cAbelianGroup`0`x`()->Category``ABELGRP`3
cAbelianMonoid`0`x`()->Category``ABELMON`124
cAbelianMonoidRing`2`x`(Join(SemiRng,etc),OrderedAbelianMonoid)->Category`(R,E)`AMR`247
cAbelianProductCategory`1`n`(Type)->Category`(A)`APRODC`830
cAbelianSemiGroup`0`x`()->Category``ABELSG`909
cadditiveValuation`0`n`()->Category``ATADDVA`1057
cAggregate`0`x`()->Category``AGG`1167
cAIntervalCategory`1`n`(OrderedAbelianSemiGroup)->Category`(R)`AINTCAT`1669
cAlgebra`1`x`(CommutativeRing)->Category`(R)`ALGEBRA`1901
cAlgebraicallyClosedField`0`x`()->Category``ACF`1991
cAlgebraicallyClosedFunctionSpace`1`x`(Join(Comparable,etc))->Category`(R)`ACFS`2034
cApproximate`0`n`()->Category``ATAPPRO`2086
carbitraryExponent`0`n`()->Category``ATARBEX`2128
carbitraryPrecision`0`n`()->Category``ATARBPR`2185
cArcHyperbolicFunctionCategory`0`x`()->Category``AHYP`2279
cArcTrigonometricFunctionCategory`0`x`()->Category``ATRIG`2344
cAssociationListAggregate`2`x`(SetCategory,Type)->Category`(Key,Entry)`ALAGG`2398
cBagAggregate`1`x`(Type)->Category`(S)`BGAGG`2564
cBasicType`0`x`()->Category``BASTYPE`2783
cBialgebra`2`x`(R:CommutativeRing,Module(R))->Category`(R,MxM)`BIALG`2899
cBiCPO`1`n`(SetCategory)->Category`(S)`BICPO`3149
cBiModule`2`x`(SemiRng,SemiRng)->Category`(R,S)`BMODULE`3396
cBinaryRecursiveAggregate`1`x`(Type)->Category`(S)`BRAGG`3511
cBinaryTreeCategory`1`x`(SetCategory)->Category`(S)`BTCAT`3647
cBitAggregate`0`x`()->Category``BTAGG`3863
cBoundedDistributiveLattice`0`n`()->Category``BDISTL`3960
cBoundedJoinSemilattice`0`n`()->Category``BJOIN`4151
cBoundedLattice`0`n`()->Category``BLAT`4433
cBoundedMeetSemilattice`0`n`()->Category``BMEET`4585
cCachableSet`0`x`()->Category``CACHSET`4790
cCancellationAbelianMonoid`0`x`()->Category``CABMON`4878
cCanonical`0`n`()->Category``ATCANON`5104
ccanonicalsClosed`0`n`()->Category``ATCANCL`5243
ccanonicalUnitNormal`0`n`()->Category``ATCUNOR`5355
cCharacteristicNonZero`0`x`()->Category``CHARNZ`5595
cCharacteristicZero`0`x`()->Category``CHARZ`5633
cCoalgebra`2`x`(R:CommutativeRing,Module(R))->Category`(R,MxM)`COALG`5668
cCoDcpo`1`n`(SetCategory)->Category`(S)`CODCPO`5835
cCoercibleFrom`1`n`(Type)->Category`(S)`KOERCEF`6067
cCoercibleTo`1`x`(Type)->Category`(S)`KOERCE`6201
cCollection`1`x`(Type)->Category`(S)`CLAGG`6335
cCombinatorialFunctionCategory`0`x`()->Category``CFCAT`6764
cCombinatorialOpsCategory`0`x`()->Category``COMBOPC`6817
cCommutativeRing`0`x`()->Category``COMRING`6948
cCommutativeStar`0`n`()->Category``ATCS`7106
cComparable`0`n`()->Category``COMPAR`7290
cComplexCategory`1`x`(CommutativeRing)->Category`(R)`COMPCAT`7391
cConvertibleFrom`1`n`(Type)->Category`(S)`KONVERF`7476
cConvertibleTo`1`x`(Type)->Category`(S)`KONVERT`7621
cDcpo`1`n`(SetCategory)->Category`(S)`DCPO`7766
cDequeueAggregate`1`x`(Type)->Category`(S)`DQAGG`8006
cDictionary`1`x`(Type)->Category`(S)`DIAGG`8178
cDictionaryOperations`1`x`(Type)->Category`(S)`DIOPS`8494
cDifferentialExtension`1`x`(Ring)->Category`(R)`DIFEXT`8622
cDifferentialPolynomialCategory`4`x`(Ring,S:OrderedSet,DifferentialVariableCategory(S),OrderedAbelianMonoidSup)->Category`(R,S,V,E)`DPOLCAT`8746
cDifferentialRing`0`x`()->Category``DIFRING`10028
cDifferentialVariableCategory`1`x`(OrderedSet)->Category`(S)`DVARCAT`10134
cDirectProductCategory`2`x`(NonNegativeInteger,Type)->Category`(dim,R)`DIRPCAT`12433
cDistributionCategory`1`n`(CommutativeRing)->Category`(R)`DISTCAT`12574
cDistributiveLattice`0`n`()->Category``DISTLAT`12632
cDivisionRing`0`x`()->Category``DIVRING`12823
cDoublyLinkedAggregate`1`x`(Type)->Category`(S)`DLAGG`12988
cElementaryFunctionCategory`0`x`()->Category``ELEMFUN`13185
cEltable`2`x`(Type,Type)->Category`(D,I)`ELTAB`13229
cEltableAggregate`2`x`(Type,Type)->Category`(Dom,Im)`ELTAGG`13530
cEntireRing`0`x`()->Category``ENTIRER`13881
cEuclideanDomain`0`x`()->Category``EUCDOM`14027
cEvalable`1`x`(SetCategory)->Category`(R)`EVALAB`14413
cExpressionSpace`0`x`()->Category``ES`14568
cExpressionSpace2`1`x`(KernelCategory(%))->Category`(K)`ESC2`14642
cExtensibleLinearAggregate`1`x`(Type)->Category`(S)`ELAGG`14717
cExtensionField`1`x`(Field)->Category`(F)`XF`15104
cFacetCategory`0`n`()->Category``FACTCAT`15190
cField`0`x`()->Category``FIELD`15395
cFieldOfPrimeCharacteristic`0`x`()->Category``FPC`15613
cFileCategory`2`x`(SetCategory,SetCategory)->Category`(Name,S)`FILECAT`15847
cFileNameCategory`0`x`()->Category``FNCAT`16082
cFinite`0`x`()->Category``FINITE`16152
cFiniteAbelianMonoidRing`2`x`(Join(SemiRng,etc),OrderedAbelianMonoid)->Category`(R,E)`FAMR`16380
cfiniteAggregate`0`n`()->Category``ATFINAG`16545
cFiniteAlgebraicExtensionField`1`x`(Field)->Category`(F)`FAXF`16612
cFiniteDivisorCategory`4`x`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),FunctionFieldCategory(F,UP,UPUP))->Category`(F,UP,UPUP,R)`FDIVCAT`18103
cFiniteFieldCategory`0`x`()->Category``FFIELDC`18329
cFiniteGraph`1`n`(SetCategory)->Category`(S)`FGRPH`18387
cFiniteGroup`0`n`()->Category``FINGRP`18462
cFiniteLinearAggregate`1`x`(Type)->Category`(S)`FLAGG`18498
cFinitelyGenerated`0`n`()->Category``FINGEN`18569
cFiniteRankAlgebra`2`x`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`FINRALG`18650
cFiniteRankNonAssociativeAlgebra`1`x`(CommutativeRing)->Category`(R)`FINAALG`18770
cFiniteSetAggregate`1`x`(SetCategory)->Category`(S)`FSAGG`18919
cFloatingPointSystem`0`x`()->Category``FPS`19114
cFormatterCategory`0`n`()->Category``FMTCAT`0
cFortranFunctionCategory`0`n`()->Category``FORTFN`20121
cFortranMachineTypeCategory`0`n`()->Category``FMTC`20254
cFortranMatrixCategory`0`n`()->Category``FMC`20352
cFortranMatrixFunctionCategory`0`n`()->Category``FMFUN`20564
cFortranProgramCategory`0`n`()->Category``FORTCAT`20705
cFortranVectorCategory`0`n`()->Category``FVC`20843
cFortranVectorFunctionCategory`0`n`()->Category``FVFUN`21055
cFramedAlgebra`2`x`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`FRAMALG`21203
cFramedModule`1`n`(Join(SemiRng,etc))->Category`(R)`FRMOD`21314
cFramedNonAssociativeAlgebra`1`x`(CommutativeRing)->Category`(R)`FRNAALG`21408
cFreeLieAlgebra`2`x`(OrderedSet,CommutativeRing)->Category`(VarSet,R)`FLALG`21684
cFreeModuleCategory`2`x`(Join(SemiRng,etc),SetCategory)->Category`(R,S)`FMCAT`21830
cFullyEvalableOver`1`x`(SetCategory)->Category`(R)`FEVALAB`22644
cFullyLinearlyExplicitOver`1`x`(Ring)->Category`(R)`FLINEXP`22764
cFullyPatternMatchable`1`x`(Type)->Category`(R)`FPATMAB`22975
cFullyRetractableTo`1`x`(Type)->Category`(S)`FRETRCT`23167
cFunctionFieldCategory`3`x`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UnivariatePolynomialCategory(Fraction(UP)))->Category`(F,UP,UPUP)`FFCAT`23469
cFunctionSpace`1`x`(Comparable)->Category`(R)`FS`23550
cFunctionSpace2`2`x`(Comparable,KernelCategory(%))->Category`(R,K)`FSC2`23621
cGcdDomain`0`x`()->Category``GCDDOM`23698
cGradedAlgebra`2`x`(CommutativeRing,AbelianMonoid)->Category`(R,E)`GRALG`23999
cGradedModule`2`x`(CommutativeRing,AbelianMonoid)->Category`(R,E)`GRMOD`24348
cGroup`0`x`()->Category``GROUP`24883
cHashable`0`n`()->Category``HASHABL`24991
cHomogeneousAggregate`1`x`(Type)->Category`(S)`HOAGG`25073
cHopfAlgebra`2`x`(R:CommutativeRing,Module(R))->Category`(R,MxM)`HOPFALG`25594
cHyperbolicFunctionCategory`0`x`()->Category``HYPCAT`25644
cIndexedAggregate`2`x`(Type,Type)->Category`(Index,Entry)`IXAGG`25702
cIndexedDirectProductCategory`2`x`(SetCategory,SetCategory)->Category`(A,S)`IDPC`25955
cIndexedProductCategory`2`n`(SetCategory,SetCategory)->Category`(A,S)`IPC`26188
cInnerEvalable`2`x`(SetCategory,Type)->Category`(A,B)`IEVALAB`26531
cIntegerNumberSystem`0`x`()->Category``INS`26854
cIntegralDomain`0`x`()->Category``INTDOM`26918
cIntervalCategory`1`x`(Join(FloatingPointSystem,etc))->Category`(R)`INTCAT`27039
cJetBundleBaseFunctionCategory`1`n`(JetBundleCategory)->Category`(JB)`JBBFC`27323
cJetBundleCategory`0`n`()->Category``JBC`27609
cJetBundleFunctionCategory`1`n`(JetBundleCategory)->Category`(JB)`JBFC`28271
cJoinSemilattice`0`n`()->Category``JOINLAT`28693
cKernelCategory`1`n`(Comparable)->Category`(S)`KERCAT`28963
cKeyedDictionary`2`x`(Type,Type)->Category`(Key,Entry)`KDAGG`29064
cLattice`0`n`()->Category``LAT`29171
clazyRepresentation`0`n`()->Category``ATLR`29303
cLazyStreamAggregate`1`x`(Type)->Category`(S)`LZSTAGG`29365
cLeftAlgebra`1`x`(Ring)->Category`(R)`LALG`30018
cLeftModule`1`x`(SemiRng)->Category`(R)`LMODULE`30081
cLeftOreRing`0`n`()->Category``LORER`30270
cLieAlgebra`1`x`(CommutativeRing)->Category`(R)`LIECAT`30409
cLinearAggregate`1`x`(Type)->Category`(S)`LNAGG`30564
cLinearlyExplicitOver`1`x`(Ring)->Category`(R)`LINEXP`31235
cLinearOrdinaryDifferentialOperatorCategory`1`x`(Ring)->Category`(A)`LODOCAT`31299
cLiouvillianFunctionCategory`0`x`()->Category``LFCAT`31563
cListAggregate`1`x`(Type)->Category`(S)`LSAGG`31623
cLogic`0`x`()->Category``LOGIC`31809
cMagma`0`x`()->Category``MAGMA`31892
cMagmaWithUnit`0`x`()->Category``MAGMAWU`31994
cMatrixCategory`3`x`(R:AbelianMonoid,FiniteLinearAggregate(R),FiniteLinearAggregate(R))->Category`(R,Row,Col)`MATCAT`32434
cMatrixOperationsCategory`3`x`(BasicType,Type,Type)->Category`(R,Row,Col)`MATOPC`33039
cMaybeSkewPolynomialCategory`3`n`(Join(SemiRng,etc),OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,VarSet)`GPOLCAT`33181
cMeetSemilattice`0`n`()->Category``MEETLAT`33359
cModularAlgebraicGcdOperations`3`n`(Type,Type,Type)->Category`(MP,MPT,MD)`MAGCDOC`33555
cModularEvaluationCategory`2`n`(Type,Type)->Category`(PT,MP)`MEVCAT`34240
cModularFactorizationOperations`4`n`(Type,Type,Type,Type)->Category`(PA,MMT,MD,PMD)`MFOPC`34368
cModule`1`x`(CommutativeRing)->Category`(R)`MODULE`34462
cMonogenicAlgebra`2`x`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`MONOGEN`34527
cMonoid`0`x`()->Category``MONOID`34635
cMonoidRingCategory`2`x`(Ring,Monoid)->Category`(R,M)`MRCAT`34757
cMultiDictionary`1`x`(SetCategory)->Category`(S)`MDAGG`34923
cmultiplicativeValuation`0`n`()->Category``ATMULVA`35116
cMultisetAggregate`1`x`(SetCategory)->Category`(S)`MSETAGG`35227
cMultivariateSkewPolynomialCategory`3`n`(Ring,OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,Var)`MORECAT`35318
cMultivariateTaylorSeriesCategory`2`x`(Ring,OrderedSet)->Category`(Coef,Var)`MTSCAT`35362
cNonAssociativeAlgebra`1`x`(CommutativeRing)->Category`(R)`NAALG`35469
cNonAssociativeRing`0`x`()->Category``NARING`35664
cNonAssociativeRng`0`x`()->Category``NARNG`35807
cNonAssociativeSemiRing`0`n`()->Category``NASRING`36159
cNonAssociativeSemiRng`0`n`()->Category``NASRNG`36264
cNormalizedTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`NTSCAT`36385
cnoZeroDivisors`0`n`()->Category``ATNZDIV`36948
cOctonionCategory`1`x`(CommutativeRing)->Category`(R)`OC`37059
cOneDimensionalArrayAggregate`1`x`(Type)->Category`(S)`A1AGG`37272
cOpenMath`0`x`()->Category``OM`38059
cOrderedAbelianGroup`0`x`()->Category``OAGROUP`38149
cOrderedAbelianMonoid`0`x`()->Category``OAMON`38246
cOrderedAbelianMonoidSup`0`x`()->Category``OAMONS`38344
cOrderedAbelianSemiGroup`0`x`()->Category``OASGP`38652
cOrderedCancellationAbelianMonoid`0`x`()->Category``OCAMON`38794
cOrderedFinite`0`x`()->Category``ORDFIN`38905
cOrderedIntegralDomain`0`x`()->Category``OINTDOM`38932
cOrderedMonoid`0`x`()->Category``ORDMON`39053
cOrderedMultisetAggregate`1`x`(OrderedSet)->Category`(S)`OMSAGG`39156
cOrderedRing`0`x`()->Category``ORDRING`39354
cOrderedSemiGroup`0`n`()->Category``OSGROUP`39483
cOrderedSet`0`x`()->Category``ORDSET`39526
cOutputFormatterCategory`0`n`()->Category``FORMCAT`39837
cPAdicIntegerCategory`1`x`(Integer)->Category`(p)`PADICCT`39912
cPartialDifferentialRing`1`x`(SetCategory)->Category`(S)`PDRING`40002
cPartialOrder`0`x`()->Category``PORDER`40107
cPartialTranscendentalFunctions`1`x`(Type)->Category`(K)`PTRANFN`40222
cPatternable`1`x`(Type)->Category`(R)`PATAB`40357
cPatternMatchable`1`x`(SetCategory)->Category`(S)`PATMAB`40546
cPermutationCategory`1`x`(SetCategory)->Category`(S)`PERMCAT`40667
cPlottablePlaneCurveCategory`0`x`()->Category``PPCURVE`40812
cPlottableSpaceCurveCategory`0`x`()->Category``PSCURVE`41150
cPointCategory`1`x`(Ring)->Category`(R)`PTCAT`41487
cPolynomialCategory`3`x`(Join(SemiRng,etc),OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,VarSet)`POLYCAT`41668
cPolynomialFactorizationExplicit`0`x`()->Category``PFECAT`41879
cPolynomialSetCategory`4`x`(R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,RecursivePolynomialCategory(R,E,VarSet))->Category`(R,E,VarSet,P)`PSETCAT`42022
cPoset`1`n`(SetCategory)->Category`(S)`POSET`42617
cPowerSeriesCategory`3`x`(Ring,OrderedAbelianMonoid,OrderedSet)->Category`(Coef,Expon,Var)`PSCAT`42818
cPreorder`1`n`(SetCategory)->Category`(S)`PREORD`42942
cPrimitiveFunctionCategory`0`x`()->Category``PRIMCAT`43119
cPrincipalIdealDomain`0`x`()->Category``PID`43174
cPriorityQueueAggregate`1`x`(OrderedSet)->Category`(S)`PRQAGG`43523
cQuaternionCategory`1`x`(CommutativeRing)->Category`(R)`QUATCAT`43640
cQueueAggregate`1`x`(Type)->Category`(S)`QUAGG`43777
cQuotientFieldCategory`1`x`(IntegralDomain)->Category`(S)`QFCAT`43859
cRadicalCategory`0`x`()->Category``RADCAT`43950
cRealClosedField`0`x`()->Category``RCFIELD`44020
cRealConstant`0`x`()->Category``REAL`44114
cRealNumberSystem`0`x`()->Category``RNS`44199
cRealRootCharacterizationCategory`2`x`(TheField:Join(OrderedRing,etc),UnivariatePolynomialCategory(TheField))->Category`(TheField,ThePols)`RRCC`44493
cRectangularMatrixCategory`5`x`(m:NonNegativeInteger,n:NonNegativeInteger,R:Join(SemiRng,etc),DirectProductCategory(n,R),DirectProductCategory(m,R))->Category`(m,n,R,Row,Col)`RMATCAT`44603
cRecursiveAggregate`1`x`(Type)->Category`(S)`RCAGG`44831
cRecursivePolynomialCategory`3`x`(Ring,OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,V)`RPOLCAT`45274
cRegularTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`RSETCAT`45732
cRetractableFrom`1`n`(Type)->Category`(S)`RETFROM`47918
cRetractableTo`1`x`(Type)->Category`(S)`RETRACT`48095
cRightModule`1`x`(SemiRng)->Category`(R)`RMODULE`48270
cRing`0`x`()->Category``RING`48462
cRng`0`x`()->Category``RNG`48555
cSegmentCategory`1`x`(Type)->Category`(S)`SEGCAT`48773
cSegmentExpansionCategory`2`x`(S:OrderedRing,StreamAggregate(S))->Category`(S,L)`SEGXCAT`48862
cSemiGroup`0`x`()->Category``SGROUP`48952
cSemiRing`0`n`()->Category``SRING`49079
cSemiRng`0`n`()->Category``SRNG`49167
cSequenceCategory`1`n`(CommutativeRing)->Category`(R)`SEQUCAT`49271
cSetAggregate`1`x`(SetCategory)->Category`(S)`SETAGG`49369
cSetCategory`0`x`()->Category``SETCAT`49692
cSExpressionCategory`4`x`(SetCategory,SetCategory,SetCategory,SetCategory)->Category`(Str,Sym,Int,Flt)`SEXCAT`49963
cshallowlyMutable`0`n`()->Category``ATSHMUT`50065
cSolvableSkewPolynomialCategory`2`n`(Ring,OrderedAbelianMonoidSup)->Category`(R,Expon)`SSKPOLC`50159
cSpecialFunctionCategory`0`x`()->Category``SPFCAT`50440
cSPointCategory`0`n`()->Category``SPTCAT`50488
cSquareFreeNormalizedTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SNTSCAT`50817
cSquareFreeRegularTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SFRTCAT`50972
cSquareMatrixCategory`4`x`(ndim:NonNegativeInteger,R:Join(SemiRng,etc),DirectProductCategory(ndim,R),DirectProductCategory(ndim,R))->Category`(ndim,R,Row,Col)`SMATCAT`51449
cStackAggregate`1`x`(Type)->Category`(S)`SKAGG`51705
cStepThrough`0`x`()->Category``STEP`51786
cStreamAggregate`1`x`(Type)->Category`(S)`STAGG`52334
cStreamTaylorSeriesOperationsCategory`2`n`(R:Ring,LeftModule(R))->Category`(R,M)`STTAYOC`52593
cStringAggregate`0`x`()->Category``SRAGG`52915
cStringCategory`0`x`()->Category``STRICAT`53014
cTableAggregate`2`x`(Type,Type)->Category`(Key,Entry)`TBAGG`53055
cTaylorSeriesExpansion`5`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,Var:OrderedSet,PowerSeriesCategory(Coef,Expon,Var),UnivariateTaylorSeriesCategory(Coef))->Category`(Coef,Expon,Var,PS,UTS)`TSEREXP`53173
cTensorPowerCategory`3`x`(NonNegativeInteger,R:CommutativeRing,Module(R))->Category`(n,R,M)`TENSPC`53232
cTensorProductCategory`3`x`(R:CommutativeRing,Module(R),Module(R))->Category`(R,M,N)`TENSCAT`53299
cTensorProductProperty`5`x`(R:CommutativeRing,M:Module(R),N:Module(R),TensorProductCategory(R,M,N),Module(R))->Category`(R,M,N,MxN,S)`TENSPRP`53368
cThreeSpaceCategory`1`x`(Ring)->Category`(R)`SPACEC`53413
cTranscendentalFunctionCategory`0`x`()->Category``TRANFUN`53599
cTriangularSetCategory`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`TSETCAT`53659
cTrigonometricFunctionCategory`0`x`()->Category``TRIGCAT`54681
cTwoDimensionalArrayCategory`3`x`(R:Type,IndexedAggregate(Integer,R),IndexedAggregate(Integer,R))->Category`(R,Row,Col)`ARR2CAT`54729
cTwoSidedRecip`0`n`()->Category``ATTWSR`55273
cType`0`x`()->Category``TYPE`55378
cUnaryRecursiveAggregate`1`x`(Type)->Category`(S)`URAGG`55406
cUniqueFactorizationDomain`0`x`()->Category``UFD`55866
cunitsKnown`0`n`()->Category``ATUNIKN`56036
cUnivariateLaurentSeriesCategory`1`x`(Ring)->Category`(Coef)`ULSCAT`56260
cUnivariateLaurentSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateTaylorSeriesCategory(Coef))->Category`(Coef,UTS)`ULSCCAT`56360
cUnivariatePolynomialCategory`1`x`(Join(SemiRng,etc))->Category`(R)`UPOLYC`56651
cUnivariatePowerSeriesCategory`2`x`(Ring,OrderedAbelianMonoid)->Category`(Coef,Expon)`UPSCAT`56798
cUnivariatePuiseuxSeriesCategory`1`x`(Ring)->Category`(Coef)`UPXSCAT`57144
cUnivariatePuiseuxSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateLaurentSeriesCategory(Coef))->Category`(Coef,ULS)`UPXSCCA`57244
cUnivariateSeriesWithRationalExponents`2`n`(Ring,OrderedAbelianMonoid)->Category`(Coef,Expon)`RATPSCT`57539
cUnivariateSkewPolynomialCategory`1`x`(Ring)->Category`(R)`OREPCAT`57602
cUnivariateTaylorSeriesCategory`1`x`(Ring)->Category`(Coef)`UTSCAT`57979
cVarCat`0`n`()->Category``VARCAT`58077
cVariablesCommuteWithCoefficients`0`n`()->Category``ATVCWC`58375
cVectorCategory`1`x`(Type)->Category`(R)`VECTCAT`58464
cXAlgebra`1`x`(Ring)->Category`(R)`XALG`58881
cXFreeAlgebra`2`x`(OrderedSet,Ring)->Category`(vl,R)`XFALG`59092
cXPolynomialsCat`2`x`(OrderedSet,Ring)->Category`(vl,R)`XPOLYC`59199
dAInterval`1`n`(OrderedAbelianSemiGroup)->AIntervalCategory(R)`(R)`AINTRVL`59364
dAlgebraGivenByStructuralConstants`4`x`(R:CommutativeRing,n:PositiveInteger,ls:List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(R),etc)`(R,n,ls,gamma)`ALGSC`59428
dAlgebraicFunctionField`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),UPUP)->Join(FunctionFieldCategory(F,UP,UPUP),etc)`(F,UP,UPUP,modulus)`ALGFF`59879
dAlgebraicNumber`0`x`()->Join(ExpressionSpace,etc)``AN`59945
dAnonymousFunction`0`n`()->SetCategory``ANON`59994
dAntiSymm`2`n`(Ring,List(Symbol))->Join(LeftAlgebra(R),etc)`(R,lVar)`ANTISYM`60043
dAny`0`x`()->Join(SetCategory,etc)``ANY`60090
dArrayStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`ASTACK`60522
dAssociatedJordanAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`JORDAN`60569
dAssociatedLieAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`LIE`61630
dAssociationList`2`n`(SetCategory,Entry:Type)->AssociationListAggregate(Key,Entry)`(Key,Entry)`ALIST`62657
dAutomorphism`1`n`(Ring)->Join(Group,etc)`(R)`AUTOMOR`62970
dBalancedBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BBTREE`63056
dBalancedPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`BPADIC`63398
dBalancedPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(BalancedPAdicInteger(p)),etc)`(p)`BPADICRT`63612
dBasicFile`0`n`()->etc``BASFILE`63819
dBasicKeyedAccessFile`0`n`()->etc``BKAFILE`63886
dBasicOperator`0`x`()->Join(OrderedSet,etc)``BOP`63960
dBinaryExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``BINARY`64092
dBinarySearchTree`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BSTREE`64182
dBinaryTournament`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BTOURN`64429
dBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BTREE`64717
dBits`0`x`()->Join(BitAggregate,etc)``BITS`64951
dBitStreamFrame`0`n`()->Join(Lattice,etc)``BITST`65018
dBoolean`0`x`()->Join(OrderedSet,etc)``BOOLEAN`65100
dCardinalNumber`0`x`()->Join(OrderedSet,etc)``CARD`65193
dCartesianTensor`3`x`(Integer,dim:NonNegativeInteger,R:CommutativeRing)->Join(GradedAlgebra(R,NonNegativeInteger),etc)`(minix,dim,R)`CARTEN`66565
dCell`1`n`(RealClosedField)->Join(CoercibleTo(OutputForm),etc)`(TheField)`CELL`66809
dChainComplex`0`n`()->Join(SetCategory,etc)``CHAINC`66891
dCharacter`0`x`()->Join(OrderedFinite,etc)``CHAR`67300
dCharacterClass`0`x`()->Join(SetCategory,etc)``CCLASS`67358
dCliffordAlgebra`3`x`(n:PositiveInteger,K:Field,SquareMatrix(n,K))->Join(Ring,etc)`(n,K,bLin)`CLIF`67448
dCoChainComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`COCHNC`67701
dColor`0`x`()->Join(AbelianSemiGroup,etc)``COLOR`68114
dCommutator`0`x`()->Join(SetCategory,etc)``COMM`68224
dComplex`1`x`(CommutativeRing)->Join(ComplexCategory(R),etc)`(R)`COMPLEX`68260
dComplexDoubleFloatMatrix`0`n`()->MatrixCategory(Complex(DoubleFloat),ComplexDoubleFloatVector,ComplexDoubleFloatVector)``CDFMAT`68463
dComplexDoubleFloatVector`0`n`()->Join(VectorCategory(Complex(DoubleFloat)),etc)``CDFVEC`68681
dContinuedFraction`1`x`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`68898
dCubicalFacet`0`n`()->Join(FacetCategory,etc)``CFACET`69364
dCyclicGroup`2`n`(PositiveInteger,Symbol)->Join(FiniteGroup,etc)`(n,g)`CYCGRP`69693
dDatabase`1`x`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`69734
dDataList`1`x`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`69828
dDecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`69885
dDeltaComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`DELTAC`69976
dDenavitHartenbergMatrix`1`x`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`70606
dDequeue`1`x`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`70889
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`70935
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`71184
dDihedralGroup`3`n`(PositiveInteger,Symbol,Symbol)->Join(FiniteGroup,etc)`(n,a,b)`DIHGRP`71450
dDirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`DGRPH`71579
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->Join(DirectProductCategory(dim,R),etc)`(dim,R)`DIRPROD`71657
dDirectProductMatrixModule`4`n`(n:PositiveInteger,R:Ring,M:SquareMatrixCategory(n,R,DirectProduct(n,R),DirectProduct(n,R)),S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,M,S)`DPMM`72243
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`72329
dDirichletRing`1`n`(Ring)->Join(Ring,etc)`(Coef)`DIRRING`72428
dDistributedJetBundlePolynomial`4`n`(Ring,JB:JetBundleCategory,LJV:List(JB),E:DirectProductCategory(#(LJV),NonNegativeInteger))->Join(PolynomialCategory(R,E,JB),etc)`(R,JB,LJV,E)`DJBP`72531
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`72796
dDistribution`1`x`(CommutativeRing)->Join(DistributionCategory(R),etc)`(R)`DISTRO`73134
dDoubleFloat`0`x`()->Join(FloatingPointSystem,etc)``DFLOAT`73279
dDoubleFloatMatrix`0`n`()->MatrixCategory(DoubleFloat,DoubleFloatVector,DoubleFloatVector)``DFMAT`75094
dDoubleFloatVector`0`n`()->Join(VectorCategory(DoubleFloat),etc)``DFVEC`75304
dDrawOption`0`x`()->Join(SetCategory,etc)``DROPT`75513
dElementaryFunctionsGeneralizedUnivariatePowerSeries`3`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,PS:Join(UnivariatePowerSeriesCategory(Coef,Expon),etc))->Join(PartialTranscendentalFunctions(PS),etc)`(Coef,Expon,PS)`EFGUSER`75607
dElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`75694
dElementaryFunctionsUnivariatePuiseuxSeries`4`n`(Coef:Algebra(Fraction(Integer)),ULS:UnivariateLaurentSeriesCategory(Coef),UPXS:UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),PartialTranscendentalFunctions(ULS))->Join(PartialTranscendentalFunctions(UPXS),etc)`(Coef,ULS,UPXS,EFULS)`EFUPXS`76090
dEnumeration`1`x`special`(a,b,...,c)`ENUM`76486
dEqTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`76642
dEquation`1`x`(Type)->Join(Type,etc)`(S)`EQ`76807
dErrorIndicator`0`n`()->Join(RetractableTo(List(String)),etc)``ERRIND`77046
dEuclideanModularRing`6`n`(S:CommutativeRing,R:UnivariatePolynomialCategory(S),Mod:AbelianMonoid,(R,Mod)->R,(Mod,Mod)->Union(Mod,"failed"),(R,R,Mod)->Union(R,"failed"))->Join(EuclideanDomain,etc)`(S,R,Mod,reduction,merge,exactQuo)`EMR`77096
dExit`0`x`()->SetCategory``EXIT`77294
dExponentialExpansion`4`n`(R:Join(Comparable,etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(QuotientFieldCategory(UnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)),etc)`(R,FE,var,cen)`EXPEXPAN`77577
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Join(Field,etc),var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`77859
dExpression`1`x`(Comparable)->Join(FunctionSpace(R),etc)`(R)`EXPR`78619
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`78667
dFactored`1`x`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`79494
dFakePolynomial`0`n`()->Join(CoercibleTo(OutputForm),etc)``FAKEPOL`80308
dFile`1`x`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`80575
dFileName`0`x`()->FileNameCategory``FNAME`80709
dFiniteBiCPO`1`n`(SetCategory)->BiCPO(S)`(S)`FBICPO`80778
dFiniteCoDcpo`1`n`(SetCategory)->CoDcpo(S)`(S)`FCDCPO`80993
dFiniteCubicalComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`CUBEC`81194
dFiniteDcpo`1`n`(SetCategory)->Dcpo(S)`(S)`FDCPO`81495
dFiniteDivisor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->Join(FiniteDivisorCategory(F,UP,UPUP,R),etc)`(F,UP,UPUP,R)`FDIV`81696
dFiniteField`2`x`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`81923
dFiniteFieldCyclicGroup`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`82118
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`82754
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`83371
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`83958
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`84255
dFiniteFieldNormalBasis`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`84527
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`85009
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`85507
dFiniteLattice`2`n`(S:SetCategory,FiniteBiCPO(S))->Join(Lattice,etc)`(S,p)`FINLAT`86006
dFiniteMoebiusFunction`1`n`(Join(PartialOrder,etc))->Join(SetCategory,etc)`(P)`FMOEBF`86209
dFinitePoset`1`n`(SetCategory)->Poset(S)`(S)`FPOSET`86288
dFiniteSimplicialComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`SIMPC`86489
dFlexibleArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`86947
dFloat`0`x`()->Join(FloatingPointSystem,etc)``FLOAT`87919
dFormat1D`0`n`()->FormatterCategory``FMT1D`91599
dFormat2D`0`n`()->FormatterCategory``FMT2D`91764
dFormatLaTeX`0`n`()->Join(FormatterCategory,etc)``FMTLATEX`91878
dFormatMathJax`0`n`()->Join(FormatterCategory,etc)``FMTMJAX`92285
dFormattedOutput`0`n`()->Join(OutputFormatterCategory,etc)``FMTOUT`92472
dFormatter`1`n`(FormatterCategory)->Join(OutputFormatterCategory,etc)`(F)`FORMAT`0
dFortranCode`0`n`()->Join(SetCategory,etc)``FC`92693
dFortranExpression`3`n`(List(Symbol),List(Symbol),R:FortranMachineTypeCategory)->Join(ExpressionSpace,etc)`(basicSymbols,subscriptedSymbols,R)`FEXPR`92799
dFortranFormat`0`n`()->OutputFormatterCategory``FORTFORM`92956
dFortranProgram`4`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol),SymbolTable)->Join(FortranProgramCategory,etc)`(name,returnType,arguments,symbols)`FORTRAN`93055
dFortranScalarType`0`n`()->Join(CoercibleTo(OutputForm),etc)``FST`93225
dFortranTemplate`0`n`()->Join(FileCategory(FileName,String),etc)``FTEM`93359
dFortranType`0`n`()->Join(SetCategory,etc)``FT`93402
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`93508
dFourierSeries`2`x`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`93564
dFraction`1`x`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`93596
dFractionalIdeal`4`n`(R:EuclideanDomain,F:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(F),A:Join(FramedAlgebra(F,UP),etc))->Join(Group,etc)`(R,F,UP,A)`FRIDEAL`93862
dFractionalIdealAsModule`5`n`(R:EuclideanDomain,F:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(F),A:FramedAlgebra(F,UP),Vector(A))->Join(Monoid,etc)`(R,F,UP,A,ibasis)`FRIMOD`93907
dFreeDivisionAlgebra`2`n`(OrderedSet,F:Field)->Join(DivisionRing,etc)`(VAR,F)`FDALG`93957
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`94066
dFreeMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`FMAGMA`94317
dFreeModule`2`n`(Join(SemiRng,etc),S:SetCategory)->Join(BiModule(R,R),etc)`(R,S)`FM`94458
dFreeMonoid`1`n`(SetCategory)->Join(Monoid,etc)`(S)`FMONOID`95257
dFreeNilpotentLie`3`x`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`95844
dFullPartialFractionExpansion`2`x`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`95984
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`96045
dFunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`FNGRPH`96090
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`96139
dGeneralizedFiniteMoebiusFunction`2`n`(Join(PartialOrder,etc),R:Field)->etc`(P,R)`GENMOEBF`96671
dGeneralizedUnivariatePowerSeries`4`n`(Coef:Ring,Expon:Join(OrderedAbelianMonoid,etc),Symbol,Coef)->Join(UnivariatePowerSeriesCategory(Coef,Expon),etc)`(Coef,Expon,var,cen)`GENUSER`96743
dGeneralModulePolynomial`6`n`(vl:List(Symbol),R:CommutativeRing,IS:OrderedSet,E:DirectProductCategory(#(vl),NonNegativeInteger),ff:(Record(index:IS,exponent:E),Record(index:IS,exponent:E))->Boolean,P:PolynomialCategory(R,E,OrderedVariableList(vl)))->Join(Module(P),etc)`(vl,R,IS,E,ff,P)`GMODPOL`96812
dGeneralPolynomialSet`4`n`(R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,P:RecursivePolynomialCategory(R,E,VarSet))->Join(PolynomialSetCategory(R,E,VarSet,P),etc)`(R,E,VarSet,P)`GPOLSET`96845
dGeneralQuaternion`3`n`(R:CommutativeRing,R,R)->QuaternionCategory(R)`(R,p,q)`QUAT2`96881
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:BasicType,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`97153
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`97269
dGeneralUnivariatePowerSeries`3`x`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`97733
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`98029
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`98193
dGroupPresentation`0`n`()->Join(SetCategory,etc)``GROUPP`98304
dGuessOption`0`x`()->Join(SetCategory,etc)``GOPT`98742
dGuessOptionFunctions0`0`n`()->Join(SetCategory,etc)``GOPT0`98833
dHashState`0`n`()->etc``HASHSTAT`98945
dHashTable`3`n`(SetCategory,Entry:Type,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`99012
dHeap`1`x`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`99169
dHexadecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`99236
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->DirectProductCategory(dim,S)`(dim,S)`HDP`99331
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`99653
dHomology`0`n`()->Join(SetCategory,etc)``HOMOL`100037
dHTMLFormat`0`n`()->Join(SetCategory,etc)``HTMLFORM`100376
dHyperellipticFiniteDivisor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->FiniteDivisorCategory(F,UP,UPUP,R)`(F,UP,UPUP,R)`HELLFDIV`100460
dI16Matrix`0`n`()->MatrixCategory(Integer,I16Vector,I16Vector)``I16MAT`100803
dI16Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I16VEC`100996
dI32Matrix`0`n`()->MatrixCategory(Integer,I32Vector,I32Vector)``I32MAT`101187
dI32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I32VEC`101380
dI8Matrix`0`n`()->MatrixCategory(Integer,I8Vector,I8Vector)``I8MAT`101571
dI8Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``I8VEC`101763
dILogic`0`n`()->Join(BoundedLattice,etc)``ILOGIC`101953
dIncidenceAlgebra`2`n`(Ring,S:SetCategory)->Join(SetCategory,etc)`(R,S)`INCALG`102039
dIndexCard`0`x`()->Join(OrderedSet,etc)``ICARD`102095
dIndexedBits`1`n`(Integer)->Join(BitAggregate,etc)`(mn)`IBITS`102177
dIndexedDirectProductObject`2`n`(SetCategory,S:SetCategory)->Join(IndexedDirectProductCategory(A,S),etc)`(A,S)`IDPO`102275
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`102748
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`102956
dIndexedJetBundle`5`n`(Symbol,Symbol,Symbol,PositiveInteger,PositiveInteger)->JetBundleCategory`(x,u,p,n,m)`IJB`103928
dIndexedList`2`n`(Type,Integer)->ListAggregate(S)`(S,mn)`ILIST`104069
dIndexedMatrix`3`n`(AbelianMonoid,mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`104311
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`104773
dIndexedString`1`n`(Integer)->StringAggregate`(mn)`ISTRING`104830
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`104877
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`105447
dInfiniteCyclicGroup`1`n`(Symbol)->Join(Group,etc)`(g)`INFCG`105551
dInfiniteTuple`1`x`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`105581
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`105682
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`105906
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`106063
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`106177
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`106738
dInnerTable`3`n`(Key:SetCategory,Entry:Type,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`106851
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`106959
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat),etc)``INFORM`107331
dInteger`0`x`()->Join(IntegerNumberSystem,etc)``INT`107483
dIntegerLocalizedAtPrime`1`n`(PositiveInteger)->Join(EuclideanDomain,etc)`(p)`INTLOCP`107561
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`107770
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`107863
dInterval`1`x`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`108348
dJetBundle`2`n`(List(Symbol),List(Symbol))->Join(JetBundleCategory,etc)`(IVar,DVar)`JBUNDLE`108643
dJetBundleExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBE`108813
dJetBundleLinearFunction`2`n`(JB:JetBundleCategory,D:JetBundleBaseFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JBLF`109147
dJetBundlePolynomial`2`n`(Ring,JB:JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(R,JB)`JBP`109301
dJetBundleSymAna`3`n`(JetBundleCategory,Union(Symbol,List(Symbol)),Union(Symbol,List(Symbol)))->Join(JetBundleCategory,etc)`(JB1,xi,eta)`JBSA`109456
dJetBundleXExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBX`109684
dJetDifferential`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JDIFF`109947
dJetDifferentialEquation`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`JDE`110142
dJetLazyFunction`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JLF`110746
dJetVectorField`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JVF`111657
dKernel`1`n`(Comparable)->Join(CachableSet,etc)`(S)`KERNEL`111827
dKeyedAccessFile`1`x`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`111929
dLambda`1`n`(VarCat)->Join(CoercibleTo(OutputForm),etc)`(UT)`LAMBDA`112026
dLatticeJoinOfMeets`0`n`()->Join(BoundedDistributiveLattice,etc)``LATJOFM`112077
dLatticeMeetOfJoins`0`n`()->Join(BoundedDistributiveLattice,etc)``LATMOFJ`112161
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`112245
dLibrary`0`x`()->Join(TableAggregate(String,Any),etc)``LIB`112312
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`112377
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`112687
dLieSquareMatrix`2`x`(PositiveInteger,R:CommutativeRing)->Join(CoercibleTo(SquareMatrix(n,R)),etc)`(n,R)`LSQM`112821
dLinearMultivariateMatrixPencil`1`n`(Ring)->etc`(R)`LINPEN`113166
dLinearOrdinaryDifferentialOperator`2`x`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`113225
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`113481
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`113727
dLinearOrdinaryDifferentialOperator3`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->LinearOrdinaryDifferentialOperatorCategory(R)`(Coeff,A,R)`LODO3`114008
dList`1`x`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`114223
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`114510
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`114679
dLocalAlgebra`2`n`(Algebra(R),R:CommutativeRing)->Join(Algebra(R),etc)`(A,R)`LA`115064
dLocalize`2`n`(Module(R),R:CommutativeRing)->Join(Module(R),etc)`(M,R)`LO`115202
dLoop`0`n`()->Join(SetCategory,etc)``LOOP`115362
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`115668
dMachineComplex`0`n`()->Join(FortranMachineTypeCategory,etc)``MCMPLX`116397
dMachineFloat`0`n`()->Join(FloatingPointSystem,etc)``MFLOAT`116499
dMachineInteger`0`n`()->Join(FortranMachineTypeCategory,etc)``MINT`116601
dMakeCachableSet`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`MKCHSET`116696
dMapping`1`x`special`(T,S)`MAPPING`116788
dMathMLFormat`0`n`()->Join(SetCategory,etc)``MMLFORM`117028
dMatrix`1`x`(AbelianMonoid)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`117123
dModMonic`2`n`(R:Ring,Rep:UnivariatePolynomialCategory(R))->Join(Ring,etc)`(R,Rep)`MODMON`117224
dModularAlgebraicGcdTools2`0`n`()->ModularAlgebraicGcdOperations(Polynomial(Integer),PrimitiveArray(U32Vector),Record(svz:Symbol,sm:U32Vector,sp:Integer))``MAGCDT2`117459
dModularAlgebraicGcdTools3`0`n`()->Join(ModularAlgebraicGcdOperations(Polynomial(Integer),SparseUnivariatePolynomial(Polynomial(Integer)),Record(svz:List(Symbol),sm:List(Polynomial(Integer)),msizes:List(Integer),sp:Integer)),etc)``MAGCDT3`117569
dModularAlgebraicGcdTools4`0`n`()->ModularAlgebraicGcdOperations(FakePolynomial,SparseUnivariatePolynomial(Polynomial(Integer)),Record(svz:List(Symbol),sm:List(Polynomial(Integer)),msizes:List(Integer),sp:Integer))``MAGCDT4`117646
dModularEvaluation1`0`n`()->ModularEvaluationCategory(Polynomial(Integer),Polynomial(Integer))``MEVAL1`117751
dModularEvaluation2`0`n`()->ModularEvaluationCategory(Record(var:Symbol,coef:SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))),FakePolynomial)``MEVAL2`117848
dModularFactorizationTools1`0`n`()->ModularFactorizationOperations(U32Vector,U32Matrix,Integer,List(Record(ind:NonNegativeInteger,poly:U32Vector)))``MODFT1`117969
dModularFactorizationTools3`1`n`(FiniteFieldCategory)->Join(ModularFactorizationOperations(PrimitiveArray(K),PrimitiveTwoDimensionalArray(K),Record(i_mod:Integer,deg:Integer),Record(mod_data:Record(i_mod:Integer,deg:Integer),p_mod:PrimitiveArray(K))),etc)`(K)`MODFT3`118141
dModularField`5`n`(R:CommutativeRing,Mod:AbelianMonoid,(R,Mod)->R,(Mod,Mod)->Union(Mod,"failed"),(R,R,Mod)->Union(R,"failed"))->Join(Field,etc)`(R,Mod,reduction,merge,exactQuo)`MODFIELD`118265
dModularRing`5`n`(R:CommutativeRing,Mod:AbelianMonoid,(R,Mod)->R,(Mod,Mod)->Union(Mod,"failed"),(R,R,Mod)->Union(R,"failed"))->Join(Ring,etc)`(R,Mod,reduction,merge,exactQuo)`MODRING`118485
dModuleMonomial`3`n`(IS:OrderedSet,E:SetCategory,(Record(index:IS,exponent:E),Record(index:IS,exponent:E))->Boolean)->Join(OrderedSet,etc)`(IS,E,ff)`MODMONOM`118693
dModuleOperator`2`x`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`118726
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`118775
dMonoidRing`2`n`(Ring,M:Monoid)->MonoidRingCategory(R,M)`(R,M)`MRING`118898
dMultifunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`MFGRPH`119833
dMultiset`1`x`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`119882
dMultivariatePolynomial`2`x`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`119929
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`120235
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`120488
dNone`0`n`()->SetCategory``NONE`120670
dNonNegativeInteger`0`x`()->Join(OrderedAbelianMonoidSup,etc)``NNI`120944
dNonNegativeRational`0`n`()->Join(OrderedAbelianMonoidSup,etc)``NNRAT`121018
dOctonion`1`x`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`121098
dOneDimensionalArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`121595
dOnePointCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`121655
dOpenMathConnection`0`x`()->etc``OMCONN`121704
dOpenMathDevice`0`x`()->etc``OMDEV`121841
dOpenMathEncoding`0`x`()->Join(SetCategory,etc)``OMENC`122031
dOpenMathError`0`x`()->Join(SetCategory,etc)``OMERR`122105
dOpenMathErrorKind`0`x`()->Join(SetCategory,etc)``OMERRK`122170
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`122332
dOperatorHandlers`1`n`(Type)->etc`(HANDLER)`OPHANDL`122381
dOrderedCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`122564
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoid,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`122623
dOrderedExpression`0`n`()->Join(OrderedRing,etc)``OEXPR`122939
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`123009
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`123056
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`123360
dOrdinaryDifferentialRing`3`x`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(%,%),etc)`(Kernels,R,var)`ODR`124033
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`124154
dOrdSetInts`0`x`()->Join(OrderedSet,etc)``OSI`124380
dOrientedFacet`0`n`()->Join(FacetCategory,etc)``OFACET`124561
dOutputBox`0`n`()->Join(CoercibleTo(OutputForm),etc)``OUTBOX`124886
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`125212
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`125472
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`125657
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`125834
dPalette`0`x`()->Join(SetCategory,etc)``PALETTE`125907
dParametricComplexCurve`1`x`(Type)->etc`(VT)`PARCCURV`125975
dParametricPlaneCurve`1`x`(Type)->etc`(ComponentFunction)`PARPCURV`126257
dParametricSpaceCurve`1`x`(Type)->etc`(ComponentFunction)`PARSCURV`126350
dParametricSurface`1`x`(Type)->etc`(ComponentFunction)`PARSURF`126441
dPartialDifferentialOperator`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->Join(MultivariateSkewPolynomialCategory(R,IndexedExponents(Var),Var),etc)`(R,Var)`PDO`126525
dPartialFraction`1`x`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`126798
dPartition`0`n`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`127635
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`127878
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`127925
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`128155
dPendantTree`1`x`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`128372
dPermutation`1`x`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`128511
dPermutationGroup`1`x`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`128992
dPiDomain`0`x`()->Join(Field,etc)``HACKPI`129446
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`129722
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`129790
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`130155
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`130489
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`130766
dPolynomial`1`x`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`130822
dPolynomialIdeal`4`x`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`131095
dPolynomialRing`2`n`(Join(SemiRng,etc),E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`131593
dPositiveInteger`0`x`()->Join(OrderedAbelianSemiGroup,etc)``PI`131951
dPrimeField`1`x`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`132018
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`132153
dPrimitiveTwoDimensionalArray`1`n`(Type)->Join(TwoDimensionalArrayCategory(S,PrimitiveArray(S),PrimitiveArray(S)),etc)`(S)`PRIMMAT2`132283
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`132468
dProductFacet`0`n`()->Join(FacetCategory,etc)``PFACET`132726
dQuadraticForm`2`x`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`133059
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`133122
dQuaternion`1`x`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`134792
dQueryEquation`0`x`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`134877
dQueue`1`x`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`134931
dRadicalFunctionField`5`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),Fraction(UP),NonNegativeInteger)->FunctionFieldCategory(F,UP,UPUP)`(F,UP,UPUP,radicnd,n)`RADFF`134975
dRadixExpansion`1`x`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`135040
dRealClosure`1`x`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`135185
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`135252
dRectangularMatrix`3`n`(NonNegativeInteger,n:NonNegativeInteger,R:Join(SemiRng,etc))->Join(RectangularMatrixCategory(m,n,R,DirectProduct(n,R),DirectProduct(m,R)),etc)`(m,n,R)`RMATRIX`135489
dReference`1`n`(Type)->Join(Type,etc)`(S)`REF`135624
dRegularChain`2`x`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`135701
dRegularTriangularSet`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(RegularTriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`REGSET`135923
dResidueRing`5`n`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,FPol:PolynomialCategory(F,Expon,VarSet),List(FPol))->Join(CommutativeRing,etc)`(F,Expon,VarSet,FPol,LFPol)`RESRING`136174
dResult`0`n`()->Join(TableAggregate(Symbol,Any),etc)``RESULT`136376
dRewriteRule`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`136570
dRightOpenIntervalRootCharacterization`2`x`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`136607
dRomanNumeral`0`x`()->Join(IntegerNumberSystem,etc)``ROMAN`136703
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`136795
dRuleset`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`136836
dSArgand`0`n`()->Join(SPointCategory,etc)``SARGND`136905
dSBoundary`1`n`(SPointCategory)->etc`(PT)`SBOUND`137038
dSCartesian`1`n`(PositiveInteger)->SPointCategory`(n)`SCRT`138636
dScene`1`n`(SPointCategory)->etc`(PT)`SCENE`138747
dSceneIFS`1`n`(SPointCategory)->etc`(PT)`SCIFS`138835
dSceneNamedPoints`1`n`(SPointCategory)->Join(SetCategory,etc)`(PT)`SCNP`139187
dSConformal`1`n`(PositiveInteger)->Join(SPointCategory,etc)`(n)`SCONF`139391
dSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`139487
dSegmentBinding`1`x`(Type)->Join(Type,etc)`(S)`SEGBIND`139560
dSequence`1`x`(CommutativeRing)->SequenceCategory(R)`(R)`SEQU`139711
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`139820
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`140075
dSet`1`x`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`140735
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`141787
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat)``SEX`141901
dSExpressionOf`4`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt)`(Str,Sym,Int,Flt)`SEXOF`141969
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->Join(MonogenicAlgebra(R,UP),etc)`(R,UP,M)`SAE`142055
dSimpleCell`2`n`(TheField:RealClosedField,ThePols:UnivariatePolynomialCategory(TheField))->Join(CoercibleTo(OutputForm),etc)`(TheField,ThePols)`SCELL`142617
dSimpleFortranProgram`2`n`(R:OrderedSet,FS:FunctionSpace(R))->Join(FortranProgramCategory,etc)`(R,FS)`SFORT`142802
dSingleInteger`0`x`()->Join(IntegerNumberSystem,etc)``SINT`143046
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`143117
dSKICombinators`1`n`(VarCat)->Join(SetCategory,etc)`(UT)`SKICOMB`143219
dSmallOrdinal`0`n`()->Join(OrderedAbelianMonoid,etc)``SORD`143552
dSortedExponentVector`0`n`()->OneDimensionalArrayAggregate(Integer)``SOREXPV`143746
dSparseEchelonMatrix`2`n`(OrderedSet,D:Ring)->Join(CoercibleTo(OutputForm),etc)`(C,D)`SEM`143838
dSparseMultivariatePolynomial`2`n`(Join(SemiRng,etc),VarSet:OrderedSet)->PolynomialCategory(R,IndexedExponents(VarSet),VarSet)`(R,VarSet)`SMP`144247
dSparseMultivariatePolynomialExpressions`1`n`(Ring)->Join(PolynomialCategory(R,IndexedExponents(NonNegativeInteger),NonNegativeInteger),etc)`(R)`SMPEXPR`144579
dSparseMultivariateSkewPolynomial`4`n`(R:Ring,Var:OrderedSet,(Var)->Automorphism(R),(Var)->(R)->R)->Join(MultivariateSkewPolynomialCategory(R,IndexedExponents(Var),Var),etc)`(R,Var,sigma,delta)`SKSMP`144835
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`145122
dSparseTable`3`n`(SetCategory,Ent:BasicType,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`145414
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`145530
dSparseUnivariatePolynomial`1`n`(Join(SemiRng,etc))->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`145978
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`146350
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`146809
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`146971
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoid)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`147435
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`147886
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`148503
dSquareFreeRegularTriangularSet`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(SquareFreeRegularTriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`SREGSET`149471
dSquareMatrix`2`n`(NonNegativeInteger,R:Join(SemiRng,etc))->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`149744
dStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`STACK`149888
dSTransform`1`n`(SPointCategory)->etc`(PT)`STR`149932
dStream`1`x`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`150255
dStreamTaylorSeriesOperations`1`n`(Ring)->Join(StreamTaylorSeriesOperationsCategory(A,A),etc)`(A)`STTAYLOR`150433
dStreamTaylorSeriesOperations2`2`n`(R:Ring,M:LeftModule(R))->StreamTaylorSeriesOperationsCategory(R,M)`(R,M)`STTAYLO2`150626
dString`0`x`()->Join(StringCategory,etc)``STRING`150867
dStringTable`1`n`(Type)->Join(TableAggregate(String,Entry),etc)`(Entry)`STRTBL`150914
dSubsetLattice`2`n`(S:SetCategory,List(S))->Join(Lattice,etc)`(S,top)`SETLAT`151025
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`151204
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`151236
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`151302
dSwitch`0`n`()->Join(CoercibleTo(OutputForm),etc)``SWITCH`151349
dSymbol`0`x`()->Join(OrderedSet,etc)``SYMBOL`151461
dSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`151495
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`151565
dTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`TABLE`151615
dTableau`1`x`(SetCategory)->Join(CoercibleTo(OutputForm),etc)`(S)`TABLEAU`151839
dTaylorSeries`1`x`(Ring)->Join(MultivariateTaylorSeriesCategory(Coef,Symbol),etc)`(Coef)`TS`151966
dTaylorSeriesExpansionGeneralized`4`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,UPS:Join(UnivariatePowerSeriesCategory(Coef,Expon),etc),UTS:UnivariateTaylorSeriesCategory(Coef))->TaylorSeriesExpansion(Coef,Expon,SingletonAsOrderedSet,UPS,UTS)`(Coef,Expon,UPS,UTS)`TSEREXPG`152097
dTaylorSeriesExpansionLaurent`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->TaylorSeriesExpansion(Coef,Integer,SingletonAsOrderedSet,ULS,UTS)`(Coef,UTS,ULS)`TSEREXPL`152203
dTaylorSeriesExpansionPuiseux`4`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS),UPS:UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS))->TaylorSeriesExpansion(Coef,Fraction(Integer),SingletonAsOrderedSet,UPS,UTS)`(Coef,UTS,ULS,UPS)`TSEREXPP`152286
dTaylorSeriesExpansionTaylor`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->TaylorSeriesExpansion(Coef,NonNegativeInteger,SingletonAsOrderedSet,UTS,UTS)`(Coef,UTS)`TSEREXPT`152369
dTensorPower`4`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M:FreeModuleCategory(R,B))->Join(TensorPowerCategory(n,R,M),etc)`(n,R,B,M)`TENSPOW`152451
dTensorProduct`5`n`(R:CommutativeRing,B1:OrderedSet,B2:OrderedSet,M1:FreeModuleCategory(R,B1),M2:FreeModuleCategory(R,B2))->Join(TensorProductCategory(R,M1,M2),etc)`(R,B1,B2,M1,M2)`TENSOR`152587
dTexFormat`0`n`()->Join(SetCategory,etc)``TEX`152851
dTexmacsFormat`0`n`()->Join(SetCategory,etc)``TMFORM`153585
dTextFile`0`x`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`153682
dTeXTree`0`n`()->etc``TEXTREE`153820
dTheSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMS`153865
dThreeDimensionalMatrix`1`n`(SetCategory)->Join(HomogeneousAggregate(R),etc)`(R)`M3D`154009
dThreeDimensionalViewport`0`x`()->Join(SetCategory,etc)``VIEW3D`154092
dThreeSpace`1`x`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`154159
dTree`1`x`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`154335
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`154492
dTuple`1`n`(Type)->Join(CoercibleTo(PrimitiveArray(S)),etc)`(S)`TUPLE`154568
dTwoDimensionalArray`1`n`(Type)->TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R))`(R)`ARRAY2`154684
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`154802
dTyped`0`n`()->VarCat``TYPED`154868
dU16Matrix`0`n`()->MatrixCategory(Integer,U16Vector,U16Vector)``U16MAT`155029
dU16Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U16VEC`155224
dU32Matrix`0`n`()->MatrixCategory(Integer,U32Vector,U32Vector)``U32MAT`155417
dU32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U32VEC`155612
dU64Int`0`n`()->Join(Ring,etc)``U64INT`155805
dU8Matrix`0`n`()->MatrixCategory(Integer,U8Vector,U8Vector)``U8MAT`155918
dU8Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U8VEC`156112
dUndirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`UDGRPH`156304
dUnion`1`x`special`(A,B,...,C)`UNION`156353
dUnivariateFormalPowerSeries`1`n`(Ring)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef)`UFPS`156502
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`156581
dUnivariateLaurentSeriesConstructor`2`n`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->UnivariateLaurentSeriesConstructorCategory(Coef,UTS)`(Coef,UTS)`ULSCONS`157016
dUnivariatePolynomial`2`x`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`157339
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`157554
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`158099
dUnivariatePuiseuxSeriesWithExponentialSingularity`4`n`(R:Join(Comparable,etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(FiniteAbelianMonoidRing(UnivariatePuiseuxSeries(FE,var,cen),ExponentialOfUnivariatePuiseuxSeries(FE,var,cen)),etc)`(R,FE,var,cen)`UPXSSING`158426
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`158940
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`159115
dUniversalSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`159566
dUntyped`0`n`()->VarCat``UNTYPED`159681
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`159800
dVector`1`x`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`159839
dVectorIntegerReconstructor`0`n`()->etc``VECREC2`159966
dVectorModularReconstructor`0`n`()->etc``VECREC1`160292
dVectorSpaceBasis`1`n`(Field)->Join(BasicType,etc)`(R)`VSBASIS`160737
dVoid`0`x`()->etc``VOID`161017
dWeightedGraph`2`n`(SetCategory,W:OrderedAbelianMonoid)->Join(FiniteGraph(S),etc)`(S,W)`WGRPH`161237
dWeightedPolynomials`7`n`(R:Ring,VarSet:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(R,E,VarSet),List(VarSet),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,VarSet,E,P,vl,wl,wtlevel)`WP`161746
dWuWenTsunTriangularSet`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(TriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`WUTSET`162006
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(vl,R),etc)`(vl,R)`XDPOLY`162691
dXHashTable`2`n`(Hashable,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`XHASHTBL`162879
dXmlAttribute`0`n`()->etc``XMLAT`162989
dXmlElement`0`n`()->etc``XMLEL`163155
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`163408
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`163634
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(XAlgebra(R),etc)`(R,E)`XPR`163885
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`164180
o_|_`0`n`()->%`cBoundedJoinSemilattice``164376
o_|_`0`n`()->S`xLogic&(S)``0
o-`1`n`(%)->%`cAIntervalCategory(R)`has(R,OrderedAbelianGroup)`164414
o-`1`n`(%)->%`dOutputForm``164478
o-`1`n`(S)->S`xAbelianGroup&(S)``0
o-`1`n`(S)->S`xAIntervalCategory&(S,R)``0
o-`1`n`(S)->S`xComplexCategory&(S,R)``0
o-`1`n`(S)->S`xGradedModule&(S,R,E)``0
o-`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`1`n`(S)->S`xOctonionCategory&(S,R)``0
o-`1`n`(S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`1`n`(S)->S`xQuaternionCategory&(S,R)``0
o-`1`n`(S)->S`xVectorCategory&(S,R)``0
o-`1`n`(Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``164531
o-`1`x`(%)->%`cAbelianGroup``164638
o-`1`x`(%)->%`cGradedModule(R,E)``164691
o-`1`x`(%)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,AbelianGroup)`164800
o-`1`x`(%)->%`cVectorCategory(R)`has(R,AbelianGroup)`164861
o-`1`x`(%)->%`dOrderedCompletion(R)`has(R,AbelianGroup)`0
o-`2`n`(%,%)->%`cAIntervalCategory(R)`has(R,OrderedAbelianGroup)`164924
o-`2`n`(%,%)->%`cSPointCategory``164977
o-`2`n`(%,%)->%`dOutputForm``165442
o-`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``165496
o-`2`n`(F,%)->%`dFreeDivisionAlgebra(VAR,F)``165561
o-`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``165620
o-`2`n`(S,S)->S`xAbelianGroup&(S)``0
o-`2`n`(S,S)->S`xAIntervalCategory&(S,R)``0
o-`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o-`2`n`(S,S)->S`xGradedModule&(S,R,E)``0
o-`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o-`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o-`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o-`2`n`(Stream(M),Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``165870
o-`2`x`(%,%)->%`cAbelianGroup``166011
o-`2`x`(%,%)->%`cGradedModule(R,E)``166106
o-`2`x`(%,%)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,AbelianGroup)`166293
o-`2`x`(%,%)->%`cVectorCategory(R)`has(R,AbelianGroup)`166412
o-`2`x`(%,%)->%`dDatabase(S)``166567
o-`2`x`(%,%)->Union(%,"failed")`dCardinalNumber``166727
o-`2`x`(%,S)->%`cSegmentCategory(S)`has(S,AbelianGroup)`166836
o-`2`x`(%,S)->%`dEquation(S)`has(S,AbelianGroup)`166900
o-`2`x`(S,%)->%`dEquation(S)`has(S,AbelianGroup)`167000
o*`2`n`(%,%)->%`cAIntervalCategory(R)`AND(has(R,OrderedSemiGroup),has(R,SemiRng))`167100
o*`2`n`(%,%)->%`dFreeMagma(VarSet)``167282
o*`2`n`(%,%)->%`dIncidenceAlgebra(R,S)``167331
o*`2`n`(%,%)->%`dInputForm``167447
o*`2`n`(%,%)->%`dOutputForm``167520
o*`2`n`(%,%)->%`dPattern(R)``167574
o*`2`n`(%,%)->%`dVectorSpaceBasis(R)``167627
o*`2`n`(%,%)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``167701
o*`2`n`(%,%)->FunctionGraph(Product(S,S))`dFunctionGraph(S)``168128
o*`2`n`(%,%)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``168607
o*`2`n`(%,%)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``169001
o*`2`n`(%,%)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``169395
o*`2`n`(%,Coef)->%`dInnerTaylorSeries(Coef)``169789
o*`2`n`(%,Integer)->%`dInnerTaylorSeries(Coef)``169863
o*`2`n`(%,Matrix(F))->%`dFreeDivisionAlgebra(VAR,F)``169945
o*`2`n`(%,Matrix(R))->%`dLinearMultivariateMatrixPencil(R)``169986
o*`2`n`(%,R)->%`dIncidenceAlgebra(R,S)``170031
o*`2`n`(%,R)->%`dXPolynomialRing(R,E)``170124
o*`2`n`(%,S)->%`dFreeGroup(S)``170186
o*`2`n`(%,S)->%`dFreeMonoid(S)``170263
o*`2`n`(Coef,%)->%`dInnerTaylorSeries(Coef)``170340
o*`2`n`(Coef,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(D,%)->%`dJetLazyFunction(JB,D)``170414
o*`2`n`(DoubleFloat,%)->%`cSPointCategory``170555
o*`2`n`(DoubleFloat,Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``170877
o*`2`n`(Fraction(Integer),S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Fraction(Integer),S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xDivisionRing&(S)``0
o*`2`n`(Fraction(Integer),S)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(Fraction(Integer),S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Fraction(Integer),S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(Integer,%)->%`cAIntervalCategory(R)`has(R,OrderedAbelianGroup)`171057
o*`2`n`(Integer,S)->S`xAbelianGroup&(S)``0
o*`2`n`(Integer,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Integer,S)->S`xAIntervalCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xDivisionRing&(S)``0
o*`2`n`(Integer,S)->S`xFullyLinearlyExplicitOver&(S,R)``0
o*`2`n`(Integer,S)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(Integer,S)->S`xModule&(S,R)``0
o*`2`n`(Integer,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Integer,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(M,Stream(R))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)`has(M,RightModule(R))`0
o*`2`n`(Matrix(D),%)->%`dSparseEchelonMatrix(C,D)``171142
o*`2`n`(Matrix(F),%)->%`dFreeDivisionAlgebra(VAR,F)``171211
o*`2`n`(Matrix(Fraction(D)),%)->%`dSparseEchelonMatrix(C,D)`has(D,IntegralDomain)`171249
o*`2`n`(Matrix(R),%)->%`dLinearMultivariateMatrixPencil(R)``171354
o*`2`n`(NonNegativeInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(NonNegativeInteger,S)->S`xAIntervalCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xFullyLinearlyExplicitOver&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(NonNegativeInteger,S)->S`xModule&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(NonNegativeInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(P,%)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``171396
o*`2`n`(Permutation(Integer),%)->%`dIncidenceAlgebra(R,S)``171427
o*`2`n`(PositiveInteger,%)->%`cAIntervalCategory(R)``171525
o*`2`n`(PositiveInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianSemiGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAIntervalCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(PositiveInteger,S)->S`xFullyLinearlyExplicitOver&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(PositiveInteger,S)->S`xModule&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(PositiveInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,%)->%`cAIntervalCategory(R)`AND(has(R,OrderedSemiGroup),has(R,SemiRng))`171594
o*`2`n`(R,%)->%`dIncidenceAlgebra(R,S)``171683
o*`2`n`(R,S)->%`dFreeModule(R,S)``171776
o*`2`n`(R,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(R,S)->S`xAIntervalCategory&(S,R)``0
o*`2`n`(R,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(R,S)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(R,S)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(R,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(R,S)->S`xModule&(S,R)``0
o*`2`n`(R,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(R,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(R,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(R,Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``171838
o*`2`n`(Row,S)->Row`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,%)->%`dFreeGroup(S)``171978
o*`2`n`(S,%)->%`dFreeMonoid(S)``172054
o*`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,Col)->Col`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,Fraction(Integer))->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xDivisionRing&(S)``0
o*`2`n`(S,Fraction(Integer))->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(S,Fraction(Integer))->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,Integer)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,Integer)->S`xFullyLinearlyExplicitOver&(S,R)``0
o*`2`n`(S,Integer)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(S,Integer)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,Integer)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,R)->%`dFreeModule(R,S)``172130
o*`2`n`(S,R)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,R)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,R)->S`xFullyLinearlyExplicitOver&(S,R)``0
o*`2`n`(S,R)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(S,R)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(S,R)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,R)->S`xModule&(S,R)``0
o*`2`n`(S,R)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,R)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,R)->S`xVectorCategory&(S,R)``0
o*`2`n`(S,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,S)->S`xAIntervalCategory&(S,R)``0
o*`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,S)->S`xDivisionRing&(S)``0
o*`2`n`(S,S)->S`xFunctionSpace2&(S,R,K)``0
o*`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(SMP,%)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``172218
o*`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``172300
o*`2`n`(Stream(M),R)->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)`has(M,RightModule(R))`172507
o*`2`n`(Stream(R),Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``172647
o*`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``172837
o*`2`x`((B)->C,(A)->B)->(A)->C`pMappingPackage3(A,B,C)``172901
o*`2`x`(%,%)->%`cMagma``172987
o*`2`x`(%,%)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,SemiRng)`173078
o*`2`x`(%,%)->%`dCartesianTensor(minix,dim,R)``173194
o*`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``173580
o*`2`x`(%,Col)->Col`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`173654
o*`2`x`(%,Col)->Col`cSquareMatrixCategory(ndim,R,Row,Col)``173786
o*`2`x`(%,Point(R))->Point(R)`dDenavitHartenbergMatrix(R)``173918
o*`2`x`(%,R)->%`cDirectProductCategory(dim,R)`has(R,SemiGroup)`173983
o*`2`x`(%,R)->%`cGradedModule(R,E)``174076
o*`2`x`(%,R)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,SemiRng)`174125
o*`2`x`(%,R)->%`cRightModule(R)``174221
o*`2`x`(%,R)->%`cVectorCategory(R)`has(R,SemiGroup)`174332
o*`2`x`(%,R)->%`cXFreeAlgebra(vl,R)``174425
o*`2`x`(%,S)->%`dEquation(S)`has(S,SemiGroup)`174535
o*`2`x`(DoubleFloat,%)->%`dColor``174633
o*`2`x`(Integer,%)->%`cAbelianGroup``174731
o*`2`x`(Integer,%)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,AbelianGroup)`174800
o*`2`x`(Integer,%)->%`cVectorCategory(R)`has(R,AbelianGroup)`174843
o*`2`x`(NonNegativeInteger,%)->%`cAbelianMonoid``174936
o*`2`x`(PositiveInteger,%)->%`cAbelianSemiGroup``175004
o*`2`x`(PositiveInteger,%)->%`dColor``175164
o*`2`x`(R,%)->%`cDirectProductCategory(dim,R)`has(R,SemiGroup)`175262
o*`2`x`(R,%)->%`cGradedModule(R,E)``175358
o*`2`x`(R,%)->%`cLeftModule(R)``175406
o*`2`x`(R,%)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,SemiRng)`175516
o*`2`x`(R,%)->%`cVectorCategory(R)`has(R,SemiGroup)`175609
o*`2`x`(Row,%)->Row`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`175705
o*`2`x`(Row,%)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``175834
o*`2`x`(S,%)->%`dEquation(S)`has(S,SemiGroup)`175963
o*`2`x`(vl,%)->%`cXFreeAlgebra(vl,R)``176061
o/\`2`n`(%,%)->%`cMeetSemilattice``176136
o/\`2`n`(S,S)->S`xBitAggregate&(S)``0
o/\`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``176195
o/\`2`x`(%,%)->%`dSingleInteger``176303
o/`2`n`(%,%)->%`cAIntervalCategory(R)`AND(has(R,Field),has(R,OrderedRing))`176424
o/`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``176603
o/`2`n`(%,%)->%`dInputForm``176684
o/`2`n`(%,%)->%`dOutputForm``176757
o/`2`n`(%,%)->%`dPattern(R)``176811
o/`2`n`(%,%)->Union(%,"failed")`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)`has(R,Field)`0
o/`2`n`(%,%)->Union(%,"failed")`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)`has(R,Field)`176864
o/`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``176968
o/`2`n`(%,R)->%`dLocalAlgebra(A,R)``177036
o/`2`n`(%,R)->%`dLocalize(M,R)``177097
o/`2`n`(%,R)->%`dXPolynomialRing(R,E)`has(R,Field)`177158
o/`2`n`(A,R)->%`dLocalAlgebra(A,R)``177199
o/`2`n`(F,%)->%`dFreeDivisionAlgebra(VAR,F)``177260
o/`2`n`(M,R)->%`dLocalize(M,R)``177331
o/`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o/`2`n`(S,R)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
o/`2`n`(S,R)->S`xLieAlgebra&(S,R)``0
o/`2`n`(S,R)->S`xMatrixCategory&(S,R,Row,Col)``0
o/`2`n`(S,S)->S`xAIntervalCategory&(S,R)``0
o/`2`n`(S,S)->S`xField&(S)``0
o/`2`n`(S,S)->S`xGroup&(S)``0
o/`2`n`(Stream(A),Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)``177392
o/`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``177581
o/`2`x`(%,%)->%`cField``177641
o/`2`x`(%,%)->%`cGroup``177737
o/`2`x`(%,%)->%`dEquation(S)`has(S,Field)`177809
o/`2`x`(%,F)->%`cExtensionField(F)``177932
o/`2`x`(%,Integer)->%`cFloatingPointSystem``177990
o/`2`x`(%,R)->%`cAbelianMonoidRing(R,E)`has(R,Field)`178069
o/`2`x`(%,R)->%`cLieAlgebra(R)`has(R,Field)`178132
o/`2`x`(%,R)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,Field)`178195
o/`2`x`(S,S)->%`cQuotientFieldCategory(S)``178282
o/`2`x`(SparseMultivariatePolynomial(R,K),SparseMultivariatePolynomial(R,K))->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`178356
o\/`2`n`(%,%)->%`cJoinSemilattice``178444
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``178502
o\/`2`x`(%,%)->%`dSingleInteger``178614
o#`1`n`(%)->NonNegativeInteger`dTuple(S)``178734
o#`1`n`(%)->NonNegativeInteger`dXPolynomialRing(R,E)``178802
o#`1`n`(A)->NonNegativeInteger`xBinaryRecursiveAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xBinaryTreeCategory&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
o#`1`n`(S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o#`1`x`(%)->Integer`cSExpressionCategory(Str,Sym,Int,Flt)``178861
o#`1`x`(%)->NonNegativeInteger`cAggregate`has(%,finiteAggregate)`178910
o^`2`n`(%,%)->%`dOutputForm``178973
o^`2`n`(%,%)->%`dPattern(R)``179027
o^`2`n`(%,%)->%`dSmallOrdinal``179080
o^`2`n`(%,Integer)->%`dFreeDivisionAlgebra(VAR,F)``179226
o^`2`n`(%,Integer)->%`dInputForm``179263
o^`2`n`(%,Integer)->%`dOperator(R)``0
o^`2`n`(%,NonNegativeInteger)->%`cAIntervalCategory(R)`AND(has(R,OrderedMonoid),has(R,SemiRing))`179336
o^`2`n`(%,NonNegativeInteger)->%`dIncidenceAlgebra(R,S)``179567
o^`2`n`(%,NonNegativeInteger)->%`dInputForm``179685
o^`2`n`(%,NonNegativeInteger)->%`dPattern(R)``179758
o^`2`n`(%,PositiveInteger)->%`cAIntervalCategory(R)`AND(has(R,OrderedSemiGroup),has(R,SemiRng))`179811
o^`2`n`(%,PositiveInteger)->%`cDistributionCategory(R)``179954
o^`2`n`(%,PositiveInteger)->%`dFreeDivisionAlgebra(VAR,F)``180110
o^`2`n`(F,F)->F`pCombinatorialFunction(R,F)``180147
o^`2`n`(F,Fraction(Integer))->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`180202
o^`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``180272
o^`2`n`(S,Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o^`2`n`(S,Fraction(Integer))->S`xRealClosedField&(S)``0
o^`2`n`(S,Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,Integer)->%`dFreeGroup(S)``180388
o^`2`n`(S,Integer)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,Integer)->S`xDivisionRing&(S)``0
o^`2`n`(S,Integer)->S`xGroup&(S)``0
o^`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
o^`2`n`(S,Integer)->S`xRealClosedField&(S)``0
o^`2`n`(S,Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,NonNegativeInteger)->%`dFreeMonoid(S)``180465
o^`2`n`(S,NonNegativeInteger)->S`xAIntervalCategory&(S,R)``0
o^`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,NonNegativeInteger)->S`xDivisionRing&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xGroup&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xMagmaWithUnit&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
o^`2`n`(S,NonNegativeInteger)->S`xRealClosedField&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,NonNegativeInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,PositiveInteger)->S`xAIntervalCategory&(S,R)``0
o^`2`n`(S,PositiveInteger)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,PositiveInteger)->S`xDivisionRing&(S)``0
o^`2`n`(S,PositiveInteger)->S`xGroup&(S)``0
o^`2`n`(S,PositiveInteger)->S`xMagma&(S)``0
o^`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
o^`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
o^`2`n`(S,PositiveInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,PositiveInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,S)->S`xElementaryFunctionCategory&(S)``0
o^`2`n`(S,S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``180542
o^`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``180649
o^`2`n`(ULS,Fraction(Integer))->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)`has(Coef,Field)`180756
o^`2`n`(UPXS,Fraction(Integer))->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)`has(Coef,Field)`180837
o^`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``180919
o^`2`x`((A)->A,NonNegativeInteger)->(A)->A`pMappingPackage1(A)``180986
o^`2`x`(%,%)->%`cElementaryFunctionCategory``181085
o^`2`x`(%,%)->%`dCardinalNumber``181142
o^`2`x`(%,Coef)->%`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Field)`181250
o^`2`x`(%,Fraction(Integer))->%`cRadicalCategory``181468
o^`2`x`(%,Integer)->%`cDivisionRing``181553
o^`2`x`(%,Integer)->%`cGroup``181625
o^`2`x`(%,Integer)->%`cMatrixCategory(R,Row,Col)`has(R,Field)`181697
o^`2`x`(%,Integer)->%`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`181843
o^`2`x`(%,Integer)->%`dModuleOperator(R,M)``181951
o^`2`x`(%,NonNegativeInteger)->%`cMagmaWithUnit``181983
o^`2`x`(%,NonNegativeInteger)->%`cMatrixCategory(R,Row,Col)`AND(has(R,Monoid),has(R,SemiRng))`182080
o^`2`x`(%,NonNegativeInteger)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``182198
o^`2`x`(%,PositiveInteger)->%`cMagma``182268
o+`2`n`(%,%)->%`cAIntervalCategory(R)``182365
o+`2`n`(%,%)->%`cFiniteGraph(S)``182602
o+`2`n`(%,%)->%`cSPointCategory``182725
o+`2`n`(%,%)->%`dIncidenceAlgebra(R,S)``183287
o+`2`n`(%,%)->%`dInputForm``183399
o+`2`n`(%,%)->%`dOutputForm``183472
o+`2`n`(%,%)->%`dPattern(R)``183526
o+`2`n`(%,%)->%`dVectorSpaceBasis(R)``183579
o+`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``183644
o+`2`n`(%,R)->%`cAIntervalCategory(R)``183702
o+`2`n`(F,%)->%`dFreeDivisionAlgebra(VAR,F)``183771
o+`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``183829
o+`2`n`(S,R)->S`xAIntervalCategory&(S,R)``0
o+`2`n`(S,S)->S`xAIntervalCategory&(S,R)``0
o+`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o+`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o+`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o+`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o+`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o+`2`n`(Stream(M),Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``184076
o+`2`x`(%,%)->%`cAbelianSemiGroup``184210
o+`2`x`(%,%)->%`cGradedModule(R,E)``184270
o+`2`x`(%,%)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,AbelianMonoid)`184450
o+`2`x`(%,%)->%`cVectorCategory(R)`has(R,AbelianSemiGroup)`184562
o+`2`x`(%,%)->%`dColor``184710
o+`2`x`(%,%)->%`dDatabase(S)``184788
o+`2`x`(%,%)->%`dOrderedCompletion(R)`has(R,AbelianMonoid)`0
o+`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``184866
o+`2`x`(%,S)->%`cSegmentCategory(S)`has(S,AbelianSemiGroup)`184951
o+`2`x`(%,S)->%`dEquation(S)`has(S,AbelianSemiGroup)`185015
o+`2`x`(S,%)->%`cSegmentCategory(S)`has(S,AbelianSemiGroup)`185108
o+`2`x`(S,%)->%`dEquation(S)`has(S,AbelianSemiGroup)`185165
o+`2`x`(UP,%)->%`dFullPartialFractionExpansion(F,UP)``185258
o<`2`n`(%,%)->%`dOutputForm``185318
o<`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o<`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xListAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
o<`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o<`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o<`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o<`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o<`2`x`(%,%)->Boolean`cPartialOrder``185372
o<`2`x`(%,%)->Boolean`cPermutationCategory(S)``185412
o<`2`x`(%,%)->Boolean`dPermutationGroup(S)``185566
o<=`2`n`(%,%)->%`dOutputForm``185669
o<=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o<=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o<=`2`x`(%,%)->Boolean`cPartialOrder``185724
o<=`2`x`(%,%)->Boolean`dPermutationGroup(S)``185774
o=`2`n`(%,%)->%`dOutputForm``185984
o=`2`n`(%,%)->Boolean`cAIntervalCategory(R)``186038
o=`2`n`(%,%)->Boolean`cVarCat``186140
o=`2`n`(%,%)->Boolean`dFortranScalarType``186251
o=`2`n`(%,%)->Boolean`dILogic``186287
o=`2`n`(%,%)->Boolean`dLambda(UT)``186434
o=`2`n`(%,%)->Boolean`dLatticeJoinOfMeets``186723
o=`2`n`(%,%)->Boolean`dLatticeMeetOfJoins``186869
o=`2`n`(%,%)->Boolean`dLinearMultivariateMatrixPencil(R)``187015
o=`2`n`(%,%)->Boolean`dReference(S)``187054
o=`2`n`(%,%)->Boolean`dSKICombinators(UT)``187134
o=`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xDictionary&(A,S)``0
o=`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xHomogeneousAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xPoset&(A,S)``0
o=`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
o=`2`n`(S,S)->Boolean`xAIntervalCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o=`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
o=`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
o=`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
o=`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o=`2`x`(%,%)->Boolean`cBasicType``187399
o=`2`x`(S,S)->%`dEquation(S)``187460
o>`2`n`(%,%)->%`dOutputForm``187498
o>`2`n`(%,%)->Boolean`cJetBundleCategory``187552
o>`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o>`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>`2`x`(%,%)->Boolean`cPartialOrder``187654
o>=`2`n`(%,%)->%`dOutputForm``187697
o>=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>=`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>=`2`x`(%,%)->Boolean`cPartialOrder``187752
o~`1`n`(%)->%`dDirectedGraph(S)``187805
o~`1`n`(%)->%`dILogic``188111
o~`1`n`(%)->%`dMultifunctionGraph(S)``188380
o~`1`n`(S)->S`xBitAggregate&(S)``0
o~`1`x`(%)->%`cLogic``188686
o~`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``188748
o~`1`x`(%)->%`dSingleInteger``188796
o~=`2`n`(%,%)->%`dOutputForm``188886
o~=`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
o~=`2`n`(A,A)->Boolean`xPoset&(A,S)``0
o~=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o~=`2`x`(%,%)->Boolean`cBasicType``188941
o0`0`n`()->%`cAIntervalCategory(R)`has(R,OrderedAbelianMonoid)`0
o0`0`n`()->%`cDistributionCategory(R)``0
o0`0`n`()->%`dInputForm``0
o0`0`n`()->%`dPattern(R)``0
o0`0`n`()->%`dVectorSpaceBasis(R)``0
o0`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o0`0`x`()->%`cAbelianMonoid``0
o0`0`x`()->%`cGradedModule(R,E)``0
o1`0`n`()->%`cJetBundleCategory``0
o1`0`n`()->%`dInputForm``0
o1`0`n`()->%`dPattern(R)``0
o1`0`n`()->%`dPoincareBirkhoffWittLyndonBasis(VarSet)``0
o1`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o1`0`x`()->%`cGradedAlgebra(R,E)``0
o1`0`x`()->%`cMagmaWithUnit``0
oabelianGroup`1`x`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``189005
oabs`1`n`(%)->%`cAIntervalCategory(R)`has(R,OrderedAbelianGroup)`189147
oabs`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``189307
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``189373
oabs`1`n`(S)->R`xOctonionCategory&(S,R)``0
oabs`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oabs`1`n`(S)->S`xAIntervalCategory&(S,R)``0
oabs`1`n`(S)->S`xComplexCategory&(S,R)``0
oabs`1`n`(S)->S`xOrderedAbelianGroup&(S)``0
oabs`1`x`(%)->%`cComplexCategory(R)`has(R,RealNumberSystem)`189450
oabs`1`x`(%)->%`cOrderedAbelianGroup``189533
oabs`1`x`(%)->%`cSpecialFunctionCategory``189593
oabs`1`x`(%)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`189653
oabs`1`x`(%)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`189779
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``189866
oabsolutelyIrreducible?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``189950
oacos`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``190034
oacos`1`n`(F)->F`pElementaryFunction(R,F)``190102
oacos`1`n`(S)->S`xComplexCategory&(S,R)``0
oacos`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``190171
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``190241
oacos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``190311
oacos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``190383
oacos`1`x`(%)->%`cArcTrigonometricFunctionCategory``190457
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``190812
oacosh`1`n`(S)->S`xComplexCategory&(S,R)``0
oacosh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``190893
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``190984
oacosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``191075
oacosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``191163
oacosh`1`x`(%)->%`cArcHyperbolicFunctionCategory``191253
oacoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``191322
oacosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``191410
oacot`1`n`(F)->F`pElementaryFunction(R,F)``191496
oacot`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``191568
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``191641
oacot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``191714
oacot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``191789
oacot`1`x`(%)->%`cArcTrigonometricFunctionCategory``191866
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``191926
oacoth`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``192010
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``192104
oacoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``192198
oacoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``192289
oacoth`1`x`(%)->%`cArcHyperbolicFunctionCategory``192382
oacothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``192454
oacotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``192542
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``192628
oacsc`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oacsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``192699
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``192771
oacsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``192843
oacsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``192917
oacsc`1`x`(%)->%`cArcTrigonometricFunctionCategory``192993
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``193052
oacsch`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``193135
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``193228
oacsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``193321
oacsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``193411
oacsch`1`x`(%)->%`cArcHyperbolicFunctionCategory``193503
oacschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``193574
oacscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``193662
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``193748
oadaptive?`0`n`()->Boolean`dPlot``193794
oadaptive`0`x`()->Boolean`pGraphicsDefaults``193866
oadaptive`1`x`(Boolean)->%`dDrawOption``193943
oadaptive`1`x`(Boolean)->Boolean`pGraphicsDefaults``194121
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``194229
oadaptive3D?`0`n`()->Boolean`dPlot3D``194431
oadd_poly`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``194506
oadd_slots`2`n`(List(Integer),%)->Void`dVectorModularReconstructor``194589
oaddALS`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``194684
oaddArrow!`2`n`(%,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->%`cFiniteGraph(S)``194821
oaddArrow!`2`n`(A,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->A`xFiniteGraph&(A,S)``0
oaddArrow!`2`n`(A,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->A`xPoset&(A,S)``0
oaddArrow!`4`n`(%,String,NonNegativeInteger,NonNegativeInteger)->%`cFiniteGraph(S)``194890
oaddArrow!`4`n`(%,String,S,S)->%`cFiniteGraph(S)``195091
oaddArrow!`4`n`(A,String,NonNegativeInteger,NonNegativeInteger)->A`xFiniteGraph&(A,S)``0
oaddArrow!`4`n`(A,String,NonNegativeInteger,NonNegativeInteger)->A`xPoset&(A,S)``0
oaddArrow!`4`n`(A,String,S,S)->A`xFiniteGraph&(A,S)``0
oaddArrow!`4`n`(A,String,S,S)->A`xPoset&(A,S)``0
oaddArrow!`5`n`(%,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->%`cFiniteGraph(S)``195266
oaddArrow!`5`n`(A,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->A`xFiniteGraph&(A,S)``0
oaddArrow!`5`n`(A,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->A`xPoset&(A,S)``0
oaddArrow`3`n`(%,S,S)->%`cPoset(S)``195516
oaddArrow`3`n`(A,S,S)->A`xPoset&(A,S)``0
oaddArrows2Din2D`5`n`(%,(PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``195641
oaddBadValue`2`n`(%,Any)->%`dPattern(R)``195775
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``195926
oaddChild!`2`n`(%,%)->Void`dScene(PT)``196071
oaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``196163
oaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``196386
oaddColumnsRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``196522
oaddCube`2`n`(%,CubicalFacet)->%`dFiniteCubicalComplex(VS)``196692
oaddiag`1`n`(Stream(Stream(M)))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``196811
oaddImpliedFaces`1`n`(%)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``197057
oaddImpliedFaces`1`n`(%)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``197339
oadditive?`2`n`(%,PositiveInteger)->Boolean`dDirichletRing(Coef)``197624
oaddMatch`3`n`(Pattern(R),S,%)->%`dPatternMatchResult(R,S)``197726
oaddMatchRestricted`4`n`(Pattern(R),S,%,S)->%`dPatternMatchResult(R,S)``197957
oaddMIN`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``198321
oaddmod`3`x`(%,%,%)->%`cIntegerNumberSystem``198396
oaddNode!`3`n`(%,String,Scene(PT))->%`dSceneNamedPoints(PT)``198470
oaddObject!`2`n`(%,Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))->%`cFiniteGraph(S)``198526
oaddObject!`2`n`(%,S)->%`cFiniteGraph(S)``198617
oaddObject!`2`n`(A,Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))->A`xPoset&(A,S)``0
oaddObject!`2`n`(A,S)->A`xPoset&(A,S)``0
oaddObject`2`n`(%,S)->%`cPoset(S)``198824
oaddObject`2`n`(A,S)->A`xPoset&(A,S)``0
oaddPlot1Din2D`4`n`(%,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``198923
oaddPlot1Din2D`4`n`(%,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199045
oaddPlot1Din2Dparametric`4`n`(%,ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199167
oaddPlot1Din3Dparametric`4`n`(%,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199311
oaddPlot1Din3Dparametric`4`n`(%,ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199457
oaddPlot2Din3D`5`n`(%,(DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199601
oaddPlot2Din3Dparametric`5`n`(%,(DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199727
oaddPlot2Din3Dparametric`5`n`(%,ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``199873
oaddPoint`2`n`(%,Point(R))->NonNegativeInteger`dSubSpace(n,R)``200019
oaddPoint`3`n`(%,List(NonNegativeInteger),NonNegativeInteger)->%`dSubSpace(n,R)``200170
oaddPoint`3`n`(%,List(NonNegativeInteger),Point(R))->%`dSubSpace(n,R)``200928
oaddPoint2`2`n`(%,Point(R))->%`dSubSpace(n,R)``201654
oaddPointLast`4`n`(%,%,Point(R),NonNegativeInteger)->%`dSubSpace(n,R)``201825
oaddPoints!`3`n`(%,String,%)->%`dSceneNamedPoints(PT)``202116
oaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``202176
oaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``202280
oaddRowsColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``202407
oaddSceneArrow`6`n`(%,String,String,PT,Symbol,DoubleFloat)->%`dScene(PT)``202577
oaddSceneArrow`7`n`(%,%,%,PT,Symbol,DoubleFloat,DoubleFloat)->%`dScene(PT)``202708
oaddSceneArrows`4`n`(%,List(List(PT)),Symbol,DoubleFloat)->%`dScene(PT)``202850
oaddSceneBox`2`n`(%,DoubleFloat)->%`dScene(PT)``202973
oaddSceneClip`2`n`(%,SBoundary(PT))->%`dScene(PT)``203078
oaddSceneDef`3`n`(%,String,%)->%`dScene(PT)``203183
oaddSceneGraph`5`n`(%,DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->%`dScene(PT)``203292
oaddSceneGrid`2`n`(%,SBoundary(PT))->%`dScene(PT)``203419
oaddSceneGrid`3`n`(%,DoubleFloat,SBoundary(PT))->%`dScene(PT)``203524
oaddSceneGroup`1`n`(%)->%`dScene(PT)``203639
oaddSceneIFS`2`n`(%,SceneIFS(PT))->%`dScene(PT)``203742
oaddSceneIFS`3`n`(%,List(List(NonNegativeInteger)),List(PT))->%`dScene(PT)``203846
oaddSceneLine`2`n`(%,List(PT))->%`dScene(PT)``203955
oaddSceneLine`4`n`(%,%,%,DoubleFloat)->%`dScene(PT)``204062
oaddSceneLine`5`n`(%,%,%,DoubleFloat,Boolean)->%`dScene(PT)``204182
oaddSceneLines`2`n`(%,List(List(PT)))->%`dScene(PT)``204302
oaddSceneMaterial`2`n`(%,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->%`dScene(PT)``204411
oaddSceneMaterial`4`n`(%,DoubleFloat,String,String)->%`dScene(PT)``204525
oaddSceneNamedPoints`2`n`(%,SceneNamedPoints(PT))->%`dScene(PT)``204656
oaddScenePattern`4`n`(%,Symbol,NonNegativeInteger,SBoundary(PT))->%`dScene(PT)``204776
oaddSceneRuler`4`n`(%,Symbol,PT,SBoundary(PT))->%`dScene(PT)``204901
oaddSceneShape`2`n`(%,Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->%`dScene(PT)``205024
oaddSceneShape`2`n`(%,SBoundary(PT))->%`dScene(PT)``205135
oaddSceneText`2`n`(%,Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->%`dScene(PT)``205246
oaddSceneText`4`n`(%,List(String),NonNegativeInteger,PT)->%`dScene(PT)``205354
oaddSceneText`4`n`(%,String,NonNegativeInteger,PT)->%`dScene(PT)``205469
oaddSceneTransform`2`n`(%,STransform(PT))->%`dScene(PT)``205584
oaddSceneUse`2`n`(%,String)->%`dScene(PT)``205702
oaddSimplex`2`n`(%,OrientedFacet)->%`dFiniteSimplicialComplex(VS)``205807
oaddVertex`2`n`(%,NonNegativeInteger)->%`dOrientedFacet``205953
oaddVertex2`2`n`(%,Record(left:NonNegativeInteger,right:NonNegativeInteger))->%`dProductFacet``205997
oaddWarning`1`n`(OutputForm)->Void`pUnittestCount``206041
oaddWArrow!`5`n`(%,String,NonNegativeInteger,NonNegativeInteger,W)->%`dWeightedGraph(S,W)``206215
oadjacencyMatrix`1`n`(%)->Matrix(NonNegativeInteger)`cFiniteGraph(S)``206463
oadjacencyMatrix`1`n`(A)->Matrix(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oadjoint`1`n`(%)->%`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`1`n`(%)->%`dPartialDifferentialOperator(R,Var)``206844
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`x`(%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)``206911
oadjoint`1`x`(%)->%`dModuleOperator(R,M)`has(R,CommutativeRing)`206971
oadjoint`1`x`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`207044
oadjoint`2`n`(%,%)->%`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`x`(%,%)->%`dModuleOperator(R,M)`has(R,CommutativeRing)`207229
oadmissibleLinearSystem`1`n`(%)->OutputForm`dFreeDivisionAlgebra(VAR,F)``207346
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``207401
oairyAi`1`x`(%)->%`cSpecialFunctionCategory``207482
oairyAi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyAi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``207548
oairyAiPrime`1`x`(%)->%`cSpecialFunctionCategory``207648
oairyAiPrime`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyAiPrime`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``207737
oairyBi`1`x`(%)->%`cSpecialFunctionCategory``207818
oairyBi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyBi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oairyBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``207884
oairyBiPrime`1`x`(%)->%`cSpecialFunctionCategory``207984
oairyBiPrime`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oairyBiPrime`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oAleph`1`x`(NonNegativeInteger)->%`dCardinalNumber``208073
oalg_exquo`5`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->Union(SparseMultivariatePolynomial(Integer,Symbol),"failed")`pPrimGCD``208143
oalg_reduce`4`n`(SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``208531
oalg_reduce0`4`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),Symbol)->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``208618
oalg_split_root0`3`n`(F,Kernel(F),Integer)->List(F)`pRootFSSplit(R,F)``208689
oalg_split_roots`3`n`(List(F),Kernel(F),Kernel(F))->List(Record(funs:List(F),nroot:F,npow1:Integer,npow2:Integer))`pRootFSSplit(R,F)``208865
oalg_trial_division`5`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->Boolean`pPrimGCD``209046
oalgDepHP`2`n`(List(List(AlgebraicNumber)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
oalgDepHP`2`x`(List(List(F)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
oalgDepHP`2`x`(List(List(F)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``209322
oalgDepHP`2`x`(List(List(Fraction(Integer))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
oalgDepHP`2`x`(List(List(Fraction(Polynomial(Integer)))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
oalgDepHP`2`x`(List(List(Fraction(Polynomial(R)))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),List(R))->Record(particular:List(Record(ratpart:R,coeffs:Vector(F))),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``209450
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``209540
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`x`(%)->Boolean`cExtensionField(F)``209852
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`x`(V,%)->Boolean`cTriangularSetCategory(R,E,V,P)``209970
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``210089
oalgebraicDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicDecompose`3`x`(P,TS,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicGcd`6`n`(Polynomial(Integer),Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Symbol,List(Symbol))->Polynomial(Integer)`pModularAlgebraicGcd(MPT,MD,MO)``0
oalgebraicGcd`6`n`(PT,PT,List(PT),List(Symbol),Symbol,List(Symbol))->Polynomial(Integer)`pModularAlgebraicGcd2(PT,MP,MPT,MD,ME,MO)``210262
oalgebraicOf`2`x`(RightOpenIntervalRootCharacterization(%,SparseUnivariatePolynomial(%)),OutputForm)->%`dRealClosure(TheField)``210501
oalgebraicSort`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``210556
oalgebraicSort`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``210677
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`x`(%)->List(V)`cTriangularSetCategory(R,E,V,P)``210798
oalgextint_base`3`n`((UP)->UP,(Matrix(F))->List(Vector(F)),List(R))->List(Record(ratpart:R,coeffs:Vector(F)))`pAlgebraicIntegrate2(R0,F,UP,UPUP,R)``210927
oalgextint_base`5`n`(Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(Matrix(F))->List(Vector(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pAlgebraicIntegration(R,F)``211192
oalgextint`5`n`((UP)->UP,(List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F))),(Fraction(UP),List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(R))->List(Record(ratpart:R,coeffs:Vector(F)))`pAlgebraicIntegrate2(R0,F,UP,UPUP,R)``211341
oalgextint`7`n`(Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Fraction(SparseUnivariatePolynomial(F)),List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pAlgebraicIntegration(R,F)``211637
oalgint`5`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(F)->IntegrationResult(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``211868
oalgintegrate`3`n`(R,(UP)->UP,(F)->IntegrationResult(F))->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``212045
oalgSplitSimple`2`n`(S,(UP)->UP)->Record(num:S,den:UP,derivden:UP,gd:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oalgSplitSimple`2`x`(%,(UP)->UP)->Record(num:%,den:UP,derivden:UP,gd:UP)`cFunctionFieldCategory(F,UP,UPUP)``212144
oalgtower`1`n`(List(S))->List(K)`xFunctionSpace2&(S,R,K)``0
oalgtower`1`n`(S)->List(K)`xFunctionSpace2&(S,R,K)``0
oalgtower`1`x`(%)->List(K)`cFunctionSpace2(R,K)`has(R,IntegralDomain)`212441
oalgtower`1`x`(List(%))->List(K)`cFunctionSpace2(R,K)`has(R,IntegralDomain)`212491
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``212725
oall_constructors`0`n`()->Record(categories:List(Symbol),domains:List(Symbol),packages:List(Symbol))`pBrowserInformation``212767
oallDegrees`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``212882
oallDegrees`1`x`(Boolean)->%`dGuessOption``213011
oallIndices`1`n`(%)->List(C)`dSparseEchelonMatrix(C,D)``213263
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`cJetBundleCategory``213368
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`xJetBundleCategory&(S)``213485
oallRootsOf`1`n`(Polynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`x`(Polynomial(%))->List(%)`cRealClosedField``213602
oallRootsOf`1`x`(Polynomial(Fraction(Integer)))->List(%)`cRealClosedField``213689
oallRootsOf`1`x`(Polynomial(Integer))->List(%)`cRealClosedField``213776
oallRootsOf`1`x`(SparseUnivariatePolynomial(%))->List(%)`cRealClosedField``213863
oallRootsOf`1`x`(SparseUnivariatePolynomial(Fraction(Integer)))->List(%)`cRealClosedField``213950
oallRootsOf`1`x`(SparseUnivariatePolynomial(Integer))->List(%)`cRealClosedField``214037
oallRootsOf`1`x`(ThePols)->List(%)`cRealRootCharacterizationCategory(TheField,ThePols)``214124
oallSimpleCells`2`n`(List(ThePols),Symbol)->List(%)`dSimpleCell(TheField,ThePols)``214229
oallSimpleCells`2`n`(ThePols,Symbol)->List(%)`dSimpleCell(TheField,ThePols)``214387
oallSubsets`2`n`(%,NonNegativeInteger)->List(%)`dCubicalFacet``214466
oallSubsets`2`n`(%,NonNegativeInteger)->List(%)`dOrientedFacet``214568
oallSubsets`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(%)`dCubicalFacet``214670
oallSubsets`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(%)`dOrientedFacet``214773
oAlpha`0`n`()->Symbol`pMathematicalSymbols``214876
oalpha`0`n`()->Symbol`pMathematicalSymbols``214945
oalpha`2`n`(NonNegativeInteger,List(NonNegativeInteger))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``215012
oalphabetic?`1`x`(%)->Boolean`dCharacter``215151
oalphabetic`0`x`()->%`dCharacterClass``215264
oalphaHilbert`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``215390
oalphanumeric?`1`x`(%)->Boolean`dCharacter``215490
oalphanumeric`0`x`()->%`dCharacterClass``215628
oalternating`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``215758
oalternatingGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``215864
oalternatingGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``216406
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``216774
oalternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``217014
oaltsupersub`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``217254
oanalyseSymbol`1`n`(SparseEchelonMatrix(JB,D))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``217651
oancestors`2`n`(SExpression,Boolean)->List(Record(form:SExpression,condition:SExpression))`pBrowserInformation``217750
oAnd`2`n`(%,%)->%`dIndexedBits(mn)``217825
oand`2`n`(%,%)->%`dOutputForm``217916
oAND`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``217973
oand`2`x`(%,%)->%`cBitAggregate``218067
oand`2`x`(%,%)->%`dBoolean``218160
oAnd`2`x`(%,%)->%`dSingleInteger``218246
oangerJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``218357
oangerJ`2`x`(%,%)->%`cSpecialFunctionCategory``218416
oannihilate?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oannihilate?`2`n`(S,S)->Boolean`xRng&(S)``0
oannihilate?`2`x`(%,%)->Boolean`cRng``218475
oansatz`0`n`()->JetVectorField(JB1,JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``218567
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``218641
oantiAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``218830
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``219019
oantiCommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``219180
oantiCommutator`2`n`(%,%)->%`cNonAssociativeSemiRng``219341
oantiCommutator`2`n`(S,S)->S`xNonAssociativeSemiRng&(S)``0
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``219400
oantipode`1`x`(%)->%`cHopfAlgebra(R,MxM)``219438
oantisymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
oantisymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oantisymmetric?`1`x`(%)->Boolean`cMatrixOperationsCategory(R,Row,Col)`has(R,AbelianGroup)`219510
oantisymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,CommutativeRing)`219717
oantisymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,CommutativeRing)`220277
oany?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oany?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oany?`2`x`((S)->Boolean,%)->Boolean`cHomogeneousAggregate(S)`has(%,finiteAggregate)`220851
oany`2`x`(SExpression,None)->%`dAny``221133
oappend!`2`n`(%,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``221317
oappend`2`n`(%,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``221393
oappend`2`x`(%,%)->%`dList(S)``221468
oappendPoint`2`n`(%,Point(DoubleFloat))->Void`dGraphImage``221625
oappendRow!`2`n`(%,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``221816
oappendSupport!`2`n`(%,List(FreeMonoid(VAR)))->%`dFreeDivisionAlgebra(VAR,F)``221907
oapply_taylor`2`n`(Stream(Coef),%)->%`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``221983
oapply_taylor`2`n`(UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``222220
oapply`2`n`(%,NonNegativeInteger)->NonNegativeInteger`dFunctionGraph(S)``222282
oapply`2`n`(%,Partition)->R`cSequenceCategory(R)``222359
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`x`(Matrix(R),%)->%`cFramedNonAssociativeAlgebra(R)``222499
oapply`2`x`(UPS,Distribution(R))->Distribution(S)`pDistributionPolynomialPackage(R,S,UPS)``222763
oapply`3`n`(%,Integer,Integer)->R`dIncidenceAlgebra(R,S)``222894
oapply`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`dMultifunctionGraph(S)``222951
oapply`3`n`(%,P,P)->Integer`dFiniteMoebiusFunction(P)``223028
oapply`3`n`(%,P,P)->R`dGeneralizedFiniteMoebiusFunction(P,R)``223135
oapply`3`n`(%,S,S)->R`dIncidenceAlgebra(R,S)``223242
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``223403
oapply`3`x`(%,R,R)->R`cUnivariateSkewPolynomialCategory(R)``223560
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``223674
oapplyQuote`2`n`(Symbol,List(S))->S`xFunctionSpace2&(S,R,K)``0
oapplyQuote`2`n`(Symbol,S)->S`xFunctionSpace2&(S,R,K)``0
oapplyQuote`2`x`(Symbol,%)->%`cFunctionSpace2(R,K)``223802
oapplyQuote`2`x`(Symbol,List(%))->%`cFunctionSpace2(R,K)``223859
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace2&(S,R,K)``0
oapplyQuote`3`x`(Symbol,%,%)->%`cFunctionSpace2(R,K)``223938
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oapplyQuote`4`x`(Symbol,%,%,%)->%`cFunctionSpace2(R,K)``224001
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oapplyQuote`5`x`(Symbol,%,%,%,%)->%`cFunctionSpace2(R,K)``224070
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``224145
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``224368
oapplyTaylor`2`n`((UTS)->UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``224496
oapproximants`1`x`(%)->Stream(Fraction(R))`dContinuedFraction(R)``224557
oapproximate`2`n`(%,Integer)->Fraction(Integer)`dBalancedPAdicRational(p)``0
oapproximate`2`n`(%,Integer)->Fraction(Integer)`dPAdicRational(p)``0
oapproximate`2`n`(%,Integer)->Fraction(Integer)`dPAdicRationalConstructor(p,PADIC)``224756
oapproximate`2`x`(%,%)->Fraction(Integer)`cRealClosedField``224857
oapproximate`2`x`(%,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(^,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`224952
oapproximate`2`x`(%,Integer)->Integer`cPAdicIntegerCategory(p)``225087
oapproximate`3`x`(ThePols,%,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``225224
oapproxNthRoot`2`x`(I,NonNegativeInteger)->I`pIntegerRoots(I)``225350
oapproxSqrt`1`x`(I)->I`pIntegerRoots(I)``225471
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``225714
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F,RR)``225762
oarbFunctions`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``225814
oarcsineDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)`has(R,Algebra(Fraction(Integer)))`226037
oareEquivalent?`2`x`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`226130
oareEquivalent?`3`x`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`226262
oareEquivalent?`4`x`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`226409
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``227675
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``227728
oargscript`2`x`(%,List(OutputForm))->%`dSymbol``227782
oargument`1`n`(%)->E`dFourierComponent(E)``227879
oargument`1`n`(%)->List(S)`cKernelCategory(S)``227957
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`x`(%)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`228027
oargumentList!`1`n`(List(Symbol))->Void`dTheSymbolTable``228100
oargumentList!`2`n`(Symbol,List(Symbol))->Void`dTheSymbolTable``228230
oargumentList!`3`n`(Symbol,List(Symbol),%)->Void`dTheSymbolTable``228360
oargumentListOf`2`n`(Symbol,%)->List(Symbol)`dTheSymbolTable``228488
oarguments`1`n`(OutputForm)->List(OutputForm)`pOutputFormTools``228563
oarity`1`x`(%)->Union(NonNegativeInteger,"failed")`dBasicOperator``228672
oaromberg`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``228790
oarray2`1`n`(List(List(R)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oarray2`1`x`(List(List(R)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``229561
oarrayStack`1`x`(List(S))->%`dArrayStack(S)``229651
oarrowName`3`n`(%,NonNegativeInteger,NonNegativeInteger)->String`cFiniteGraph(S)``229807
oarrowName`3`n`(A,NonNegativeInteger,NonNegativeInteger)->String`xFiniteGraph&(A,S)``0
oarrowName`3`n`(A,NonNegativeInteger,NonNegativeInteger)->String`xPoset&(A,S)``0
oarrowsFromArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``229924
oarrowsFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsFromNode`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``229976
oarrowsFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsToArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``230060
oarrowsToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsToNode`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``230149
oarrowsToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oasec`1`n`(F)->F`pElementaryFunction(R,F)``230233
oasec`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oasec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``230303
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``230374
oasec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``230445
oasec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``230518
oasec`1`x`(%)->%`cArcTrigonometricFunctionCategory``230593
oasech`1`n`(F)->F`pElementaryFunction(R,F)``230651
oasech`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``230733
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``230825
oasech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``230917
oasech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``231006
oasech`1`x`(%)->%`cArcHyperbolicFunctionCategory``231097
oasechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``231167
oasecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``231256
oasimpson`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``231343
oasin`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``232114
oasin`1`n`(F)->F`pElementaryFunction(R,F)``232183
oasin`1`n`(S)->S`xComplexCategory&(S,R)``0
oasin`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``232251
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``232320
oasin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``232389
oasin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``232460
oasin`1`x`(%)->%`cArcTrigonometricFunctionCategory``232533
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``232887
oasinh`1`n`(S)->S`xComplexCategory&(S,R)``0
oasinh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``232967
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``233057
oasinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``233147
oasinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``233234
oasinh`1`x`(%)->%`cArcHyperbolicFunctionCategory``233323
oasinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``233391
oasinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``233480
oassert`2`x`(%,Symbol)->%`dBasicOperator``233567
oassign`2`n`(%,%)->%`dOutputForm``233714
oassign`2`n`(Symbol,Expression(Complex(Float)))->%`dFortranCode``233790
oassign`2`n`(Symbol,Expression(Float))->%`dFortranCode``233873
oassign`2`n`(Symbol,Expression(Integer))->%`dFortranCode``233956
oassign`2`n`(Symbol,Expression(MachineComplex))->%`dFortranCode``234039
oassign`2`n`(Symbol,Expression(MachineFloat))->%`dFortranCode``234122
oassign`2`n`(Symbol,Expression(MachineInteger))->%`dFortranCode``234205
oassign`2`n`(Symbol,Matrix(Expression(Complex(Float))))->%`dFortranCode``234288
oassign`2`n`(Symbol,Matrix(Expression(Float)))->%`dFortranCode``234371
oassign`2`n`(Symbol,Matrix(Expression(Integer)))->%`dFortranCode``234454
oassign`2`n`(Symbol,Matrix(Expression(MachineComplex)))->%`dFortranCode``234537
oassign`2`n`(Symbol,Matrix(Expression(MachineFloat)))->%`dFortranCode``234620
oassign`2`n`(Symbol,Matrix(Expression(MachineInteger)))->%`dFortranCode``234703
oassign`2`n`(Symbol,Matrix(MachineComplex))->%`dFortranCode``234786
oassign`2`n`(Symbol,Matrix(MachineFloat))->%`dFortranCode``234869
oassign`2`n`(Symbol,Matrix(MachineInteger))->%`dFortranCode``234952
oassign`2`n`(Symbol,String)->%`dFortranCode``235035
oassign`2`n`(Symbol,Vector(Expression(Complex(Float))))->%`dFortranCode``235118
oassign`2`n`(Symbol,Vector(Expression(Float)))->%`dFortranCode``235201
oassign`2`n`(Symbol,Vector(Expression(Integer)))->%`dFortranCode``235284
oassign`2`n`(Symbol,Vector(Expression(MachineComplex)))->%`dFortranCode``235367
oassign`2`n`(Symbol,Vector(Expression(MachineFloat)))->%`dFortranCode``235450
oassign`2`n`(Symbol,Vector(Expression(MachineInteger)))->%`dFortranCode``235533
oassign`2`n`(Symbol,Vector(MachineComplex))->%`dFortranCode``235616
oassign`2`n`(Symbol,Vector(MachineFloat))->%`dFortranCode``235699
oassign`2`n`(Symbol,Vector(MachineInteger))->%`dFortranCode``235782
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Complex(Float)))->%`dFortranCode``235865
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Float))->%`dFortranCode``236035
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Integer))->%`dFortranCode``236205
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineComplex))->%`dFortranCode``236375
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineFloat))->%`dFortranCode``236545
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineInteger))->%`dFortranCode``236715
oassoc`2`x`(Key,%)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``236885
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`237040
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``237228
oassociates?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`x`(%,%)->Boolean`cEntireRing``237373
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``237500
oassociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``237580
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`x`(%,%,%)->%`cNonAssociativeRng``237660
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``237726
oassociatorDependence`0`x`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`238063
oat_eos?`1`n`(Record(str:String,pos:Integer))->Boolean`pTeXScanner``238400
oatan`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``238491
oatan`1`n`(F)->F`pElementaryFunction(R,F)``238560
oatan`1`n`(S)->S`xComplexCategory&(S,R)``0
oatan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``238631
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``238703
oatan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``238775
oatan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``238849
oatan`1`x`(%)->%`cArcTrigonometricFunctionCategory``238925
oatan`2`x`(%,%)->%`dDoubleFloat``239338
oatan`2`x`(%,%)->%`dFloat``239423
oatan1`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``239508
oatanh`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatElementaryFunctions``239560
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``239606
oatanh`1`n`(S)->S`xComplexCategory&(S,R)``0
oatanh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oatanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``239689
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``239782
oatanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``239875
oatanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``239965
oatanh`1`x`(%)->%`cArcHyperbolicFunctionCategory``240057
oatanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``240128
oatanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``240217
oatom_to_string`1`n`(OutputForm)->String`pOutputFormTools``240304
oatom?`1`n`(%)->Boolean`dILogic``240370
oatom?`1`n`(%)->Boolean`dLambda(UT)``240494
oatom?`1`n`(%)->Boolean`dLatticeJoinOfMeets``240645
oatom?`1`n`(%)->Boolean`dLatticeMeetOfJoins``240769
oatom?`1`n`(%)->Boolean`dSKICombinators(UT)``240893
oatom?`1`n`(OutputForm)->Boolean`pOutputFormTools``241017
oatom?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``241104
oatoms`1`n`(%)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``241170
oatrapezoidal`8`x`((F)->F,F,F,F,F,Integer,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``241263
oatType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``242042
oaugment`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`x`(List(P),%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``242117
oaugment`2`x`(List(P),List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``242285
oaugment`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``242383
oaugment`2`x`(P,List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``242807
oautoReduce`1`n`(List(%))->List(%)`cJetBundleFunctionCategory(JB)``242903
oautoReduce`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`x`(%,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``243052
oaxes`2`x`(%,String)->Void`dThreeDimensionalViewport``243212
oaxes`3`n`(%,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``243434
oaxes`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``243675
oaxesColorDefault`0`x`()->Palette`pViewDefaultsPackage``243927
oaxesColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``244016
oB1solve`1`n`(Record(mat:Matrix(Fraction(Polynomial(R))),vec:List(Fraction(Polynomial(R))),rank:NonNegativeInteger,rows:List(Integer),cols:List(Integer)))->Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))`pParametricLinearEquations(R,Var,Expon,GR)``244127
oback`1`x`(%)->S`cQueueAggregate(S)``244715
obackOldPos`1`x`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:%))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``244863
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``245101
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``245139
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``245177
obalancedBinaryTree`2`x`(NonNegativeInteger,S)->%`dBalancedBinaryTree(S)``245309
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``245425
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``245605
oband`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``245768
oband`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``245844
obandedHessian`3`n`(F,FLAS,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``245926
obandedJacobian`4`n`(FLAF,FLAS,NonNegativeInteger,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``246471
obandMatrix`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`247167
obandMatrix`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`247397
obase`0`n`()->PositiveInteger`dMachineFloat``247627
obase`0`x`()->%`cIntegerNumberSystem``247678
obase`0`x`()->PositiveInteger`cFloatingPointSystem``247766
obase`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``247856
obase`1`x`(%)->List(S)`dPermutationGroup(S)``247917
oBasicMethod`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``247979
obasicSet`2`n`(List(P),(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`2`x`(List(P),(P,P)->Boolean)->Union(Record(bas:%,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``248072
obasicSet`3`n`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`3`x`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:%,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``248377
obasis`0`n`()->Vector(%)`cFramedModule(R)``248558
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`n`()->Vector(S)`xOctonionCategory&(S,R)``0
obasis`1`n`(%)->Vector(A)`dFractionalIdeal(R,F,UP,A)``248621
obasis`1`n`(%)->Vector(A)`dFractionalIdealAsModule(R,F,UP,A,ibasis)``248697
obasis`1`n`(List(Vector(R)))->%`dVectorSpaceBasis(R)``248767
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``248865
obasis`1`x`(PositiveInteger)->Vector(%)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`248959
obasis`1`x`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`249050
obasis`2`x`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``249122
obasisOfCenter`0`x`()->List(A)`pAlgebraPackage(R,A)``249428
obasisOfCentroid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``249673
obasisOfCommutingElements`0`x`()->List(A)`pAlgebraPackage(R,A)``249828
obasisOfLeftAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``249995
obasisOfLeftNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``250119
obasisOfLeftNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``250293
obasisOfMiddleNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``250474
obasisOfNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``250650
obasisOfRightAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``250864
obasisOfRightNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``250989
obasisOfRightNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``251164
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``251347
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``251397
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``251504
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``251604
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``251744
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``251832
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``251912
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``252003
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace2&(S,K)``252064
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace2&(S,R,K)``0
obelong?`1`x`(BasicOperator)->Boolean`cExpressionSpace2(K)``252151
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``252238
obernoulli`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``252550
obernoulliB`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`252703
obernoulliDistribution01`1`x`(R)->Distribution(R)`pDistributionPackage(R)``252800
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``252894
obesselI`2`x`(%,%)->%`cSpecialFunctionCategory``252993
obesselI`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``253072
obesselI`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``253281
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``253490
obesselJ`2`x`(%,%)->%`cSpecialFunctionCategory``253589
obesselJ`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``253659
obesselJ`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``253859
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``254059
obesselK`2`x`(%,%)->%`cSpecialFunctionCategory``254158
obesselK`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``254238
obesselK`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``254625
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``255013
obesselY`2`x`(%,%)->%`cSpecialFunctionCategory``255112
obesselY`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``255183
obesselY`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``255573
oBeta`0`n`()->Symbol`pMathematicalSymbols``255963
obeta`0`n`()->Symbol`pMathematicalSymbols``256030
oBeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``256095
oBeta`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``256180
oBeta`2`x`(%,%)->%`cSpecialFunctionCategory``256219
oBeta`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oBeta`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``256286
oBeta`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oBeta`2`x`(Float,Float)->Float`pFloatSpecialFunctions``256339
oBeta`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``256392
oBeta`3`x`(%,%,%)->%`cSpecialFunctionCategory``256485
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`256546
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``256682
obezoutMatrix`2`n`(UP,UP)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`256788
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obinary`1`x`(Fraction(Integer))->%`dBinaryExpansion``256941
obinary`2`n`((Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``257015
obinary`2`n`((Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``257333
obinary`2`n`(%,List(%))->%`dInputForm``257651
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``257761
obinarySearch`2`n`(S,(S,S)->Integer)->Union(S,"failed")`pSortedCache(S)``257813
obinarySearchTree`1`x`(List(S))->%`dBinarySearchTree(S)``258029
obinaryTournament`1`x`(List(S))->%`dBinaryTournament(S)``258129
obinaryTree`1`x`(S)->%`dBinaryTree(S)``258247
obinaryTree`3`x`(%,S,%)->%`dBinaryTree(S)``258350
obind`1`n`(%)->%`dLambda(UT)``258480
obinomial`2`n`(%,%)->%`dOutputForm``258571
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``258670
obinomial`2`n`(Integer,Fraction(Integer))->()->Integer`pRandomIntegerDistributions``258843
obinomial`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``258886
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`x`(%,%)->%`cCombinatorialFunctionCategory``259017
obinomial`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``259209
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`x`(%,%,NonNegativeInteger)->%`cFiniteAbelianMonoidRing(R,E)`has(%,CommutativeRing)`259411
obipolar`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``259510
obipolarCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``259748
obiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``260043
obirth`1`n`(%)->%`dSubSpace(n,R)``260410
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`x`(%,%)->Boolean`cIntegerNumberSystem``260447
obitCoef`2`n`(Integer,NonNegativeInteger)->Integer`pIntegerBits``260543
obits`0`x`()->PositiveInteger`cFloatingPointSystem``260648
obits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`260713
obits`2`x`(NonNegativeInteger,Boolean)->%`dBits``260806
obitTruth`2`n`(Integer,NonNegativeInteger)->Boolean`pIntegerBits``260877
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``260999
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``261097
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``261254
oblankSeparate`1`n`(List(%))->%`dOutputForm``261418
oblock`1`n`(List(%))->%`dFortranCode``261513
oblockConcat`1`n`(List(List(S)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockConcat`1`x`(List(List(%)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``261603
oblockElimination`5`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``261748
oblockElimination`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),Boolean,List(NonNegativeInteger),List(NonNegativeInteger),Boolean)->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``261847
oblockElimination`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`262225
oblockSplit`3`n`(M,List(NonNegativeInteger),PositiveInteger)->List(List(M))`pMatrixManipulation(R,Row,Col,M)``262561
oblockSplit`3`n`(M,PositiveInteger,List(NonNegativeInteger))->List(List(M))`pMatrixManipulation(R,Row,Col,M)``262680
oblockSplit`3`n`(S,List(NonNegativeInteger),List(NonNegativeInteger))->List(List(S))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockSplit`3`n`(S,PositiveInteger,PositiveInteger)->List(List(S))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockSplit`3`x`(%,List(NonNegativeInteger),List(NonNegativeInteger))->List(List(%))`cTwoDimensionalArrayCategory(R,Row,Col)``262799
oblockSplit`3`x`(%,PositiveInteger,PositiveInteger)->List(List(%))`cTwoDimensionalArrayCategory(R,Row,Col)``263160
oblockStructure`1`n`(%)->Matrix(NonNegativeInteger)`dFreeDivisionAlgebra(VAR,F)``263403
oblue`0`x`()->%`dColor``263686
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``263761
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``263845
obooleanConvolution`2`n`(%,%)->%`cDistributionCategory(R)``263937
obooleanCumulant`2`n`(%,PositiveInteger)->R`cDistributionCategory(R)``264051
obooleanCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``264157
obooleanCumulantFromJacobi`3`x`(Integer,Sequence(R),Sequence(R))->R`dDistribution(R)``264280
obooleanCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)``264429
oboolWordPermute`2`n`(NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``264535
oboolWordPermute`3`n`(List(List(Boolean)),NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``264668
obottom`1`n`(Stream(List(R)))->Stream(R)`pPathArrayPackage(R)``264709
obottom`1`x`(%)->S`cDequeueAggregate(S)``264774
obound`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``264855
oboundary`1`n`(%)->%`dFiniteCubicalComplex(VS)``265070
oboundary`1`n`(%)->%`dFiniteSimplicialComplex(VS)``265284
oboundary`1`n`(%)->List(%)`dCubicalFacet``265479
oboundary`1`n`(%)->List(%)`dOrientedFacet``265548
oboundary`2`n`(%,DoubleFloat)->SBoundary(PT)`dScene(PT)``265617
oboundOfCauchy`1`x`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`266490
obox`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``266551
obox`1`n`(%)->%`dOutputForm``266732
obox`1`n`(S)->S`xExpressionSpace2&(S,K)``0
obox`1`n`(String)->%`dOutputBox``266781
obox`1`x`(%)->%`cExpressionSpace2(K)``266851
oboxBoundary`2`n`(PT,PT)->%`dSBoundary(PT)``267084
obrace`1`n`(%)->%`dOutputForm``267306
obrace`1`n`(List(%))->%`dOutputForm``267393
obracket`1`n`(%)->%`dOutputForm``267524
obracket`1`n`(List(%))->%`dOutputForm``267605
obracket`3`n`(String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``267739
obracket`3`n`(String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``267977
obranchIfCan`8`x`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pQuasiComponentPackage(R,E,V,P,TS)``268215
obranchIfCan`8`x`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``268335
obranchPoint?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``268455
obranchPoint?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``268531
obranchPointAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``268610
obright`1`x`(Color)->%`dPalette``268695
obright`1`x`(List(String))->List(String)`pDisplayPackage``268783
obright`1`x`(String)->List(String)`pDisplayPackage``268881
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``268970
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``269128
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``269425
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``269521
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``269658
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``269794
obsolve`5`n`(Matrix(GR),List(Fraction(Polynomial(R))),NonNegativeInteger,String,Integer)->Record(rgl:List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),rgsz:Integer)`pParametricLinearEquations(R,Var,Expon,GR)``269950
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger)))`pGaloisGroupFactorizer(UP)``270198
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`270711
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``270754
obuild`3`n`(R,IS,E)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``270800
oBumInSepFFE`1`n`(Record(flag:Union("nil","sqfr","irred","prime"),factor:P,exponent:NonNegativeInteger))->Record(flag:Union("nil","sqfr","irred","prime"),factor:P,exponent:NonNegativeInteger)`pUnivariatePolynomialSquareFree(RC,P)``270843
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``270956
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``271121
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``271262
oBY`2`x`(%,Integer)->%`cSegmentCategory(S)``271402
ocAcos`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`271501
ocAcosh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`271627
ocAcot`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`271770
ocAcoth`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`271899
ocAcsc`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`272045
ocAcsch`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`272173
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``272318
ocall`1`n`(String)->%`dFortranCode``272360
ocanonicalBasis`1`n`(NonNegativeInteger)->%`dVectorSpaceBasis(R)``272435
ocanonicalIfCan`2`n`(MPT,MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``272536
ocanonicalMoebiusFunction`1`n`(List(P))->%`dGeneralizedFiniteMoebiusFunction(P,R)``272640
ocap`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``272719
ocar`1`x`(%)->%`cSExpressionCategory(Str,Sym,Int,Flt)``272828
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`x`(%)->NonNegativeInteger`cFiniteSetAggregate(S)``272880
ocarmichaelLambda`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``272988
ocartesian`1`n`(List(List(T)))->List(List(T))`pListPackage(T)``273217
ocartesian`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``273337
ocartesian`2`n`(%,%)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``273419
ocartesian`2`n`(%,%)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``273871
ocartesian`2`n`(%,%)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``273991
ocartesian`2`n`(%,%)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``274410
ocartesianPower`2`n`(List(T),NonNegativeInteger)->List(List(T))`pListPackage(T)``274829
ocAsec`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`274925
ocAsech`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`275051
ocAsin`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`275194
ocAsinh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`275318
ocatalan`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``275459
ocAtan`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`275523
ocAtanh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`275650
ocCos`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`275794
ocCosh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`275916
ocCot`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`276050
ocCoth`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`276175
ocCsc`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`276312
ocCsch`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`276436
ocdr`1`x`(%)->%`cSExpressionCategory(Str,Sym,Int,Flt)``276572
oceiling`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``276635
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`x`(%)->%`cRealNumberSystem``276714
oceiling`1`x`(%)->%`cSpecialFunctionCategory``276777
oceiling`1`x`(%)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`276856
ocenter`1`n`(%)->%`dOutputForm``276935
ocenter`1`x`(%)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``276997
ocenter`2`n`(%,Integer)->%`dOutputForm``277084
ocenter`3`x`(List(String),Integer,String)->List(String)`pDisplayPackage``277165
ocenter`3`x`(String,Integer,String)->String`pDisplayPackage``277443
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``277752
ocExp`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`277957
ochain`1`n`(%)->ChainComplex`dDeltaComplex(VS)``278084
ochain`1`n`(%)->ChainComplex`dFiniteCubicalComplex(VS)``278167
ochain`1`n`(%)->ChainComplex`dFiniteSimplicialComplex(VS)``278250
ochainComplex`1`n`(List(Matrix(Integer)))->%`dChainComplex``278446
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``278465
ochangeBase`3`n`(Integer,Integer,PositiveInteger)->%`dMachineFloat``278574
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``278631
ochangeExprLength`1`n`(Integer)->Void`pFortranCodeTools``278782
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``278864
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``278968
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``279072
ochar_pol_via_berkovitz`1`n`(Matrix(R))->SparseUnivariatePolynomial(R)`pCharacteristicPolynomial4(R)``279212
ochar_pol_via_den_interpolation`1`n`(Matrix(Fraction(R)))->SparseUnivariatePolynomial(Fraction(R))`pCharacteristicPolynomial3(R)`has(R,GcdDomain)`279300
ochar_pol_via_interpolation`1`n`(Matrix(R))->SparseUnivariatePolynomial(R)`pCharacteristicPolynomial3(R)``279396
ochar_pol`1`n`(Matrix(F))->SparseUnivariatePolynomial(F)`pCharacteristicPolynomial2(F)``279488
ochar`1`x`(Integer)->%`dCharacter``279562
ochar`1`x`(String)->%`dCharacter``279702
ocharacter?`1`n`(%)->Boolean`dFortranScalarType``279783
ocharacteristic`0`n`()->NonNegativeInteger`xComplexCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xFunctionSpace2&(S,R,K)``0
ocharacteristic`0`n`()->NonNegativeInteger`xIntegerNumberSystem&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
ocharacteristic`0`n`()->NonNegativeInteger`xOctonionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuaternionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuotientFieldCategory&(A,S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealClosedField&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealNumberSystem&(S)``0
ocharacteristic`0`x`()->NonNegativeInteger`cNonAssociativeRing``279879
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``279950
ocharacteristicPolynomial`1`n`(Matrix(F))->SparseUnivariatePolynomial(F)`pInnerEigenPackage(F)``280059
ocharacteristicPolynomial`1`n`(Matrix(R))->SparseUnivariatePolynomial(R)`pCharacteristicPolynomial(R)``280162
ocharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ocharacteristicPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`x`(%)->UP`cFiniteRankAlgebra(R,UP)``280267
ocharacteristicPolynomial`1`x`(Matrix(Complex(Fraction(Integer))))->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``280416
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``280597
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``280770
ocharacteristicPolynomial`2`n`(Matrix(R),R)->R`pCharacteristicPolynomial(R)``280930
ocharacteristicPolynomial`2`x`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``281212
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``281389
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``281558
ocharacteristicPolynomial`2`x`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``281708
ocharacteristicSerie`1`x`(List(P))->List(%)`dWuWenTsunTriangularSet(R,E,V,P)``281990
ocharacteristicSerie`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->List(%)`dWuWenTsunTriangularSet(R,E,V,P)``282116
ocharacteristicSet`1`x`(List(P))->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``282487
ocharacteristicSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``282609
ocharClass`1`x`(List(Character))->%`dCharacterClass``283253
ocharClass`1`x`(String)->%`dCharacterClass``283372
ocharlierC`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``283493
ocharlierC`3`x`(%,%,%)->%`cSpecialFunctionCategory``283554
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``283615
ocharthRoot`1`n`(S)->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->S`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialFactorizationExplicit&(S)``0
ocharthRoot`1`x`(%)->%`cFiniteFieldCategory``283726
ocharthRoot`1`x`(%)->Union(%,"failed")`cPolynomialFactorizationExplicit`has(%,CharacteristicNonZero)`283853
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``283972
ochebyshevT`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``284258
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``284444
ochebyshevU`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``284725
ocheck_sol1a`6`n`(Vector(U32Vector),List(U32Vector),(List(U32Vector),Integer,Integer)->Vector(U32Vector),Integer,Integer,Integer)->U32Vector`pModularHermitePade``284906
ocheck`1`n`(List(GuessOption))->Union("skip","MonteCarlo","deterministic")`dGuessOptionFunctions0``284995
ocheck`1`x`(%)->%`cThreeSpaceCategory(R)``285256
ocheck`1`x`(Union("skip","MonteCarlo","deterministic"))->%`dGuessOption``285380
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``285664
ocheckExtraValues`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``285700
ocheckExtraValues`1`x`(Boolean)->%`dGuessOption``285855
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``286048
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``286297
ocheckOptions`1`n`(List(GuessOption))->Void`dGuessOptionFunctions0``286562
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``286668
ocheckType`1`n`(String)->String`pFortranCodeTools``286788
oChi`0`n`()->Symbol`pMathematicalSymbols``286815
ochi`0`n`()->Symbol`pMathematicalSymbols``286880
oChi`1`n`(F)->F`pLiouvillianFunction(R,F)``286943
oChi`1`x`(%)->%`cLiouvillianFunctionCategory``287003
oChi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``287133
oChi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oChi`1`x`(Float)->Float`pFloatLiouvilianFunctions``287193
ochild?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
ochild?`2`n`(A,A)->Boolean`xRecursiveAggregate&(A,S)``0
ochild?`2`x`(%,%)->Boolean`cRecursiveAggregate(S)`has(S,BasicType)`287253
ochild`2`n`(%,NonNegativeInteger)->%`dSubSpace(n,R)``287332
ochildren`1`n`(%)->List(%)`dSubSpace(n,R)``287372
ochildren`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
ochildren`1`x`(%)->List(%)`cRecursiveAggregate(S)``287412
ochinese_update`3`n`(U32Vector,Integer,%)->Void`dVectorIntegerReconstructor``287521
ochinese_update`3`n`(U32Vector,Integer,%)->Void`dVectorModularReconstructor``287605
ochineseRemainder`2`x`(List(List(R)),List(R))->List(R)`pCRApackage(R)``287721
ochineseRemainder`2`x`(List(R),List(R))->R`pCRApackage(R)``287962
ochineseRemainder`3`n`(List(UP),List(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))),NonNegativeInteger)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pChineseRemainderToolsForIntegralBases(K,R,UP)``288164
ochineseRemainder`4`x`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``288220
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``288416
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``288457
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``288499
ochvar`2`n`(List(UPUP),UPUP)->Record(func:List(UPUP),poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``288537
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``288628
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``288997
oCi`1`x`(%)->%`cLiouvillianFunctionCategory``289052
oCi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``289176
oCi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oCi`1`x`(Float)->Float`pFloatLiouvilianFunctions``289231
ocircle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``289286
oclass`1`n`(%)->NonNegativeInteger`cJetBundleCategory``289352
oclass`1`n`(%)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``289470
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`cJetBundleCategory``289581
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`xJetBundleCategory&(S)``289695
oclass`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oclass`1`n`(S)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oclassicalConvolution`2`n`(%,%)->%`cDistributionCategory(R)``289809
oclassicalCumulant`2`n`(%,PositiveInteger)->R`cDistributionCategory(R)``289927
oclassicalCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)``290037
oclear_used_intrinsics`0`n`()->Void`pFortranCodeTools``290142
oclearCache`0`n`()->Void`pSortedCache(S)``290210
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``290256
oclearDenominator`1`n`(P)->P`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``290432
oclearDenominator`1`x`(A)->A`pCommonDenominator(R,Q,A)``290581
oclearDenominator`1`x`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``290757
oclearDenominator`1`x`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
oclearFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``290902
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``290974
oclearTheSymbolTable`0`n`()->Void`dTheSymbolTable``291068
oclearTheSymbolTable`1`n`(Symbol)->Void`dTheSymbolTable``291137
oclexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``291217
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``291798
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``292065
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``292338
oclip`1`x`(Boolean)->%`dDrawOption``292616
oclip`1`x`(List(Segment(Float)))->%`dDrawOption``292778
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``292936
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``293243
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``293452
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``293799
oclipPointsDefault`0`x`()->Boolean`pGraphicsDefaults``294176
oclipPointsDefault`1`x`(Boolean)->Boolean`pGraphicsDefaults``294270
oclipSurface`2`x`(%,String)->Void`dThreeDimensionalViewport``294435
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``294731
ocLog`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`295061
oclose!`1`n`(%)->Void`dBasicFile``295186
oclose!`1`n`(%)->Void`dBasicKeyedAccessFile``295216
oclose!`1`x`(%)->%`cFileCategory(Name,S)``295267
oclose!`1`x`(%)->%`dLibrary``295345
oclose`1`n`(%)->Void`dTwoDimensionalViewport``295426
oclose`1`x`(%)->Void`dThreeDimensionalViewport``295624
oclose`2`n`(%,Boolean)->Boolean`dSubSpaceComponentProperty``295826
ocloseComponent`3`n`(%,List(NonNegativeInteger),Boolean)->%`dSubSpace(n,R)``295866
oclosed?`1`n`(%)->Boolean`dSubSpaceComponentProperty``296310
oclosed?`1`n`(%)->Boolean`dTubePlot(Curve)``296349
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dDirectedGraph(S)``296428
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dMultifunctionGraph(S)``296554
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dUndirectedGraph(S)``296674
oclosedCartesian`3`n`(%,%,(S,S)->S)->%`dWeightedGraph(S,W)``296718
oclosedCurve?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``296762
oclosedCurve`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``296994
oclosedCurve`1`x`(List(Point(R)))->%`cThreeSpaceCategory(R)``297330
oclosedCurve`2`x`(%,List(List(R)))->%`cThreeSpaceCategory(R)``297592
oclosedCurve`2`x`(%,List(Point(R)))->%`cThreeSpaceCategory(R)``298109
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dDirectedGraph(S)``298377
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dFunctionGraph(S)``298497
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dMultifunctionGraph(S)``298623
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dUndirectedGraph(S)``298664
oclosedTensor`3`n`(%,%,(S,S)->S)->%`dWeightedGraph(S,W)``298705
ocmult`1`n`(List(SparseMultivariatePolynomial(R0,Kernel(F))))->SparseMultivariatePolynomial(R0,Kernel(F))`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``298746
ocnlexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``298801
ocoAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``299394
ocoAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``299510
ocoboundary`3`n`(%,NonNegativeInteger,List(VS))->List(VS)`dCoChainComplex(VS)``299626
ocoChain`1`n`(%)->CoChainComplex(VS)`dDeltaComplex(VS)``299694
ocoChain`1`n`(%)->CoChainComplex(VS)`dFiniteSimplicialComplex(VS)``299777
ocoChainComplex`1`n`(ChainComplex)->%`dCoChainComplex(VS)``299981
ocoChainComplex`1`n`(List(Matrix(Integer)))->%`dCoChainComplex(VS)``300025
ococyclotomic_decomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicUtilities``300044
ocode`1`n`(%)->Union(nullBranch:"null",assignmentBranch:Record(var:Symbol,arrayIndex:List(Polynomial(Integer)),rand:Record(ints2Floats?:Boolean,expr:OutputForm)),arrayAssignmentBranch:Record(var:Symbol,rand:OutputForm,ints2Floats?:Boolean),conditionalBranch:Record(switch:Switch,thenClause:%,elseClause:%),returnBranch:Record(empty?:Boolean,value:Record(ints2Floats?:Boolean,expr:OutputForm)),blockBranch:List(%),commentBranch:List(String),callBranch:String,forBranch:Record(range:SegmentBinding(Polynomial(Integer)),span:Polynomial(Integer),body:%),labelBranch:SingleInteger,loopBranch:Record(switch:Switch,body:%),commonBranch:Record(name:Symbol,contents:List(Symbol)),printBranch:List(OutputForm))`dFortranCode``300158
ocoef`2`n`(%,E)->R`dXPolynomialRing(R,E)``300255
ocoef`2`x`(%,%)->R`cXFreeAlgebra(vl,R)``300372
ocoef`2`x`(%,FreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``300501
ocoef`2`x`(XRecursivePolynomial(VarSet,R),%)->R`cFreeLieAlgebra(VarSet,R)``300584
ocoefChoose`3`n`(Integer,P,List(Record(factor:P,exponent:NonNegativeInteger)))->P`pMultivariateSquareFree(E,OV,R,P)``300717
ocoefficient`2`n`(%,%)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``300758
ocoefficient`2`n`(%,%)->R`dAntiSymm(R,lVar)``300944
ocoefficient`2`n`(%,Integer)->R`dLaurentPolynomial(R,UP)``301162
ocoefficient`2`n`(%,JB)->D`dJetDifferential(JB,D)``301208
ocoefficient`2`n`(%,JB)->D`dJetVectorField(JB,D)``301314
ocoefficient`2`n`(%,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``301407
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(S,IndexedExponents(Var))->Coef`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`2`x`(%,E)->R`cAbelianMonoidRing(R,E)``301481
ocoefficient`2`x`(%,List(PositiveInteger))->K`dCliffordAlgebra(n,K,bLin)``301647
ocoefficient`2`x`(%,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``301765
ocoefficient`2`x`(%,S)->R`cFreeModuleCategory(R,S)``301839
ocoefficient`3`n`(%,List(VarSet),List(NonNegativeInteger))->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``301925
ocoefficient`3`n`(%,VarSet,NonNegativeInteger)->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``302136
ocoefficient`3`n`(S,List(Var),List(NonNegativeInteger))->S`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(S,Var,NonNegativeInteger)->S`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`x`(%,List(Var),List(NonNegativeInteger))->%`cMultivariateTaylorSeriesCategory(Coef,Var)``302292
ocoefficient`3`x`(%,Var,NonNegativeInteger)->%`cMultivariateTaylorSeriesCategory(Coef,Var)``302426
ocoefficients`1`n`(%)->List(D)`dJetDifferential(JB,D)``302512
ocoefficients`1`n`(%)->List(D)`dJetVectorField(JB,D)``302581
ocoefficients`1`n`(%)->Stream(Coef)`dInnerTaylorSeries(Coef)``302648
ocoefficients`1`n`(%)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``302985
ocoefficients`1`n`(A)->List(R)`xFreeModuleCategory&(A,R,S)``0
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`x`(%)->List(R)`cFreeModuleCategory(R,S)``303131
ocoefficients`1`x`(%)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``303207
ocoefficientSet`1`n`(SparseUnivariatePolynomial(Polynomial(TheField)))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
ocoeffs0`3`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``303359
ocoeffs1`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``303418
ocoerce_Q`1`n`(Fraction(Integer))->F`pFunctionalSpecialFunction(R,F)``303620
ocoerce`1`n`((PositiveInteger)->Coef)->%`dDirichletRing(Coef)``0
ocoerce`1`n`(%)->(PositiveInteger)->Coef`dDirichletRing(Coef)``0
ocoerce`1`n`(%)->Complex(DoubleFloat)`dSArgand``0
ocoerce`1`n`(%)->Complex(Float)`dMachineComplex``303678
ocoerce`1`n`(%)->D`dJetLazyFunction(JB,D)``303743
ocoerce`1`n`(%)->DeltaComplex(VS)`dFiniteCubicalComplex(VS)``303949
ocoerce`1`n`(%)->DeltaComplex(VS)`dFiniteSimplicialComplex(VS)``304001
ocoerce`1`n`(%)->Expression(Integer)`dJetBundleExpression(JB)``0
ocoerce`1`n`(%)->Expression(Integer)`dJetBundleXExpression(JB)``0
ocoerce`1`n`(%)->Expression(R)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``304056
ocoerce`1`n`(%)->FiniteSimplicialComplex(VS)`dDeltaComplex(VS)``304096
ocoerce`1`n`(%)->Float`dMachineFloat``304157
ocoerce`1`n`(%)->FreeMagma(VarSet)`dLyndonWord(VarSet)``304227
ocoerce`1`n`(%)->FreeMonoid(VarSet)`dFreeMagma(VarSet)``304330
ocoerce`1`n`(%)->FreeMonoid(VarSet)`dLyndonWord(VarSet)``304458
ocoerce`1`n`(%)->FreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``304562
ocoerce`1`n`(%)->LatticeMeetOfJoins`dLatticeJoinOfMeets``304711
ocoerce`1`n`(%)->List(Integer)`dPartition``304770
ocoerce`1`n`(%)->List(R)`cAIntervalCategory(R)``304838
ocoerce`1`n`(%)->List(String)`dXmlElement``304901
ocoerce`1`n`(%)->List(Vector(R))`dVectorSpaceBasis(R)``305099
ocoerce`1`n`(%)->Matrix(D)`dSparseEchelonMatrix(C,D)``305162
ocoerce`1`n`(%)->Matrix(R)`dRectangularMatrix(m,n,R)``305239
ocoerce`1`n`(%)->Matrix(R)`dSquareMatrix(ndim,R)``305353
ocoerce`1`n`(%)->OutputForm`cSPointCategory``305466
ocoerce`1`n`(%)->OutputForm`dFortranCode``305480
ocoerce`1`n`(%)->OutputForm`dFortranType``305542
ocoerce`1`n`(%)->OutputForm`dFreeDivisionAlgebra(VAR,F)``305605
ocoerce`1`n`(%)->OutputForm`dGraphImage``305746
ocoerce`1`n`(%)->OutputForm`dJetDifferentialEquation(JB,D)``305904
ocoerce`1`n`(%)->OutputForm`dLinearMultivariateMatrixPencil(R)``306002
ocoerce`1`n`(%)->OutputForm`dSBoundary(PT)``306074
ocoerce`1`n`(%)->OutputForm`dScene(PT)``306150
ocoerce`1`n`(%)->OutputForm`dSceneIFS(PT)``306394
ocoerce`1`n`(%)->OutputForm`dSTransform(PT)``306458
ocoerce`1`n`(%)->OutputForm`dTwoDimensionalViewport``306490
ocoerce`1`n`(%)->P`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``306668
ocoerce`1`n`(%)->Polynomial(R)`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ocoerce`1`n`(%)->PrimitiveArray(PrimitiveArray(PrimitiveArray(R)))`dThreeDimensionalMatrix(R)``306724
ocoerce`1`n`(%)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``306797
ocoerce`1`n`(%)->R`dModularField(R,Mod,reduction,merge,exactQuo)``306835
ocoerce`1`n`(%)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``306873
ocoerce`1`n`(%)->Record(index:IS,exponent:E)`dModuleMonomial(IS,E,ff)``306911
ocoerce`1`n`(%)->SExpression`dFortranScalarType``306949
ocoerce`1`n`(%)->Stream(Coef)`dDirichletRing(Coef)``0
ocoerce`1`n`(%)->String`dFortranScalarType``307030
ocoerce`1`n`(%)->String`dXmlAttribute``307108
ocoerce`1`n`(%)->Symbol`dFortranScalarType``307161
ocoerce`1`n`(%)->Symbol`dVariable(sym)``307229
ocoerce`1`n`(%)->Table(Symbol,FortranType)`dSymbolTable``307272
ocoerce`1`n`(%)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``307329
ocoerce`1`n`(%)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``307399
ocoerce`1`n`(%)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``307472
ocoerce`1`n`(%)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``307542
ocoerce`1`n`(%)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``307615
ocoerce`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xBinaryRecursiveAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDictionaryOperations&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteGraph&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteSetAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xHomogeneousAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xOneDimensionalArrayAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xPoset&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Character)->S`xStringAggregate&(S)``0
ocoerce`1`n`(Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Col)->S`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(Complex(DoubleFloat))->%`dSArgand``0
ocoerce`1`n`(Complex(Float))->%`dMachineComplex``307683
ocoerce`1`n`(Complex(Integer))->%`dMachineComplex``307749
ocoerce`1`n`(Complex(MachineFloat))->%`dMachineComplex``307815
ocoerce`1`n`(Complex(MachineInteger))->%`dMachineComplex``307881
ocoerce`1`n`(D)->%`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(D)->%`dJetLazyFunction(JB,D)``307947
ocoerce`1`n`(E)->%`dXPolynomialRing(R,E)``308102
ocoerce`1`n`(Equation(Expression(Complex(Float))))->%`dFortranProgram(name,returnType,arguments,symbols)``308145
ocoerce`1`n`(Equation(Expression(Float)))->%`dFortranProgram(name,returnType,arguments,symbols)``308186
ocoerce`1`n`(Equation(Expression(Integer)))->%`dFortranProgram(name,returnType,arguments,symbols)``308227
ocoerce`1`n`(Equation(Expression(MachineComplex)))->%`dFortranProgram(name,returnType,arguments,symbols)``308268
ocoerce`1`n`(Equation(Expression(MachineFloat)))->%`dFortranProgram(name,returnType,arguments,symbols)``308309
ocoerce`1`n`(Equation(Expression(MachineInteger)))->%`dFortranProgram(name,returnType,arguments,symbols)``308350
ocoerce`1`n`(Expression(Complex(Float)))->%`dFortranProgram(name,returnType,arguments,symbols)``308391
ocoerce`1`n`(Expression(Float))->%`dFortranProgram(name,returnType,arguments,symbols)``308431
ocoerce`1`n`(Expression(Integer))->%`dFortranProgram(name,returnType,arguments,symbols)``308471
ocoerce`1`n`(Expression(Integer))->%`dJetBundleExpression(JB)``0
ocoerce`1`n`(Expression(Integer))->%`dJetBundleXExpression(JB)``0
ocoerce`1`n`(Expression(Integer))->Expression(%)`dMachineInteger``308511
ocoerce`1`n`(Expression(MachineComplex))->%`dFortranProgram(name,returnType,arguments,symbols)``308584
ocoerce`1`n`(Expression(MachineFloat))->%`dFortranProgram(name,returnType,arguments,symbols)``308624
ocoerce`1`n`(Expression(MachineInteger))->%`dFortranProgram(name,returnType,arguments,symbols)``308664
ocoerce`1`n`(F)->%`dFreeDivisionAlgebra(VAR,F)``308704
ocoerce`1`n`(FinitePoset(S))->%`dDirectedGraph(S)``308840
ocoerce`1`n`(FinitePoset(S))->%`dUndirectedGraph(S)``308882
ocoerce`1`n`(FinitePoset(S))->%`dWeightedGraph(S,W)``308924
ocoerce`1`n`(FortranCode)->%`cFortranFunctionCategory``308966
ocoerce`1`n`(FortranCode)->%`cFortranMatrixCategory``309083
ocoerce`1`n`(FortranCode)->%`cFortranMatrixFunctionCategory``309200
ocoerce`1`n`(FortranCode)->%`cFortranVectorCategory``309317
ocoerce`1`n`(FortranCode)->%`cFortranVectorFunctionCategory``309434
ocoerce`1`n`(FortranCode)->%`dFortranProgram(name,returnType,arguments,symbols)``309551
ocoerce`1`n`(FortranScalarType)->%`dFortranType``309592
ocoerce`1`n`(FPol)->%`dResidueRing(F,Expon,VarSet,FPol,LFPol)``309654
ocoerce`1`n`(Fraction(Integer))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Fraction(Integer))->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(Fraction(Integer))->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Fraction(Integer))->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(Fraction(Integer))->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Fraction(Integer))->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Fraction(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Fraction(Integer))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Fraction(Polynomial(Fraction(R))))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(Fraction(Polynomial(R)))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(Fraction(R))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(FreeMonoid(VAR))->%`dFreeDivisionAlgebra(VAR,F)``309741
ocoerce`1`n`(GraphImage)->TwoDimensionalViewport`pViewportPackage``309875
ocoerce`1`n`(Integer)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Integer)->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(Integer)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Integer)->S`xAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Integer)->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(Integer)->S`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xNonAssociativeRing&(S)``0
ocoerce`1`n`(Integer)->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(Integer)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(JB)->%`cJetBundleFunctionCategory(JB)``310013
ocoerce`1`n`(K)->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(Lambda(UT))->SKICombinators(UT)`pcompUtil(UT)``310095
ocoerce`1`n`(LatticeMeetOfJoins)->%`dLatticeJoinOfMeets``310816
ocoerce`1`n`(LiePolynomial(VarSet,R))->%`dXPBWPolynomial(VarSet,R)``310875
ocoerce`1`n`(List(%))->SparseEchelonMatrix(JB,D)`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(List(FortranCode))->%`cFortranFunctionCategory``310917
ocoerce`1`n`(List(FortranCode))->%`cFortranMatrixCategory``311039
ocoerce`1`n`(List(FortranCode))->%`cFortranMatrixFunctionCategory``311161
ocoerce`1`n`(List(FortranCode))->%`cFortranVectorCategory``311283
ocoerce`1`n`(List(FortranCode))->%`cFortranVectorFunctionCategory``311405
ocoerce`1`n`(List(FortranCode))->%`dFortranProgram(name,returnType,arguments,symbols)``311527
ocoerce`1`n`(List(Integer))->%`dExtAlgBasis``311569
ocoerce`1`n`(List(List(Point(DoubleFloat))))->%`dGraphImage``311836
ocoerce`1`n`(List(S))->%`dDirectedGraph(S)``312296
ocoerce`1`n`(M)->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``312331
ocoerce`1`n`(MachineInteger)->%`dMachineFloat``312420
ocoerce`1`n`(Matrix(MachineFloat))->%`cFortranMatrixCategory``312492
ocoerce`1`n`(OutputForm)->%`dTexFormat``312569
ocoerce`1`n`(OutputForm)->String`dHTMLFormat``312655
ocoerce`1`n`(OutputForm)->String`dMathMLFormat``312742
ocoerce`1`n`(OutputForm)->String`dTexmacsFormat``312831
ocoerce`1`n`(P)->%`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``312921
ocoerce`1`n`(PermutationGroup(S))->%`dDirectedGraph(S)``313018
ocoerce`1`n`(PermutationGroup(S))->%`dMultifunctionGraph(S)``313065
ocoerce`1`n`(Polynomial(Fraction(R)))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(Polynomial(R))->%`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``0
ocoerce`1`n`(Polynomial(R))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(PrimitiveArray(PrimitiveArray(PrimitiveArray(R))))->%`dThreeDimensionalMatrix(R)``313157
ocoerce`1`n`(PrimitiveArray(S))->%`dTuple(S)``313286
ocoerce`1`n`(R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(R)->S`xAlgebra&(S,R)``0
ocoerce`1`n`(R)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(R)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(R)->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(R)->S`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(R)->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(R)->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(R)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(R)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Record(index:IS,exponent:E))->%`dModuleMonomial(IS,E,ff)``313347
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranFunctionCategory``313385
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranMatrixCategory``313575
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranMatrixFunctionCategory``313765
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranVectorCategory``313955
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`cFortranVectorFunctionCategory``314145
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->%`dFortranProgram(name,returnType,arguments,symbols)``314335
ocoerce`1`n`(S)->%`cCoercibleFrom(S)``314375
ocoerce`1`n`(S)->%`dMakeCachableSet(S)``314435
ocoerce`1`n`(S)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(S)->A`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(S)->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(S)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(S)->Expression(Integer)`xJetBundleCategory&(S)``0
ocoerce`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->List(R)`xAIntervalCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xAIntervalCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xAlgebra&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xAssociationListAggregate&(S,Key,Entry)``0
ocoerce`1`n`(S)->OutputForm`xComplexCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->OutputForm`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(S)->OutputForm`xJetBundleCategory&(S)``0
ocoerce`1`n`(S)->OutputForm`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xNonAssociativeRing&(S)``0
ocoerce`1`n`(S)->OutputForm`xOctonionCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xRealNumberSystem&(S)``0
ocoerce`1`n`(S)->OutputForm`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->OutputForm`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xStringAggregate&(S)``0
ocoerce`1`n`(S)->OutputForm`xTableAggregate&(S,Key,Entry)``0
ocoerce`1`n`(S)->OutputForm`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->OutputForm`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(S)->Polynomial(R)`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(S)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(S)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(S)->Vector(R)`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SKICombinators(UT))->ILogic`pcompUtil(UT)``314504
ocoerce`1`n`(SKICombinators(UT))->Lambda(UT)`pcompUtil(UT)``314945
ocoerce`1`n`(SMP)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``315273
ocoerce`1`n`(SparseEchelonMatrix(JB,D))->List(%)`dJetBundleLinearFunction(JB,D)``315355
ocoerce`1`n`(SparseMultivariatePolynomial(Expression(Integer),JB))->%`dJetBundleExpression(JB)``0
ocoerce`1`n`(SparseMultivariatePolynomial(Integer,Kernel(%)))->%`dJetBundleExpression(JB)``0
ocoerce`1`n`(SparseMultivariatePolynomial(R,K))->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(Stream(Coef))->%`dDirichletRing(Coef)``0
ocoerce`1`n`(Stream(R))->%`cSequenceCategory(R)``315403
ocoerce`1`n`(String)->%`dFortranScalarType``315448
ocoerce`1`n`(Symbol)->%`dFortranScalarType``315715
ocoerce`1`n`(Symbol)->%`dJetBundle(IVar,DVar)``315958
ocoerce`1`n`(Symbol)->%`dJetBundleSymAna(JB1,xi,eta)``316112
ocoerce`1`n`(Symbol)->%`dSwitch``316186
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->S`xFunctionSpace2&(S,R,K)``0
ocoerce`1`n`(UnivariatePolynomial('x,Coef))->%`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)``316226
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->%`dUnivariateTaylorSeries(Coef,var,cen)``316364
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->%`dExponentialExpansion(R,FE,var,cen)``316502
ocoerce`1`n`(V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Var)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``316611
ocoerce`1`n`(Variable('x))->%`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(Variable(var))->%`dSparseUnivariateLaurentSeries(Coef,var,cen)``316676
ocoerce`1`n`(Variable(var))->%`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``316765
ocoerce`1`n`(Variable(var))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)``316854
ocoerce`1`n`(Variable(var))->%`dUnivariateLaurentSeries(Coef,var,cen)``316956
ocoerce`1`n`(Variable(var))->%`dUnivariatePuiseuxSeries(Coef,var,cen)``317045
ocoerce`1`n`(Variable(var))->%`dUnivariateTaylorSeries(Coef,var,cen)``317134
ocoerce`1`n`(Variable(x))->%`dUnivariateSkewPolynomial(x,R,sigma,delta)``317236
ocoerce`1`n`(VarSet)->%`dPoincareBirkhoffWittLyndonBasis(VarSet)``317299
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``317339
ocoerce`1`n`(Vector(MachineFloat))->%`cFortranVectorCategory``317511
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``317588
ocoerce`1`n`(XDistributedPolynomial(VAR,F))->%`dFreeDivisionAlgebra(VAR,F)``317729
ocoerce`1`x`(%)->Fraction(Integer)`dBinaryExpansion``317870
ocoerce`1`x`(%)->Fraction(Integer)`dDecimalExpansion``317944
ocoerce`1`x`(%)->Fraction(Integer)`dHexadecimalExpansion``318019
ocoerce`1`x`(%)->Fraction(Integer)`dRadixExpansion(bb)``318098
ocoerce`1`x`(%)->Fraction(R)`dPartialFraction(R)``318172
ocoerce`1`x`(%)->List(Permutation(S))`dPermutationGroup(S)``318274
ocoerce`1`x`(%)->List(S)`dDataList(S)``318345
ocoerce`1`x`(%)->OutputForm`cThreeSpaceCategory(R)``318410
ocoerce`1`x`(%)->OutputForm`dVoid``318495
ocoerce`1`x`(%)->R`dOrdinaryDifferentialRing(Kernels,R,var)``318554
ocoerce`1`x`(%)->RadixExpansion(10)`dDecimalExpansion``318638
ocoerce`1`x`(%)->RadixExpansion(16)`dHexadecimalExpansion``318726
ocoerce`1`x`(%)->RadixExpansion(2)`dBinaryExpansion``318818
ocoerce`1`x`(%)->S`cCoercibleTo(S)``318904
ocoerce`1`x`(%)->String`cFileNameCategory``318970
ocoerce`1`x`(%)->Tree(S)`dPendantTree(S)``319082
ocoerce`1`x`(%)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``319120
ocoerce`1`x`(%)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``319188
ocoerce`1`x`(A)->()->A`pMappingPackage1(A)``319256
ocoerce`1`x`(A)->%`dAssociatedJordanAlgebra(R,A)``319339
ocoerce`1`x`(A)->%`dAssociatedLieAlgebra(R,A)``319501
ocoerce`1`x`(Character)->%`cStringAggregate``319657
ocoerce`1`x`(Col)->%`cMatrixCategory(R,Row,Col)``319748
ocoerce`1`x`(Color)->%`dPalette``319825
ocoerce`1`x`(DirectProduct(dim,R))->%`dCartesianTensor(minix,dim,R)``319929
ocoerce`1`x`(Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``319988
ocoerce`1`x`(Exit)->S`pResolveLatticeCompletion(S)``320073
ocoerce`1`x`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``320230
ocoerce`1`x`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``320681
ocoerce`1`x`(FourierComponent(E))->%`dFourierSeries(R,E)``321133
ocoerce`1`x`(Fraction(Factored(R)))->%`dPartialFraction(R)``321200
ocoerce`1`x`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``321492
ocoerce`1`x`(Fraction(Polynomial(Fraction(R))))->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`321640
ocoerce`1`x`(Fraction(R))->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`321702
ocoerce`1`x`(Integer)->%`cNonAssociativeRing``321764
ocoerce`1`x`(Integer)->%`dOrdSetInts``321844
ocoerce`1`x`(List(%))->%`dCartesianTensor(minix,dim,R)``321914
ocoerce`1`x`(List(DPoly))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``322000
ocoerce`1`x`(List(List(S)))->%`dPermutation(S)``322093
ocoerce`1`x`(List(Permutation(S)))->%`dPermutationGroup(S)``322408
ocoerce`1`x`(List(R))->%`dCartesianTensor(minix,dim,R)``322510
ocoerce`1`x`(List(Record(k:M,c:R)))->%`cMonoidRingCategory(R,M)``322596
ocoerce`1`x`(List(S))->%`dDatabase(S)``322690
ocoerce`1`x`(List(S))->%`dDataList(S)``322745
ocoerce`1`x`(List(S))->%`dPermutation(S)``322802
ocoerce`1`x`(List(S))->%`dStream(S)``323023
ocoerce`1`x`(PiDomain)->Expression(R)`pPiCoercions(R)``323085
ocoerce`1`x`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``323154
ocoerce`1`x`(Polynomial(Coef))->%`dTaylorSeries(Coef)``323280
ocoerce`1`x`(Polynomial(Fraction(R)))->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`323381
ocoerce`1`x`(R)->%`cAlgebra(R)``323443
ocoerce`1`x`(R)->%`cLeftAlgebra(R)``323526
ocoerce`1`x`(R)->%`cXAlgebra(R)``323616
ocoerce`1`x`(R)->%`dFourierSeries(R,E)``323659
ocoerce`1`x`(R)->%`dOrdinaryDifferentialRing(Kernels,R,var)``323725
ocoerce`1`x`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``323810
ocoerce`1`x`(S)->%`cDifferentialVariableCategory(S)``323896
ocoerce`1`x`(S)->Any`pAnyFunctions1(S)``323990
ocoerce`1`x`(S)->None`pNoneFunctions1(S)``324093
ocoerce`1`x`(S)->TexFormat`pTexFormat1(S)``324174
ocoerce`1`x`(S)->Void`pResolveLatticeCompletion(S)``324401
ocoerce`1`x`(Segment(S))->%`dUniversalSegment(S)``324734
ocoerce`1`x`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``324809
ocoerce`1`x`(SparseMultivariatePolynomial(Integer,Kernel(%)))->%`dAlgebraicNumber``324943
ocoerce`1`x`(SparseMultivariatePolynomial(R,K))->%`cFunctionSpace2(R,K)`has(R,Ring)`325015
ocoerce`1`x`(SquareMatrix(dim,R))->%`dCartesianTensor(minix,dim,R)``325077
ocoerce`1`x`(String)->%`cFileNameCategory``325136
ocoerce`1`x`(String)->%`dSymbol``325246
ocoerce`1`x`(Symbol)->%`dOpenMathErrorKind``325312
ocoerce`1`x`(Symbol)->%`dTaylorSeries(Coef)``325538
ocoerce`1`x`(ULS)->%`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``325601
ocoerce`1`x`(UnivariatePuiseuxSeries(Coef,var,cen))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)``325689
ocoerce`1`x`(UTS)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``325766
ocoerce`1`x`(Variable(var))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)``325853
ocoerce`1`x`(Variable(x))->%`dUnivariatePolynomial(x,R)``325942
ocoerce`1`x`(VarSet)->%`cFreeLieAlgebra(VarSet,R)``326025
ocoerce`1`x`(Vector(R))->%`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``326087
ocoerce`1`x`(vl)->%`cXFreeAlgebra(vl,R)``326294
ocoerceImages`1`x`(List(S))->%`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`326336
ocoerceImages`1`x`(List(S))->%`dPermutation(S)`has(S,IntegerNumberSystem)`326647
ocoerceL`1`n`(OutputForm)->String`dHTMLFormat``326958
ocoerceL`1`n`(OutputForm)->String`dMathMLFormat``327085
ocoerceL`1`n`(OutputForm)->String`dTexmacsFormat``327214
ocoerceListOfPairs`1`x`(List(List(S)))->%`dPermutation(S)``327344
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``327636
ocoercePreimagesImages`1`x`(List(List(S)))->%`dPermutation(S)``327769
ocoerceS`1`n`(OutputForm)->String`dHTMLFormat``327983
ocoerceS`1`n`(OutputForm)->String`dMathMLFormat``328101
ocoerceToType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``328221
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`x`(%)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`328296
ocoHomology`1`n`(%)->List(Homology)`dCoChainComplex(VS)``328367
ocoHomology`1`n`(%)->List(Homology)`dDeltaComplex(VS)``328415
ocoHomology`1`n`(%)->List(Homology)`dFiniteSimplicialComplex(VS)``328465
ocoleman`3`x`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``328617
ocolinearity`2`n`(%,%)->DoubleFloat`cSPointCategory``329402
ocolinearity`2`n`(S,S)->DoubleFloat`xSPointCategory&(S)``0
ocollect`1`n`(%)->%`dJetLazyFunction(JB,D)``329622
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`x`(%,VarSet)->%`cPolynomialSetCategory(R,E,VarSet,P)``329715
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`x`(%)->%`cTriangularSetCategory(R,E,V,P)``329835
ocollectUnder`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUnder`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUnder`2`x`(%,VarSet)->%`cPolynomialSetCategory(R,E,VarSet,P)``329959
ocollectUpper`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUpper`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUpper`2`x`(%,VarSet)->%`cPolynomialSetCategory(R,E,VarSet,P)``330091
ocolor`1`n`(Point(R))->R`pPointPackage(R)``330226
ocolor`1`x`(Integer)->%`dColor``330533
ocolorDef`3`x`(%,Color,Color)->Void`dThreeDimensionalViewport``330603
ocolorFunction`1`x`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->%`dDrawOption``330908
ocolorFunction`1`x`((DoubleFloat,DoubleFloat)->DoubleFloat)->%`dDrawOption``331132
ocolorFunction`1`x`((DoubleFloat)->DoubleFloat)->%`dDrawOption``331342
ocolSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolSlice`1`x`(%)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``331525
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`x`(%,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``331668
ocolumn`2`x`(%,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``331798
ocolumnMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``331921
ocolumns`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``332038
ocolumns`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``332140
ocolumnSpace`1`n`(Matrix(R))->%`dVectorSpaceBasis(R)``332242
ocolumnSpace`1`n`(S)->List(Col)`xMatrixCategory&(S,R,Row,Col)``0
ocolumnSpace`1`x`(%)->List(Col)`cMatrixOperationsCategory(R,Row,Col)`has(R,EuclideanDomain)`332467
ocolumnSpan`1`n`(%)->Stream(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``332585
ocommaSeparate`1`n`(List(%))->%`dOutputForm``332750
ocomment`1`n`(List(String))->%`dFortranCode``332845
ocomment`1`n`(String)->%`dFortranCode``332952
ocommon`2`n`(Symbol,List(Symbol))->%`dFortranCode``333054
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``333138
ocommonDenominator`1`n`(P)->R`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``333254
ocommonDenominator`1`x`(A)->R`pCommonDenominator(R,Q,A)``333361
ocommonDenominator`1`x`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``333477
ocommonDenominator`1`x`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``333580
ocommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``333664
ocommutator`2`n`(%,%)->%`dJetVectorField(JB,D)``333748
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`x`(%,%)->%`cGroup``333827
ocommutator`2`x`(%,%)->%`cNonAssociativeRng``333899
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``333954
ocompactFraction`1`x`(%)->%`dPartialFraction(R)``334000
ocompanionBlocks`2`n`(Matrix(K),List(Vector(K)))->List(Record(C:Matrix(K),lg:List(Vector(K))))`pPseudoLinearNormalForm(K)``334199
ocomparison`2`x`(%,(%,%)->Boolean)->%`dBasicOperator``334370
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``334629
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)))->Integer`pMultivariateSquareFree(E,OV,R,P)``334870
ocompile`2`n`(Symbol,List(%))->Symbol`dInputForm``334909
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``335232
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``335423
ocomplement`1`n`(%)->%`dSubsetLattice(S,top)``335633
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`x`(%)->%`cFiniteSetAggregate(S)`has(S,Finite)`335658
ocomplement`2`n`(%,List(S))->%`dSubsetLattice(S,top)``335787
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`x`(Vector(%))->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``335812
ocomplementSpace`1`n`(%)->%`dVectorSpaceBasis(R)``335938
ocomplementSpace`1`n`(List(Vector(R)))->%`dVectorSpaceBasis(R)``336102
ocomplementSpace`2`n`(%,NonNegativeInteger)->%`dVectorSpaceBasis(R)``336261
ocomplementSpace`2`n`(List(Vector(R)),NonNegativeInteger)->%`dVectorSpaceBasis(R)``336484
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`n`(JetDifferentialEquation(JB,D))->Void`pCartanKuranishi(JB,D)``336693
ocomplete`1`x`(%)->%`cLazyStreamAggregate(S)``336871
ocomplete`1`x`(%)->%`cPAdicIntegerCategory(p)``337018
ocomplete`1`x`(%)->%`cPowerSeriesCategory(Coef,Expon,Var)``337082
ocomplete`1`x`(%)->%`dContinuedFraction(R)``337231
ocomplete`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``337462
ocomplete2`1`n`(JetDifferentialEquation(JB,D))->Record(IDe:JetDifferentialEquation(JB,D),ISys:List(D),Order:NonNegativeInteger,NumProj:NonNegativeInteger,Dim:NonNegativeInteger,CarChar:List(NonNegativeInteger))`pCartanKuranishi(JB,D)``337701
ocompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`337987
ocompleteEchelonBasis`1`x`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``338194
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``338587
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``338856
ocompleteHermite`1`x`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``339056
ocompletelyOrderedSet`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``339225
ocompleteSmith`1`x`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``339267
ocompleteSmith`2`n`(Matrix(Integer),(Matrix(Integer))->Record(Smith:Matrix(Integer),leftEqMat:Matrix(Integer),rightEqMat:Matrix(Integer)))->Record(Smith:Matrix(Integer),leftEqMat:Matrix(Integer),rightEqMat:Matrix(Integer))`pIntegerSmithNormalForm``339464
ocomplex_curve`1`x`(VT)->%`dParametricComplexCurve(VT)``0
ocomplex_roots`1`n`(SparseUnivariatePolynomial(F))->Union(Record(reals:List(F),complexes:List(Record(real:F,imag:F))),"failed")`pRootUtilities(R,F)``339677
ocomplex?`1`n`(%)->Boolean`dFortranScalarType``339827
ocomplex`2`x`(R,R)->%`cComplexCategory(R)``339919
ocomplexEigenvalues`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``339976
ocomplexEigenvectors`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``340209
ocomplexElementary`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``340548
ocomplexElementary`1`x`(F)->F`pTrigonometricManipulations(R,F)``340693
ocomplexElementary`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``340838
ocomplexElementary`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``341020
ocomplexExpand`1`x`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``341202
ocomplexExpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``341298
ocomplexForm`1`x`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``341394
ocomplexForm`1`x`(F)->Complex(F)`pTrigonometricManipulations(R,F)``341456
ocomplexIntegrate`2`x`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``341518
ocomplexIntegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`341641
ocomplexLimit`2`x`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``341764
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``341857
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``341982
ocomplexNormalize`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``342107
ocomplexNormalize`1`x`(F)->F`pTrigonometricManipulations(R,F)``342223
ocomplexNormalize`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``342339
ocomplexNormalize`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``342477
ocomplexNumeric`1`x`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`342615
ocomplexNumeric`1`x`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`342692
ocomplexNumeric`1`x`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`342769
ocomplexNumeric`1`x`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`342846
ocomplexNumeric`1`x`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`342923
ocomplexNumeric`1`x`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`343000
ocomplexNumeric`1`x`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`343077
ocomplexNumeric`1`x`(S)->Complex(Float)`pNumeric(S)``343154
ocomplexNumeric`2`x`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`343231
ocomplexNumeric`2`x`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`343341
ocomplexNumeric`2`x`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`343451
ocomplexNumeric`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`343561
ocomplexNumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`343671
ocomplexNumeric`2`x`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`343750
ocomplexNumeric`2`x`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`343860
ocomplexNumeric`2`x`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``343970
ocomplexNumericIfCan`1`x`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`344080
ocomplexNumericIfCan`1`x`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`344205
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`344330
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`344455
ocomplexNumericIfCan`1`x`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`344580
ocomplexNumericIfCan`1`x`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`344703
ocomplexNumericIfCan`2`x`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`344828
ocomplexNumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`344986
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`345144
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`345302
ocomplexNumericIfCan`2`x`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`345430
ocomplexNumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`345588
ocomplexRoots`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``345746
ocomplexRoots`3`x`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``345928
ocomplexSolve`2`x`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``346239
ocomplexSolve`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``346460
ocomplexSolve`2`x`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``346673
ocomplexSolve`2`x`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``346900
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``347116
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``347315
ocomplexZeros`2`x`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``347448
ocomponent`2`n`(%,Point(DoubleFloat))->Void`dGraphImage``347653
ocomponent`5`n`(%,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``347980
ocomponent`5`n`(%,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``348460
ocomponents`1`x`(%)->List(%)`cThreeSpaceCategory(R)``348797
ocompose`2`n`(Stream(M),Stream(R))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)`has(M,RightModule(R))`349034
ocomposite`1`x`(List(%))->%`cThreeSpaceCategory(R)``349129
ocomposite`2`n`(Fraction(S),S)->Union(Fraction(S),"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`n`(S,S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`x`(%,%)->Union(%,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`349329
ocomposite`2`x`(Fraction(%),%)->Union(Fraction(%),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`349437
ocomposites`1`x`(%)->List(%)`cThreeSpaceCategory(R)``349559
ocompound`2`n`(%,%)->%`dSTransform(PT)``349904
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``349960
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``350196
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``350375
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``350542
oconcat!`1`n`(List(A))->A`xStreamAggregate&(A,S)``0
oconcat!`1`n`(List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat!`1`x`(List(%))->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`350936
oconcat!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat!`2`x`(%,%)->%`cDoublyLinkedAggregate(S)`has(%,shallowlyMutable)`351232
oconcat!`2`x`(%,%)->%`cExtensibleLinearAggregate(S)``351368
oconcat!`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`351473
oconcat!`2`x`(%,S)->%`cExtensibleLinearAggregate(S)``351561
oconcat!`2`x`(%,S)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`351649
oconcat`1`n`(List(A))->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xStreamAggregate&(A,S)``0
oconcat`1`x`(List(%))->%`cLinearAggregate(S)``351783
oconcat`1`x`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``352078
oconcat`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`x`(%,%)->%`cLinearAggregate(S)``352214
oconcat`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)``352469
oconcat`2`x`(%,S)->%`cLinearAggregate(S)``352634
oconcat`2`x`(S,%)->%`cLinearAggregate(S)``352788
oconcat`2`x`(S,%)->%`cUnaryRecursiveAggregate(S)``352944
ocond`2`n`(Switch,%)->%`dFortranCode``353130
ocond`3`n`(Switch,%,%)->%`dFortranCode``353235
ocondition`1`n`(%)->C`dSplittingNode(V,C)``353357
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xFiniteFieldCategory&(S)``0
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oconditionP`1`x`(Matrix(%))->Union(Vector(%),"failed")`cPolynomialFactorizationExplicit`has(%,CharacteristicNonZero)`353428
oconditions`1`n`(%)->List(C)`dSplittingTree(V,C)``353692
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`353774
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``353950
oconditionsForIdempotents`0`x`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``354127
oconditionsForIdempotents`1`n`(Vector(%))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`354304
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`x`(Vector(%))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``354513
ocone`2`n`(%,NonNegativeInteger)->%`dFiniteSimplicialComplex(VS)``354723
oconical`2`x`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``354946
oconj`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``355272
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjug`1`x`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`355436
oconjugate`1`n`(%)->%`dPartition``355492
oconjugate`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``355575
oconjugate`1`n`(S)->S`xComplexCategory&(S,R)``0
oconjugate`1`n`(S)->S`xOctonionCategory&(S,R)``0
oconjugate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oconjugate`1`x`(%)->%`cComplexCategory(R)``355660
oconjugate`1`x`(%)->%`cOctonionCategory(R)``355735
oconjugate`1`x`(%)->%`cQuaternionCategory(R)``355881
oconjugate`1`x`(%)->%`cSpecialFunctionCategory``355960
oconjugate`1`x`(List(Integer))->List(Integer)`pPartitionsAndPermutations``356022
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`x`(%,%)->%`cGroup``356095
oconjugates`1`x`(Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``356196
oconnect`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``356304
ocons`2`n`(R,%)->%`cSequenceCategory(R)``356576
ocons`2`x`(S,%)->%`dList(S)``356642
ocons`2`x`(S,%)->%`dStream(S)``356811
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``356959
oconsRow!`2`n`(%,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``357000
oconst?`1`n`(%)->Boolean`cJetBundleFunctionCategory(JB)``357089
oconst?`1`n`(S)->Boolean`xJetBundleFunctionCategory&(S,JB)``0
oconst`1`n`(%)->R`dDistributedJetBundlePolynomial(R,JB,LJV,E)``357163
oconst`1`x`(C)->(A)->C`pMappingPackage2(A,C)``357294
oconstant_subspace`2`n`(List(Vector(F)),List((F)->F))->Record(transform:Matrix(F),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``357398
oconstant?`1`n`(%)->Boolean`dPattern(R)``357782
oconstant?`1`n`(%)->Boolean`dXPolynomialRing(R,E)``357859
oconstant?`1`x`(%)->Boolean`cXFreeAlgebra(vl,R)``357957
oconstant`1`n`(%)->R`dXPolynomialRing(R,E)``358029
oconstant`1`x`(()->C)->(A)->C`pMappingPackage2(A,C)``358093
oconstant`1`x`(%)->R`cXFreeAlgebra(vl,R)``358186
oconstant`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``358251
oconstant`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``358415
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``358543
oconstantIfCan`1`x`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``358983
oconstantKernel`1`x`(R)->Kernel(S)`pKernelFunctions2(R,S)``359028
oconstantLeft`1`x`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``359074
oconstantOperator`1`x`(A)->BasicOperator`pBasicOperatorFunctions1(A)``359175
oconstantOpIfCan`1`x`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``359290
oconstantRight`1`x`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``359434
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``359536
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``359758
oconstruct`1`n`(List(List(List(R))))->%`dThreeDimensionalMatrix(R)``359986
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(k:S,c:A)))->%`cIndexedProductCategory(A,S)``360085
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->%`dPatternMatchResult(R,S)``360242
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(%)`dSplittingNode(V,C)``360385
oconstruct`1`n`(List(S))->A`xBagAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
oconstruct`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xLazyStreamAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconstruct`1`n`(Record(val:V,tower:C))->%`dSplittingNode(V,C)``360485
oconstruct`1`n`(SplittingNode(V,C))->%`dSplittingTree(V,C)``360568
oconstruct`1`x`(%)->Stream(S)`dInfiniteTuple(S)``360864
oconstruct`1`x`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->%`dFullPartialFractionExpansion(F,UP)``360931
oconstruct`1`x`(List(S))->%`cCollection(S)``360986
oconstruct`2`n`(%,LyndonWord(VarSet))->%`dLiePolynomial(VarSet,R)``361227
oconstruct`2`n`(A,B)->%`dProduct(A,B)``361296
oconstruct`2`n`(IS,E)->%`dModuleMonomial(IS,E,ff)``361389
oconstruct`2`n`(LyndonWord(VarSet),%)->%`dLiePolynomial(VarSet,R)``361433
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->%`dLiePolynomial(VarSet,R)``361502
oconstruct`2`n`(OutputForm,List(OutputForm))->OutputForm`pOutputFormTools``361571
oconstruct`2`n`(S1,S2)->%`dSuchThat(S1,S2)``361663
oconstruct`2`n`(V,C)->%`dSplittingNode(V,C)``361725
oconstruct`2`n`(V,List(C))->List(%)`dSplittingNode(V,C)``361805
oconstruct`2`x`(%,%)->%`cLieAlgebra(R)``361893
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->%`dFortranType``361973
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->%`dFortranType``362043
oconstruct`3`n`(V,C,Boolean)->%`dSplittingNode(V,C)``362113
oconstruct`3`n`(V,C,List(%))->%`dSplittingTree(V,C)``362231
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->%`dSplittingTree(V,C)``362396
oconstruct`4`n`(V,C,V,List(C))->%`dSplittingTree(V,C)``362586
oconstruct`4`x`(Sequence(R),Sequence(R),Sequence(R),Sequence(R))->%`dDistribution(R)``362789
oconstructor_documentation`1`n`(Symbol)->String`pBrowserInformation``363074
oconstructor_form`1`n`(Symbol)->SExpression`pBrowserInformation``363232
oconstructor_kind`1`n`(Symbol)->Symbol`pBrowserInformation``363402
oconstructor_name?`1`n`(Symbol)->Boolean`pBrowserInformation``363502
oconstructor_signature`2`n`(Symbol,List(SExpression))->SExpression`pBrowserInformation``363616
oconstructOrdered`1`n`(List(Record(k:S,c:A)))->%`cIndexedProductCategory(A,S)`has(S,Comparable)`363770
ocontains?`2`n`(%,%)->Boolean`cAIntervalCategory(R)``364187
ocontains?`2`n`(%,R)->Boolean`cAIntervalCategory(R)``364315
ocontains?`2`n`(S,R)->Boolean`xAIntervalCategory&(S,R)``0
ocontains?`2`n`(S,S)->Boolean`xAIntervalCategory&(S,R)``0
ocontainsPoint?`2`n`(%,PT)->Boolean`dSBoundary(PT)``364420
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``364573
ocontent`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
ocontent`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
ocontent`1`n`(S)->R`xUnivariateSkewPolynomialCategory&(S,R)``0
ocontent`1`x`(%)->R`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`364655
ocontent`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocontent`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`2`x`(%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`364745
ocontinue`1`n`(SingleInteger)->%`dFortranCode``365037
ocontinuedFraction`1`n`(%)->ContinuedFraction(Fraction(Integer))`dBalancedPAdicRational(p)``0
ocontinuedFraction`1`n`(%)->ContinuedFraction(Fraction(Integer))`dPAdicRational(p)``0
ocontinuedFraction`1`n`(%)->ContinuedFraction(Fraction(Integer))`dPAdicRationalConstructor(p,PADIC)``365133
ocontinuedFraction`1`x`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``365245
ocontinuedFraction`1`x`(Fraction(R))->%`dContinuedFraction(R)``365357
ocontinuedFraction`3`x`(R,Stream(R),Stream(R))->%`dContinuedFraction(R)``365495
ocontraAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``365727
ocontraAdjoint`2`n`(%,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``365843
ocontract`2`n`(JetVectorField(JB,D),%)->D`dJetDifferential(JB,D)``365959
ocontract`2`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))),List(OrderedVariableList(vl)))->PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl)``366061
ocontract`3`x`(%,Integer,Integer)->%`dCartesianTensor(minix,dim,R)``366161
ocontract`4`x`(%,Integer,%,Integer)->%`dCartesianTensor(minix,dim,R)``366500
ocontractSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``366940
ocontractSolve`2`x`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``367212
ocontrolPanel`2`n`(%,String)->Void`dTwoDimensionalViewport``367506
ocontrolPanel`2`x`(%,String)->Void`dThreeDimensionalViewport``367739
oconvergents`1`x`(%)->Stream(Fraction(R))`dContinuedFraction(R)``367976
oconvert_mr`3`n`(Record(mantissa:Integer,exponent:Integer),Integer,Record(default?:Boolean,trim_trailing_zeros?:Boolean,out_mode:String,spacing:Integer,separator:Character))->String`pFloatingPointConvertion``368148
oconvert_pattern`1`n`(String)->Union(SExpression,ErrorIndicator)`pBrowserInformation``368227
oconvert_to_decimal`2`n`(Record(mantissa:Integer,exponent:Integer),Integer)->Record(mantissa:Integer,exponent:Integer)`pFloatingPointConvertion``368338
oconvert`1`n`(%)->JetBundlePolynomial(R,JB)`dDistributedJetBundlePolynomial(R,JB,LJV,E)``368449
oconvert`1`n`(%)->Symbol`dSingletonAsOrderedSet``0
oconvert`1`n`(%)->Vector(R)`cFramedModule(R)``368583
oconvert`1`n`(A)->DoubleFloat`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Float`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->InputForm`xCollection&(A,S)``0
oconvert`1`n`(A)->InputForm`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Float)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Integer)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(CS)->Pattern(R)`pComplexPattern(R,S,CS)``368693
oconvert`1`n`(Factored(S))->S`xFunctionSpace2&(S,R,K)``0
oconvert`1`n`(JetBundlePolynomial(R,JB))->%`dDistributedJetBundlePolynomial(R,JB,LJV,E)``368774
oconvert`1`n`(LinearOrdinaryDifferentialOperator1(R))->LinearOrdinaryDifferentialOperator3(Coeff,Ab,R)`pLODOConvertions(Coeff,Ab,R)``368908
oconvert`1`n`(LinearOrdinaryDifferentialOperator3(Coeff,Ab,R))->LinearOrdinaryDifferentialOperator1(R)`pLODOConvertions(Coeff,Ab,R)``369191
oconvert`1`n`(List(%))->%`dPattern(R)``369474
oconvert`1`n`(List(P))->%`dGeneralPolynomialSet(R,E,VarSet,P)``369553
oconvert`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->%`cConvertibleFrom(S)``369654
oconvert`1`n`(S)->Complex(DoubleFloat)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Complex(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->DoubleFloat`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->DoubleFloat`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->Float`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Float`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->InputForm`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xFinite&(S)``0
oconvert`1`n`(S)->InputForm`xFramedModule&(S,R)``0
oconvert`1`n`(S)->InputForm`xFunctionSpace2&(S,R,K)``0
oconvert`1`n`(S)->InputForm`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->InputForm`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->InputForm`xOctonionCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->InputForm`xQuaternionCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Integer`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Float)`xFunctionSpace2&(S,R,K)``0
oconvert`1`n`(S)->Pattern(Float)`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->Pattern(Float)`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Float)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Pattern(Integer)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Integer)`xFunctionSpace2&(S,R,K)``0
oconvert`1`n`(S)->Pattern(Integer)`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->Pattern(Integer)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Polynomial(R)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Vector(R)`xFramedModule&(S,R)``0
oconvert`1`n`(S)->Vector(R)`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->Vector(R)`xOctonionCategory&(S,R)``0
oconvert`1`n`(SExpression)->%`dInputForm``369715
oconvert`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->%`cFramedModule(R)``369775
oconvert`1`n`(Vector(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(Vector(R))->S`xFramedModule&(S,R)``0
oconvert`1`n`(Vector(R))->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xOctonionCategory&(S,R)``0
oconvert`1`x`(%)->S`cConvertibleTo(S)``369916
oconvert`1`x`(DoubleFloat)->%`dFloat``369983
oconvert`1`x`(Factored(%))->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`370074
oconvert`1`x`(Flt)->%`cSExpressionCategory(Str,Sym,Int,Flt)``370248
oconvert`1`x`(Int)->%`cSExpressionCategory(Str,Sym,Int,Flt)``370305
oconvert`1`x`(List(%))->%`cSExpressionCategory(Str,Sym,Int,Flt)``370362
oconvert`1`x`(List(R))->%`cPointCategory(R)``370453
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``370575
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``370619
oconvert`1`x`(Polynomial(Fraction(Integer)))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`370663
oconvert`1`x`(Polynomial(Integer))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`370727
oconvert`1`x`(Polynomial(R))->%`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`370791
oconvert`1`x`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``370855
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(S)->%`cSegmentCategory(S)``370899
oconvert`1`x`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``370957
oconvert`1`x`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``371001
oconvert`1`x`(SquareMatrix(n,R))->%`dLieSquareMatrix(n,R)``371061
oconvert`1`x`(Str)->%`cSExpressionCategory(Str,Sym,Int,Flt)``371113
oconvert`1`x`(Sym)->%`cSExpressionCategory(Str,Sym,Int,Flt)``371170
oconvert`1`x`(Symbol)->%`dRomanNumeral``371227
oconvert`1`x`(UP)->%`cMonogenicAlgebra(R,UP)``371297
oconvert`2`n`(List(S),List(FreeGroup(S)))->GroupPresentation`pGroupPresentationFunctions1(S)``371449
oconvert`2`n`(OutputForm,Integer)->%`cOutputFormatterCategory``371572
oconvert`2`n`(OutputForm,Integer)->%`dTexFormat``371699
oconvert`3`n`(OutputForm,Integer,OutputForm)->%`dTexFormat``371963
ocoord`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->%`dDrawOption``372256
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``372388
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``372422
ocoordinate`2`x`(%,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``372619
ocoordinate`2`x`(%,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``372833
ocoordinate`2`x`(%,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``373048
ocoordinates`1`n`(%)->Vector(R)`cFramedModule(R)``373259
ocoordinates`1`n`(S)->Vector(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedModule&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xOctonionCategory&(S,R)``0
ocoordinates`1`n`(Vector(%))->Matrix(R)`cFramedModule(R)``373373
ocoordinates`1`n`(Vector(S))->Matrix(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedModule&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xOctonionCategory&(S,R)``0
ocoordinates`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->%`dDrawOption``373603
ocoordinates`2`n`(S,Vector(S))->Vector(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xOctonionCategory&(S,R)``0
ocoordinates`2`n`(Vector(R),%)->Vector(R)`dVectorSpaceBasis(R)``373754
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xOctonionCategory&(S,R)``0
ocoordinates`2`x`(%,Vector(%))->Vector(R)`cFiniteRankAlgebra(R,UP)``373901
ocoordinates`2`x`(%,Vector(%))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``374013
ocoordinates`2`x`(Matrix(R),List(Matrix(R)))->Vector(R)`pStructuralConstantsPackage(R)``374162
ocoordinates`2`x`(Vector(%),Vector(%))->Matrix(R)`cFiniteRankAlgebra(R,UP)``374311
ocoordinates`2`x`(Vector(%),Vector(%))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``374555
ocoordinatesIfCan`2`n`(Vector(R),%)->Union(Vector(R),"failed")`dVectorSpaceBasis(R)``374768
ocopies`2`x`(Integer,String)->String`pDisplayPackage``374926
ocoproduct`1`x`(%)->MxM`cCoalgebra(R,MxM)``375046
ocopy_first`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``375119
ocopy_mat_part`2`n`(MMT,Integer)->MMT`cModularFactorizationOperations(PA,MMT,MD,PMD)``375243
ocopy_mat_part`3`n`(U32Matrix,Integer,Integer)->U32Matrix`pModularU32MatrixOperations``375362
ocopy_poly`3`n`(PA,Integer,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``375468
ocopy_slice`4`n`(U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``375670
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``375841
ocopy`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``375985
ocopy`1`n`(%)->%`dJetDifferential(JB,D)``376045
ocopy`1`n`(%)->%`dJetDifferentialEquation(JB,D)``376114
ocopy`1`n`(%)->%`dJetVectorField(JB,D)``376179
ocopy`1`n`(%)->%`dLinearMultivariateMatrixPencil(R)``376246
ocopy`1`n`(%)->%`dPattern(R)``376314
ocopy`1`n`(%)->%`dSparseEchelonMatrix(C,D)``376374
ocopy`1`n`(%)->%`dSplittingNode(V,C)``376435
ocopy`1`n`(%)->%`dSubSpaceComponentProperty``376485
ocopy`1`n`(A)->A`xBinaryTreeCategory&(A,S)``0
ocopy`1`n`(A)->A`xDictionaryOperations&(A,S)``0
ocopy`1`n`(A)->A`xListAggregate&(A,S)``0
ocopy`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopy`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ocopy`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocopy`1`x`(%)->%`cAggregate``376521
ocopy`1`x`(%)->%`cIntegerNumberSystem``376653
ocopy`1`x`(%)->%`cThreeSpaceCategory(R)``376701
ocopy`1`x`(%)->%`dBasicOperator``376794
ocopy`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``376846
ocopyInto!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
ocopyInto!`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopyInto!`3`x`(%,%,Integer)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(%,shallowlyMutable))`376929
ocorrPoly`6`n`(SparseUnivariatePolynomial(P),List(OV),List(R),List(NonNegativeInteger),List(SparseUnivariatePolynomial(P)),(SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed"))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``377049
ocos`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``377488
ocos`1`n`(E)->%`dFourierComponent(E)``377555
ocos`1`n`(F)->F`pElementaryFunction(R,F)``377621
ocos`1`n`(S)->S`xComplexCategory&(S,R)``0
ocos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``377682
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``377749
ocos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``377816
ocos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``377884
ocos`1`x`(%)->%`cTrigonometricFunctionCategory``377954
ocos2sec`1`x`(F)->F`pTranscendentalManipulations(R,F)``378007
ocosh`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``378105
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``378174
ocosh`1`n`(S)->S`xComplexCategory&(S,R)``0
ocosh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``378247
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``378330
ocosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``378413
ocosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``378493
ocosh`1`x`(%)->%`cHyperbolicFunctionCategory``378575
ocosh2sech`1`x`(F)->F`pTranscendentalManipulations(R,F)``378640
ocoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``378742
ocosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``378829
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``378914
ocot`1`n`(F)->F`pElementaryFunction(R,F)``379150
ocot`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``379214
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``379284
ocot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``379354
ocot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``379425
ocot`1`x`(%)->%`cTrigonometricFunctionCategory``379498
ocot2tan`1`x`(F)->F`pTranscendentalManipulations(R,F)``379554
ocot2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``379652
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``379756
ocoth`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``379832
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``379918
ocoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``380004
ocoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``380087
ocoth`1`x`(%)->%`cHyperbolicFunctionCategory``380172
ocoth2tanh`1`x`(F)->F`pTranscendentalManipulations(R,F)``380240
ocoth2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``380342
ocothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``380451
ocotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``380538
ocounit`1`x`(%)->R`cCoalgebra(R,MxM)``380623
ocount`2`n`((Entry)->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((R)->Boolean,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`n`(Entry,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(R,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`(Record(key:Key,entry:Entry),S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(S,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`x`((S)->Boolean,%)->NonNegativeInteger`cHomogeneousAggregate(S)`has(%,finiteAggregate)`380691
ocount`2`x`(S,%)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`380882
ocountable?`1`x`(%)->Boolean`dCardinalNumber``381043
ocountRealRoots`1`x`(UP)->Integer`pSturmHabichtPackage(R,UP)``381179
ocountRealRootsMultiple`1`x`(UP)->Integer`pSturmHabichtPackage(R,UP)`has(R,GcdDomain)`381249
ocoverMatrix`1`n`(%)->IncidenceAlgebra(Integer,S)`cPoset(S)``381354
ocoverMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ocPower`2`n`(%,Coef)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`381747
ocRationalPower`2`n`(%,Fraction(Integer))->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`381888
ocreate`0`n`()->%`dSingletonAsOrderedSet``381994
ocreate3Space`0`x`()->%`cThreeSpaceCategory(R)``382056
ocreate3Space`1`x`(SubSpace(3,R))->%`cThreeSpaceCategory(R)``382194
ocreateArrows2Din2D`4`n`((PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``382336
ocreateGenericMatrix`1`x`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``382564
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``382762
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``382923
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``383266
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``383472
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``383592
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`x`()->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`383883
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``384146
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``384280
ocreatePlot1Din2D`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``384503
ocreatePlot1Din2D`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``384732
ocreatePlot1Din2Dparametric`3`n`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``384962
ocreatePlot1Din3Dparametric`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``385553
ocreatePlot1Din3Dparametric`3`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``385965
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``386547
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``386959
ocreatePlot2Din3Dparametric`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``387157
ocreatePlot2Din3Dparametric`4`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->%`dScene(PT)``387600
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`x`()->%`cFiniteFieldCategory``388151
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``388262
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``388412
ocreateRandomElement`2`x`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``388552
ocreateSceneArrow`5`n`(String,String,PT,Symbol,DoubleFloat)->%`dScene(PT)``388662
ocreateSceneArrow`6`n`(%,%,PT,Symbol,DoubleFloat,DoubleFloat)->%`dScene(PT)``389585
ocreateSceneArrows`3`n`(List(List(PT)),Symbol,DoubleFloat)->%`dScene(PT)``390866
ocreateSceneBox`1`n`(DoubleFloat)->%`dScene(PT)``391764
ocreateSceneClip`1`n`(SBoundary(PT))->%`dScene(PT)``391876
ocreateSceneDef`2`n`(String,%)->%`dScene(PT)``392006
ocreateSceneGraph`4`n`(DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->%`dScene(PT)``392113
ocreateSceneGrid`1`n`(SBoundary(PT))->%`dScene(PT)``392199
ocreateSceneGrid`2`n`(DoubleFloat,SBoundary(PT))->%`dScene(PT)``392352
ocreateSceneGroup`0`n`()->%`dScene(PT)``392527
ocreateSceneIFS`1`n`(SceneIFS(PT))->%`dScene(PT)``392648
ocreateSceneIFS`2`n`(List(List(NonNegativeInteger)),List(PT))->%`dScene(PT)``392806
ocreateSceneLine`1`n`(List(PT))->%`dScene(PT)``392969
ocreateSceneLine`3`n`(%,%,DoubleFloat)->%`dScene(PT)``393231
ocreateSceneLine`4`n`(%,%,DoubleFloat,Boolean)->%`dScene(PT)``393839
ocreateSceneLines`1`n`(List(List(PT)))->%`dScene(PT)``394569
ocreateSceneMaterial`1`n`(Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->%`dScene(PT)``394824
ocreateSceneMaterial`3`n`(DoubleFloat,String,String)->%`dScene(PT)``395195
ocreateSceneNamedPoints`1`n`(SceneNamedPoints(PT))->%`dScene(PT)``395516
ocreateScenePattern`3`n`(Symbol,NonNegativeInteger,SBoundary(PT))->%`dScene(PT)``395682
ocreateSceneRoot`0`n`()->%`dScene(PT)``396211
ocreateSceneRoot`1`n`(SBoundary(PT))->%`dScene(PT)``396335
ocreateSceneRoot`4`n`(Integer,Integer,Integer,Integer)->%`dScene(PT)``396461
ocreateSceneRuler`3`n`(Symbol,PT,SBoundary(PT))->%`dScene(PT)``396607
ocreateSceneShape`1`n`(Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->%`dScene(PT)``396854
ocreateSceneShape`1`n`(SBoundary(PT))->%`dScene(PT)``396988
ocreateSceneText`1`n`(Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->%`dScene(PT)``397138
ocreateSceneText`3`n`(List(String),NonNegativeInteger,PT)->%`dScene(PT)``397284
ocreateSceneText`3`n`(String,NonNegativeInteger,PT)->%`dScene(PT)``397392
ocreateSceneTransform`1`n`(STransform(PT))->%`dScene(PT)``397531
ocreateSceneUse`1`n`(String)->%`dScene(PT)``397763
ocreateThreeSpace`0`x`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``397835
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``397990
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``398116
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``398242
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``398379
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``398516
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``398653
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``398790
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``399208
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``399244
ocritBonD`2`n`(Dpol,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``399278
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``399315
ocritMonD1`2`n`(Expon,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``399349
ocritMTonD1`1`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``399387
ocritpOrder`2`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``399426
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,Dpol)``399465
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``399499
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`x`(%,%)->%`cPointCategory(R)``399718
ocross`2`x`(%,%)->%`cVectorCategory(R)`has(R,Ring)`399869
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``400003
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``400212
ocsc`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``400275
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``400344
ocsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``400413
ocsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``400483
ocsc`1`x`(%)->%`cTrigonometricFunctionCategory``400555
ocsc2sin`1`x`(F)->F`pTranscendentalManipulations(R,F)``400610
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``400708
ocsch`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``400783
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``400868
ocsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``400953
ocsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``401035
ocsch`1`x`(%)->%`cHyperbolicFunctionCategory``401119
ocsch2sinh`1`x`(F)->F`pTranscendentalManipulations(R,F)``401186
ocschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``401288
ocscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``401375
ocSec`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`401467
ocSech`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`401589
ocSin`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`401723
ocSinh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`401843
ocsolve_pol`2`n`((Matrix(F))->List(Vector(Q)),List(UP))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``401975
ocsolve_rf`2`n`((Matrix(F))->List(Vector(Q)),List(Fraction(UP)))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``402082
ocsolve_rmat`2`n`((Matrix(F))->List(Vector(Q)),Matrix(Fraction(UP)))->List(Vector(Q))`pLiftLinearDependence(F,Q,UP)``402196
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``402312
ocTan`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`402364
ocTanh`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`402487
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``402622
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``402659
ocubicalComplex`1`n`(List(VS))->%`dFiniteCubicalComplex(VS)``402705
ocubicalComplex`2`n`(List(VS),List(CubicalFacet))->%`dFiniteCubicalComplex(VS)``402744
ocubicalComplex`2`n`(List(VS),List(List(List(Integer))))->%`dFiniteCubicalComplex(VS)``402792
ocubicalComplex`2`n`(List(VS),List(List(Segment(Integer))))->%`dFiniteCubicalComplex(VS)``402840
ocubicalFacet`2`n`(Integer,CubicalFacet)->%`dCubicalFacet``402888
ocubicalFacet`2`n`(Integer,List(List(Integer)))->%`dCubicalFacet``402933
ocubicalFacet`2`n`(Integer,List(Segment(Integer)))->%`dCubicalFacet``402970
ocumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``403151
ocup`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``403269
ocurrentSubProgram`0`n`()->Symbol`dTheSymbolTable``403455
ocurry`2`x`((A)->C,A)->()->C`pMappingPackage2(A,C)``403548
ocurryLeft`2`x`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``403641
ocurryRight`2`x`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``403742
ocurve?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``403844
ocurve`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``404057
ocurve`1`x`(List(Point(R)))->%`cThreeSpaceCategory(R)``404288
ocurve`2`x`(%,List(List(R)))->%`cThreeSpaceCategory(R)``404480
ocurve`2`x`(%,List(Point(R)))->%`cThreeSpaceCategory(R)``404836
ocurve`2`x`(ComponentFunction,ComponentFunction)->%`dParametricPlaneCurve(ComponentFunction)``405003
ocurve`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->%`dParametricSpaceCurve(ComponentFunction)``405105
ocurveColor`1`x`(Float)->%`dDrawOption``405223
ocurveColor`1`x`(Palette)->%`dDrawOption``405362
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``405532
ocurveLoops`3`n`(List(PT),DoubleFloat,Integer)->List(List(PT))`dSceneIFS(PT)``405753
ocycle`1`x`(List(S))->%`cPermutationCategory(S)``405836
ocycleClosed`2`n`(List(S),String)->%`cFiniteGraph(S)``406056
ocycleClosed`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``406295
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`x`(%)->%`cUnaryRecursiveAggregate(S)``406442
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`x`(%)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``406575
ocycleOpen`2`n`(List(S),String)->%`cFiniteGraph(S)``406713
ocycleOpen`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocyclePartition`1`x`(%)->Partition`dPermutation(S)``407061
ocycleRagits`1`x`(%)->List(Integer)`dRadixExpansion(bb)``407204
ocycles`1`x`(List(List(S)))->%`cPermutationCategory(S)``407424
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`x`(%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`407739
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`x`(%)->%`cUnaryRecursiveAggregate(S)``408110
ocyclic?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
ocyclic?`1`x`(%)->Boolean`cRecursiveAggregate(S)``408200
ocyclic`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``408256
ocyclicGroup`1`n`(PositiveInteger)->%`dGroupPresentation``408352
ocyclicGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``408468
ocyclicGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``408649
ocyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`408765
ocyclotomic_array`1`n`(Integer)->PrimitiveArray(Integer)`pCyclotomicUtilities``409388
ocyclotomic_case?`1`x`(SparseUnivariatePolynomial(Polynomial(R)))->Union(Integer,"failed")`pRadicalSolvePackage(R)``409658
ocyclotomic_decomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicUtilities``409724
ocyclotomic_roots`1`n`(PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``409836
ocyclotomic?`1`n`(SparseUnivariatePolynomial(Integer))->Union(Integer,"failed")`pCyclotomicUtilities``409930
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicUtilities``410094
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``410166
ocyclotomic`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``410369
ocylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``410467
ocylindricalDecomposition`1`n`(List(Polynomial(TheField)))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``410696
ocylindricalDecomposition`2`n`(List(Polynomial(TheField)),List(Symbol))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``410840
oD`0`n`()->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oD`0`x`()->%`cLinearOrdinaryDifferentialOperatorCategory(A)``410976
od`1`n`(D)->%`dJetDifferential(JB,D)``411068
od`1`n`(JB)->%`dJetDifferential(JB,D)``411126
oD`1`n`(S)->S`xDifferentialExtension&(S,R)``0
oD`1`n`(S)->S`xDifferentialRing&(S)``0
oD`1`n`(Var)->%`dPartialDifferentialOperator(R,Var)``411185
oD`1`n`(Var)->%`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)``411291
oD`1`x`(%)->%`cDifferentialRing``411393
oD`1`x`(%)->%`dFullPartialFractionExpansion(F,UP)``411537
oD`2`n`(A,List(S))->A`xPartialDifferentialRing&(A,S)``0
oD`2`n`(A,S)->A`xPartialDifferentialRing&(A,S)``0
oD`2`n`(S,(R)->R)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,List(Symbol))->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialRing&(S)``0
oD`2`n`(S,Symbol)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(Symbol,List(Symbol))->%`dJetBundle(IVar,DVar)``411592
oD`2`n`(Symbol,List(Symbol))->%`dJetBundleSymAna(JB1,xi,eta)``411717
oD`2`x`(%,(R)->R)->%`cDifferentialExtension(R)``411765
oD`2`x`(%,List(S))->%`cPartialDifferentialRing(S)``411859
oD`2`x`(%,NonNegativeInteger)->%`cDifferentialRing``411982
oD`2`x`(%,NonNegativeInteger)->%`dFullPartialFractionExpansion(F,UP)``412052
oD`2`x`(%,S)->%`cPartialDifferentialRing(S)``412122
oD`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialRing&(A,S)``0
oD`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialRing&(A,S)``0
oD`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`x`(%,(R)->R,NonNegativeInteger)->%`cDifferentialExtension(R)``412214
oD`3`x`(%,List(S),List(NonNegativeInteger))->%`cPartialDifferentialRing(S)``412340
oD`3`x`(%,S,NonNegativeInteger)->%`cPartialDifferentialRing(S)``412484
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``412627
odanilewski`1`n`(Matrix(F))->Record(matrix:Matrix(F),block_list:List(Integer))`pCharacteristicPolynomial2(F)``413040
odark`1`x`(Color)->%`dPalette``413177
odatalist`1`x`(List(S))->%`dDataList(S)``413268
oddfact`2`n`(PA,MD)->List(Record(poly:PA,degree:NonNegativeInteger,separate_factors:()->List(PA)))`pModularFactorizationGeneral(PA,MMT,MD,PMD,MO)``413327
oddfact`2`n`(PrimitiveArray(K),Record(i_mod:Integer,deg:Integer))->List(Record(poly:PrimitiveArray(K),degree:NonNegativeInteger,separate_factors:()->List(PrimitiveArray(K))))`pModularFactorizationK(K)``0
oddfact`2`n`(U32Vector,Integer)->List(Record(poly:U32Vector,degree:NonNegativeInteger,separate_factors:()->List(U32Vector)))`pModularFactorization``0
odebug`1`n`(Boolean)->Boolean`dPlot``413498
odebug`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``413585
odebug`1`x`(Boolean)->%`dGuessOption``413691
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``413831
odec`1`x`(%)->%`cIntegerNumberSystem``413924
odecimal`1`x`(Fraction(Integer))->%`dDecimalExpansion``413967
odeclare!`2`n`(Symbol,FortranType)->FortranType`dTheSymbolTable``414043
odeclare!`3`n`(List(Symbol),FortranType,%)->FortranType`dSymbolTable``414168
odeclare!`3`n`(Symbol,FortranType,%)->FortranType`dSymbolTable``414280
odeclare!`3`n`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``414384
odeclare!`4`n`(List(Symbol),FortranType,Symbol,%)->FortranType`dTheSymbolTable``414480
odeclare!`4`n`(Symbol,FortranType,Symbol,%)->FortranType`dTheSymbolTable``414620
odeclare`1`n`(List(%))->Symbol`dInputForm``414759
odecompose`1`x`(%)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``415106
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``415188
odecompose`2`n`(UP,List(UP))->List(UP)`pPartialFractionUtilities(F,UP)``415512
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``415714
odecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`415949
odecreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`416080
odeductions`1`n`(List(%))->List(%)`dILogic``416220
odeductions`1`n`(List(%))->List(%)`dLatticeJoinOfMeets``416606
odeductions`1`n`(List(%))->List(%)`dLatticeMeetOfJoins``416992
odeepCopy`1`n`(%)->%`dSubSpace(n,R)``417378
odeepDiagramSvg`3`n`(String,%,Boolean)->Void`cFiniteGraph(S)``0
odeepDiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``417418
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``417563
odeepExpand`1`x`(%)->OutputForm`dFreeNilpotentLie(n,class,R)``417796
odefault_name?`1`n`(Symbol)->Boolean`pBrowserInformation``417885
odefaultEpilogue`1`n`(String)->OutputBox`cFormatterCategory``418048
odefaultPrologue`1`n`(String)->OutputBox`cFormatterCategory``418140
odefineProperty`3`n`(%,List(NonNegativeInteger),SubSpaceComponentProperty)->%`dSubSpace(n,R)``418238
odefiningEquations`1`n`(%)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``418689
odefiningInequation`1`n`(%)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``418828
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`x`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``418965
odefiningPolynomial`0`x`()->UP`cMonogenicAlgebra(R,UP)``419059
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`419161
odefiningPolynomial`1`x`(%)->%`cExpressionSpace2(K)`has(%,Ring)`419304
odefiningPolynomial`1`x`(%)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``419398
odegree`1`n`(%)->Expon`cSolvableSkewPolynomialCategory(R,Expon)``419510
odegree`1`n`(%)->Integer`dLaurentPolynomial(R,UP)``419597
odegree`1`n`(%)->NonNegativeInteger`dAntiSymm(R,lVar)``419635
odegree`1`n`(%)->NonNegativeInteger`dDeRhamComplex(CoefRing,listIndVar)``419703
odegree`1`n`(%)->NonNegativeInteger`dExtAlgBasis``419791
odegree`1`n`(A)->E`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`1`n`(MPT)->Integer`cModularAlgebraicGcdOperations(MP,MPT,MD)``419958
odegree`1`n`(PA)->Integer`cModularFactorizationOperations(PA,MMT,MD,PMD)``420008
odegree`1`n`(PrimitiveArray(K))->Integer`pVectorPolynomialOperationsF(K)``420079
odegree`1`n`(PrimitiveArray(PrimeField(p)))->Integer`pVectorPolynomialOperationsP(p)``420147
odegree`1`n`(S)->Expon`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
odegree`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
odegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(S)->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(U32Vector)->Integer`pU32VectorPolynomialOperations``420215
odegree`1`x`(%)->E`cAbelianMonoidRing(R,E)``420283
odegree`1`x`(%)->E`cGradedModule(R,E)``420370
odegree`1`x`(%)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``420491
odegree`1`x`(%)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``420574
odegree`1`x`(%)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``420713
odegree`1`x`(%)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``420838
odegree`1`x`(%)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``420928
odegree`1`x`(%)->NonNegativeInteger`cXPolynomialsCat(vl,R)``421018
odegree`1`x`(%)->NonNegativeInteger`dPermutation(S)``421134
odegree`1`x`(%)->NonNegativeInteger`dPermutationGroup(S)``421222
odegree`1`x`(%)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``421325
odegree`1`x`(%)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``421512
odegree`2`n`(%,List(VarSet))->List(NonNegativeInteger)`cMaybeSkewPolynomialCategory(R,E,VarSet)``421636
odegree`2`n`(%,Symbol)->NonNegativeInteger`dFakePolynomial``0
odegree`2`n`(%,VarSet)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``421774
odegree`2`n`(A,List(V))->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,V)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(MP,Symbol)->NonNegativeInteger`cModularEvaluationCategory(PT,MP)``421880
odegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(SparseUnivariatePolynomial(P),List(OV))->List(NonNegativeInteger)`pFactoringUtilities(E,OV,R,P)``421961
odegree`2`x`(%,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``422067
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``422247
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``422412
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``422695
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``422781
odehomogenize`1`n`(List(Record(ratpart:F,coeffs:Vector(F))))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pLinearCombinationUtilities(F,UP)``422946
odelay`1`x`(()->%)->%`dStream(S)``423386
odelete!`2`n`(A,Integer)->A`xListAggregate&(A,S)``0
odelete!`2`n`(A,UniversalSegment(Integer))->A`xListAggregate&(A,S)``0
odelete!`2`x`(%,Integer)->%`cExtensibleLinearAggregate(S)``423539
odelete!`2`x`(%,UniversalSegment(Integer))->%`cExtensibleLinearAggregate(S)``423625
odelete`2`n`(A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`x`(%,Integer)->%`cLinearAggregate(S)``423732
odelete`2`x`(%,UniversalSegment(Integer))->%`cLinearAggregate(S)``423894
odeleteProperty!`2`x`(%,Symbol)->%`dBasicOperator``424077
odeleteRow!`2`n`(%,Integer)->Void`dSparseEchelonMatrix(C,D)``424237
odelta_deriv`1`n`(R)->R`pLinearOrdinaryDifferentialOperator3Aux(Coeff,A,R)``424326
oDelta`0`n`()->Symbol`pMathematicalSymbols``424395
odelta`0`n`()->Symbol`pMathematicalSymbols``424464
oDelta`1`n`(Symbol)->%`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)`has(Var,SIGNATURE(variable,Var(Symbol)))`424531
odelta`3`n`(%,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``424637
odeltaComplex`1`n`(FiniteCubicalComplex(VS))->%`dDeltaComplex(VS)``424788
odeltaComplex`1`n`(FiniteSimplicialComplex(VS))->%`dDeltaComplex(VS)``424881
odeltaComplex`2`n`(FiniteSimplicialComplex(VS),Boolean)->%`dDeltaComplex(VS)``0
odeltaComplex`3`n`(List(VS),NonNegativeInteger,List(List(List(Integer))))->%`dDeltaComplex(VS)``424979
odenom`1`n`(%)->R`dFractionalIdeal(R,F,UP,A)``425031
odenom`1`n`(%)->R`dLocalAlgebra(A,R)``425090
odenom`1`n`(%)->R`dLocalize(M,R)``425149
odenom`1`x`(%)->S`cQuotientFieldCategory(S)``425208
odenom`1`x`(%)->SparseMultivariatePolynomial(Integer,Kernel(%))`dAlgebraicNumber``425281
odenom`1`x`(%)->SparseMultivariatePolynomial(R,K)`cFunctionSpace2(R,K)`has(R,IntegralDomain)`425393
odenominator`1`n`(%)->%`cJetBundleFunctionCategory(JB)``425505
odenominator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odenominator`1`n`(S)->S`xFunctionSpace2&(S,R,K)``0
odenominator`1`x`(%)->%`cFunctionSpace2(R,K)`has(R,IntegralDomain)`425570
odenominator`1`x`(%)->%`cQuotientFieldCategory(S)``425652
odenominators`1`x`(%)->Stream(R)`dContinuedFraction(R)``425742
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``425932
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``426156
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``426354
odepth`1`n`(%)->NonNegativeInteger`dOutputBox``426674
odepth`1`n`(%)->NonNegativeInteger`dPattern(R)``426756
odequeue!`1`x`(%)->S`cQueueAggregate(S)``426818
odequeue`1`x`(List(S))->%`dDequeue(S)``427011
oderef`1`n`(%)->S`dReference(S)``427185
oderiv`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``427240
oderiv`1`n`(Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``427321
oderivationCoordinates`2`n`(Vector(S),(R)->R)->Matrix(R)`xMonogenicAlgebra&(S,R,UP)``0
oderivationCoordinates`2`x`(Vector(%),(R)->R)->Matrix(R)`cMonogenicAlgebra(R,UP)`has(R,Field)`427505
oderivative`1`x`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``427591
oderivative`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``427715
oderivative`2`x`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``427962
oderivativeOf?`2`n`(%,%)->List(NonNegativeInteger)`cJetBundleCategory``428275
oderivativeOf?`2`n`(S,S)->List(NonNegativeInteger)`xJetBundleCategory&(S)``0
odeserialize`1`n`(None)->None`pFileSerialization``428473
odestruct`1`n`(%)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``428555
odestruct`1`x`(%)->List(%)`cSExpressionCategory(Str,Sym,Int,Flt)``428672
odet_via_common_denominator`1`n`(Matrix(Fraction(R)))->Fraction(R)`pCharacteristicPolynomial3(R)`has(R,GcdDomain)`428749
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`428827
odeterminant`1`x`(%)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`428962
odeterminant`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`429075
odeterminant`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``429152
odetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``429287
odetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``429470
odetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``429696
odetSysNS`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``429936
odetSysNS`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``430092
odiag`1`x`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``430248
odiagonal?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
odiagonal?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
odiagonal?`1`x`(%)->Boolean`cMatrixOperationsCategory(R,Row,Col)`has(R,AbelianMonoid)`430341
odiagonal?`2`n`(%,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``430535
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal`1`x`(%)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``430598
odiagonal`2`n`(%,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``430705
odiagonalMatrix`1`n`(List(R))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(M)->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`430784
odiagonalMatrix`1`x`(List(%))->%`cMatrixCategory(R,Row,Col)``430925
odiagonalMatrix`1`x`(List(R))->%`cMatrixCategory(R,Row,Col)``431457
odiagonalMatrix`1`x`(List(R))->%`cSquareMatrixCategory(ndim,R,Row,Col)``431562
odiagonalMatrix`1`x`(Vector(R))->%`dMatrix(R)``431667
odiagonalMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`431780
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``432004
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)``432112
odiagonals`2`x`(%,String)->Void`dThreeDimensionalViewport``432221
odiagramHeight`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``432557
odiagramHeight`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramsSvg`3`n`(String,List(%),Boolean)->Void`cFiniteGraph(S)``432719
odiagramsSvg`3`n`(String,List(A),Boolean)->Void`xFiniteGraph&(A,S)``0
odiagramSvg`3`n`(String,%,Boolean)->Void`cFiniteGraph(S)``432983
odiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odiagramSvg2`3`n`(String,%,Boolean)->Void`dUndirectedGraph(S)``433258
odiagramWidth`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``433595
odiagramWidth`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`x`()->%`cDictionaryOperations(S)``433755
odictionary`1`n`(List(S))->A`xDictionary&(A,S)``0
odictionary`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
odictionary`1`x`(List(S))->%`cDictionaryOperations(S)``433838
odiff_map`1`n`(Var)->(R)->R`pPartialDifferentialOperatorHelper(R,Var)``0
odiff`1`n`(JB)->%`dJetVectorField(JB,D)``433943
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``434020
oDiffAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``434091
oDiffC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``434307
odifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xSetAggregate&(A,S)``0
odifference`2`x`(%,%)->%`cSetAggregate(S)``434608
odifference`2`x`(%,S)->%`cSetAggregate(S)``434965
odifferentials`1`n`(%)->List(JB)`dJetDifferential(JB,D)``435189
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`x`(%)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``435291
odifferentiate`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`1`n`(A)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`1`n`(S)->S`xComplexCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialExtension&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialRing&(S)``0
odifferentiate`1`n`(S)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`1`n`(S)->S`xFiniteFieldCategory&(S)``0
odifferentiate`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`1`n`(S)->S`xIntegerNumberSystem&(S)``0
odifferentiate`1`n`(S)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`1`x`(%)->%`cDifferentialRing``435425
odifferentiate`1`x`(%)->%`cDifferentialVariableCategory(S)``435581
odifferentiate`1`x`(%)->%`dFullPartialFractionExpansion(F,UP)``435648
odifferentiate`2`n`(%,(F)->F)->F`dIntegrationResult(F)``435715
odifferentiate`2`n`(%,JB)->%`cJetBundleFunctionCategory(JB)``435816
odifferentiate`2`n`(%,NonNegativeInteger)->%`dOutputForm``435927
odifferentiate`2`n`(%,PositiveInteger)->Union(%,"0")`cJetBundleCategory``436101
odifferentiate`2`n`(%,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`436217
odifferentiate`2`n`(%,Variable('x))->%`dUnivariateFormalPowerSeries(Coef)``0
odifferentiate`2`n`(%,Variable(var))->%`dSparseUnivariateLaurentSeries(Coef,var,cen)``436302
odifferentiate`2`n`(%,Variable(var))->%`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``436403
odifferentiate`2`n`(%,Variable(var))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)``436504
odifferentiate`2`n`(%,Variable(var))->%`dUnivariateLaurentSeries(Coef,var,cen)``436606
odifferentiate`2`n`(%,Variable(var))->%`dUnivariatePuiseuxSeries(Coef,var,cen)``436707
odifferentiate`2`n`(%,Variable(var))->%`dUnivariateTaylorSeries(Coef,var,cen)``436808
odifferentiate`2`n`(A,(R)->R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,(S)->S)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,List(S))->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`2`n`(A,List(Symbol))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,List(Symbol))->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,List(V))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,S)->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`2`n`(A,Symbol)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,Symbol)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(S,(Fraction(UP))->Fraction(UP))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,(R)->R)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,(R)->R)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,(R)->R)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,(UP)->UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,List(SingletonAsOrderedSet))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,List(Symbol))->S`xFunctionSpace2&(S,R,K)``0
odifferentiate`2`n`(S,List(Symbol))->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,List(Symbol))->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,List(Symbol))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDifferentialRing&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xFiniteFieldCategory&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xIntegerNumberSystem&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,PositiveInteger)->Union(S,"0")`xJetBundleCategory&(S)``0
odifferentiate`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,Symbol)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,Symbol)->S`xFunctionSpace2&(S,R,K)``0
odifferentiate`2`n`(S,Symbol)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,Symbol)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,Symbol)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``436910
odifferentiate`2`x`(%,(R)->R)->%`cDifferentialExtension(R)``436945
odifferentiate`2`x`(%,(UP)->UP)->%`cFunctionFieldCategory(F,UP,UPUP)``437051
odifferentiate`2`x`(%,List(S))->%`cPartialDifferentialRing(S)``437159
odifferentiate`2`x`(%,NonNegativeInteger)->%`cDifferentialRing``437316
odifferentiate`2`x`(%,NonNegativeInteger)->%`cDifferentialVariableCategory(S)``437398
odifferentiate`2`x`(%,NonNegativeInteger)->%`dFullPartialFractionExpansion(F,UP)``437480
odifferentiate`2`x`(%,S)->%`cPartialDifferentialRing(S)``437562
odifferentiate`2`x`(%,Variable(var))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)``437666
odifferentiate`3`n`(A,(R)->R,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,(S)->S,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`3`n`(A,List(Symbol),List(NonNegativeInteger))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,List(Symbol),List(NonNegativeInteger))->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,List(V),List(NonNegativeInteger))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialRing&(A,S)``0
odifferentiate`3`n`(A,Symbol,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,Symbol,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,V,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(S,(Fraction(UP))->Fraction(UP),NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialExtension&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xFunctionSpace2&(S,R,K)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xFunctionSpace2&(S,R,K)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(U32Vector,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``437767
odifferentiate`3`x`(%,(R)->R,%)->%`cUnivariatePolynomialCategory(R)`has(R,Ring)`437802
odifferentiate`3`x`(%,(R)->R,NonNegativeInteger)->%`cDifferentialExtension(R)``437983
odifferentiate`3`x`(%,List(S),List(NonNegativeInteger))->%`cPartialDifferentialRing(S)``438121
odifferentiate`3`x`(%,S,NonNegativeInteger)->%`cPartialDifferentialRing(S)``438239
odiffextint`3`n`((List(UP))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``438394
odiffHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
odiffHP`1`n`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``438530
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`438645
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
odiffP`2`n`(PositiveInteger,List(NonNegativeInteger))->%`dJetVectorField(JB,D)``438769
odiffU`1`n`(PositiveInteger)->%`dJetVectorField(JB,D)``438856
odiffX`1`n`(PositiveInteger)->%`dJetVectorField(JB,D)``438935
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``439014
odigamma`1`x`(%)->%`cSpecialFunctionCategory``439089
odigamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
odigamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``439212
odigamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
odigamma`1`x`(Float)->Float`pFloatSpecialFunctions``439287
odigit?`1`x`(%)->Boolean`dCharacter``439362
odigit`0`x`()->%`dCharacterClass``439457
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``439573
odigits`0`x`()->PositiveInteger`cFloatingPointSystem``439650
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``439727
odigits`1`x`(%)->Stream(Integer)`cPAdicIntegerCategory(p)``439824
odigits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`439902
odihedral`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``439999
odihedralGroup`1`n`(PositiveInteger)->%`dGroupPresentation``440099
odihedralGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``440209
odihedralGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``440395
odilate`2`n`(R,%)->%`cSequenceCategory(R)``440505
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``440601
odilog`1`x`(%)->%`cLiouvillianFunctionCategory``440648
odilog`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``440770
odim`1`x`(Color)->%`dPalette``440812
odimension`0`x`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``440898
odimension`1`n`(%)->NonNegativeInteger`dCell(TheField)``440956
odimension`1`n`(%)->NonNegativeInteger`dFreeDivisionAlgebra(VAR,F)``441013
odimension`1`n`(%)->PositiveInteger`cSPointCategory``441074
odimension`1`x`(%)->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``441176
odimension`1`x`(%)->PositiveInteger`cPointCategory(R)``441325
odimension`2`n`(%,NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``441406
odimension`2`x`(%,List(VarSet))->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``441616
odimension`3`n`(List(%),SparseEchelonMatrix(JB,%),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``441719
odimension`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
odimensionOfIrreducibleRepresentation`1`x`(List(Integer))->NonNegativeInteger`pIrrRepSymNatPackage``441895
odimensions`5`n`(%,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``442123
odimensions`5`x`(%,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``442553
odimensionsOf`1`n`(%)->List(Polynomial(Integer))`dFortranType``442987
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``443052
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``443149
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``443246
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``443358
odiophantineSystem`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``443470
odioSolve`1`x`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``443599
odiracDelta`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``443774
odiracDelta`1`x`(%)->%`cSpecialFunctionCategory``443837
odirectedGraph`1`n`(FinitePoset(S))->%`dDirectedGraph(S)``443900
odirectedGraph`1`n`(List(Permutation(S)))->%`dDirectedGraph(S)``444051
odirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->%`dDirectedGraph(S)``444146
odirectedGraph`1`n`(List(S))->%`dDirectedGraph(S)``444291
odirectedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dDirectedGraph(S)``444565
odirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dDirectedGraph(S)``444712
odirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->%`dDirectedGraph(S)``444813
odirection`1`n`(String)->Integer`pToolsForSign(R)``444998
odirections`1`n`(%)->List(JB)`dJetVectorField(JB,D)``445039
odirectory`1`x`(%)->String`cFileNameCategory``445156
odirectProduct`1`x`(Vector(R))->%`cDirectProductCategory(dim,R)``445228
odirectProduct`2`n`(%,%)->%`dGroupPresentation``445365
odirectSum`2`x`(%,%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`445407
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``445602
odisableAlternativeOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``445835
odisableDebugOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``445916
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`x`(%)->NonNegativeInteger`cFiniteFieldCategory``445980
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`x`(%,%)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``446109
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``446207
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``446351
odiscriminant`0`x`()->R`cFramedAlgebra(R,UP)``446410
odiscriminant`1`n`(polR)->R`pPseudoRemainderSequence(R,polR)``446469
odiscriminant`1`n`(Vector(S))->R`xComplexCategory&(S,R)``0
odiscriminant`1`n`(Vector(S))->R`xFiniteRankAlgebra&(S,R,UP)``0
odiscriminant`1`n`(Vector(S))->R`xFramedAlgebra&(S,R,UP)``0
odiscriminant`1`x`(%)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`446537
odiscriminant`1`x`(Vector(%))->R`cFiniteRankAlgebra(R,UP)``446620
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`x`(%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`446716
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``446840
odiscriminantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
odispGenerators`1`n`(%)->OutputForm`dHomology``446955
odisplay_math?`1`n`(%)->Boolean`dTeXTree``446999
odisplay_math`1`n`(%)->%`dTeXTree``447098
odisplay`1`n`(%)->Void`cOutputFormatterCategory``447178
odisplay`1`n`(%)->Void`dJetDifferentialEquation(JB,D)``447230
odisplay`1`n`(%)->Void`dTexFormat``447576
odisplay`1`n`(Record(rows:List(FreeMonoid(VAR)),cols:List(FreeMonoid(VAR)),H:Matrix(F)))->OutputForm`pXDistributedPolynomialFunctions(VAR,F)``447758
odisplay`1`n`(String)->Void`dHTMLFormat``447888
odisplay`1`n`(String)->Void`dMathMLFormat``447951
odisplay`1`n`(String)->Void`dTexmacsFormat``448020
odisplay`1`x`(%)->Union((List(OutputForm))->OutputForm,"failed")`dBasicOperator``448089
odisplay`1`x`(%)->Void`dDatabase(S)``448209
odisplay`1`x`(%)->Void`dIndexCard``448286
odisplay`2`n`(%,Integer)->Void`dTexFormat``448372
odisplay`2`n`(%,List(Symbol))->OutputForm`dFreeDivisionAlgebra(VAR,F)``448509
odisplay`2`n`(%,OutputForm)->OutputForm`dFreeDivisionAlgebra(VAR,F)``448623
odisplay`2`x`(%,(List(OutputForm))->OutputForm)->%`dBasicOperator``448701
odisplay`2`x`(%,(OutputForm)->OutputForm)->%`dBasicOperator``448918
odisplayKind`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``449151
odisplayKind`1`x`(Symbol)->%`dGuessOption``449345
odisplayLines`1`n`(List(String))->Void`pFortranCodeTools``449539
odispStatement`1`n`(OutputForm)->Void`pFortranCodeTools``449569
odistance`2`n`(%,%)->DoubleFloat`cSPointCategory``449601
odistance`2`n`(A,A)->Integer`xBinaryTreeCategory&(A,S)``0
odistance`2`n`(A,A)->Integer`xLazyStreamAggregate&(A,S)``0
odistance`2`n`(S,S)->DoubleFloat`xSPointCategory&(S)``0
odistance`2`x`(%,%)->Integer`cRecursiveAggregate(S)``449892
odistance`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Integer`cFiniteGraph(S)``449990
odistance`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Integer`xFiniteGraph&(A,S)``0
odistance`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Integer`xPoset&(A,S)``0
odistanceMatrix`1`n`(%)->Matrix(Integer)`cFiniteGraph(S)``450188
odistanceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
odistanceSquared`2`n`(%,%)->DoubleFloat`cSPointCategory``450717
odistanceWeighted`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Union(W,"disjoint")`dWeightedGraph(S,W)``450979
odistFact`6`n`(Z,List(SparseUnivariatePolynomial(Z)),Record(contp:Z,factors:List(Record(irr:P,pow:NonNegativeInteger))),List(Z),List(OV),List(Z))->Union(Record(polfac:List(P),correct:Z,corrfact:List(SparseUnivariatePolynomial(Z))),"failed")`pLeadingCoefDetermination(OV,E,Z,P)``451055
odistinct_partition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``451550
odistinct_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``451878
odistinct_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``451996
odistribute`1`n`(S)->S`xExpressionSpace2&(S,K)``0
odistribute`1`x`(%)->%`cExpressionSpace2(K)``452231
odistribute`2`n`(S,S)->S`xExpressionSpace2&(S,K)``0
odistribute`2`x`(%,%)->%`cExpressionSpace2(K)``452414
odistributionByBooleanCumulants`1`x`(Sequence(R))->%`dDistribution(R)``452647
odistributionByBooleanCumulants`1`x`(Stream(R))->%`dDistribution(R)``452761
odistributionByClassicalCumulants`1`x`(Sequence(R))->%`dDistribution(R)``452875
odistributionByClassicalCumulants`1`x`(Stream(R))->%`dDistribution(R)``452986
odistributionByEvenMoments`1`x`(Sequence(R))->%`dDistribution(R)``453097
odistributionByEvenMoments`1`x`(Stream(R))->%`dDistribution(R)``453222
odistributionByFreeCumulants`1`x`(Sequence(R))->%`dDistribution(R)``453347
odistributionByFreeCumulants`1`x`(Stream(R))->%`dDistribution(R)``453455
odistributionByJacobiParameters`2`x`(Sequence(R),Sequence(R))->%`dDistribution(R)``453563
odistributionByJacobiParameters`2`x`(Stream(R),Stream(R))->%`dDistribution(R)``453687
odistributionByMoments`1`x`(Sequence(R))->%`dDistribution(R)``453811
odistributionByMoments`1`x`(Stream(R))->%`dDistribution(R)``453906
odistributionByMonotoneCumulants`1`x`(Sequence(R))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`454001
odistributionByMonotoneCumulants`1`x`(Stream(R))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`454117
odistributionBySTransform`1`x`(Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R)))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`454233
odistributionBySTransform`1`x`(UPSR)->Distribution(R)`pSTransformPackage(R,UTSR,ULSR,UPSR)``454350
odistributionBySTransform`3`x`(Fraction(Integer),Fraction(Integer),Sequence(R))->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`454451
odivergence`2`n`(FLAF,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``454568
odivide!`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``454721
odivide!`4`n`(U32Vector,U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``454904
odivide`2`n`(%,%)->Union(Record(lm:%,rm:%),"failed")`dFreeMonoid(S)``454932
odivide`2`n`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``455149
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xComplexCategory&(S,R)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xField&(S)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
odivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cEuclideanDomain``455260
odivide`2`x`(%,%)->Record(quotient:%,remainder:%)`dNonNegativeInteger``455491
odivideExponents`2`x`(%,NonNegativeInteger)->Union(%,"failed")`cUnivariatePolynomialCategory(R)``455575
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``455806
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``456138
odivisor`1`n`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`1`n`(R)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`1`x`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->%`cFiniteDivisorCategory(F,UP,UPUP,R)``456278
odivisor`1`x`(R)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``456352
odivisor`2`n`(F,F)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`2`x`(F,F)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``456423
odivisor`3`n`(F,F,Integer)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`3`n`(R,UP,UP)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`3`x`(F,F,Integer)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``456534
odivisor`3`x`(R,UP,UP)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``456706
odivisor`5`n`(R,UP,UP,UP,F)->S`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
odivisor`5`x`(R,UP,UP,UP,F)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``456922
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``457234
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``457591
odivisors`1`x`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``458016
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``458086
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``458146
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``458206
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``458266
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``458355
odo_liou`2`n`(BasicOperator,List(Complex(F)))->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``458441
odo_match`2`n`(SExpression,String)->Boolean`pBrowserInformation``458504
odo_modular_solve`6`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,U32Vector,Integer,Symbol)->Union(Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer)),"no_solution")`pInnerModularHermitePade``0
odo_param_RDE`5`n`(F,F,List(F),Symbol,List(Kernel(F)))->Union(Record(ratpart:F,coeffs:Vector(F)),"failed")`pElementaryRischDEX2(R,F)``458606
odo_poly_integer`8`n`(List(Symbol),List(PrimitiveArray(Fraction(Polynomial(Integer)))),Vector(Integer),NonNegativeInteger,U32Vector,Symbol,Symbol,(List(U32Vector),Integer,Integer)->Vector(U32Vector))->Union(Record(defects:Vector(Integer),cinds:Vector(Integer),rowlen:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:PrimitiveArray(Integer)),"no_solution")`pInnerModularHermitePade``0
odo_quo`2`n`(PS,PS)->Union(PS,"failed")`dElementaryFunctionsGeneralizedUnivariatePowerSeries(Coef,Expon,PS)``0
odo_risch_DE`4`n`(F,F,Symbol,List(Kernel(F)))->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX2(R,F)``458965
odo_with_error_env1`1`n`(()->List(String))->List(String)`pFortranCodeTools``459250
odo_with_error_env2`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``459286
odo_with_error_env3`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``459338
odoFactor`3`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer,Boolean)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``459390
odom`1`x`(%)->SExpression`dAny``459623
odomainOf`1`x`(%)->OutputForm`dAny``459749
odominantTerm`1`n`(%)->Union(Record(%term:Record(%coef:UnivariatePuiseuxSeries(FE,var,cen),%expon:ExponentialOfUnivariatePuiseuxSeries(FE,var,cen),%expTerms:List(Record(k:Fraction(Integer),c:FE))),%type:String),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``459873
odot`1`n`(%)->%`dOutputForm``460272
odot`2`n`(%,NonNegativeInteger)->%`dOutputForm``460333
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``460412
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`x`(%,%)->R`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`460591
odot`2`x`(%,%)->R`cVectorCategory(R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`460680
odouble?`1`n`(%)->Boolean`dFortranScalarType``460833
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``460932
odoubleComplex?`1`n`(%)->Boolean`dFortranScalarType``461016
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``461136
odoubleFloatFormat`1`x`(String)->String`dDoubleFloat``461178
odoubleRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``461253
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``461411
odoublyTransitive?`1`x`(UP)->Boolean`pAlgFactor(UP)``461599
odowncase`1`n`(String)->String`pBrowserInformation``461820
odP`2`n`(PositiveInteger,List(NonNegativeInteger))->%`dJetDifferential(JB,D)``461879
odraw`1`x`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``461948
odraw`2`x`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``462034
odraw`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``462159
odraw`2`x`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``462301
odraw`2`x`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``462471
odraw`2`x`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``462610
odraw`2`x`(ParametricComplexCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``462787
odraw`2`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``462870
odraw`2`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``463036
odraw`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``463258
odraw`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``463440
odraw`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``463680
odraw`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``463876
odraw`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``464178
odraw`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``464394
odraw`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``464624
odraw`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``464885
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``465136
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``465300
odraw`3`x`(ParametricComplexCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``465530
odraw`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``465616
odraw`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``465873
odraw`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``466186
odraw`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``466456
odraw`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``466791
odraw`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``467065
odraw`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``467399
odraw`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``467690
odraw`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``467993
odraw`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``468189
odraw`4`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``468531
odraw`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``468770
odraw`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``469132
odrawComplex`4`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``469561
odrawComplexVectorField`3`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``470398
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``471111
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``471335
odrawStyle`2`x`(%,String)->Void`dThreeDimensionalViewport``471734
odrawToScale`0`x`()->Boolean`pGraphicsDefaults``472124
odrawToScale`1`x`(Boolean)->Boolean`pGraphicsDefaults``472210
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``472407
odSubst`3`n`(%,JB,%)->%`cJetBundleFunctionCategory(JB)``472465
odSubst`3`n`(S,JB,S)->S`xJetBundleFunctionCategory&(S,JB)``0
odU`1`n`(PositiveInteger)->%`dJetDifferential(JB,D)``472629
odunceHat`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``472690
odunceHat`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``472739
oduplicates?`1`n`(%)->Boolean`dListMultiDictionary(S)``472793
oduplicates`1`x`(%)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``472874
odX`1`n`(PositiveInteger)->%`dJetDifferential(JB,D)``472961
oe`1`x`(PositiveInteger)->%`dCliffordAlgebra(n,K,bLin)``473022
oee`1`x`(List(PositiveInteger))->%`dCliffordAlgebra(n,K,bLin)``473179
oeFromBinaryMap`1`x`(NonNegativeInteger)->%`dCliffordAlgebra(n,K,bLin)``473218
oei_int`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX(R,F)``473419
oEi`1`n`(F)->F`pLiouvillianFunction(R,F)``473661
oEi`1`x`(%)->%`cLiouvillianFunctionCategory``473721
oEi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``473848
oEi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oEi`1`x`(Float)->Float`pFloatLiouvilianFunctions``473908
oeigenMatrix`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``473968
oeigenvalues`1`n`(Matrix(F))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`474111
oeigenvalues`1`x`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)`has(R,PolynomialFactorizationExplicit)`474188
oeigenvalues`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``474265
oeigenvector`2`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``474492
oeigenvector`2`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``474621
oeigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`474750
oeigenvectors`1`x`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)`has(R,PolynomialFactorizationExplicit)`475099
oeigenvectors`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)``475445
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``475850
oelColumn2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``476017
oelem?`1`n`(%)->Boolean`dIntegrationResult(F)``476168
oelement?`2`x`(DPoly,%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``476252
oelement`3`n`(M,Integer,Integer)->M`pMatrixManipulation(R,Row,Col,M)``476350
oelementary`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``476459
oelements`1`n`(%)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``476583
oeliminationEquations`11`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`476675
oeliminationEquations`11`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Polynomial(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`476910
oeliminationEquations`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`477207
oeliminationGroebner`11`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Polynomial(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`477379
oeliminationSolve`1`n`(List(Polynomial(R)))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`477640
oeliminationSolve`2`n`(Polynomial(R),List(R))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`477731
oeliminationSolve`3`n`(List(Polynomial(R)),List(R),List(List(Equation(Polynomial(R)))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`477882
oeliminationSolve`3`n`(Polynomial(R),List(R),List(Equation(Polynomial(R))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`478182
oeliminationSolve`3`n`(Polynomial(R),List(R),List(List(Equation(Polynomial(R)))))->List(List(Equation(Polynomial(R))))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`478383
oeliminationTransformations`5`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger))->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`478593
oeliminationTransformations`6`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(NonNegativeInteger),List(Equation(Polynomial(R))))->List(Matrix(R))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`478837
oeliminationTransformations`7`n`(%,List(NonNegativeInteger),List(NonNegativeInteger),Symbol,List(NonNegativeInteger),List(NonNegativeInteger),Symbol)->List(Matrix(Polynomial(R)))`dLinearMultivariateMatrixPencil(R)`has(R,Field)`479000
oelimZeroCols!`1`n`(%)->Void`dSparseEchelonMatrix(C,D)``479264
oellipseBoundary`2`n`(PT,PT)->%`dSBoundary(PT)``479400
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``479637
oelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``479761
oelliptic`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``479885
oellipticCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``480107
oellipticE`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``480376
oellipticE`1`x`(%)->%`cSpecialFunctionCategory``480527
oellipticE`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``480678
oellipticE`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``480758
oellipticE`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``480839
oellipticE`1`x`(Float)->Float`pFloatEllipticFunctions``480919
oellipticE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``481000
oellipticE`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`481159
oellipticE`2`x`(%,%)->%`cSpecialFunctionCategory``481260
oellipticE`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``481419
oellipticE`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``481505
oellipticE`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``481591
oellipticE`2`x`(Float,Float)->Float`pFloatEllipticFunctions``481677
oellipticF`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``481763
oellipticF`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`481922
oellipticF`2`x`(%,%)->%`cSpecialFunctionCategory``482023
oellipticF`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``482182
oellipticF`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``482267
oellipticF`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``482352
oellipticF`2`x`(Float,Float)->Float`pFloatEllipticFunctions``482437
oellipticK`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``482522
oellipticK`1`x`(%)->%`cSpecialFunctionCategory``482672
oellipticK`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``482822
oellipticK`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``482907
oellipticK`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``482987
oellipticK`1`x`(Float)->Float`pFloatEllipticFunctions``483070
oellipticPi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``483150
oellipticPi`3`n`(UTS,Coef,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`483328
oellipticPi`3`x`(%,%,%)->%`cSpecialFunctionCategory``483434
oellipticPi`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``483612
oellipticPi`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``483701
oellipticPi`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``483790
oellipticPi`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``483879
oellipticRC`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``483968
oellipticRC`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``484079
oellipticRD`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``484190
oellipticRD`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``484319
oellipticRF`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``484448
oellipticRF`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``484577
oellipticRJ`4`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``484706
oellipticRJ`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``484870
oelRow1!`3`x`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``485013
oelRow2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``485133
oelt`1`n`(%)->S`dReference(S)``485275
oelt`1`x`(%)->R`dCartesianTensor(minix,dim,R)``485325
oelt`10`n`(BasicOperator,S,S,S,S,S,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`10`n`(BasicOperator,S,S,S,S,S,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`10`x`(BasicOperator,%,%,%,%,%,%,%,%,%)->%`cExpressionSpace2(K)``485386
oelt`2`n`(%,Integer)->R`cSequenceCategory(R)``485567
oelt`2`n`(%,List(%))->%`dOutputForm``485638
oelt`2`n`(%,NonNegativeInteger)->F`dFreeDivisionAlgebra(VAR,F)``485738
oelt`2`n`(%,R)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``485815
oelt`2`n`(A,"first")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xListAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xListAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"left")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xListAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"right")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xListAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xListAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xListAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xStreamAggregate&(A,S)``0
oelt`2`n`(BasicOperator,List(%))->%`dPattern(R)``485874
oelt`2`n`(BasicOperator,List(S))->S`xExpressionSpace2&(S,K)``0
oelt`2`n`(BasicOperator,List(S))->S`xFunctionSpace2&(S,R,K)``0
oelt`2`n`(BasicOperator,S)->S`xExpressionSpace2&(S,K)``0
oelt`2`n`(BasicOperator,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`2`n`(Fraction(S),Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(Fraction(S),R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,Index)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`2`n`(S,Integer)->Character`xStringAggregate&(S)``0
oelt`2`n`(S,Key)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`2`n`(S,R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,R)->S`xFullyEvalableOver&(S,R)``0
oelt`2`n`(S,S)->S`xStringAggregate&(S)``0
oelt`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,UniversalSegment(Integer))->S`xStringAggregate&(S)``0
oelt`2`x`(%,"count")->NonNegativeInteger`dDataList(S)``485943
oelt`2`x`(%,"first")->S`cUnaryRecursiveAggregate(S)``486011
oelt`2`x`(%,"last")->S`cUnaryRecursiveAggregate(S)``486106
oelt`2`x`(%,"left")->%`cBinaryRecursiveAggregate(S)``486198
oelt`2`x`(%,"rest")->%`cUnaryRecursiveAggregate(S)``486290
oelt`2`x`(%,"right")->%`cBinaryRecursiveAggregate(S)``486382
oelt`2`x`(%,"sort")->%`dDataList(S)``486477
oelt`2`x`(%,"unique")->%`dDataList(S)``486567
oelt`2`x`(%,"value")->S`cRecursiveAggregate(S)``486677
oelt`2`x`(%,%)->%`cStringAggregate``486772
oelt`2`x`(%,D)->I`cEltable(D,I)``486984
oelt`2`x`(%,DirectProduct(n,K))->K`dQuadraticForm(n,K)``487143
oelt`2`x`(%,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``487251
oelt`2`x`(%,Integer)->%`cSExpressionCategory(Str,Sym,Int,Flt)``487405
oelt`2`x`(%,Integer)->R`cFramedNonAssociativeAlgebra(R)``487467
oelt`2`x`(%,Integer)->R`dCartesianTensor(minix,dim,R)``487588
oelt`2`x`(%,List(Integer))->%`cSExpressionCategory(Str,Sym,Int,Flt)``487650
oelt`2`x`(%,List(Integer))->R`dCartesianTensor(minix,dim,R)``487872
oelt`2`x`(%,List(OutputForm))->%`dSymbol``487953
oelt`2`x`(%,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``488077
oelt`2`x`(%,QueryEquation)->%`dDatabase(S)``488159
oelt`2`x`(%,S)->S`cPermutationCategory(S)``488242
oelt`2`x`(%,Symbol)->Any`dLibrary``488329
oelt`2`x`(%,Symbol)->DataList(String)`dDatabase(S)``488460
oelt`2`x`(%,Symbol)->String`dIndexCard``488542
oelt`2`x`(BasicOperator,%)->%`cExpressionSpace2(K)``488714
oelt`2`x`(BasicOperator,List(%))->%`cExpressionSpace2(K)``488812
oelt`2`x`(Fraction(%),Fraction(%))->Fraction(%)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`488965
oelt`2`x`(Fraction(%),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`489101
oelt`3`n`(%,Integer,C)->D`dSparseEchelonMatrix(C,D)``489250
oelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``489373
oelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``489484
oelt`3`n`(A,Integer,S)->S`xLazyStreamAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xListAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
oelt`3`n`(BasicOperator,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`3`n`(BasicOperator,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`3`n`(S,F,F)->F`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oelt`3`n`(S,Index,Entry)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`3`n`(S,Integer,Character)->Character`xStringAggregate&(S)``0
oelt`3`n`(S,Integer,Integer)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Key,Entry)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`3`n`(S,List(Integer),Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Integer),List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Integer),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`x`(%,Dom,Im)->Im`cEltableAggregate(Dom,Im)``489566
oelt`3`x`(%,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``489696
oelt`3`x`(%,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``489836
oelt`3`x`(%,F,PositiveInteger)->F`dRuleset(Base,R,F)``489957
oelt`3`x`(%,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``490086
oelt`3`x`(%,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``490250
oelt`3`x`(%,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``490420
oelt`3`x`(%,Integer,List(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``490485
oelt`3`x`(%,Integer,List(Segment(Integer)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``490747
oelt`3`x`(%,List(Integer),Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``490947
oelt`3`x`(%,List(Integer),List(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``491209
oelt`3`x`(%,List(Integer),Segment(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``491558
oelt`3`x`(%,List(Segment(Integer)),Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``491692
oelt`3`x`(%,List(Segment(Integer)),List(Segment(Integer)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``491892
oelt`3`x`(%,List(Segment(Integer)),Segment(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``492084
oelt`3`x`(%,Segment(Integer),List(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``492275
oelt`3`x`(%,Segment(Integer),List(Segment(Integer)))->%`cTwoDimensionalArrayCategory(R,Row,Col)``492409
oelt`3`x`(%,Segment(Integer),Segment(Integer))->%`cTwoDimensionalArrayCategory(R,Row,Col)``492600
oelt`3`x`(BasicOperator,%,%)->%`cExpressionSpace2(K)``492734
oelt`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dLinearMultivariateMatrixPencil(R)``492859
oelt`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dThreeDimensionalMatrix(R)``492979
oelt`4`n`(BasicOperator,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`4`n`(BasicOperator,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`4`x`(%,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``493053
oelt`4`x`(%,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``493121
oelt`4`x`(%,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``493330
oelt`4`x`(BasicOperator,%,%,%)->%`cExpressionSpace2(K)``493537
oelt`5`n`(BasicOperator,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`5`n`(BasicOperator,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`5`x`(%,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``493686
oelt`5`x`(BasicOperator,%,%,%,%)->%`cExpressionSpace2(K)``493757
oelt`6`n`(BasicOperator,S,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`6`n`(BasicOperator,S,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`6`x`(BasicOperator,%,%,%,%,%)->%`cExpressionSpace2(K)``493927
oelt`7`n`(BasicOperator,S,S,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`7`n`(BasicOperator,S,S,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`7`x`(BasicOperator,%,%,%,%,%,%)->%`cExpressionSpace2(K)``494056
oelt`8`n`(BasicOperator,S,S,S,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`8`n`(BasicOperator,S,S,S,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`8`x`(BasicOperator,%,%,%,%,%,%,%)->%`cExpressionSpace2(K)``494198
oelt`9`n`(BasicOperator,S,S,S,S,S,S,S,S)->S`xExpressionSpace2&(S,K)``0
oelt`9`n`(BasicOperator,S,S,S,S,S,S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oelt`9`x`(BasicOperator,%,%,%,%,%,%,%,%)->%`cExpressionSpace2(K)``494353
oeltable?`1`n`(F)->Boolean`pRecurrenceOperator(R,F)``494521
oempty_mat?`1`n`(MMT)->Boolean`cModularFactorizationOperations(PA,MMT,MD,PMD)``494625
oempty_mat`0`n`()->MMT`cModularFactorizationOperations(PA,MMT,MD,PMD)``494719
oempty_poly`0`n`()->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``494793
oempty?`1`n`(%)->Boolean`cFacetCategory``494858
oempty?`1`n`(%)->Boolean`dLatticeJoinOfMeets``494926
oempty?`1`n`(%)->Boolean`dLatticeMeetOfJoins``494954
oempty?`1`n`(%)->Boolean`dOutputBox``494982
oempty?`1`n`(%)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``495070
oempty?`1`n`(%)->Boolean`dSplittingNode(V,C)``495192
oempty?`1`n`(%)->Boolean`dXmlElement``495281
oempty?`1`n`(OutputForm)->Boolean`pOutputFormTools``495368
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(S)->Boolean`xFacetCategory&(S)``0
oempty?`1`x`(%)->Boolean`cAggregate``495426
oempty`0`n`()->%`dOutputBox``495484
oempty`0`n`()->%`dOutputForm``495522
oempty`0`n`()->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``495567
oempty`0`n`()->%`dSplittingNode(V,C)``495627
oempty`0`n`()->%`dSymbolTable``495712
oempty`0`n`()->%`dTheSymbolTable``495768
oempty`0`x`()->%`cAggregate``495825
oempty`1`n`(Integer)->%`dVectorIntegerReconstructor``496015
oempty`2`n`(Integer,Integer)->%`dVectorModularReconstructor``496081
oemptyLattice`0`n`()->%`dLatticeJoinOfMeets``496177
oemptyLattice`0`n`()->%`dLatticeMeetOfJoins``496211
oenableAlternativeOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``496245
oenableDebugOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``496324
oendOfFile?`1`x`(%)->Boolean`dTextFile``496386
oendSubProgram`0`n`()->Symbol`dTheSymbolTable``496557
oenqueue!`2`x`(S,%)->S`cQueueAggregate(S)``496652
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``496739
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``496982
oenterPointData`2`x`(%,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``497173
oentries`1`n`(%)->List(NonNegativeInteger)`dLoop``497377
oentries`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oentries`1`n`(S)->List(Entry)`xIndexedAggregate&(S,Index,Entry)``0
oentries`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oentries`1`x`(%)->List(Entry)`cIndexedAggregate(Index,Entry)``497447
oentry?`2`n`(Entry,S)->Boolean`xIndexedAggregate&(S,Index,Entry)``0
oentry?`2`x`(Entry,%)->Boolean`cIndexedAggregate(Index,Entry)`AND(has(%,finiteAggregate),has(Entry,BasicType))`497549
oenumerate`0`n`()->List(S)`xFinite&(S)``0
oenumerate`0`n`()->Vector(%)`dSetOfMIntegersInOneToN(m,n)``497639
oenumerate`0`x`()->List(%)`cFinite``497735
oenvironment`4`n`(String,String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`dFormatLaTeX``497798
oenvironment`4`n`(String,String,String,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`dFormatMathJax``498076
oepilogue`1`n`(%)->List(String)`dTexFormat``498354
oepilogue`1`n`(%)->OutputBox`dFormatter(F)``498434
oePseudoscalar`0`x`()->%`dCliffordAlgebra(n,K,bLin)``498604
oEpsilon`0`n`()->Symbol`pMathematicalSymbols``498629
oepsilon`0`n`()->Symbol`pMathematicalSymbols``498702
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oeq?`2`x`(%,%)->Boolean`cAggregate``498773
oEQ`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``498846
oeq`2`x`(%,%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``498937
oeqRep?`2`n`(%,%)->Boolean`dJetLazyFunction(JB,D)``499025
oequal?`4`n`(%,List(NonNegativeInteger),%,List(NonNegativeInteger))->Boolean`dLinearMultivariateMatrixPencil(R)``499224
oequality`2`x`(%,(%,%)->Boolean)->%`dBasicOperator``499390
oequation`2`x`(S,S)->%`dEquation(S)``499686
oequation`2`x`(Symbol,Segment(S))->%`dSegmentBinding(S)``499736
oequation`2`x`(Symbol,String)->%`dQueryEquation``499909
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``499963
oerf`1`x`(%)->%`cLiouvillianFunctionCategory``500011
oerf`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``500162
oerf`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerf`1`x`(Float)->Float`pFloatLiouvilianFunctions``500210
oerfi`1`n`(F)->F`pLiouvillianFunction(R,F)``500258
oerfi`1`x`(%)->%`cLiouvillianFunctionCategory``500311
oerfi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``500364
oerfi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerfi`1`x`(Float)->Float`pFloatLiouvilianFunctions``500417
oerror?`1`n`(%)->Boolean`cAIntervalCategory(R)``500470
oerror?`1`n`(S)->Boolean`xAIntervalCategory&(S,R)``0
oerror`1`x`(List(String))->Exit`pErrorFunctions``500639
oerror`1`x`(String)->Exit`pErrorFunctions``500716
oerror`2`x`(String,List(String))->Exit`pErrorFunctions``500791
oerror`2`x`(String,String)->Exit`pErrorFunctions``500953
oerrorInfo`1`x`(%)->List(Symbol)`dOpenMathError``501119
oerrorKind`1`x`(%)->OpenMathErrorKind`dOpenMathError``501192
oEta`0`n`()->Symbol`pMathematicalSymbols``501272
oeta`0`n`()->Symbol`pMathematicalSymbols``501337
oeuclideanGroebner`1`x`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``501400
oeuclideanGroebner`2`x`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``501557
oeuclideanGroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``501888
oeuclideanNormalForm`2`x`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``502187
oeuclideanSize`1`n`(S)->NonNegativeInteger`xComplexCategory&(S,R)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xField&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xIntegerNumberSystem&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oeuclideanSize`1`x`(%)->NonNegativeInteger`cEuclideanDomain``502370
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``502481
oeuler`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``502791
oeulerE`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`502938
oeulerPhi`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``503027
oeval_at`4`n`(U32Vector,Integer,Integer,Integer)->Integer`pU32VectorPolynomialOperations``503243
oeval_with_timeout`2`n`(()->S,Integer)->Union(S,"failed")`pTimeoutPackage(S)``503411
oeval`1`n`(%)->%`dJetLazyFunction(JB,D)``503597
oeval`1`x`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``503704
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``503774
oeval`2`n`(%,D)->D`dJetVectorField(JB,D)``503998
oeval`2`n`(%,F)->F`dMoebiusTransform(F)``504083
oeval`2`n`(%,JetVectorField(JB,D))->D`dJetDifferential(JB,D)``504227
oeval`2`n`(%,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``504318
oeval`2`n`(A,Equation(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,Equation(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(A,List(Equation(A)))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,List(Equation(S)))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(S,Equation(R))->S`xEvalable&(S,R)``0
oeval`2`n`(S,Equation(R))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xExpressionSpace2&(S,K)``0
oeval`2`n`(S,Equation(S))->S`xFunctionSpace2&(S,R,K)``0
oeval`2`n`(S,Equation(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,Equation(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xEvalable&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xExpressionSpace2&(S,K)``0
oeval`2`n`(S,List(Equation(S)))->S`xFunctionSpace2&(S,R,K)``0
oeval`2`n`(S,List(Equation(S)))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,List(Equation(S)))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(Stream(M),R)->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)`has(M,RightModule(R))`504462
oeval`2`x`(%,%)->%`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`504607
oeval`2`x`(%,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(^,Coef(Coef,Expon)))`504690
oeval`2`x`(%,Equation(R))->%`cEvalable(R)``504809
oeval`2`x`(%,List(%))->%`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`504881
oeval`2`x`(%,List(Equation(R)))->%`cEvalable(R)``504981
oeval`2`x`(%,S)->S`cPermutationCategory(S)``505073
oeval`2`x`(Distribution(R),UPS)->S`pDistributionPolynomialPackage(R,S,UPS)``505161
oeval`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``505305
oeval`2`x`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``505423
oeval`2`x`(MxN,(M,N)->S)->S`cTensorProductProperty(R,M,N,MxN,S)``505678
oeval`3`n`(A,A,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(A),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(R))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`3`n`(A,List(V),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(V),List(R))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,S)->A`xHomogeneousAggregate&(A,S)``0
oeval`3`n`(A,V,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,V,R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(S,A,B)->S`xInnerEvalable&(S,A,B)``0
oeval`3`n`(S,BasicOperator,(List(S))->S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,BasicOperator,(List(S))->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,BasicOperator,(S)->S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,BasicOperator,(S)->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,K,S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,K,S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(A),List(B))->S`xInnerEvalable&(S,A,B)``0
oeval`3`n`(S,List(BasicOperator),List((List(S))->S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(BasicOperator),List((List(S))->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(BasicOperator),List((S)->S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(BasicOperator),List((S)->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(K),List(S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(K),List(S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(R),List(R))->S`xEvalable&(S,R)``0
oeval`3`n`(S,List(R),List(R))->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,List(S),List(S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(S),List(S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(S),List(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,List(S),List(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,List(SingletonAsOrderedSet),List(R))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,List(SingletonAsOrderedSet),List(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,List(Symbol),List((List(S))->S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(Symbol),List((List(S))->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(Symbol),List((S)->S))->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,List(Symbol),List((S)->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,List(Symbol),List(R))->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,List(VarSet),List(R))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,List(VarSet),List(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,R,R)->S`xEvalable&(S,R)``0
oeval`3`n`(S,R,R)->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,S,S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,S,S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,S,S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,SingletonAsOrderedSet,R)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,SingletonAsOrderedSet,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,Symbol,(List(S))->S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,Symbol,(List(S))->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,Symbol,(S)->S)->S`xExpressionSpace2&(S,K)``0
oeval`3`n`(S,Symbol,(S)->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`3`n`(S,Symbol,R)->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,VarSet,R)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,VarSet,S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(UPUP,Fraction(UP),Fraction(UP))->UPUP`pChangeOfVariable(F,UP,UPUP)``505777
oeval`3`x`(%,A,B)->%`cInnerEvalable(A,B)``505851
oeval`3`x`(%,BasicOperator,(%)->%)->%`cExpressionSpace2(K)``505922
oeval`3`x`(%,BasicOperator,(List(%))->%)->%`cExpressionSpace2(K)``506022
oeval`3`x`(%,List(A),List(B))->%`cInnerEvalable(A,B)``506157
oeval`3`x`(%,List(BasicOperator),List((%)->%))->%`cExpressionSpace2(K)``506254
oeval`3`x`(%,List(BasicOperator),List((List(%))->%))->%`cExpressionSpace2(K)``506394
oeval`3`x`(%,List(Symbol),List((%)->%))->%`cExpressionSpace2(K)``506571
oeval`3`x`(%,List(Symbol),List((List(%))->%))->%`cExpressionSpace2(K)``506711
oeval`3`x`(%,List(VarSet),List(%))->%`cFreeLieAlgebra(VarSet,R)``506888
oeval`3`x`(%,Symbol,(%)->%)->%`cExpressionSpace2(K)``506999
oeval`3`x`(%,Symbol,(List(%))->%)->%`cExpressionSpace2(K)``507099
oeval`3`x`(%,VarSet,%)->%`cFreeLieAlgebra(VarSet,R)``507234
oeval`3`x`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``507305
oeval`3`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``507524
oeval`4`n`(S,BasicOperator,S,Symbol)->S`xFunctionSpace2&(S,R,K)``0
oeval`4`n`(S,List(BasicOperator),List(S),Symbol)->S`xFunctionSpace2&(S,R,K)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((List(S))->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((S)->S))->S`xFunctionSpace2&(S,R,K)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(List(S))->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(S)->S)->S`xFunctionSpace2&(S,R,K)``0
oeval`4`x`(%,BasicOperator,%,Symbol)->%`cFunctionSpace2(R,K)`has(R,ConvertibleTo(InputForm))`507605
oeval`4`x`(%,List(BasicOperator),List(%),Symbol)->%`cFunctionSpace2(R,K)`has(R,ConvertibleTo(InputForm))`507743
oeval`4`x`(%,List(Symbol),List(NonNegativeInteger),List((%)->%))->%`cFunctionSpace2(R,K)`has(R,Ring)`507921
oeval`4`x`(%,List(Symbol),List(NonNegativeInteger),List((List(%))->%))->%`cFunctionSpace2(R,K)`has(R,Ring)`508079
oeval`4`x`(%,Symbol,NonNegativeInteger,(%)->%)->%`cFunctionSpace2(R,K)`has(R,Ring)`508267
oeval`4`x`(%,Symbol,NonNegativeInteger,(List(%))->%)->%`cFunctionSpace2(R,K)`has(R,Ring)`508372
oeval1`1`n`(%)->%`dJetLazyFunction(JB,D)``508507
oeval1`4`n`(MP,Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Union(MP,"failed")`cModularEvaluationCategory(PT,MP)``508619
oeval1`4`n`(Polynomial(Integer),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Polynomial(Integer)`pPolynomialEvaluationUtilities``508754
oeval1`4`n`(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``508945
oeval1a`3`n`(Polynomial(Integer),Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Integer`pPolynomialEvaluationUtilities``509157
oevaluate`1`x`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``509390
oevaluate`2`n`(%,(R)->R)->%`dOperator(R)``0
oevaluate`2`x`(%,(M)->M)->%`dModuleOperator(R,M)``509512
oevaluate`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``509833
oevaluate`2`x`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``510063
oevaluate`2`x`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``510288
oevaluateInverse`2`n`(%,(R)->R)->%`dOperator(R)``0
oevaluateInverse`2`x`(%,(M)->M)->%`dModuleOperator(R,M)``510458
oeven?`1`n`(S)->Boolean`xExpressionSpace2&(S,K)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`x`(%)->Boolean`cExpressionSpace2(K)`has(%,RetractableTo(Integer))`510508
oeven?`1`x`(%)->Boolean`cIntegerNumberSystem``510577
oeven?`1`x`(%)->Boolean`dPermutation(S)``510653
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``510782
oevenlambert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
oevenlambert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``510928
oevenlambert`1`n`(Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)``511305
oevery?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oevery?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oevery?`2`x`((S)->Boolean,%)->Boolean`cHomogeneousAggregate(S)`has(%,finiteAggregate)`511625
oexactQuotient!`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`511923
oexactQuotient!`2`x`(%,R)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`512006
oexactQuotient`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`512090
oexactQuotient`2`x`(%,R)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`512274
oexists?`1`x`(%)->Boolean`cFileNameCategory``512458
oexp_frac`3`n`(Integer,Integer,PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``0
oexp_lower_bound`7`n`(SparseUnivariatePolynomial(F),LaurentPolynomial(F,SparseUnivariatePolynomial(F)),Integer,Integer,List(Kernel(F)),F,(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Integer`pParametricRischDE(R,F)``512528
oexp_series`2`n`(Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``0
oexp`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``512814
oexp`1`n`(F)->F`pElementaryFunction(R,F)``512881
oexp`1`n`(LiePolynomial(VarSet,R))->%`dLieExponentials(VarSet,R,Order)``512947
oexp`1`n`(List(Integer))->%`dAntiSymm(R,lVar)``513005
oexp`1`n`(S)->S`xComplexCategory&(S,R)``0
oexp`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesTranscendentalFunctions(Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``513077
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``513153
oexp`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``513229
oexp`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``513302
oexp`1`x`(%)->%`cElementaryFunctionCategory``513377
oexp`2`n`(%,NonNegativeInteger)->%`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`513440
oexp`2`n`(Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``513534
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``513634
oexp0`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``513723
oexp1`0`x`()->%`dDoubleFloat``513918
oexp1`0`x`()->%`dFloat``513991
oexp1`1`n`(PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``514051
oexpa`1`n`(%)->IntegerMod(n)`dDihedralGroup(n,a,b)``514142
oexpand`1`n`(%)->XDistributedPolynomial(Symbol,R)`dXPolynomial(R)``0
oexpand`1`n`(%)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``514234
oexpand`1`x`(%)->L`cSegmentExpansionCategory(S,L)``514296
oexpand`1`x`(%)->R`dFactored(R)``514475
oexpand`1`x`(F)->F`pTranscendentalManipulations(R,F)``514686
oexpand`1`x`(List(%))->L`cSegmentExpansionCategory(S,L)``515092
oexpand`2`n`(Expression(R2),PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``515326
oexpand`2`x`(IntegrationResult(F),Symbol)->List(F)`pIntegrationResultToFunction(R,F)``515426
oexpand`2`x`(IntegrationResult(Fraction(Polynomial(R))),Symbol)->List(Expression(R))`pIntegrationResultRFToFunction(R)``515536
oexpandLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``515646
oexpandPower`1`x`(F)->F`pTranscendentalManipulations(R,F)``515810
oexpandTrigProducts`1`x`(F)->F`pTranscendentalManipulations(R,F)`AND(has(R,ConvertibleTo(Pattern(R))),has(R,PatternMatchable(R)),has(F,ConvertibleTo(Pattern(R))),has(F,PatternMatchable(R)))`515923
oexpb`1`n`(%)->IntegerMod(2)`dDihedralGroup(n,a,b)``516298
oexpextint`4`n`((UP)->UP,(Integer,List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``516399
oexpIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``516645
oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``516730
oexpintegrate`4`n`(Fraction(UP),(UP)->UP,(Fraction(UP))->Record(answer:Fraction(UP),logpart:Fraction(UP),ir:IntegrationResult(Fraction(UP))),(Integer,F)->Record(ans:F,right:F,primpart:F,sol?:Boolean))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``516820
oexplicitEntries?`1`x`(%)->Boolean`cLazyStreamAggregate(S)``517033
oexplicitlyEmpty?`1`x`(%)->Boolean`cLazyStreamAggregate(S)``517171
oexplicitlyFinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`x`(%)->Boolean`cStreamAggregate(S)``517336
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``517534
oexponent`1`n`(%)->E`dModuleMonomial(IS,E,ff)``517671
oexponent`1`n`(%)->Integer`dCyclicGroup(n,g)``517711
oexponent`1`n`(%)->Integer`dInfiniteCyclicGroup(g)``517788
oexponent`1`n`(%)->Integer`dMachineFloat``517865
oexponent`1`n`(%)->NonNegativeInteger`dIntegerLocalizedAtPrime(p)``517924
oexponent`1`n`(%)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``518079
oexponent`1`x`(%)->Integer`cFloatingPointSystem``518133
oexponenta`1`n`(%)->Integer`dDihedralGroup(n,a,b)``518233
oexponentb`1`n`(%)->Integer`dDihedralGroup(n,a,b)``518341
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``518458
oexponential`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->%`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``518501
oexponential1`0`n`()->Float`pRandomFloatDistributions``518637
oexponentialOrder`1`n`(%)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``518680
oexponents`1`n`(%)->List(Integer)`dExtAlgBasis``518792
oexports`1`n`(SExpression)->Record(cats:List(Record(form:SExpression,condition:SExpression)),ops:List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))))`pBrowserInformation``518953
oexposed_constructor?`1`n`(Symbol)->Boolean`pBrowserInformation``519019
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``519138
oexpr_to_series`3`n`(Expression(Integer),Kernel(Expression(Integer)),Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(degree:OrderedExpression,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``519584
oexpressIdealMember`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
oexpressIdealMember`2`x`(List(%),%)->Union(List(%),"failed")`cPrincipalIdealDomain``519674
oexpression2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``519875
oexpression2Fortran1`3`n`(()->Symbol,OutputForm,Boolean)->List(String)`pFortranCodeTools``519912
oexprex`1`n`(OutputForm)->String`dHTMLFormat``519970
oEXPRR2F`1`n`(Expression(Integer))->F`pGuessFiniteFunctions(F)``0
oEXPRR2F`1`n`(Expression(Integer))->Fraction(Polynomial(R))`pGuessPolynomialFunctions(R)``0
oexprToGenUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``520046
oexprToGenUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``522076
oexprToPS`5`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``524106
oexprToPS`5`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``524294
oexprToPS`8`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE,(FE)->Boolean,(FE)->Boolean,(FE)->Boolean)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``524482
oexprToPS`8`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE,(FE)->Boolean,(FE)->Boolean,(FE)->Boolean)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``524831
oexprToUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``525180
oexprToUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``527197
oexprToXXP`2`n`(FE,Boolean)->Union(%expansion:ExponentialExpansion(R,FE,x,cen),%problem:Record(func:String,prob:String))`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``529214
oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``529524
oexquo`2`n`(%,%)->%`dOutputForm``529583
oexQuo`2`n`(%,%)->Union(%,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``529644
oexQuo`2`n`(%,%)->Union(%,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``529684
oexQuo`2`n`(%,%)->Union(%,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``529724
oexquo`2`n`(S,R)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xMatrixCategory&(S,R,Row,Col)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xEuclideanDomain&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xField&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oexquo`2`n`(Stream(A),Stream(A))->Union(Stream(A),"failed")`dStreamTaylorSeriesOperations(A)``529764
oexquo`2`x`(%,%)->Union(%,"failed")`cEntireRing``529896
oexquo`2`x`(%,%)->Union(%,"failed")`dNonNegativeInteger``530025
oexquo`2`x`(%,R)->Union(%,"failed")`cComplexCategory(R)`has(R,IntegralDomain)`530163
oexquo`2`x`(%,R)->Union(%,"failed")`cFiniteAbelianMonoidRing(R,E)`has(R,EntireRing)`530299
oexquo`2`x`(%,R)->Union(%,"failed")`cMatrixOperationsCategory(R,Row,Col)`has(R,IntegralDomain)`530415
oexquo`2`x`(%,R)->Union(%,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`530561
oextend`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oextend`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`x`(%,Expon)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``530683
oextend`2`x`(%,Integer)->%`cLazyStreamAggregate(S)``530784
oextend`2`x`(%,Integer)->%`cPAdicIntegerCategory(p)``531015
oextend`2`x`(%,Integer)->%`dContinuedFraction(R)``531097
oextend`2`x`(%,List(R))->%`cPointCategory(R)``531255
oextend`2`x`(%,NonNegativeInteger)->%`cMultivariateTaylorSeriesCategory(Coef,Var)``531299
oextend`2`x`(%,P)->%`cTriangularSetCategory(R,E,V,P)``531393
oextend`2`x`(List(P),%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``531682
oextend`2`x`(List(P),List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``531839
oextend`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``531936
oextend`2`x`(P,List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``532229
oextended_gcd`3`n`(U32Vector,U32Vector,Integer)->List(U32Vector)`pU32VectorPolynomialOperations``532324
oextendedALS`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``532609
oextendedCoords`1`n`(%)->List(DoubleFloat)`cSPointCategory``532716
oextendedEuclidean`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xEuclideanDomain&(S)``0
oextendedEuclidean`2`x`(%,%)->Record(coef1:%,coef2:%,generator:%)`cEuclideanDomain``532789
oextendedEuclidean`3`n`(S,S,S)->Union(Record(coef1:S,coef2:S),"failed")`xEuclideanDomain&(S)``0
oextendedEuclidean`3`x`(%,%,%)->Union(Record(coef1:%,coef2:%),"failed")`cEuclideanDomain``533174
oextendedint`3`n`(F,Symbol,List(F))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pParametricIntegration(R,F)``533384
oextendedint`3`n`(Symbol,List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricIntegration(R,F)``533685
oextendedint`4`n`(F,Symbol,List(Kernel(F)),List(F))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pParametricIntegration(R,F)``533893
oextendedLLL!`2`n`(Matrix(Integer),NonNegativeInteger)->Matrix(Integer)`pLLLReduction``534120
oextendedLLL`1`n`(Matrix(Integer))->Record(lll:Matrix(Integer),trf:Matrix(Integer))`pLLLReduction``534460
oextendedResultant`2`n`(%,%)->Record(resultant:R,coef1:%,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`534667
oextendedSubResultantGcd`2`n`(%,%)->Record(gcd:%,coef1:%,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`534824
oextendedSubResultantGcd`2`x`(%,%)->Record(gcd:%,coef1:%,coef2:%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`535005
oextendIfCan`2`x`(%,P)->Union(%,"failed")`cTriangularSetCategory(R,E,V,P)``535168
oextendToPoint`2`n`(%,PT)->%`dSBoundary(PT)``535722
oextension`1`x`(%)->String`cFileNameCategory``535881
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``535948
oextensionDegree`0`x`()->OnePointCompletion(PositiveInteger)`cExtensionField(F)``536019
oextensionDegree`0`x`()->PositiveInteger`cFiniteAlgebraicExtensionField(F)``536158
oexteriorDifferential`1`n`(%)->%`dDeRhamComplex(CoefRing,listIndVar)``536229
oexternal?`1`n`(%)->Boolean`dFortranType``536370
oexternalList`1`n`(%)->List(Symbol)`dSymbolTable``536456
oextract!`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oextract!`1`x`(%)->S`cBagAggregate(S)``536545
oextract`3`n`(%,Integer,Integer)->%`dSparseEchelonMatrix(C,D)``536628
oextractBottom!`1`x`(%)->S`cDequeueAggregate(S)``536736
oextractClosed`1`n`(%)->Boolean`dSubSpace(n,R)``536873
oextractIfCan`1`n`(Key)->Union(Entry,"failed")`pTabulatedComputationPackage(Key,Entry)``537103
oextractIndex`1`n`(%)->NonNegativeInteger`dSubSpace(n,R)``537174
oextractPoint`1`n`(%)->Point(R)`dSubSpace(n,R)``537302
oextractProperty`1`n`(%)->SubSpaceComponentProperty`dSubSpace(n,R)``537461
oextractSplittingLeaf`1`n`(%)->Union(%,"failed")`dSplittingTree(V,C)``537612
oextractSymbol`1`n`(SparseEchelonMatrix(JB,%))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``537753
oextractSymbol`1`n`(SparseEchelonMatrix(JB,S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
oextractSymbol`2`n`(%,Boolean)->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``537839
oextractTop!`1`x`(%)->S`cDequeueAggregate(S)``538030
oeyeDistance`2`x`(%,Float)->Void`dThreeDimensionalViewport``538162
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``538357
oF2EXPRR`1`n`(F)->Expression(Integer)`pGuessFiniteFunctions(F)``0
oF2EXPRR`1`n`(Fraction(Polynomial(R)))->Expression(Integer)`pGuessPolynomialFunctions(R)``0
oF2FG`1`n`(F)->FG`pInnerTrigonometricManipulations(R,F,FG)``538393
ofaceMap`2`n`(%,NonNegativeInteger)->List(List(Integer))`dDeltaComplex(VS)``538452
ofactor`1`n`(%)->List(%)`dFreeDivisionAlgebra(VAR,F)``538701
ofactor`1`n`(%)->List(%)`dILogic``538879
ofactor`1`n`(%)->List(%)`dLatticeJoinOfMeets``539220
ofactor`1`n`(%)->List(%)`dLatticeMeetOfJoins``539561
ofactor`1`n`(FreeMonoid(VarSet))->List(%)`dLyndonWord(VarSet)``539902
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``539982
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`540057
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``540113
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``540210
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``540342
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``540417
ofactor`1`n`(S)->Factored(S)`xComplexCategory&(S,R)``0
ofactor`1`n`(S)->Factored(S)`xField&(S)``0
ofactor`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
ofactor`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ofactor`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
ofactor`1`n`(UP)->Factored(UP)`pComplexRootFindingPackage(R,UP)``540508
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``540814
ofactor`1`n`(UP)->Factored(UP)`pUnivariateFiniteFieldFactorize(F,UP)``540895
ofactor`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)`has(F,PolynomialFactorizationExplicit)`540959
ofactor`1`x`(%)->Factored(%)`cUniqueFactorizationDomain``541172
ofactor`1`x`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``541253
ofactor`1`x`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``541355
ofactor`1`x`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``541452
ofactor`1`x`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``541573
ofactor`1`x`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``541657
ofactor`1`x`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``541842
ofactor`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``542066
ofactor`1`x`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``542178
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``542245
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``542367
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``542474
ofactor`2`n`(SparseUnivariatePolynomial(F),List(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``542621
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``542774
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``543004
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``543200
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``543359
ofactor`2`x`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``543597
ofactor`2`x`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``543735
ofactor`2`x`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``543954
ofactor`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)),List(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),List(Expression(Integer)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``544104
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``544135
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``544386
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``544609
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`544919
ofactorAndSplit`1`x`(%)->List(%)`dEquation(S)`has(S,IntegralDomain)`545025
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``545202
ofactorFraction`1`x`(%)->Fraction(Factored(S))`dFraction(S)`has(S,UniqueFactorizationDomain)`545429
ofactorGroebnerBasis`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``545529
ofactorGroebnerBasis`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``545675
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``545912
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`x`(%)->%`cCombinatorialFunctionCategory``546003
ofactorial`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``546166
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``546320
ofactorials`1`x`(%)->%`cCombinatorialOpsCategory``546424
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``546528
ofactorials`2`x`(%,Symbol)->%`cCombinatorialOpsCategory``546654
ofactorizationEquations`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``546780
ofactorizationGroebner`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``546876
ofactorizationSolve`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(List(Equation(Polynomial(F))))`dFreeDivisionAlgebra(VAR,F)``546971
ofactorizationTransformations`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(Equation(Polynomial(F))))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``547182
ofactorize`2`n`(%,NonNegativeInteger)->List(%)`dFreeDivisionAlgebra(VAR,F)``547288
ofactorList`1`x`(%)->List(Record(flag:Union("nil","sqfr","irred","prime"),factor:R,exponent:NonNegativeInteger))`dFactored(R)``547434
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``547530
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``547581
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``547716
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``547800
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``547976
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``548115
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``548350
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``548699
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xFiniteFieldCategory&(S)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(%))->Factored(SparseUnivariatePolynomial(%))`cPolynomialFactorizationExplicit``548817
ofactors`1`n`(%)->List(%)`dFreeDivisionAlgebra(VAR,F)``548934
ofactors`1`n`(%)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``549064
ofactors`1`n`(%)->List(Record(gen:S,exp:NonNegativeInteger))`dFreeMonoid(S)``549149
ofactors`1`x`(%)->List(Record(factor:R,exponent:NonNegativeInteger))`dFactored(R)``549234
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``549524
ofactorsOfCyclicGroupSize`0`x`()->List(Record(factor:Integer,exponent:NonNegativeInteger))`cFiniteFieldCategory``549603
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``549689
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``549801
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``549913
ofactorSquareFree`1`n`(UP)->Factored(UP)`pUnivariateFiniteFieldFactorize(F,UP)``550057
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``550161
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``550438
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``550678
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``551010
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``551314
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xFiniteFieldCategory&(S)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorSquareFreePolynomial`1`x`(SparseUnivariatePolynomial(%))->Factored(SparseUnivariatePolynomial(%))`cPolynomialFactorizationExplicit``551595
ofailed?`1`n`(%)->Boolean`dPatternMatchListResult(R,S,L)``551791
ofailed?`1`n`(%)->Boolean`dPatternMatchResult(R,S)``551853
ofailed`0`n`()->%`dPatternMatchListResult(R,S,L)``551915
ofailed`0`n`()->%`dPatternMatchResult(R,S)``551962
ofalse`0`x`()->%`cLogic``552009
offfg`3`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``552052
offfg`4`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``552134
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``552949
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``553008
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``553165
ofibonacci`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``553324
ofilename`3`x`(String,String,String)->%`cFileNameCategory``553645
ofill!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
ofill!`2`n`(S,Entry)->S`xIndexedAggregate&(S,Index,Entry)``0
ofill!`2`n`(S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ofill!`2`x`(%,Entry)->%`cIndexedAggregate(Index,Entry)`has(%,shallowlyMutable)`553892
ofill!`2`x`(%,R)->%`cTwoDimensionalArrayCategory(R,Row,Col)``554017
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``554081
ofilter_ops`2`n`(SExpression,List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))))->List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))`pBrowserInformation``554140
ofilter_symbols`2`n`(SExpression,List(Symbol))->List(Symbol)`pBrowserInformation``554235
ofilterUntil`2`x`((S)->Boolean,%)->%`dInfiniteTuple(S)``554338
ofilterUntil`2`x`((S)->Boolean,%)->%`dStream(S)``554416
ofilterWhile`2`x`((S)->Boolean,%)->%`dInfiniteTuple(S)``554583
ofilterWhile`2`x`((S)->Boolean,%)->%`dStream(S)``554657
ofind_relation`2`n`(List(Float),NonNegativeInteger)->List(Integer)`pLLLReduction``554827
ofind`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Union(Record(key:Key,entry:Entry),"failed")`xTableAggregate&(S,Key,Entry)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xCollection&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xListAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xOneDimensionalArrayAggregate&(A,S)``0
ofind`2`x`((S)->Boolean,%)->Union(S,"failed")`cCollection(S)``554957
ofindCycle`2`x`(NonNegativeInteger,%)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``555083
ofindNode`2`n`(%,String)->Scene(PT)`dSceneNamedPoints(PT)``555160
ofindNonZeroEntry`3`n`(Matrix(F),NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`pXDistributedPolynomialFunctions(VAR,F)``555213
ofindPoint`2`n`(%,String)->PT`dSceneNamedPoints(PT)``555421
ofinite?`1`x`(%)->Boolean`dCardinalNumber``555503
ofinite?`1`x`(%)->Boolean`dOnePointCompletion(R)``555615
ofinite?`1`x`(%)->Boolean`dOrderedCompletion(R)``555669
ofiniteBasis`1`n`(%)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``555723
ofiniteLattice`1`n`(NonNegativeInteger)->%`dFiniteLattice(S,p)``555810
ofiniteLattice`1`n`(S)->%`dFiniteLattice(S,p)``555861
ofinitePoset`2`n`(List(S),(S,S)->Boolean)->%`cPoset(S)``555913
ofinitePoset`2`n`(List(S),List(List(Boolean)))->%`cPoset(S)``556063
ofintegrate`3`n`(()->%,Var,Coef)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`556162
ofintegrate`3`x`(()->%,Symbol,Coef)->%`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`556372
ofirst`1`n`(%)->A`dProduct(A,B)``556582
ofirst`1`n`(%)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``556644
ofirst`1`n`(%)->S`dFreeMonoid(S)``556718
ofirst`1`n`(%)->VarSet`dFreeMagma(VarSet)``556779
ofirst`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ofirst`1`n`(A)->S`xLinearAggregate&(A,S)``0
ofirst`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ofirst`1`n`(S)->Entry`xIndexedAggregate&(S,Index,Entry)``0
ofirst`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
ofirst`1`x`(%)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`556848
ofirst`1`x`(%)->S`cUnaryRecursiveAggregate(S)``557005
ofirst`1`x`(%)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``557113
ofirst`2`n`(%,NonNegativeInteger)->%`cSequenceCategory(R)``557263
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xLinearAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
ofirst`2`x`(%,NonNegativeInteger)->%`cLinearAggregate(S)``557340
ofirst`2`x`(%,NonNegativeInteger)->%`cUnaryRecursiveAggregate(S)``557477
ofirstn`2`n`(%,NonNegativeInteger)->List(R)`cSequenceCategory(R)``557562
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``557634
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``557751
ofixed_mr`3`n`(Record(mantissa:Integer,exponent:Integer),Integer,Record(default?:Boolean,trim_trailing_zeros?:Boolean,out_mode:String,spacing:Integer,separator:Character))->String`pFloatingPointConvertion``558060
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``558118
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``558366
ofixedPoints`1`x`(%)->Set(S)`dPermutation(S)`has(S,Finite)`558488
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``558571
oflagFactor`3`x`(R,NonNegativeInteger,Union("nil","sqfr","irred","prime"))->%`dFactored(R)``558659
oflatten`1`n`(%)->%`dInputForm``558833
oflatten`1`n`(DirectedGraph(%))->%`cFiniteGraph(S)``559071
oflatten`1`n`(DirectedGraph(A))->A`xPoset&(A,S)``0
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``559261
oflexible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``559474
oflexibleArray`1`n`(List(S))->%`dIndexedFlexibleArray(S,mn)``559687
oflexibleArray`1`x`(List(S))->%`dFlexibleArray(S)``0
ofloat?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``559778
ofloat`1`x`(%)->Flt`cSExpressionCategory(Str,Sym,Int,Flt)``559866
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`x`(Integer,Integer)->%`cFloatingPointSystem``560002
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`x`(Integer,Integer,PositiveInteger)->%`cFloatingPointSystem``560059
ofloating_mr`3`n`(Record(mantissa:Integer,exponent:Integer),Integer,Record(default?:Boolean,trim_trailing_zeros?:Boolean,out_mode:String,spacing:Integer,separator:Character))->String`pFloatingPointConvertion``560114
ofloor`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``560189
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`x`(%)->%`cRealNumberSystem``560265
ofloor`1`x`(%)->%`cSpecialFunctionCategory``560328
ofloor`1`x`(%)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`560404
oflush`1`n`(%)->Void`dBasicFile``560480
oflush`1`x`(%)->Void`cFileCategory(Name,S)``560550
ofmecg`4`n`(S,E,R,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
ofmecg`4`x`(%,E,R,%)->%`cFiniteAbelianMonoidRing(R,E)`has(R,Ring)`560643
oforLoop`2`n`(SegmentBinding(Polynomial(Integer)),%)->%`dFortranCode``560718
oforLoop`3`n`(SegmentBinding(Polynomial(Integer)),Polynomial(Integer),%)->%`dFortranCode``560845
oformalDiff`2`n`(%,List(NonNegativeInteger))->%`cJetBundleFunctionCategory(JB)``560987
oformalDiff`2`n`(%,PositiveInteger)->%`cJetBundleFunctionCategory(JB)``561095
oformalDiff`2`n`(List(%),PositiveInteger)->List(%)`cJetBundleFunctionCategory(JB)``561225
oformalDiff`2`n`(List(S),PositiveInteger)->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(S,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(S,PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff2`3`n`(%,PositiveInteger,SparseEchelonMatrix(JB,%))->Record(DPhi:%,JVars:List(JB))`cJetBundleFunctionCategory(JB)``561371
oformalDiff2`3`n`(List(%),PositiveInteger,SparseEchelonMatrix(JB,%))->Record(DSys:List(%),JVars:List(List(JB)))`cJetBundleFunctionCategory(JB)``561646
oformalDiff2`3`n`(List(S),PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DSys:List(S),JVars:List(List(JB)))`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff2`3`n`(S,PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DPhi:S,JVars:List(JB))`xJetBundleFunctionCategory&(S,JB)``0
oformat`1`n`(%)->OutputBox`dFormatter(F)``561748
oformat`1`n`(OutputForm)->%`dFormatter(F)``561827
oFormatArabic`1`n`(PositiveInteger)->String`pNumberFormats``561911
oformatConstant`1`n`(String)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``561998
oformatConstant`1`n`(String)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``562074
oformatExpression`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``562150
oformatExpression`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``562375
oformatExpression`1`n`(OutputForm)->OutputBox`cFormatterCategory``562600
oformatExpression`1`n`(OutputForm)->OutputBox`xFormatterCategory&(S)``562687
oformatExpression`2`n`(OutputForm,Integer)->OutputBox`cFormatterCategory``562774
oformatExpression`2`n`(OutputForm,Integer)->OutputBox`xFormatterCategory&(S)``563386
oformatFloat`1`n`(String)->OutputBox`cFormatterCategory``563998
oformatFloat`1`n`(String)->OutputBox`xFormatterCategory&(S)``564115
oformatFunction`2`n`(OutputBox,List(OutputBox))->OutputBox`cFormatterCategory``564232
oformatFunction`2`n`(OutputBox,List(OutputBox))->OutputBox`xFormatterCategory&(S)``564445
oformatFunctionSymbol`1`n`(String)->OutputBox`cFormatterCategory``564658
oformatFunctionSymbol`1`n`(String)->OutputBox`xFormatterCategory&(S)``564742
oformatInteger`1`n`(Integer)->OutputBox`cFormatterCategory``564826
oformatInteger`1`n`(Integer)->OutputBox`xFormatterCategory&(S)``564877
oFormatRadix`2`n`(Integer,Integer)->String`pNumberFormats``564928
oFormatRoman`1`n`(PositiveInteger)->String`pNumberFormats``565019
oformatStep`2`n`(OutputForm,Integer)->%`dFormatter(F)``565103
oformatString`1`n`(String)->OutputBox`cFormatterCategory``565216
oformatString`1`n`(String)->OutputBox`xFormatterCategory&(S)``565264
oformatSymbol`1`n`(String)->OutputBox`cFormatterCategory``565312
oformatSymbol`1`n`(String)->OutputBox`xFormatterCategory&(S)``565360
ofort_clean_lines`1`n`(List(String))->List(String)`pFortranCodeTools``0
ofort_format_types`2`n`(String,List(OutputForm))->Void`pFortranCodeTools``565408
ofortFormatHead`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol))->Void`pFortranCodeTools``565457
ofortFormatTypeLines`2`n`(String,List(String))->Void`pFortranCodeTools``565510
ofortran`3`n`(Symbol,FortranScalarType,FS)->%`dSimpleFortranProgram(R,FS)``565557
ofortranCarriageReturn`0`n`()->Void`dFortranTemplate``565735
ofortranCharacter`0`n`()->%`dFortranType``565837
ofortranComplex`0`n`()->%`dFortranType``565915
ofortranDouble`0`n`()->%`dFortranType``565989
ofortranDoubleComplex`0`n`()->%`dFortranType``566071
ofortranInteger`0`n`()->%`dFortranType``566158
ofortranLiteral`1`n`(String)->Void`dFortranTemplate``566232
ofortranLiteralLine`1`n`(String)->Void`dFortranTemplate``566317
ofortranLogical`0`n`()->%`dFortranType``566437
ofortranReal`0`n`()->%`dFortranType``566511
ofortranTypeOf`2`n`(Symbol,%)->FortranType`dSymbolTable``566579
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``566651
ofracPart`1`x`(%)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``566690
ofraction`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``566781
ofractionalTerms`1`x`(%)->List(Record(num:R,d_fact:R,d_exp:NonNegativeInteger))`dPartialFraction(R)``567018
ofractionFreeGauss!`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`567202
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``567342
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`x`(%)->%`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`567413
ofractionPart`1`x`(%)->%`cRealNumberSystem``567540
ofractionPart`1`x`(%)->%`cSpecialFunctionCategory``567610
ofractionPart`1`x`(%)->Fraction(Integer)`dBinaryExpansion``567740
ofractionPart`1`x`(%)->Fraction(Integer)`dDecimalExpansion``567821
ofractionPart`1`x`(%)->Fraction(Integer)`dHexadecimalExpansion``567903
ofractionPart`1`x`(%)->Fraction(Integer)`dRadixExpansion(bb)``567989
ofractRadix`2`x`(List(Integer),List(Integer))->%`dRadixExpansion(bb)``568070
ofractRagits`1`x`(%)->Stream(Integer)`dRadixExpansion(bb)``568275
ofree?`1`n`(%)->Boolean`dLambda(UT)``568369
ofreeConvolution`2`n`(%,%)->%`cDistributionCategory(R)``568469
ofreeCumulant`2`n`(%,PositiveInteger)->R`cDistributionCategory(R)``568577
ofreeCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``568677
ofreeCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)``568794
ofreeMultiplicativeConvolution`2`x`(%,%)->%`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`568894
ofreeOf?`2`n`(%,JB)->Boolean`cJetBundleFunctionCategory(JB)``569037
ofreeOf?`2`n`(S,JB)->Boolean`xJetBundleFunctionCategory&(S,JB)``0
ofreeOf?`2`n`(S,S)->Boolean`xExpressionSpace2&(S,K)``0
ofreeOf?`2`n`(S,Symbol)->Boolean`xExpressionSpace2&(S,K)``0
ofreeOf?`2`x`(%,%)->Boolean`cExpressionSpace2(K)``569131
ofreeOf?`2`x`(%,Symbol)->Boolean`cExpressionSpace2(K)``569257
ofreePoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``569357
ofreeVariable?`2`n`(%,UT)->Boolean`dSKICombinators(UT)``569457
ofresnelC`1`n`(F)->F`pLiouvillianFunction(R,F)``569574
ofresnelC`1`x`(%)->%`cLiouvillianFunctionCategory``569638
ofresnelC`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``569758
ofresnelC`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelC`1`x`(Float)->Float`pFloatLiouvilianFunctions``569822
ofresnelS`1`n`(F)->F`pLiouvillianFunction(R,F)``569886
ofresnelS`1`x`(%)->%`cLiouvillianFunctionCategory``569950
ofresnelS`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``570070
ofresnelS`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelS`1`x`(Float)->Float`pFloatLiouvilianFunctions``570134
ofrobenius`1`n`(%)->%`dModMonic(R,Rep)`has(R,FiniteFieldCategory)`570198
oFrobenius`1`n`(ExtP)->ExtP`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``570285
oFrobenius`1`n`(S)->S`xExtensionField&(S,F)``0
oFrobenius`1`x`(%)->%`cExtensionField(F)`has(F,Finite)`570326
oFrobenius`2`n`(S,NonNegativeInteger)->S`xExtensionField&(S,F)``0
oFrobenius`2`x`(%,NonNegativeInteger)->%`cExtensionField(F)`has(F,Finite)`570414
ofront`1`x`(%)->S`cQueueAggregate(S)``570507
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`570657
ofrst`1`x`(%)->S`cLazyStreamAggregate(S)``570748
ofsqrt`1`n`(F)->F`pGenerateEllipticIntegrals(F,UP,UPUP,R)``570933
ofullDisplay`1`x`(%)->Void`dDatabase(S)``570988
ofullDisplay`1`x`(%)->Void`dIndexCard``571066
ofullDisplay`3`x`(%,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``571150
ofullPartialFraction`1`x`(Fraction(UP))->%`dFullPartialFractionExpansion(F,UP)``571269
ofunction`2`n`(Symbol,List(%))->%`dJetBundleXExpression(JB)``571428
ofunction`2`x`(S,Symbol)->Symbol`pMakeFunction(S)``571525
ofunction`3`n`(%,List(Symbol),Symbol)->%`dInputForm``571594
ofunction`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``571712
ofunction`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``571857
ofunction`3`n`(Symbol,List(%),NonNegativeInteger)->%`dJetBundleExpression(JB)``572002
ofunction`3`x`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``572167
ofunction`3`x`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``572262
ofunction`4`x`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``572335
ofunctionGraph`1`n`(List(Permutation(S)))->%`dFunctionGraph(S)``572413
ofunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:NonNegativeInteger,map:List(NonNegativeInteger))))->%`dFunctionGraph(S)``572465
ofunctionGraph`1`n`(List(S))->%`dFunctionGraph(S)``572569
ofunctionGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dFunctionGraph(S)``572839
ofunctionName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``572954
ofunctionName`1`x`(Symbol)->%`dGuessOption``573083
ofunctionNames`1`n`(List(GuessOption))->List(Symbol)`dGuessOptionFunctions0``573271
ofunctionNames`1`x`(List(Symbol))->%`dGuessOption``573407
ofundamentalGroup`1`n`(%)->GroupPresentation`dDeltaComplex(VS)``573564
ofundamentalGroup`1`n`(%)->GroupPresentation`dFiniteCubicalComplex(VS)``573629
ofundamentalGroup`1`n`(%)->GroupPresentation`dFiniteSimplicialComplex(VS)``574112
ofundamentalGroup`3`n`(%,Boolean,Boolean)->GroupPresentation`dDeltaComplex(VS)``574632
ofundamentalGroup`3`n`(%,Boolean,Boolean)->GroupPresentation`dFiniteCubicalComplex(VS)``574697
ofundamentalGroup`3`n`(%,Boolean,Boolean)->GroupPresentation`dFiniteSimplicialComplex(VS)``575223
oGamma`0`n`()->Symbol`pMathematicalSymbols``575786
ogamma`0`n`()->Symbol`pMathematicalSymbols``575855
ogamma`0`x`()->Complex(Float)`pFloatLiouvilianFunctions``575922
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``575966
oGamma`1`x`(%)->%`cSpecialFunctionCategory``576044
oGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
oGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``576096
oGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oGamma`1`x`(Float)->Float`pFloatSpecialFunctions``576148
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``576200
oGamma`2`x`(%,%)->%`cSpecialFunctionCategory``576291
ogauge`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``576351
ogaugeHilbert`2`n`(NonNegativeInteger,List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``576552
ogaussianDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``576711
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``576804
ogbasisExtend`4`n`(List(Dpol),List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``576881
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``577140
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``577215
ogcd`1`n`(List(S))->S`xEuclideanDomain&(S)``0
ogcd`1`n`(List(S))->S`xField&(S)``0
ogcd`1`n`(List(S))->S`xGcdDomain&(S)``0
ogcd`1`n`(List(S))->S`xJetBundleFunctionCategory&(S,JB)``0
ogcd`1`n`(List(S))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`1`n`(List(SparseUnivariatePolynomial(P)))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``577299
ogcd`1`x`(List(%))->%`cGcdDomain``577383
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``577472
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`577566
ogcd`2`n`(R,S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(S,S)->S`xEuclideanDomain&(S)``0
ogcd`2`n`(S,S)->S`xField&(S)``0
ogcd`2`n`(S,S)->S`xGcdDomain&(S)``0
ogcd`2`n`(S,S)->S`xJetBundleFunctionCategory&(S,JB)``0
ogcd`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``577639
ogcd`2`x`(%,%)->%`cGcdDomain``577733
ogcd`2`x`(%,%)->%`dNonNegativeInteger``577819
ogcd`2`x`(%,%)->%`dPositiveInteger``577932
ogcd`2`x`(R,%)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`578041
ogcd`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``578129
ogcd`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``578215
ogcd`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``578314
ogcdBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``578434
ogcdBasis`1`n`(Vector(R))->Vector(R)`pGcdBasis(R)``578500
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``578576
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``578675
ogcdDecomposition`1`n`(Vector(Fraction(R)))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``578777
ogcdDecomposition`1`n`(Vector(R))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``578940
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``579103
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xFiniteFieldCategory&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xGcdDomain&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xUnivariatePolynomialCategory&(S,R)``0
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(%),SparseUnivariatePolynomial(%))->SparseUnivariatePolynomial(%)`cGcdDomain``579185
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(%),SparseUnivariatePolynomial(%))->SparseUnivariatePolynomial(%)`cPolynomialFactorizationExplicit``579310
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``579420
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``579514
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``579616
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``579725
ogderiv`2`n`((Integer)->R,Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``579834
oge_minimal`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->List(Record(singularity:Record(point:Union(Expression(Integer),"infinity"),lpf:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dxt:PositiveInteger),fos:List(Record(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(var,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),mge:List(UnivariateLaurentSeries(Expression(Integer),var,cen))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``579924
oGE`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``579955
ogen_ef`4`n`(F,UP,R,R)->Union(Record(result1:Fraction(UP),result2:F),"failed")`pGenerateEllipticIntegrals(F,UP,UPUP,R)``580045
ogen_exp`4`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),Union(Expression(Integer),"infinity"),(SparseUnivariatePolynomial(Expression(Integer)),List(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),List(Expression(Integer)))->List(Record(ecs:List(UnivariateLaurentSeries(Expression(Integer),var,cen)),ecr:UnivariatePolynomial(var,Expression(Integer)),ect:Fraction(UnivariatePolynomial(var,Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``580118
ogen_Monte_Carlo_check`6`n`((List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution"),List(List(F)),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector))->(List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution")`pModularHermitePadeSolver(F,S)``580149
ogeneral_Lambert_product`3`n`(Stream(A),Integer,Integer)->Stream(A)`dStreamTaylorSeriesOperations(A)``580352
ogeneral_mr`3`n`(Record(mantissa:Integer,exponent:Integer),Integer,Record(default?:Boolean,trim_trailing_zeros?:Boolean,out_mode:String,spacing:Integer,separator:Character))->String`pFloatingPointConvertion``580562
ogeneralCoefficient`4`n`((NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D`pFractionFreeFastGaussian(D,V)``580624
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteLambertProduct(Coef,UTS)``580989
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``581152
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(VF),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussianFractions(D,V,VF)``581969
ogeneralInterpolation`5`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``582403
ogeneralizedContinuumHypothesisAssumed?`0`x`()->Boolean`dCardinalNumber``582592
ogeneralizedContinuumHypothesisAssumed`1`x`(Boolean)->Boolean`dCardinalNumber``582693
ogeneralizedEigenvector`2`n`(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``582811
ogeneralizedEigenvector`2`x`(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``582992
ogeneralizedEigenvector`4`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F),NonNegativeInteger,NonNegativeInteger)->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``583173
ogeneralizedEigenvector`4`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``583447
ogeneralizedEigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`583721
ogeneralizedEigenvectors`1`x`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),geneigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)`has(R,PolynomialFactorizationExplicit)`583823
ogeneralizedEigenvectors`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)``583925
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`584083
ogeneralizedMoebiusFunction`2`n`(List(P),(P,P)->R)->%`dGeneralizedFiniteMoebiusFunction(P,R)``584313
ogeneralLambert`3`n`(%,Integer,Integer)->%`dUnivariateFormalPowerSeries(Coef)``0
ogeneralLambert`3`n`(%,Integer,Integer)->%`dUnivariateTaylorSeries(Coef,var,cen)``584396
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`dStreamTaylorSeriesOperations(A)``584623
ogeneralPosition`2`x`(%,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:%)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``584821
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``585003
ogenerator`0`n`()->%`dCyclicGroup(n,g)``585150
ogenerator`0`n`()->%`dInfiniteCyclicGroup(g)``585199
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`x`()->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`585248
ogenerator`0`x`()->%`cMonogenicAlgebra(R,UP)``585387
ogenerator`1`n`(NonNegativeInteger)->%`dAntiSymm(R,lVar)``585452
ogenerator`1`n`(NonNegativeInteger)->%`dDeRhamComplex(CoefRing,listIndVar)``585542
ogenerator`1`x`(%)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``585628
ogenerator`1`x`(NonNegativeInteger)->%`dFreeNilpotentLie(n,class,R)``585769
ogenerator`3`x`(%,Integer,List(UP))->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``585833
ogenerators`0`n`()->List(%)`cFinitelyGenerated``586141
ogenerators`1`x`(%)->List(DPoly)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``586200
ogenerators`1`x`(%)->List(Permutation(S))`dPermutationGroup(S)``586281
ogeneric?`1`n`(%)->Boolean`dPattern(R)``586356
ogeneric`0`n`()->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``586431
ogeneric`1`n`(Symbol)->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``586595
ogeneric`1`n`(Vector(%))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``586756
ogeneric`1`n`(Vector(Symbol))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``586922
ogeneric`2`n`(Symbol,Vector(%))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``587122
ogeneric`2`n`(Vector(Symbol),Vector(%))->%`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``587279
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`587502
ogenericLeftMinimalPolynomial`1`n`(%)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`587828
ogenericLeftNorm`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`587975
ogenericLeftTrace`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`588248
ogenericLeftTraceForm`2`n`(%,%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`588490
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``588634
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`588776
ogenericRightMinimalPolynomial`1`n`(%)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`589103
ogenericRightNorm`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`589253
ogenericRightTrace`1`n`(%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`589493
ogenericRightTraceForm`2`n`(%,%)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`589700
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``589849
ogenus`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``589929
ogenVectorStream`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``590009
ogenVectorStream2`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``590198
ogeometric`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``590285
oget_call`1`n`(%)->Record(name:String,args:List(%))`dTeXTree``590326
oget_char`1`n`(MD)->Integer`cModularFactorizationOperations(PA,MMT,MD,PMD)``590411
oget_elliptics`2`n`((UP)->UP,F)->List(Record(f_form:R,e_form:R,f_var:F,f_pol:UP))`pGenerateEllipticIntegrals(F,UP,UPUP,R)``590503
oget_extension_degree`1`n`(MD)->Integer`cModularFactorizationOperations(PA,MMT,MD,PMD)``590643
oget_fort_indent`0`n`()->Integer`pFortranCodeTools``590763
oget_math`1`n`(%)->%`dTeXTree``590838
oget_mod`1`n`(PMD)->MD`cModularFactorizationOperations(PA,MMT,MD,PMD)``590911
oget_output_mode`0`x`()->Record(mode:String,prec:Integer)`dFloat``590979
oget_rational_roots`1`n`(UP)->List(Fraction(Integer))`pPolynomialRationalRoots(F,UP)``591053
oget_rational_roots`2`n`(F,Kernel(F))->List(Fraction(Integer))`pFunctionSpaceRationalRoots(R,F)``591122
oget_text`1`n`(%)->String`dTeXTree``591239
oget_token!`1`n`(Record(str:String,pos:Integer))->Union(text:String,lbrace:"lbrace",rbrace:"rbrace",tmath:"tmath",dmath:"dmath",macro_name:Record(name:String),eos:"eos",error:"error")`pTeXScanner``591310
oget_used_intrinsics`0`n`()->List(String)`pFortranCodeTools``591416
oget_value`1`x`(%)->VT`dParametricComplexCurve(VT)``0
oget_variables`3`n`(List(List(Fraction(Polynomial(Integer)))),Symbol,Symbol)->List(Symbol)`pModularHermitePade``0
ogetArr`1`n`(%)->List(List(Boolean))`cPoset(S)``591481
ogetArrowIndex`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``591636
ogetArrowIndex`3`n`(A,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetArrowIndex`3`n`(A,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ogetArrows`1`n`(%)->List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))`cFiniteGraph(S)``591727
ogetArrows`1`n`(A)->List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))`xPoset&(A,S)``0
ogetBadValues`1`n`(%)->List(Any)`dPattern(R)``591798
ogetBoundValue`1`n`(%)->NonNegativeInteger`dLambda(UT)``591939
ogetCentre`1`n`(%)->PT`dSBoundary(PT)``592021
ogetChildren`1`n`(%)->List(%)`dILogic``592120
ogetChildren`1`n`(%)->List(%)`dLambda(UT)``592195
ogetChildren`1`n`(%)->List(%)`dLatticeJoinOfMeets``592318
ogetChildren`1`n`(%)->List(%)`dLatticeMeetOfJoins``592393
ogetChildren`1`n`(%)->List(%)`dSKICombinators(UT)``592468
ogetCode`1`n`(%)->List(String)`dFortranCode``592543
ogetCurve`1`n`(%)->Curve`dTubePlot(Curve)``592680
ogetDatabase`1`x`(String)->Database(IndexCard)`pOperationsQuery``592824
ogetDialect`0`n`()->Symbol`dTexFormat``593077
ogetEq`1`n`(F)->F`pRecurrenceOperator(R,F)``593136
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``593255
ogetGraph`2`n`(%,PositiveInteger)->GraphImage`dTwoDimensionalViewport``593333
ogetIndexes`1`n`(%)->List(NonNegativeInteger)`dOrientedFacet``593573
ogetIndexesSigned`1`n`(%)->List(Integer)`dOrientedFacet``593604
ogetIndexs`1`n`(%)->List(Record(left:NonNegativeInteger,right:NonNegativeInteger))`dProductFacet``593665
ogetIntervals`1`n`(%)->List(Segment(Integer))`dCubicalFacet``593693
ogetMatch`2`n`(Pattern(R),%)->Union(S,"failed")`dPatternMatchResult(R,S)``593749
ogetMax`1`n`(%)->PT`dSBoundary(PT)``593906
ogetMaxLeft`1`n`(%)->NonNegativeInteger`dProductFacet``593999
ogetMaxRight`1`n`(%)->NonNegativeInteger`dProductFacet``594033
ogetMin`1`n`(%)->PT`dSBoundary(PT)``594068
ogetMult`1`n`(%)->Integer`cFacetCategory``594161
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``594195
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``594289
ogetMultiplicationMatrix`0`x`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``594383
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``594477
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``594654
ogetMultiplicationTable`0`x`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``594831
ogetName`1`n`(%)->String`cVarCat``595008
ogetNames`1`n`(%)->List(String)`dSceneNamedPoints(PT)``595049
ogetNotation`0`n`()->Symbol`cJetBundleCategory``595113
ogetNotation`0`n`()->Symbol`cJetBundleFunctionCategory(JB)``0
ogetNotation`0`n`()->Symbol`xJetBundleFunctionCategory&(S,JB)``0
ogetOrder`0`n`()->Record(low:List(S),high:List(S))`pUserDefinedPartialOrdering(S)``595176
ogetPickedPoints`1`n`(%)->List(Point(DoubleFloat))`dTwoDimensionalViewport``595350
ogetRef`1`n`(%)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``595647
ogetSimplifyDenomsFlag`0`x`()->Boolean`dExpression(R)`has(R,IntegralDomain)`595763
ogetStatement`2`n`(OutputForm,Boolean)->List(String)`pFortranCodeTools``595889
ogetStream`1`n`(%)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``595936
ogetType`0`n`()->InputForm`pInputFormFunctions1(R)``596025
ogetType`1`n`(%)->ILogic`cVarCat``596098
ogetVariable`1`n`(%)->UT`dLambda(UT)``596295
ogetVariable`1`n`(%)->UT`dSKICombinators(UT)``596405
ogetVariableOrder`0`x`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``596481
ogetVert`1`n`(%)->List(S)`cPoset(S)``596668
ogetVertexIndex`2`n`(%,S)->NonNegativeInteger`cFiniteGraph(S)``596853
ogetVertexIndex`2`n`(A,S)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetVertices`1`n`(%)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`cFiniteGraph(S)``596943
ogetVertices`1`n`(A)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`xPoset&(A,S)``0
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``597043
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``597181
ogetZechTable`0`x`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``597310
oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``597448
oglb`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``597580
oglb`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ognuDraw`3`x`(Expression(Float),SegmentBinding(Float),String)->Void`pGnuDraw``597837
ognuDraw`3`x`(List(DoubleFloat),List(DoubleFloat),String)->Void`pGnuDraw``597897
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String)->Void`pGnuDraw``597977
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``598045
ognuDraw`4`x`(List(DoubleFloat),List(DoubleFloat),String,List(DrawOption))->Void`pGnuDraw``598101
ognuDraw`5`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``598177
ogoodPoint`2`n`(List(UPUP),UPUP)->F`pChangeOfVariable(F,UP,UPUP)``598241
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``598420
ogotoJump`1`n`(SingleInteger)->%`dFortranCode``598970
ograde`1`n`(%)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``599049
ograde`1`n`(%)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``599217
ograde`1`x`(%)->NonNegativeInteger`dCliffordAlgebra(n,K,bLin)``599459
ogradeInvolution`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``599577
ogradient`2`n`(F,FLAS)->Vector(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``599634
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``599815
ogramschmidt`1`x`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``599972
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``600144
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``600302
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``600515
ographImage`0`n`()->%`dGraphImage``600923
ographs`1`n`(%)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``601108
ographs`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``601434
ographState`14`n`(%,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``601607
ographStates`1`n`(%)->Vector(Record(scaleX:DoubleFloat,scaleY:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat,points:Integer,connect:Integer,spline:Integer,axes:Integer,axesColor:Palette,units:Integer,unitsColor:Palette,showing:Integer))`dTwoDimensionalViewport``602644
ogreen`0`x`()->%`dColor``602901
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``602978
ogroebner?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``603015
ogroebner`1`n`(List(%))->List(%)`dDistributedJetBundlePolynomial(R,JB,LJV,E)`has(R,GcdDomain)`603110
ogroebner`1`n`(List(%))->List(%)`dJetBundlePolynomial(R,JB)`has(R,GcdDomain)`603225
ogroebner`1`n`(List(Dpol))->List(Dpol)`pNGroebnerPackage(Dom,Expon,Dpol)``603352
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``603476
ogroebner`1`n`(List(P))->List(P)`pJetGroebner(R,JB,LJV,P,E)``603690
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``603797
ogroebner`1`x`(%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``604014
ogroebner`1`x`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``604120
ogroebner`2`x`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``604244
ogroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,Dpol)``604691
ogroebnerFactorize`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``605071
ogroebnerFactorize`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``605561
ogroebnerFactorize`2`x`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``606133
ogroebnerFactorize`3`x`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``606736
ogroebnerIdeal`1`x`(List(DPoly))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``607429
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``607641
oground?`1`n`(%)->Boolean`dJetBundleLinearFunction(JB,D)``607936
oground?`1`n`(%)->Boolean`dJetLazyFunction(JB,D)``608038
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace2&(S,R,K)``0
oground?`1`x`(%)->Boolean`cFiniteAbelianMonoidRing(R,E)``608131
oground?`1`x`(%)->Boolean`cFunctionSpace2(R,K)``608222
oground`1`n`(%)->%`dJetBundleLinearFunction(JB,D)``608292
oground`1`n`(%)->Record(numer:Polynomial(Integer),denom:Polynomial(Integer))`dFakePolynomial``0
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace2&(S,R,K)``0
oground`1`x`(%)->R`cFiniteAbelianMonoidRing(R,E)``608353
oground`1`x`(%)->R`cFunctionSpace2(R,K)``608431
ogroup_by_condition`1`n`(List(Record(form:SExpression,condition:SExpression)))->List(Record(grp_tag:SExpression,constrs:List(Record(form:SExpression,condition:SExpression))))`pBrowserInformation``608558
ogroup_by_condition`1`n`(List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))))->List(Record(grp_tag:SExpression,ops:List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))))`pBrowserInformation``608670
ogroup_by_implementation`3`n`(List(SExpression),SExpression,List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))))->List(Record(grp_tag:SExpression,ops:List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))))`pBrowserInformation``608764
ogroup_by_origin`1`n`(List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))))->List(Record(grp_tag:SExpression,ops:List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))))`pBrowserInformation``608988
ogroup_terms`1`x`(List(Record(num:R,d_fact:R,d_exp:NonNegativeInteger)))->List(Record(num:R,d_fact:R,d_exp:NonNegativeInteger))`dPartialFraction(R)``609075
ogroup?`1`n`(%)->Boolean`dTeXTree``609115
ogroup`1`n`(List(%))->%`dTeXTree``609199
ogroupPresentation`0`n`()->%`dGroupPresentation``609262
ogroupPresentation`1`n`(List(NonNegativeInteger))->%`dGroupPresentation``609325
ogroupPresentation`2`n`(List(NonNegativeInteger),List(List(Integer)))->%`dGroupPresentation``609386
oGT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``609433
oguess`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``609522
oguess`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguess`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``609715
oguess`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguess`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`3`n`(List(AlgebraicNumber),List((List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`3`x`(List(F),List((List(F),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`3`x`(List(F),List((List(F),List(GuessOption))->List(EXPRR)),List(Symbol))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``609871
oguess`3`x`(List(Fraction(Integer)),List((List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessInteger``0
oguess`3`x`(List(Fraction(Polynomial(Integer))),List((List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`3`x`(List(Fraction(Polynomial(R))),List((List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`4`n`(List(AlgebraicNumber),List((List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`4`x`(List(F),List((List(F),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`4`x`(List(F),List((List(F),List(GuessOption))->List(EXPRR)),List(Symbol),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``610163
oguess`4`x`(List(Fraction(Integer)),List((List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguess`4`x`(List(Fraction(Polynomial(Integer))),List((List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`4`x`(List(Fraction(Polynomial(R))),List((List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessADE`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessADE`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessADE`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessADE`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``610422
oguessADE`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessADE`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessADE`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessADE`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessADE`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`610650
oguessADE`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessADE`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessADE`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessADE`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessADE`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessADE`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``610853
oguessADE`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessADE`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessADE`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlg`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlg`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlg`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``611043
oguessAlg`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessAlg`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlg`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlg`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlg`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlg`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``611335
oguessAlg`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessAlg`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlg`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlgDep`1`n`(List(List(AlgebraicNumber)))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlgDep`1`x`(List(List(F)))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlgDep`1`x`(List(List(F)))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``611602
oguessAlgDep`1`x`(List(List(Fraction(Integer))))->List(Expression(Integer))`pGuessInteger``0
oguessAlgDep`1`x`(List(List(Fraction(Polynomial(Integer)))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlgDep`1`x`(List(List(Fraction(Polynomial(R)))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlgDep`2`n`(List(List(AlgebraicNumber)),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlgDep`2`x`(List(List(F)),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlgDep`2`x`(List(List(F)),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``611838
oguessAlgDep`2`x`(List(List(Fraction(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessAlgDep`2`x`(List(List(Fraction(Polynomial(Integer)))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlgDep`2`x`(List(List(Fraction(Polynomial(R)))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessBinRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessBinRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessBinRat`1`n`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`612026
oguessBinRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessBinRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``612259
oguessBinRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessBinRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessBinRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessBinRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessBinRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`612467
oguessBinRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessBinRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessBinRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessBinRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessBinRat`2`n`(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)``612700
oguessBinRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessBinRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``612908
oguessBinRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessBinRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessBinRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessExpRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessExpRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessExpRat`1`n`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`613116
oguessExpRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessExpRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``613343
oguessExpRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessExpRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessExpRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessExpRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessExpRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`613532
oguessExpRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessExpRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessExpRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessExpRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessExpRat`2`n`(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)``613759
oguessExpRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessExpRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``613958
oguessExpRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessExpRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessExpRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessFE`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessFE`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessFE`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``614157
oguessFE`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessFE`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessFE`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessFE`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessFE`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessFE`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``614384
oguessFE`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessFE`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessFE`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessHolo`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessHolo`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessHolo`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessHolo`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``614573
oguessHolo`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessHolo`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessHolo`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessHolo`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessHolo`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`614873
oguessHolo`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessHolo`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessHolo`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessHolo`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessHolo`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessHolo`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``615073
oguessHolo`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessHolo`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessHolo`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPade`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPade`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPade`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``615355
oguessPade`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessPade`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPade`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPade`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPade`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPade`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``615678
oguessPade`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessPade`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPade`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPRec`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPRec`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessPRec`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPRec`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``615933
oguessPRec`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessPRec`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPRec`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessPRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`616202
oguessPRec`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessPRec`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessPRec`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessPRec`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPRec`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPRec`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``616466
oguessPRec`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessPRec`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPRec`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``616717
oguessRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`616991
oguessRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``617255
oguessRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRec`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRec`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessRec`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRec`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``617491
oguessRec`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessRec`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRec`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`617677
oguessRec`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessRec`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessRec`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessRec`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRec`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRec`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``617839
oguessRec`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessRec`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRec`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
ohadamard`2`n`(UnivariateFormalPowerSeries(Coef),UnivariateFormalPowerSeries(Coef))->UnivariateFormalPowerSeries(Coef)`pUnivariateFormalPowerSeriesFunctions(Coef)``0
ohahn_p`5`n`(F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``617987
ohahn_p`5`x`(%,%,%,%,%)->%`cSpecialFunctionCategory``618069
ohahnQ`5`n`(F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``618151
ohahnQ`5`x`(%,%,%,%,%)->%`cSpecialFunctionCategory``618210
ohahnR`5`n`(F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``618275
ohahnR`5`x`(%,%,%,%,%)->%`cSpecialFunctionCategory``618339
ohahnS`5`n`(F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``618403
ohahnS`5`x`(%,%,%,%,%)->%`cSpecialFunctionCategory``618478
ohalfExtendedResultant1`2`n`(%,%)->Record(resultant:R,coef1:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`618553
ohalfExtendedResultant2`2`n`(%,%)->Record(resultant:R,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`618687
ohalfExtendedSubResultantGcd1`2`n`(%,%)->Record(gcd:%,coef1:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`618821
ohalfExtendedSubResultantGcd1`2`x`(%,%)->Record(gcd:%,coef1:%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`618967
ohalfExtendedSubResultantGcd2`2`n`(%,%)->Record(gcd:%,coef2:%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`619135
ohalfExtendedSubResultantGcd2`2`x`(%,%)->Record(gcd:%,coef2:%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`619281
ohandle_imaginary`1`n`(FiniteDivisor(F,UP,UPUP,R))->Record(ncurve:UPUP,n_div_numer:Vector(UPUP),n_div_denom:UPUP,need_change:Boolean)`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``619449
ohandler`3`n`(%,Integer,String)->HANDLER`dOperatorHandlers(HANDLER)``619516
ohankelDeterminant`2`n`(Sequence(R),NonNegativeInteger)->R`pMomentPackage(R)``619663
ohankelDeterminants`1`n`(%)->Stream(R)`cDistributionCategory(R)``619769
ohankelH1`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``619877
ohankelH1`2`x`(%,%)->%`cSpecialFunctionCategory``619968
ohankelH2`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``620059
ohankelH2`2`x`(%,%)->%`cSpecialFunctionCategory``620155
ohankelIndices`1`n`(XDistributedPolynomial(VAR,F))->List(FreeMonoid(VAR))`pXDistributedPolynomialFunctions(VAR,F)``620251
oHankelMatrix`1`n`(List(R))->Matrix(R)`pHankelPackage(R)``620425
ohankelMatrix`1`n`(XDistributedPolynomial(VAR,F))->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``620595
ohankelMatrix`2`n`(XDistributedPolynomial(VAR,F),VAR)->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``620846
ohankelSystem`1`n`(XDistributedPolynomial(VAR,F))->Record(rows:List(FreeMonoid(VAR)),cols:List(FreeMonoid(VAR)),H:Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``621082
oharmonic`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``621260
ohas_op?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``621366
ohas?`2`x`(%,Symbol)->Boolean`dBasicOperator``621501
ohasDimension?`1`n`(%)->Boolean`dSimpleCell(TheField,ThePols)``621580
ohasDimension?`2`n`(%,Symbol)->Boolean`dCell(TheField)``621750
ohash`1`n`(%)->SingleInteger`cHashable``621895
ohash`1`n`(S)->SingleInteger`xHashable&(S)``0
ohasHi`1`x`(%)->Boolean`dUniversalSegment(S)``621954
ohashUpdate!`2`n`(HashState,%)->HashState`cHashable``622032
ohashUpdate!`2`n`(HashState,A)->HashState`xBinaryTreeCategory&(A,S)``0
ohashUpdate!`2`n`(HashState,A)->HashState`xLinearAggregate&(A,S)``0
ohashUpdate!`2`n`(HashState,S)->HashState`xFinite&(S)``0
ohashUpdate!`2`n`(HashState,S)->HashState`xFramedModule&(S,R)``0
ohashUpdate!`2`n`(HashState,S)->HashState`xPolynomialCategory&(S,R,E,VarSet)``0
ohashUpdate!`2`n`(HashState,S)->HashState`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``622219
ohasPredicate?`1`n`(%)->Boolean`dPattern(R)``622462
ohasSolution?`2`x`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``622542
ohasSolution?`2`x`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``622632
ohasTopPredicate?`1`n`(%)->Boolean`dPattern(R)``622722
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``622801
ohcenter`1`n`(NonNegativeInteger)->(%)->%`dOutputBox``622897
ohclf`2`n`(%,%)->%`dFreeMonoid(S)``622988
ohconcat`1`n`(List(%))->%`dOutputBox``623162
ohconcat`1`n`(List(%))->%`dOutputForm``623282
ohconcat`2`n`(%,%)->%`dOutputForm``623361
ohcrf`2`n`(%,%)->%`dFreeMonoid(S)``623444
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``623619
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``623708
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`x`(%)->%`cDoublyLinkedAggregate(S)``623796
ohead`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``623912
oheadReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduce`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``624125
oheadReduce`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``624323
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``624556
oheadReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``624709
oheadReduced?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``624809
oheadReduced?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``624932
oheadRemainder`2`n`(P,S)->Record(num:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oheadRemainder`2`x`(P,%)->Record(num:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`625049
oheap`1`x`(List(S))->%`dHeap(S)``625278
oheapSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``625369
oheight`1`n`(%)->NonNegativeInteger`cKernelCategory(S)``625490
oheight`1`n`(%)->NonNegativeInteger`dOutputBox``625553
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace2&(S,K)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``625661
oheight`1`x`(%)->NonNegativeInteger`cExpressionSpace2(K)``625768
ohensel_update`3`n`(U32Vector,Integer,%)->Void`dVectorIntegerReconstructor``626048
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger)))`pGaloisGroupFactorizer(UP)``626121
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``626436
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``626632
ohermite`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``626897
ohermiteH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``626978
ohermiteH`2`x`(%,%)->%`cSpecialFunctionCategory``627034
ohermiteH`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``627090
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``627249
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``627635
oHermiteIntegrate`3`n`(Fraction(UP),(UP)->UP,UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``627774
oHermiteIntegrate`3`n`(R,(UP)->UP,R)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``628171
ohessian`2`n`(F,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``628355
ohex`1`x`(Fraction(Integer))->%`dHexadecimalExpansion``628535
ohexDigit?`1`x`(%)->Boolean`dCharacter``628611
ohexDigit`0`x`()->%`dCharacterClass``628741
ohigh`1`x`(%)->S`cSegmentCategory(S)``628863
ohilbert`1`n`(List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``628955
ohitherPlane`2`x`(%,Float)->Void`dThreeDimensionalViewport``629049
ohMonic`1`n`(Dpol)->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``629225
ohMonic`1`n`(Dpol)->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``629260
ohomo_fact`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``629322
ohomogeneous?`1`n`(%)->Boolean`dAntiSymm(R,lVar)``629415
ohomogeneous?`1`n`(%)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``629505
ohomogeneous`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``629615
ohomogeneous`1`x`(Union(PositiveInteger,Boolean))->%`dGuessOption``629744
ohomology`1`n`(%)->List(Homology)`dChainComplex``630095
ohomology`1`n`(%)->List(Homology)`dDeltaComplex(VS)``630143
ohomology`1`n`(%)->List(Homology)`dFiniteCubicalComplex(VS)``630191
ohomology`1`n`(%)->List(Homology)`dFiniteSimplicialComplex(VS)``630239
ohomology`3`n`(List(List(Integer)),List(Integer),List(List(Integer)))->%`dHomology``630403
ohomology0`0`n`()->%`dHomology``630431
ohomologyc2`0`n`()->%`dHomology``630490
ohomologyGroup`2`n`(Matrix(Integer),Matrix(Integer))->%`dHomology``630553
ohomologyz`0`n`()->%`dHomology``630727
ohomologyzc2`0`n`()->%`dHomology``630789
ohomologyzz`0`n`()->%`dHomology``630854
ohorizConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`1`x`(List(%))->%`cTwoDimensionalArrayCategory(R,Row,Col)``630918
ohorizConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`2`x`(%,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``631055
ohorizJoin`2`n`(%,%)->%`dSparseEchelonMatrix(C,D)``631284
ohorizSplit`2`n`(%,C)->Record(Left:%,Right:%)`dSparseEchelonMatrix(C,D)``631450
ohorizSplit`2`n`(S,List(NonNegativeInteger))->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizSplit`2`n`(S,PositiveInteger)->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizSplit`2`x`(%,List(NonNegativeInteger))->List(%)`cTwoDimensionalArrayCategory(R,Row,Col)``631647
ohorizSplit`2`x`(%,PositiveInteger)->List(%)`cTwoDimensionalArrayCategory(R,Row,Col)``631844
oHP_solve_A`6`n`(List(List(AlgebraicNumber)),List(Integer),Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(AlgebraicNumber)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(AlgebraicNumber)),Boolean)`pModularHermitePade``631995
oHP_solve_I`6`n`(List(List(Fraction(Integer))),List(Integer),Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Integer)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Integer)),Boolean)`pModularHermitePade``632054
oHP_solve_M`7`n`(List(List(Integer)),List(Integer),Symbol,Integer,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Integer)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Integer)),Boolean)`pModularHermitePade``632114
oHP_solve_P`7`n`(List(List(Fraction(Polynomial(Integer)))),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Polynomial(Integer))))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Polynomial(Integer))),Boolean)`pModularHermitePade``632212
oHP_solve_PA`7`n`(List(List(Fraction(Polynomial(AlgebraicNumber)))),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Polynomial(AlgebraicNumber))))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Polynomial(AlgebraicNumber))),Boolean)`pModularHermitePade``632283
ohp_solve`3`n`(List(Vector(SparseUnivariatePolynomial(Expression(Integer)))),List(NonNegativeInteger),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(Expression(Integer)))`pVectorHermitePadeSolver``632367
oHP_solve`7`n`(List(List(F)),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(S)),Boolean)`pModularHermitePadeSolver(F,S)``632481
ohspace`1`n`(Integer)->%`dOutputForm``632873
ohtrigs`1`x`(F)->F`pTranscendentalManipulations(R,F)``632936
ohue`1`n`(Point(R))->R`pPointPackage(R)``633037
ohue`1`x`(%)->Color`dPalette``633354
ohue`1`x`(%)->Integer`dColor``633432
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``633508
ohyperelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``633642
ohypergeometric0F1`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
ohypergeometric0F1`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ohypergeometricF`3`n`(List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`633776
ohypergeometricF`3`x`(List(%),List(%),%)->%`cSpecialFunctionCategory`has(%,RetractableTo(Integer))`633861
oI`0`n`()->%`dSKICombinators(UT)``633946
oiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``633986
oiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``634044
oiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``634107
oiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``634165
oiCompose`2`n`(%,%)->%`dInnerSparseUnivariatePowerSeries(Coef)``634228
oid_map`1`n`(Var)->Automorphism(R)`pPartialDifferentialOperatorHelper(R,Var)``0
oid`1`x`(A)->A`pMappingPackage1(A)``634443
oideal`1`n`(Vector(A))->%`dFractionalIdeal(R,F,UP,A)``634475
oideal`1`x`(%)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``634550
oideal`1`x`(List(DPoly))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``634628
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``634733
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``634831
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``634984
oidealSimplify`1`n`(%)->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``635149
oidentification`2`n`(%,%)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``635443
oidentity`0`n`()->%`dSTransform(PT)``635620
oidentity`0`x`()->%`dDenavitHartenbergMatrix(R)``635704
oidentityMatrix`1`n`(NonNegativeInteger)->%`dThreeDimensionalMatrix(R)`has(R,Ring)`635758
oidentitySquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``635849
oiexactQuo`2`n`(R,R)->R`xPolynomialSetCategory&(S,R,E,VarSet,P)``635906
oiexactQuo`2`n`(R,R)->R`xRecursivePolynomialCategory&(S,R,E,V)``635968
oiexactQuo`2`x`(R,R)->R`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`636030
oiexactQuo`2`x`(R,R)->R`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`636092
oiExquo`3`n`(%,%,Boolean)->Union(%,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``636154
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``636330
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``636491
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``636547
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``636603
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``636660
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``636716
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``636773
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``636829
oiiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``636886
oiiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``636945
oiiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``637009
oiiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``637068
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``637132
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``637188
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``637245
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``637301
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``637358
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``637414
oiiBesselI`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``637471
oiiBesselJ`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``637531
oiiBesselK`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``637591
oiiBesselY`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``637651
oiiBeta`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``637711
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``637768
oiiconjugate`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``637826
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``637888
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``637943
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``637999
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``638054
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``638110
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``638165
oiidigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``638221
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``638281
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``638339
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``638396
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``638451
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``638508
oiiHypergeometricF`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``638566
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``638634
oiim2`1`n`(R)->Expression(Integer)`pGuessPolynomialFunctions(R)``638689
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``638728
oiipolygamma`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``638785
oiiPolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``638847
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``638910
oiiretractVar`1`n`(Kernel(Expression(Integer)))->Polynomial(R)`pGuessPolynomialFunctions(R)``638966
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``639005
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``639060
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``639116
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``639171
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``639227
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``639283
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``639339
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``639394
oiLambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``639450
oimag`1`x`(%)->R`cComplexCategory(R)``639510
oimag`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``639568
oimag`1`x`(F)->F`pTrigonometricManipulations(R,F)``639667
oimagE`1`x`(%)->R`cOctonionCategory(R)``639766
oimagi`1`x`(%)->R`cOctonionCategory(R)``639848
oimagI`1`x`(%)->R`cOctonionCategory(R)``639920
oimagI`1`x`(%)->R`cQuaternionCategory(R)``640002
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`x`()->%`cComplexCategory(R)``640086
oimagj`1`x`(%)->R`cOctonionCategory(R)``640144
oimagJ`1`x`(%)->R`cOctonionCategory(R)``640216
oimagJ`1`x`(%)->R`cQuaternionCategory(R)``640298
oimagk`1`x`(%)->R`cOctonionCategory(R)``640382
oimagK`1`x`(%)->R`cOctonionCategory(R)``640454
oimagK`1`x`(%)->R`cQuaternionCategory(R)``640536
oimplies`2`n`(%,%)->%`dILogic``640620
oimplies`2`x`(%,%)->%`dBoolean``640863
oimplies`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`cPoset(S)``0
oimplies`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oin?`2`x`(%,%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``640957
oinBounds?`3`n`(%,%,%)->Boolean`cSPointCategory``641045
oinc`1`x`(%)->%`cIntegerNumberSystem``641187
oincFail`2`n`(String,List(OutputForm))->Void`pUnittestCount``641230
oincFatal`1`n`(String)->Void`pUnittestCount``641348
oincidenceAlgebra`2`n`(Matrix(R),List(S))->%`dIncidenceAlgebra(R,S)``641453
oincidenceAlgebra`2`n`(Matrix(R),OneDimensionalArray(S))->%`dIncidenceAlgebra(R,S)``641563
oincidenceMatrix`1`n`(%)->Matrix(Integer)`cFiniteGraph(S)``641673
oincidenceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
oincLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``641977
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``642092
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``642277
oincPass`0`n`()->Void`pUnittestCount``642462
oincr`1`x`(%)->Integer`cSegmentCategory(S)``642540
oincreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`642693
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``642823
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``643003
oincrementKthElement`2`n`(%,PositiveInteger)->Union(%,"failed")`dSetOfMIntegersInOneToN(m,n)``643194
oincTest`0`n`()->Void`pUnittestCount``643378
oincXfFail`0`n`()->Void`pUnittestCount``643445
oincXfFatal`1`n`(String)->Void`pUnittestCount``643536
oincXfLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``643599
oincXfPass`2`n`(String,List(OutputForm))->Void`pUnittestCount``643678
oinDegree`2`n`(%,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``643829
oinDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
oinDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
oindentFortLevel`1`n`(Integer)->Void`pFortranCodeTools``643928
oindex?`2`n`(Integer,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oindex?`2`n`(Integer,A)->Boolean`xLinearAggregate&(A,S)``0
oindex?`2`n`(Key,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oindex?`2`x`(Index,%)->Boolean`cIndexedAggregate(Index,Entry)``643961
oindex`1`n`(%)->IS`dModuleMonomial(IS,E,ff)``644041
oindex`1`n`(%)->PositiveInteger`cJetBundleCategory``644078
oindex`1`n`(PositiveInteger)->A`xFiniteSetAggregate&(A,S)``0
oindex`1`n`(PositiveInteger)->S`xDirectProductCategory&(S,dim,R)``0
oindex`1`n`(PositiveInteger)->S`xFramedModule&(S,R)``0
oindex`1`n`(PositiveInteger)->S`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oindex`1`x`(PositiveInteger)->%`cFinite``644147
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``644395
oindexes`1`n`(%)->List(List(NonNegativeInteger))`dSceneIFS(PT)``644495
oindexName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``644563
oindexName`1`x`(Symbol)->%`dGuessOption``644672
oindexToObject`2`n`(%,NonNegativeInteger)->S`cPoset(S)``644811
oindexToObject`2`n`(A,NonNegativeInteger)->S`xPoset&(A,S)``0
oindices`1`n`(%)->OneDimensionalArray(S)`dIncidenceAlgebra(R,S)``644876
oindices`1`n`(A)->List(Integer)`xLazyStreamAggregate&(A,S)``0
oindices`1`n`(A)->List(Integer)`xLinearAggregate&(A,S)``0
oindices`1`n`(S)->List(Key)`xTableAggregate&(S,Key,Entry)``0
oindices`1`x`(%)->List(Index)`cIndexedAggregate(Index,Entry)``644947
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``645044
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``645130
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``645280
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``645374
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``645468
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``645568
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``645668
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``645892
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``646116
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``646372
oinf`1`n`(%)->R`cAIntervalCategory(R)``646628
oinf`2`x`(%,%)->%`cOrderedAbelianMonoidSup``646682
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``646786
oinfieldIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``646923
oinfinite?`1`x`(%)->Boolean`dOnePointCompletion(R)``647055
oinfinite?`1`x`(%)->Boolean`dOrderedCompletion(R)``647113
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``647185
oinfinity`0`x`()->%`dOnePointCompletion(R)``647327
oinfinity`0`x`()->OnePointCompletion(Integer)`pInfinity``647370
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``647413
oinfix?`1`n`(%)->Boolean`dOutputForm``647526
oinfix`2`n`(%,List(%))->%`dOutputForm``647634
oinfix`3`n`(%,%,%)->%`dOutputForm``647776
oinfix`4`n`(String,Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``647860
oinfix`4`n`(String,Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``648158
oinfLex?`4`n`(%,%,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``648456
oinfRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinfRittWu?`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinfRittWu?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``648627
oinfRittWu?`2`x`(%,%)->Boolean`cTriangularSetCategory(R,E,V,P)``648794
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``648918
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``649011
oinfsum`1`n`(Stream(%))->%`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``649104
oinGroundField?`1`x`(%)->Boolean`cExtensionField(F)``649246
oinHallBasis?`4`x`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``649353
oini_rdata`2`n`(PA,MD)->PMD`cModularFactorizationOperations(PA,MMT,MD,PMD)``649738
oinit`0`n`()->A`xQuotientFieldCategory&(A,S)``0
oinit`0`n`()->S`xFiniteFieldCategory&(S)``0
oinit`0`n`()->S`xIntegerNumberSystem&(S)``0
oinit`0`n`()->S`xUnivariatePolynomialCategory&(S,R)``0
oinit`0`x`()->%`cStepThrough``649952
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``650013
oinitial`0`n`()->%`cFiniteGraph(S)``650202
oinitial`0`n`()->A`xPoset&(A,S)``0
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`x`(%)->%`cDifferentialPolynomialCategory(R,S,V,E)``650269
oinitializeGroupForWordProblem`1`x`(%)->Void`dPermutationGroup(S)``650421
oinitializeGroupForWordProblem`3`x`(%,Integer,Integer)->Void`dPermutationGroup(S)``650857
oinitiallyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduce`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``651308
oinitiallyReduce`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``651516
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``651760
oinitiallyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``651988
oinitiallyReduced?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``652143
oinitiallyReduced?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``652276
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`x`(%)->List(P)`cTriangularSetCategory(R,E,V,P)``652461
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``652563
oinnerEigenvectors`3`n`(Matrix(K),Par,(SparseUnivariatePolynomial(K))->Factored(SparseUnivariatePolynomial(K)))->List(Record(outval:F,outmult:Integer,outvect:List(Matrix(F))))`pInnerNumericEigenPackage(K,F,Par)``652618
oinnerint`5`x`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``652928
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``653004
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``653350
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``653461
oinput`1`x`(%)->Union((List(InputForm))->InputForm,"failed")`dBasicOperator``653585
oinput`2`x`(%,(List(InputForm))->InputForm)->%`dBasicOperator``653697
oinR?`1`n`(%)->Boolean`dPattern(R)``653907
oinRadical?`2`x`(DPoly,%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``654002
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``654111
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``654175
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`x`(S,%)->%`cBagAggregate(S)``654270
oinsert!`2`x`(S,%)->%`dBinarySearchTree(S)``654339
oinsert!`2`x`(S,%)->%`dBinaryTournament(S)``654436
oinsert!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`n`(S,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`x`(%,%,Integer)->%`cExtensibleLinearAggregate(S)``654532
oinsert!`3`x`(S,%,Integer)->%`cExtensibleLinearAggregate(S)``654640
oinsert!`3`x`(S,%,NonNegativeInteger)->%`cMultiDictionary(S)``654738
oinsert`2`n`(List(D),%)->%`dJetDifferentialEquation(JB,D)``654845
oinsert`3`n`(A,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`x`(%,%,Integer)->%`cLinearAggregate(S)``654946
oinsert`3`x`(S,%,Integer)->%`cLinearAggregate(S)``655144
oinsertBottom!`2`x`(S,%)->S`cDequeueAggregate(S)``655323
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`655451
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``655494
oinsertMatch`3`n`(Pattern(R),S,%)->%`dPatternMatchResult(R,S)``655543
oinsertRoot!`2`x`(S,%)->%`dBinarySearchTree(S)``655701
oinsertRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dFreeDivisionAlgebra(VAR,F)``655802
oinsertRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dLinearMultivariateMatrixPencil(R)``656034
oinsertTop!`2`x`(S,%)->S`cDequeueAggregate(S)``656339
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`x`(%)->S`cBagAggregate(S)``656567
oint`1`n`(%)->%`dOutputForm``656632
oint`1`n`(R)->Stream(R)`cStreamTaylorSeriesOperationsCategory(R,M)``656718
oint`2`n`(%,%)->%`dOutputForm``656822
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``656936
oint`3`n`(%,%,%)->%`dOutputForm``657019
ointBasis`1`n`(List(%))->%`dVectorSpaceBasis(R)``657172
ointBasis`1`n`(List(List(Vector(R))))->%`dVectorSpaceBasis(R)``657287
ointBasis`2`n`(%,%)->%`dVectorSpaceBasis(R)``657403
ointBasis`2`n`(List(Vector(R)),List(Vector(R)))->%`dVectorSpaceBasis(R)``657493
ointChoose`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(upol:SparseUnivariatePolynomial(R),Lval:List(R),Lfact:List(Record(factor:SparseUnivariatePolynomial(R),exponent:NonNegativeInteger)),ctpol:R)`pMultivariateSquareFree(E,OV,R,P)``657637
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``657677
ointeg_df`2`n`(UPS,UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``657718
ointeg`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``657773
ointeger?`1`n`(%)->Boolean`dFortranScalarType``657825
ointeger?`1`n`(OutputForm)->Boolean`pOutputFormTools``657917
ointeger?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``658006
ointeger?`1`x`(S)->Boolean`pIntegerRetractions(S)``658089
ointeger`1`n`(OutputForm)->Integer`pOutputFormTools``658181
ointeger`1`x`(%)->Int`cSExpressionCategory(Str,Sym,Int,Flt)``658297
ointeger`1`x`(S)->Integer`pIntegerRetractions(S)``658421
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``658515
ointegerBound`1`n`(UP)->Integer`pPolynomialRationalRoots(F,UP)``658659
ointegerIfCan`1`x`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``658803
ointegerPart`1`n`(%)->NonNegativeInteger`dSmallOrdinal``658905
ointegers`1`n`(Integer)->Stream(Integer)`cStreamTaylorSeriesOperationsCategory(R,M)``659013
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`x`(%)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``659074
ointegral?`2`n`(S,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`n`(S,UP)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`x`(%,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``659149
ointegral?`2`x`(%,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``659239
ointegral`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``659332
ointegral`2`n`(F,F)->%`dIntegrationResult(F)``659544
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``659638
ointegral`2`n`(F,Symbol)->%`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`659768
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``659862
ointegral`2`x`(%,SegmentBinding(%))->%`cPrimitiveFunctionCategory``659949
ointegral`2`x`(%,Symbol)->%`cPrimitiveFunctionCategory``660088
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`x`(%)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``660168
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``660256
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``661078
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``661900
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``662716
ointegralBasis`0`x`()->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``663538
ointegralBasisAtInfinity`0`x`()->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``663610
ointegralCoordinates`1`x`(%)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``663696
ointegralDerivationMatrix`1`x`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``663897
ointegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``664232
ointegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``664341
ointegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``664550
ointegralRepresents`2`x`(Vector(UP),UP)->%`cFunctionFieldCategory(F,UP,UPUP)``664765
ointegrate_sols`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->Record(ltilde:LinearOrdinaryDifferentialOperator1(Fraction(UP)),r:Union(LinearOrdinaryDifferentialOperator1(Fraction(UP)),"failed"))`pRationalLODE(F,UP)``664927
ointegrate_sols`2`n`(L,(L,F)->Record(particular:Union(F,"failed"),basis:List(F)))->Record(ltilde:L,r:Union(L,"failed"))`pIntegrateSolutions(F,L)``665009
ointegrate`1`n`(%)->%`cUnivariateSeriesWithRationalExponents(Coef,Expon)`has(Coef,Algebra(Fraction(Integer)))`665443
ointegrate`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`665632
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``665815
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`x`(%)->%`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`665884
ointegrate`2`n`(%,PositiveInteger)->%`cJetBundleCategory``666001
ointegrate`2`n`(%,Symbol)->%`cUnivariateSeriesWithRationalExponents(Coef,Expon)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`666126
ointegrate`2`n`(%,Variable('x))->%`dUnivariateFormalPowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`0
ointegrate`2`n`(%,Variable(var))->%`dSparseUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`666257
ointegrate`2`n`(%,Variable(var))->%`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`666446
ointegrate`2`n`(%,Variable(var))->%`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`666635
ointegrate`2`n`(%,Variable(var))->%`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`666827
ointegrate`2`n`(%,Variable(var))->%`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`667016
ointegrate`2`n`(%,Variable(var))->%`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`667205
ointegrate`2`n`(Coef,Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``667397
ointegrate`2`n`(M,Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)`has(R,Algebra(Fraction(Integer)))`667498
ointegrate`2`n`(S,PositiveInteger)->S`xJetBundleCategory&(S)``0
ointegrate`2`x`(%,Symbol)->%`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`667744
ointegrate`2`x`(%,Var)->%`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`667904
ointegrate`2`x`(%,Variable(var))->%`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`668132
ointegrate`2`x`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``668321
ointegrate`2`x`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``668483
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``668596
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``668758
ointegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`668920
ointegrate`2`x`(UPS,Distribution(R))->S`pDistributionPolynomialPackage(R,S,UPS)``669033
ointegrate`3`n`(%,Var,Coef)->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`669160
ointegrate`3`x`(%,Symbol,Coef)->%`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`669312
ointegrate`3`x`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``669464
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``669859
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``670254
ointegrateIfCan`2`n`(%,PositiveInteger)->Union(%,"failed")`cJetBundleCategory``670649
ointegrateIfCan`2`n`(S,PositiveInteger)->Union(S,"failed")`xJetBundleCategory&(S)``0
ointegt`1`n`(UTS)->UTS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``670770
ointensity`2`x`(%,Float)->Void`dThreeDimensionalViewport``670823
ointernal?`1`n`(%)->Boolean`dSubSpace(n,R)``671013
ointernalAugment`2`x`(List(P),%)->%`cRegularTriangularSetCategory(R,E,V,P)``671054
ointernalAugment`2`x`(P,%)->%`cRegularTriangularSetCategory(R,E,V,P)``671213
ointernalAugment`7`x`(P,%,Boolean,Boolean,Boolean,Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``671321
ointernalAugment`7`x`(P,%,Boolean,Boolean,Boolean,Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``671436
ointernalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`4`x`(P,TS,NonNegativeInteger,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`4`x`(P,TS,NonNegativeInteger,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``671551
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``671652
ointernalIntegrate`2`n`(FG,Symbol)->IntegrationResult(FG)`pFunctionSpaceComplexIntegrationAux(G,FG)``671753
ointernalIntegrate`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``671877
ointernalIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``672001
ointernalIntegrate0`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``672084
ointernalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``672165
ointernalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``672277
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``672400
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``672625
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``672850
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``673109
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``673363
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``673472
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``673581
ointerpolate`3`n`(List(D),List(D),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``673629
ointerpolate`3`n`(List(Fraction(D)),List(Fraction(D)),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``674012
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``674187
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpret_in_new_env`1`n`(%)->Any`dInputForm``674238
ointerpret`1`n`(%)->Any`dInputForm``674374
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``674437
ointerpretString`1`n`(String)->Any`pTemplateUtilities``674559
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``674668
ointersect`1`x`(List(%))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``674966
ointersect`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ointersect`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`x`(%,%)->%`cSetAggregate(S)``675053
ointersect`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``675320
ointersect`2`x`(List(P),%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``675413
ointersect`2`x`(List(P),List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``675589
ointersect`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``675692
ointersect`2`x`(P,List(%))->List(%)`cRegularTriangularSetCategory(R,E,V,P)``675769
ointersection`1`n`(List(%))->%`dSBoundary(PT)``675848
ointerval`1`x`(Fraction(Integer))->%`cIntervalCategory(R)``676014
ointerval`1`x`(R)->%`cIntervalCategory(R)``676080
ointerval`2`n`(NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dFreeDivisionAlgebra(VAR,F)``676146
ointerval`2`n`(R,R)->%`cAIntervalCategory(R)``676226
ointerval`2`n`(R,R)->S`xAIntervalCategory&(S,R)``0
ointoMatrix`2`x`(List(P),List(OV))->Record(mat:Matrix(Fraction(P)),vec:Vector(Fraction(P)))`pLinearSystemPolynomialPackage(R,E,OV,P)``676341
oinv`1`n`(%)->%`cAIntervalCategory(R)`AND(has(R,Field),has(R,OrderedRing))`676461
oinv`1`n`(%)->%`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``676606
oinv`1`n`(%)->%`dModularRing(R,Mod,reduction,merge,exactQuo)``676641
oinv`1`n`(S)->S`xAIntervalCategory&(S,R)``0
oinv`1`n`(S)->S`xComplexCategory&(S,R)``0
oinv`1`n`(S)->S`xField&(S)``0
oinv`1`n`(S)->S`xOctonionCategory&(S,R)``0
oinv`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oinv`1`n`(Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``676676
oinv`1`x`(%)->%`cDivisionRing``676748
oinv`1`x`(%)->%`cGroup``676841
oinv`1`x`(%)->%`cOctonionCategory(R)`has(R,Field)`676895
oinv`1`x`(%)->%`dEquation(S)`has(S,Field)`676962
oinverse_cyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicUtilities``677031
oinverse`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``677159
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``677213
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``677281
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``677441
oinverse`1`x`(%)->Union(%,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`677659
oinverse`1`x`(%)->Union(%,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`677819
oinverse`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`677949
oinverse`2`n`(U32Matrix,Integer)->Union(U32Matrix,"failed")`pModularU32MatrixOperations``678100
oinverseColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``678224
oinverseIntegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``678910
oinverseIntegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``679125
oinverseLaplace`3`x`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``679347
oinvertALS`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``679553
oinvertible?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``679680
oinvertible?`2`x`(P,%)->List(Record(val:Boolean,tower:%))`cRegularTriangularSetCategory(R,E,V,P)``679800
oinvertibleElseSplit?`2`x`(P,%)->Union(Boolean,List(%))`cRegularTriangularSetCategory(R,E,V,P)``680017
oinvertibleSet`2`x`(P,%)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``680212
oinvertIfCan`1`x`(%)->Union(%,"failed")`dMatrix(R)`has(R,IntegralDomain)`680390
oinvertIfCan`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`680554
oinvertMIN`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``680629
oinvertSTD`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``680809
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`x`(%,%)->%`cIntegerNumberSystem``680965
oinvmultisect`3`n`(Integer,Integer,%)->%`dUnivariateFormalPowerSeries(Coef)``0
oinvmultisect`3`n`(Integer,Integer,%)->%`dUnivariateTaylorSeries(Coef,var,cen)``681050
oinvmultisect`3`n`(Integer,Integer,Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``681179
oiomode`1`x`(%)->String`cFileCategory(Name,S)``681292
oIota`0`n`()->Symbol`pMathematicalSymbols``681436
oiota`0`n`()->Symbol`pMathematicalSymbols``681503
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``681568
oiprint`1`n`(String)->Void`pInternalPrintPackage``681623
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`681702
oirootDep`1`x`(Kernel(F))->Union(vec:Vector(Fraction(Integer)),func:F,fail:Boolean)`pElementaryFunctionStructurePackage(R,F)``681763
oirreducible?`1`n`(UP)->Boolean`pUnivariateFiniteFieldFactorize(F,UP)``681844
oirreducible?`2`n`(PA,MD)->Boolean`pModularFactorizationGeneral(PA,MMT,MD,PMD,MO)``681908
oirreducible?`2`n`(PrimitiveArray(K),Record(i_mod:Integer,deg:Integer))->Boolean`pModularFactorizationK(K)``0
oirreducible?`2`n`(U32Vector,Integer)->Boolean`pModularFactorization``0
oirreducibleFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``682068
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`682229
oirreducibleRepresentation`1`x`(List(Integer))->List(Matrix(Integer))`pIrrRepSymNatPackage``682491
oirreducibleRepresentation`2`x`(List(Integer),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``682836
oirreducibleRepresentation`2`x`(List(Integer),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``683060
ois_symbol?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``683328
ois?`2`n`(%,BasicOperator)->Boolean`cKernelCategory(S)``683438
ois?`2`n`(%,Symbol)->Boolean`cKernelCategory(S)``683500
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace2&(S,K)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace2&(S,K)``0
ois?`2`x`(%,BasicOperator)->Boolean`cExpressionSpace2(K)``683575
ois?`2`x`(%,Symbol)->Boolean`cExpressionSpace2(K)``683657
ois?`2`x`(%,Symbol)->Boolean`dBasicOperator``683756
ois?`2`x`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``683825
ois?`2`x`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``683942
oIs`2`x`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``684032
oIs`2`x`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`684165
oIs`2`x`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`684415
oIs`2`x`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`684665
oisAbsolutelyIrreducible?`1`x`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`684942
oisAbsolutelyIrreducible?`2`x`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`685076
oisAcyclic?`1`n`(%)->Boolean`cFiniteGraph(S)``685561
oisAcyclic?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisAntiChain?`1`n`(%)->Boolean`cPoset(S)``685631
oisBasis?`1`n`(List(Vector(R)))->Boolean`dVectorSpaceBasis(R)``685752
oisBoundNode?`1`n`(%)->Boolean`dLambda(UT)``685830
oisBox?`1`n`(%)->Boolean`dSBoundary(PT)``685901
oisChain?`1`n`(%)->Boolean`cPoset(S)``685980
oisCompound?`1`n`(%)->Boolean`dLambda(UT)``686090
oisDirected?`0`n`()->Boolean`cFiniteGraph(S)``686180
oisDirected?`0`n`()->Boolean`xFiniteGraph&(A,S)``686307
oisDirected?`0`n`()->Boolean`xPoset&(A,S)``0
oisDirectSuccessor?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``686434
oisDirectSuccessor?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisDirectSuccessor?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisEllipse?`1`n`(%)->Boolean`dSBoundary(PT)``686593
oisExpt`1`n`(%)->Union(Record(val:%,exponent:NonNegativeInteger),"failed")`dPattern(R)``686674
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``686782
oisExpt`1`n`(S)->Union(Record(var:K,exponent:Integer),"failed")`xFunctionSpace2&(S,R,K)``0
oisExpt`1`n`(S)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisExpt`1`x`(%)->Union(Record(var:K,exponent:Integer),"failed")`cFunctionSpace2(R,K)`has(R,SemiGroup)`686885
oisExpt`1`x`(%)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`686968
oisExpt`2`n`(S,BasicOperator)->Union(Record(var:K,exponent:Integer),"failed")`xFunctionSpace2&(S,R,K)``0
oisExpt`2`n`(S,Symbol)->Union(Record(var:K,exponent:Integer),"failed")`xFunctionSpace2&(S,R,K)``0
oisExpt`2`x`(%,BasicOperator)->Union(Record(var:K,exponent:Integer),"failed")`cFunctionSpace2(R,K)`has(R,Ring)`687079
oisExpt`2`x`(%,Symbol)->Union(Record(var:K,exponent:Integer),"failed")`cFunctionSpace2(R,K)`has(R,Ring)`687187
oisFixPoint?`2`n`(%,NonNegativeInteger)->Boolean`cFiniteGraph(S)``687293
oisFixPoint?`2`n`(A,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisFixPoint?`2`n`(A,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisFreeNode?`1`n`(%)->Boolean`dLambda(UT)``687370
oisFunctional?`1`n`(%)->Boolean`cFiniteGraph(S)``687443
oisFunctional?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisGreaterThan?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``687604
oisGreaterThan?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisGreaterThan?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisI?`1`n`(%)->Boolean`dSKICombinators(UT)``687802
oisK?`1`n`(%)->Boolean`dSKICombinators(UT)``687868
oisLambda?`1`n`(%)->Boolean`dLambda(UT)``687933
oisList`1`n`(%)->Union(List(%),"failed")`dPattern(R)``688006
oisMult`1`n`(S)->Union(Record(coef:Integer,var:K),"failed")`xFunctionSpace2&(S,R,K)``0
oisMult`1`x`(%)->Union(Record(coef:Integer,var:K),"failed")`cFunctionSpace2(R,K)`has(R,AbelianSemiGroup)`688108
oisNodeBranch?`1`n`(%)->Boolean`dSceneNamedPoints(PT)``688193
oisNodeLeaf?`1`n`(%)->Boolean`dSceneNamedPoints(PT)``688265
oisNull?`1`n`(%)->Boolean`dSBoundary(PT)``688357
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`x`(%)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``688450
oisOp`1`n`(%)->Union(Record(op:BasicOperator,arg:List(%)),"failed")`dPattern(R)``688631
oisOp`2`n`(%,BasicOperator)->Union(List(%),"failed")`dPattern(R)``688743
oisPlus`1`n`(%)->Union(List(%),"failed")`dPattern(R)``688853
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``688990
oisPlus`1`n`(S)->Union(List(S),"failed")`xFunctionSpace2&(S,R,K)``0
oisPlus`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisPlus`1`x`(%)->Union(List(%),"failed")`cFunctionSpace2(R,K)`has(R,AbelianSemiGroup)`689116
oisPlus`1`x`(%)->Union(List(%),"failed")`cPolynomialCategory(R,E,VarSet)``689213
oisPoint?`1`n`(%)->Boolean`cSPointCategory``689365
oisPointLeaf?`1`n`(%)->Boolean`dSceneNamedPoints(PT)``689462
oisPower`1`n`(%)->Union(Record(val:%,exponent:%),"failed")`dPattern(R)``689579
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``689671
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace2&(S,R,K)``0
oisPower`1`x`(%)->Union(Record(val:%,exponent:Integer),"failed")`cFunctionSpace2(R,K)`has(R,Ring)`689775
oisQuotient`1`n`(%)->Union(Record(num:%,den:%),"failed")`dPattern(R)``689859
oisS?`1`n`(%)->Boolean`dSKICombinators(UT)``689954
oisSubsetOf?`2`n`(%,%)->Boolean`dOrientedFacet``690019
oisTimes`1`n`(%)->Union(List(%),"failed")`dPattern(R)``690145
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``690269
oisTimes`1`n`(S)->Union(List(S),"failed")`xFunctionSpace2&(S,R,K)``0
oisTimes`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisTimes`1`x`(%)->Union(List(%),"failed")`cFunctionSpace2(R,K)`has(R,SemiGroup)`690385
oisTimes`1`x`(%)->Union(List(%),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`690481
oisVector?`1`n`(%)->Boolean`cSPointCategory``690768
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``690863
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`x`(%)->List(%)`cRecursivePolynomialCategory(R,E,V)``690936
ojacobi`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``691086
ojacobi2poly`2`n`(Stream(R),Stream(R))->Stream(SparseUnivariatePolynomial(R))`pMomentPackage(R)``691362
ojacobian`2`n`(FLAF,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``691507
ojacobiCn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``691698
ojacobiCn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``691859
ojacobiCn`2`x`(%,%)->%`cSpecialFunctionCategory``691974
ojacobiCn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``692135
ojacobiCn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``692197
ojacobiDn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``692259
ojacobiDn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``692422
ojacobiDn`2`x`(%,%)->%`cSpecialFunctionCategory``692537
ojacobiDn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``692700
ojacobiDn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``692762
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``692824
ojacobiIdentity?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``693028
ojacobiMatrix`1`n`(%)->List(SparseEchelonMatrix(JB,D))`dJetDifferentialEquation(JB,D)``693232
ojacobiMatrix`1`n`(List(%))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``693335
ojacobiMatrix`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiMatrix`2`n`(List(%),List(List(JB)))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``693435
ojacobiMatrix`2`n`(List(S),List(List(JB)))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiP`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``693662
ojacobiP`4`x`(%,%,%,%)->%`cSpecialFunctionCategory``693722
ojacobiParameters`1`n`(%)->Record(an:Stream(Fraction(R)),bn:Stream(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`693782
ojacobiParameters`1`n`(%)->Record(an:Stream(R),bn:Stream(R))`cDistributionCategory(R)`has(R,Field)`693895
ojacobiPathArray`2`n`(Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``694008
ojacobiSn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``694168
ojacobiSn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``694304
ojacobiSn`2`x`(%,%)->%`cSpecialFunctionCategory``694419
ojacobiSn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``694555
ojacobiSn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``694617
ojacobiTheta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``694679
ojacobiTheta`2`x`(%,%)->%`cSpecialFunctionCategory``694760
ojacobiZeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``694841
ojacobiZeta`2`x`(%,%)->%`cSpecialFunctionCategory``695031
ojacobiZeta`2`x`(Float,Float)->Float`pFloatEllipticFunctions``695221
ojanko2`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``695280
ojanko2`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``695364
oJContinuedFraction`2`x`(Distribution(R),UnivariatePolynomial(z,Fraction(R)))->ContinuedFraction(UnivariatePolynomial(z,Fraction(R)))`pDistributionContinuedFractionPackage(R,z)`AND(has(R,IntegralDomain),not(has(R,Field)))`695601
oJContinuedFraction`2`x`(Distribution(R),UnivariatePolynomial(z,R))->ContinuedFraction(UnivariatePolynomial(z,R))`pDistributionContinuedFractionPackage(R,z)`has(R,Field)`695706
ojetVariables`1`n`(%)->List(JB)`cJetBundleFunctionCategory(JB)``695811
ojoin`1`n`(List(%))->%`dLatticeJoinOfMeets``695920
ojoin`1`n`(List(%))->%`dLatticeMeetOfJoins``695958
ojoin`2`n`(%,%)->%`dJetDifferentialEquation(JB,D)``695996
ojoin`2`n`(%,%)->%`dOrientedFacet``696095
ojoin`2`n`(%,%)->%`dSparseEchelonMatrix(C,D)``696242
ojoin`2`x`(%,List(%))->%`cStringAggregate``696322
ojoin`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cDcpo(S)``696526
ojoinIfCan`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``696683
ojoinIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojoinIfCan`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``696774
ojoinIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``697027
ojordanAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``697317
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``697607
ojordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``697949
oK`0`n`()->%`dSKICombinators(UT)``698291
oKappa`0`n`()->Symbol`pMathematicalSymbols``698331
okappa`0`n`()->Symbol`pMathematicalSymbols``698400
okaratsuba`4`x`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``698467
okaratsubaDivide`2`x`(%,NonNegativeInteger)->Record(quotient:%,remainder:%)`cUnivariatePolynomialCategory(R)`has(R,Ring)`698820
okaratsubaOnce`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``698914
okelvinBei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``699081
okelvinBei`2`x`(%,%)->%`cSpecialFunctionCategory``699255
okelvinBer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``699427
okelvinBer`2`x`(%,%)->%`cSpecialFunctionCategory``699599
okelvinKei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``699771
okelvinKei`2`x`(%,%)->%`cSpecialFunctionCategory``699960
okelvinKer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``700149
okelvinKer`2`x`(%,%)->%`cSpecialFunctionCategory``700338
okernel`1`n`(Symbol)->%`cKernelCategory(S)``700527
okernel`2`n`(BasicOperator,List(S))->S`xExpressionSpace2&(S,K)``0
okernel`2`n`(BasicOperator,S)->S`xExpressionSpace2&(S,K)``0
okernel`2`x`(BasicOperator,%)->%`cExpressionSpace2(K)``700588
okernel`2`x`(BasicOperator,List(%))->%`cExpressionSpace2(K)``700670
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->%`cKernelCategory(S)``700767
okernels`1`n`(List(S))->List(K)`xExpressionSpace2&(S,K)``0
okernels`1`n`(List(S))->List(K)`xFunctionSpace2&(S,R,K)``0
okernels`1`n`(S)->List(K)`xExpressionSpace2&(S,K)``0
okernels`1`n`(S)->List(K)`xFunctionSpace2&(S,R,K)``0
okernels`1`x`(%)->List(K)`cExpressionSpace2(K)``700956
okernels`1`x`(List(%))->List(K)`cExpressionSpace2(K)``701120
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`x`(Key,%)->Boolean`cKeyedDictionary(Key,Entry)``701310
okey`1`n`(%)->Integer`dGraphImage``701381
okey`1`n`(%)->Integer`dTwoDimensionalViewport``701508
okey`1`x`(%)->Integer`dThreeDimensionalViewport``701662
okeys`1`n`(%)->List(String)`dBasicKeyedAccessFile``701820
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`x`(%)->List(Key)`cKeyedDictionary(Key,Entry)``701878
okgraph`2`n`(List(S),String)->%`cFiniteGraph(S)``701944
okgraph`2`n`(List(S),String)->A`xPoset&(A,S)``0
okleinBottle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``702255
okleinBottle`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``702295
okleinBottle`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``702363
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``702437
oknownHandler?`3`n`(%,Integer,String)->Boolean`dOperatorHandlers(HANDLER)``702520
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``702831
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``702878
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``703198
okprod`1`x`(List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``703624
okprod`1`x`(List(Float))->Float`pFloatEllipticFunctions``703645
okrawtchoukK`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``703666
okrawtchoukK`4`x`(%,%,%,%)->%`cSpecialFunctionCategory``703734
okronecker_prod1`7`n`(S,Integer,List(List(NonNegativeInteger)),List(S),NonNegativeInteger,NonNegativeInteger,Union(R,"one"))->Void`xMatrixCategory&(S,R,Row,Col)``0
okronecker_prod1`7`x`(%,Integer,List(List(NonNegativeInteger)),List(%),NonNegativeInteger,NonNegativeInteger,Union(R,"one"))->Void`cMatrixCategory(R,Row,Col)``703802
okroneckerDelta`0`x`()->%`dCartesianTensor(minix,dim,R)``703842
okroneckerProduct`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`1`x`(List(%))->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`704035
okroneckerProduct`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`704228
okroneckerSum`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`1`x`(List(%))->%`cMatrixCategory(R,Row,Col)``704393
okroneckerSum`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`2`x`(%,%)->%`cMatrixCategory(R,Row,Col)``704515
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``704609
okummerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``704723
okummerM`3`x`(%,%,%)->%`cSpecialFunctionCategory``704787
okummerU`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``704853
okummerU`3`x`(%,%,%)->%`cSpecialFunctionCategory``704917
olabel`2`n`(%,%)->%`dOutputForm``704983
olagrange`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
olagrange`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``705057
olagrange`1`n`(Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)``705211
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``705341
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``705399
olaguerreL`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``705673
olaguerreL`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``705841
olaguerreL`3`x`(%,%,%)->%`cSpecialFunctionCategory``705902
olaguerreL`3`x`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``705963
oLambda`0`n`()->Symbol`pMathematicalSymbols``706108
olambda`0`n`()->Symbol`pMathematicalSymbols``706179
olambda`1`n`(NonNegativeInteger)->%`dLambda(UT)``706248
olambda`1`n`(UT)->%`dLambda(UT)``706322
olambda`2`n`(%,%)->%`dLambda(UT)``706371
olambda`2`n`(%,List(Symbol))->%`dInputForm``706422
olambda`2`n`(%,UT)->%`dLambda(UT)``706593
olambert_inverse_series`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``706669
olambert_inverse_series`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``706689
olambert_inverse_series`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``706709
olambert_inverse_series`2`x`(Float,Float)->Float`pFloatSpecialFunctions``706729
olambert_via_newton1`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``706749
olambert_via_newton1`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``706769
olambert_via_newton1`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``706789
olambert_via_newton1`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``706809
olambert_via_newton2`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``706829
olambert_via_newton2`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``706849
olambert_via_newton2`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``706869
olambert_via_newton2`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``706889
olambert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
olambert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``706909
olambert`1`n`(Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)``707272
olambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``707579
olambertW`1`x`(%)->%`cSpecialFunctionCategory``707651
olambertW`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``707761
olambertW`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``707821
olambertW`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``707881
olambertW`1`x`(Float)->Float`pFloatSpecialFunctions``707941
olambertW0`1`n`(UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``708001
olambintegrate`6`n`(Fraction(UP),F,(F)->F,(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),(F)->IntegrationResult(F))->Record(answer:IntegrationResult(Fraction(UP)),a0:IntegrationResult(F))`pTranscendentalIntegration(F,UP)``708097
olanden`2`x`(Complex(Float),Float)->List(Complex(Float))`pFloatEllipticFunctions``708430
olanden`2`x`(Float,Float)->List(Float)`pFloatEllipticFunctions``708451
olanden1`2`x`(Complex(Float),List(Complex(Float)))->List(Complex(Float))`pFloatEllipticFunctions``708472
olanden1`2`x`(Float,List(Float))->List(Float)`pFloatEllipticFunctions``708493
olanden2`3`x`(Complex(Float),List(Complex(Float)),Float)->List(Complex(Float))`pFloatEllipticFunctions``708514
olanden2`3`x`(Float,List(Float),Float)->List(Float)`pFloatEllipticFunctions``708535
olaplace`3`x`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``708556
olaplacian`2`n`(F,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``708818
olaplacianMatrix`1`n`(%)->Matrix(Integer)`cFiniteGraph(S)``708959
olaplacianMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`709502
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``709672
olast`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
olast`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
olast`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
olast`1`x`(%)->S`cDoublyLinkedAggregate(S)``709832
olast`1`x`(%)->S`cUnaryRecursiveAggregate(S)``709947
olast`1`x`(%)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``710057
olast`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
olast`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
olast`2`x`(%,NonNegativeInteger)->%`cUnaryRecursiveAggregate(S)``710206
olastSubResultant`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`710342
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``710543
olastSubResultant`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`710645
olastSubResultant`3`x`(P,P,%)->List(Record(val:P,tower:%))`cRegularTriangularSetCategory(R,E,V,P)``710880
olastSubResultantElseSplit`3`x`(P,P,%)->Union(P,List(%))`cRegularTriangularSetCategory(R,E,V,P)``711526
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``711869
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`x`(%)->String`cSetCategory``712023
olatticeJoinOfMeets`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->%`dLatticeJoinOfMeets``712107
olatticeMeetOfJoins`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->%`dLatticeMeetOfJoins``712151
olaurent`1`x`(%)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``712195
olaurent`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``712328
olaurent`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``712511
olaurent`2`n`(Integer,Stream(Coef))->S`xUnivariateLaurentSeriesCategory&(S,Coef)``0
olaurent`2`n`(Integer,Stream(Coef))->S`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
olaurent`2`n`(Integer,UTS)->S`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
olaurent`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``712581
olaurent`2`x`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``712694
olaurent`2`x`(Integer,Stream(Coef))->%`cUnivariateLaurentSeriesCategory(Coef)``712937
olaurent`2`x`(Integer,UTS)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``713120
olaurent`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``713178
olaurent`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
olaurent`3`x`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``713365
olaurent`4`n`((Integer)->R,Symbol,R,UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries1(R)``713535
olaurent`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`713720
olaurent`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`0
olaurentIfCan`1`x`(%)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``713897
olaurentRep`1`x`(%)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``714050
oLazardQuotient`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``714183
oLazardQuotient`3`x`(%,%,NonNegativeInteger)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`714255
oLazardQuotient2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``714369
oLazardQuotient2`4`x`(%,%,%,NonNegativeInteger)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`714455
olazy?`1`x`(%)->Boolean`cLazyStreamAggregate(S)``714583
olazyEvaluate`1`x`(%)->%`cLazyStreamAggregate(S)``714751
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)`has(A,Field)`715028
olazyIntegrate`2`n`(Coef,()->Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``715104
olazyIntegrate`2`n`(M,()->Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)`has(R,Algebra(Fraction(Integer)))`715209
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`715304
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``715722
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``715852
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``715988
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``716199
olazyPremWithDefault`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`2`x`(%,%)->Record(coef:%,gap:NonNegativeInteger,remainder:%)`cRecursivePolynomialCategory(R,E,V)``716467
olazyPremWithDefault`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`3`x`(%,%,V)->Record(coef:%,gap:NonNegativeInteger,remainder:%)`cRecursivePolynomialCategory(R,E,V)``716601
olazyPseudoDivide`2`n`(%,%)->Record(coef:R,gap:NonNegativeInteger,quotient:%,remainder:%)`dNewSparseUnivariatePolynomial(R)``716744
olazyPseudoDivide`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`2`x`(%,%)->Record(coef:%,gap:NonNegativeInteger,quotient:%,remainder:%)`cRecursivePolynomialCategory(R,E,V)``716958
olazyPseudoDivide`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`3`x`(%,%,V)->Record(coef:%,gap:NonNegativeInteger,quotient:%,remainder:%)`cRecursivePolynomialCategory(R,E,V)``717153
olazyPseudoQuotient`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)``717367
olazyPseudoRemainder`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)``717484
olazyResidueClass`2`n`(%,%)->Record(polnum:%,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``717716
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`x`(%,%)->Record(polnum:%,polden:%,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``717987
olazyVariations`3`x`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`718208
olc`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``718332
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`x`(List(%))->%`cGcdDomain``718370
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`x`(%,%)->%`cGcdDomain``718463
olcm`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``718547
olcmCoef`2`n`(%,%)->Record(llcm_res:%,coeff1:%,coeff2:%)`cLeftOreRing``718667
olcmCoef`2`n`(S,S)->Record(llcm_res:S,coeff1:S,coeff2:S)`xGcdDomain&(S)``0
olcx0`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->Record(lcx0lc:SparseMultivariatePolynomial(Integer,Symbol),lcx0m:SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``718874
olcz`2`n`(SparseMultivariatePolynomial(Integer,Symbol),Symbol)->Record(lczlc:SparseMultivariatePolynomial(Integer,Symbol),k:Integer)`pPrimGCD``719140
oldegree`2`n`(PT,Symbol)->NonNegativeInteger`cModularEvaluationCategory(PT,MP)``719251
oldivide`2`n`(XDistributedPolynomial(vl,F),XDistributedPolynomial(vl,F))->Record(quotient:XDistributedPolynomial(vl,F),remainder:XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``719528
oLE`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``719782
ole`3`n`(%,S,S)->Boolean`cPreorder(S)``719872
ole`3`n`(A,S,S)->Boolean`xPoset&(A,S)``0
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`x`(%)->V`cDifferentialPolynomialCategory(R,S,V,E)``720074
oleadingBasisTerm`1`n`(%)->%`dAntiSymm(R,lVar)``720248
oleadingBasisTerm`1`n`(%)->%`dDeRhamComplex(CoefRing,listIndVar)``720351
oleadingCoefficient`1`n`(%)->A`cIndexedProductCategory(A,S)`has(S,Comparable)`720449
oleadingCoefficient`1`n`(%)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``720632
oleadingCoefficient`1`n`(%)->R`cSolvableSkewPolynomialCategory(R,Expon)``720733
oleadingCoefficient`1`n`(%)->R`dAntiSymm(R,lVar)``720833
oleadingCoefficient`1`n`(%)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``720939
oleadingCoefficient`1`n`(%)->R`dLaurentPolynomial(R,UP)``720989
oleadingCoefficient`1`n`(A)->R`xFreeModuleCategory&(A,R,S)``0
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`x`(%)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``721036
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`x`(%,V)->%`cRecursivePolynomialCategory(R,E,V)``721133
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``721282
oleadingDer`1`n`(%)->JB`cJetBundleFunctionCategory(JB)``721624
oleadingDer`1`n`(S)->JB`xJetBundleFunctionCategory&(S,JB)``0
oleadingExponent`1`n`(%)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``721759
oleadingIdeal`1`x`(%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``721806
oleadingIndex`1`n`(%)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``721919
oleadingMonomial`1`n`(%)->%`cIndexedProductCategory(A,S)`has(S,Comparable)`721963
oleadingMonomial`1`n`(%)->%`cSolvableSkewPolynomialCategory(R,Expon)``722098
oleadingMonomial`1`n`(%)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``722189
oleadingMonomial`1`n`(A)->A`xFreeModuleCategory&(A,R,S)``0
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`x`(%)->%`cPowerSeriesCategory(Coef,Expon,Var)``722236
oleadingSupport`1`n`(%)->S`cIndexedProductCategory(A,S)`has(S,Comparable)`722319
oleadingSupport`1`n`(A)->S`xFreeModuleCategory&(A,R,S)``0
oleadingTerm`1`n`(%)->Record(k:S,c:A)`cIndexedProductCategory(A,S)`has(S,Comparable)`722488
oleaf?`1`n`(%)->Boolean`dSubSpace(n,R)``722641
oleaf?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oleaf?`1`x`(%)->Boolean`cRecursiveAggregate(S)``722678
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``722739
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``722990
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``723254
oleaves`1`n`(A)->List(S)`xBinaryRecursiveAggregate&(A,S)``0
oleaves`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oleaves`1`n`(A)->List(S)`xRecursiveAggregate&(A,S)``0
oleaves`1`n`(A)->List(S)`xUnaryRecursiveAggregate&(A,S)``0
oleaves`1`x`(%)->List(S)`cRecursiveAggregate(S)``723369
oleft_ext_GCD`2`n`(XDistributedPolynomial(vl,F),XDistributedPolynomial(vl,F))->Union(Record(g:XDistributedPolynomial(vl,F),c1:XDistributedPolynomial(vl,F),c2:XDistributedPolynomial(vl,F),cu:XDistributedPolynomial(vl,F),cv:XDistributedPolynomial(vl,F)),"failed")`pXPolynomialFactor(vl,F)``723443
oleft`1`n`(%)->%`dFreeMagma(VarSet)``723805
oleft`1`n`(%)->%`dLyndonWord(VarSet)``723935
oleft`1`n`(%)->%`dOutputForm``724066
oleft`1`x`(%)->%`cBinaryRecursiveAggregate(S)``724133
oleft`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``724179
oleft`2`n`(%,Integer)->%`dOutputForm``724252
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``724338
oleftAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``724558
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``724778
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``724936
oleftDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``725300
oleftDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`x`(Vector(%))->R`cFiniteRankNonAssociativeAlgebra(R)``725664
oleftDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`725969
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`726173
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`x`(%,%)->Union(%,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`726422
oleftExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExtendedGcd`2`x`(%,%)->Record(coef1:%,coef2:%,generator:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`726543
oleftFactor`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``726656
oleftFactorIfCan`2`x`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``726807
oleftFamily`1`n`(%)->List(OutputForm)`dFreeDivisionAlgebra(VAR,F)``727045
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`727106
oleftIdentity`1`n`(%)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``727343
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`727407
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`727607
oleftMinimization`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``727841
oleftMult`2`n`(S,%)->%`dListMonoidOps(S,E,un)``728011
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``728135
oleftOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Group)`728233
oleftOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Monoid)`728290
oleftPower`2`n`(S,NonNegativeInteger)->S`xMagmaWithUnit&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMagma&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
oleftPower`2`x`(%,NonNegativeInteger)->%`cMagmaWithUnit``728347
oleftPower`2`x`(%,PositiveInteger)->%`cMagma``728531
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`728715
oleftRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``728905
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`729061
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``729155
oleftRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`729392
oleftRecip`1`n`(S)->Union(S,"failed")`xAIntervalCategory&(S,R)``0
oleftRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRecip`1`n`(S)->Union(S,"failed")`xMagmaWithUnit&(S)``0
oleftRecip`1`x`(%)->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`729629
oleftRecip`1`x`(%)->Union(%,"failed")`cMagmaWithUnit``729843
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`x`(%)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``730028
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`x`(%,Vector(%))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``730200
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`730490
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``730681
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``730873
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``730966
oleftTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``731244
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`x`(Vector(%))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``731522
oleftTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oleftTrim`2`x`(%,CharacterClass)->%`cStringAggregate``731732
oleftTrim`2`x`(%,S)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`731906
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`x`()->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`732068
oleftUnits`0`n`()->Union(Record(particular:%,basis:List(%)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``732191
oleftUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnits`0`x`()->Union(Record(particular:%,basis:List(%)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`732312
oleftZero`1`x`(%)->%`dEquation(S)`has(S,AbelianGroup)`732434
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``732491
olegendre`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``732761
olegendreP`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`733107
olegendreP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``733270
olegendreP`3`x`(%,%,%)->%`cSpecialFunctionCategory``733340
olegendreQ`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``733410
olegendreQ`3`x`(%,%,%)->%`cSpecialFunctionCategory``733480
olength`1`n`(%)->NonNegativeInteger`dFreeMonoid(S)``733550
olength`1`n`(%)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``733606
olength`1`n`(%)->PositiveInteger`dFreeMagma(VarSet)``733698
olength`1`n`(%)->PositiveInteger`dLyndonWord(VarSet)``733765
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``733832
olength`1`x`(%)->%`cIntegerNumberSystem``733943
olength`1`x`(%)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`733997
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``734104
olerchPhi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``734138
olerchPhi`3`x`(%,%,%)->%`cSpecialFunctionCategory``734197
oless?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
oless?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oless?`2`n`(S,S)->Union(Boolean,"failed")`pUserDefinedPartialOrdering(S)``734256
oless?`2`x`(%,NonNegativeInteger)->Boolean`cAggregate``734358
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``734435
olevel`1`n`(%)->NonNegativeInteger`dSubSpace(n,R)``734631
oleviCivitaSymbol`0`x`()->%`dCartesianTensor(minix,dim,R)``734768
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``734993
olexGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``735060
olexico`2`n`(%,%)->Boolean`dFreeMagma(VarSet)``735247
olexico`2`n`(%,%)->Boolean`dFreeMonoid(S)`has(S,OrderedSet)`735535
olexico`2`n`(%,%)->Boolean`dLyndonWord(VarSet)``735691
olexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``735847
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``736471
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``736846
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``736999
olfunc`2`x`(Integer,Integer)->Integer`pHallBasis``737070
olhs`1`n`(%)->S1`dSuchThat(S1,S2)``737293
olhs`1`x`(%)->F`dRewriteRule(Base,R,F)``737348
olhs`1`x`(%)->S`dEquation(S)``737418
oli_int`3`n`(Fraction(SparseUnivariatePolynomial(F)),Kernel(F),Symbol)->Record(answer:Fraction(SparseUnivariatePolynomial(F)),logpart:Fraction(SparseUnivariatePolynomial(F)),ir:IntegrationResult(Fraction(SparseUnivariatePolynomial(F))))`pDenominatorIntegration(R,F)``737492
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``737555
oli`1`x`(%)->%`cLiouvillianFunctionCategory``737615
oli`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``737742
oli`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oli`1`x`(Float)->Float`pFloatLiouvilianFunctions``737802
oli2`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``737862
olibrary`1`x`(FileName)->%`dLibrary``737907
olie`2`n`(%,%)->%`dJetVectorField(JB,D)``737961
olie`2`n`(JetVectorField(JB,D),%)->%`dJetDifferential(JB,D)``738097
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``738191
olieAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``738396
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``738601
olieAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``738917
oLiePoly`1`x`(LyndonWord(VarSet))->%`cFreeLieAlgebra(VarSet,R)``739233
oLiePolyIfCan`1`n`(%)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``739318
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(%,"failed")`dLiePolynomial(VarSet,R)``739397
olift`1`n`(%)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``739532
olift`1`n`(%)->Rep`dModMonic(R,Rep)``739624
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`x`(%)->UP`cMonogenicAlgebra(R,UP)``739680
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``739782
olift`8`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),SparseUnivariatePolynomial(R),P,List(OV),List(NonNegativeInteger),List(R),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateSquareFree(E,OV,R,P)``739821
olifting`7`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(R)),List(R),List(P),List(NonNegativeInteger),(List(SparseUnivariatePolynomial(R)))->Union((SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed"),"failed"))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``739856
olifting`7`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(R)),List(R),List(P),List(NonNegativeInteger),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)`has(R,EuclideanDomain)`740356
olight`1`x`(Color)->%`dPalette``740634
olighting`4`x`(%,Float,Float,Float)->Void`dThreeDimensionalViewport``740714
olimit`2`n`(%,NonNegativeInteger)->Loop`dFunctionGraph(S)``740970
olimit`2`x`(FE,Equation(OrderedCompletion(FE)))->Union(OrderedCompletion(FE),Record(leftHandLimit:Union(OrderedCompletion(FE),"failed"),rightHandLimit:Union(OrderedCompletion(FE),"failed")),"failed")`pPowerSeriesLimitPackage(R,FE)``741111
olimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``741194
olimit`2`x`(Fraction(Polynomial(R)),Equation(OrderedCompletion(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``741319
olimit`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Loop`dMultifunctionGraph(S)``741444
olimit`3`x`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``741585
olimit`3`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``741776
olimitPart`1`n`(%)->%`dSmallOrdinal``742035
olimitPlus`1`n`(%)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``742179
olimitPlus`1`n`(%)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``742252
olin_comb!`3`n`(Vector(F),Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``742327
olin_comb`2`n`(Vector(F),List(F))->F`pLinearCombinationUtilities(F,UP)``742578
olin_comb`2`n`(Vector(F),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``742783
olin_comb`2`n`(Vector(F),List(LaurentPolynomial(F,UP)))->LaurentPolynomial(F,UP)`pLinearCombinationUtilities(F,UP)``742988
olin_comb`2`n`(Vector(F),List(UP))->UP`pLinearCombinationUtilities(F,UP)``743193
olin_comb`2`n`(Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``743398
olin_comb`2`n`(Vector(Fraction(Integer)),List(F))->F`pLinearCombinationUtilities(F,UP)``743612
olin_comb`2`n`(Vector(Fraction(Integer)),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``743817
olin_sol`2`n`(List(F),List(Symbol))->Union(List(F),"failed")`pExpressionLinearSolve(R,F)``744022
oline`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``744173
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``744227
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``744354
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``744392
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`x`(%,SparseUnivariatePolynomial(F))->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`744433
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`x`(%)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`745084
olinearAssociatedLog`2`n`(S,S)->Union(SparseUnivariatePolynomial(F),"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`2`x`(%,%)->Union(SparseUnivariatePolynomial(F),"failed")`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`745234
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`x`(%)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`745466
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``745618
olinearDependenceOverConstants`2`n`(Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``745844
olinearDependenceOverZ`1`x`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``746090
olinearExtend`2`n`((List(B))->M2,TensorPower(n,R,B,M1))->M2`pTensorPowerFunctions2(n,R,B,M1,M2)``746327
olinearExtend`2`x`((S)->M2,M1)->M2`pFreeModuleFunctions2(R,S,M1,M2)``746478
olinearExtend`2`x`((S)->R,%)->R`cFreeModuleCategory(R,S)`has(R,CommutativeRing)`746617
olinearization`1`n`(%)->Matrix(%)`dFreeDivisionAlgebra(VAR,F)``746743
olinearization`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``746899
olinearize`1`n`(List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta))))->List(JetBundleLinearFunction(JetBundleSymAna(JB1,xi,eta),JetBundleXExpression(JetBundleSymAna(JB1,xi,eta))))`pSymmetryAnalysis(JB1,xi,eta)``746977
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``747110
olinearlyDependentOverConstants?`2`n`(Vector(F),List((F)->F))->Boolean`pConstantLinearDependence(R,F)``747266
olinearlyDependentOverZ?`1`x`(Vector(R))->Boolean`pIntegerLinearDependence(R)``747440
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``747605
olinearSearch`1`n`((S)->Boolean)->Union(S,"failed")`pSortedCache(S)``747769
olineColorDefault`0`x`()->Palette`pViewDefaultsPackage``747970
olineColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``748074
olineIntersect`2`n`(%,PT)->PT`dSBoundary(PT)``748200
olines`1`n`(%)->List(String)`dOutputBox``748455
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``748575
olink`2`n`(%,%)->List(PT)`dSBoundary(PT)``748613
olink`2`n`(%,OrientedFacet)->%`dFiniteSimplicialComplex(VS)``748855
olink`2`n`(NonNegativeInteger,NonNegativeInteger)->%`dDeltaComplex(VS)``748984
olinSolve`2`x`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``749026
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``749171
olist?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``749242
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist`1`x`(S)->%`cListAggregate(S)``749321
olistBranches`1`x`(%)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``749385
olistBranches`1`x`(%)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``749499
olistConjugateBases`3`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),NonNegativeInteger,NonNegativeInteger)->List(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))`pChineseRemainderToolsForIntegralBases(K,R,UP)``749613
olistLoops`1`n`(%)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``749853
olistOfLists`1`n`(S)->List(List(R))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
olistOfLists`1`x`(%)->List(List(R))`cRectangularMatrixCategory(m,n,R,Row,Col)``749966
olistOfLists`1`x`(%)->List(List(R))`cTwoDimensionalArrayCategory(R,Row,Col)``750055
olistOfLists`1`x`(%)->List(List(S))`dTableau(S)``750143
olistOfMonoms`1`n`(%)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``750219
olistOfTerms`1`n`(%)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``750301
olistOfTerms`1`n`(%)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``750396
olistOfTerms`1`x`(%)->List(Record(k:S,c:A))`cIndexedDirectProductCategory(A,S)``750474
olistRepresentation`1`x`(%)->Record(preimage:List(S),image:List(S))`dPermutation(S)``750698
olists`1`n`(%)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``751062
olistYoungTableaus`1`x`(List(Integer))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``751131
oLLF_to_LPA`5`n`(List(List(F)),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePadeSolver(F,S)``751596
oLLFI_to_LPA`3`n`(List(List(Fraction(Integer))),Integer,Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``751621
oLLFPI_to_LPA`5`n`(List(List(Fraction(Polynomial(Integer)))),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``751647
oLLL`1`n`(Matrix(Integer))->Matrix(Integer)`pLLLReduction``751673
olllip`1`x`(%)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``751817
olllp`1`x`(%)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``752075
ollprop`1`x`(%)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``752321
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``752569
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``752768
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``752967
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``753818
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``754675
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``755526
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``756383
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``756443
olog_plus_1`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatElementaryFunctions``756559
olog_series`2`n`(Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``0
olog`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``756634
olog`1`n`(%)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``756701
olog`1`n`(F)->F`pElementaryFunction(R,F)``756757
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``756821
olog`1`n`(S)->S`xComplexCategory&(S,R)``0
olog`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesTranscendentalFunctions(Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``756969
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``757027
olog`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``757085
olog`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``757156
olog`1`x`(%)->%`cElementaryFunctionCategory``757229
olog`2`n`(%,NonNegativeInteger)->%`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`757468
olog`2`n`(Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``757560
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``757660
olog1`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``757747
olog10`0`x`()->%`dFloat``757949
olog10`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``758017
olog10`1`n`(PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``758095
olog10`1`x`(%)->%`dDoubleFloat``758188
olog10`1`x`(%)->%`dFloat``758261
olog2`0`x`()->%`dFloat``758332
olog2`1`n`(PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``758416
olog2`1`x`(%)->%`dDoubleFloat``758507
olog2`1`x`(%)->%`dFloat``758578
ologDependenceQ`2`n`(List(Fraction(Integer)),Fraction(Integer))->Union(Vector(Fraction(Integer)),"failed")`pMultiplicativeDependence``758647
ologextint`3`n`(Symbol,List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer))))`pParametricIntegration(R,F)``758800
ologextint`5`n`((UP)->UP,(UP)->Factored(UP),(Matrix(F))->List(Vector(Fraction(Integer))),(List(UP))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer)))),List(Fraction(UP)))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer))))`pParametricTranscendentalIntegration(F,UP)``758989
ologGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
ologGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``759209
ologGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ologGamma`1`x`(Float)->Float`pFloatSpecialFunctions``759274
ological?`1`n`(%)->Boolean`dFortranScalarType``759339
ologicF`0`n`()->%`dILogic``759431
ologicF`0`n`()->%`dLatticeJoinOfMeets``759490
ologicF`0`n`()->%`dLatticeMeetOfJoins``759557
ologicT`0`n`()->%`dILogic``759624
ologicT`0`n`()->%`dLatticeJoinOfMeets``759666
ologicT`0`n`()->%`dLatticeMeetOfJoins``759709
ologIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``759752
ologpart`1`n`(%)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``759837
olommelS1`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``759917
olommelS1`3`x`(%,%,%)->%`cSpecialFunctionCategory``759984
olommelS2`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``760051
olommelS2`3`x`(%,%,%)->%`cSpecialFunctionCategory``760118
olookup`1`n`(A)->PositiveInteger`xFiniteSetAggregate&(A,S)``0
olookup`1`n`(S)->PositiveInteger`xDirectProductCategory&(S,dim,R)``0
olookup`1`n`(S)->PositiveInteger`xFramedModule&(S,R)``0
olookup`1`n`(S)->PositiveInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
olookup`1`n`(Vector(GF))->PositiveInteger`pInnerNormalBasisFieldFunctions(GF)``760185
olookup`1`x`(%)->PositiveInteger`cFinite``760258
oloop`1`n`(List(NonNegativeInteger))->%`dLoop``760346
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``760423
oloopsArrows`1`n`(%)->List(Loop)`cFiniteGraph(S)``760879
oloopsArrows`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsAtNode`2`n`(%,NonNegativeInteger)->List(Loop)`cFiniteGraph(S)``761234
oloopsAtNode`2`n`(A,NonNegativeInteger)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsNodes`1`n`(%)->List(Loop)`cFiniteGraph(S)``761340
oloopsNodes`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
olooseEquals`2`n`(%,%)->Boolean`cFiniteGraph(S)``761500
olooseEquals`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
olooseEquals`2`n`(A,A)->Boolean`xPoset&(A,S)``0
olow`1`x`(%)->S`cSegmentCategory(S)``761892
olower_triangular_inverse`3`n`(U32Matrix,U32Vector,Integer)->U32Matrix`pModularU32MatrixOperations``761981
olowerCase!`1`x`(%)->%`cStringAggregate``762202
olowerCase?`1`x`(%)->Boolean`dCharacter``762306
olowerCase`0`x`()->%`dCharacterClass``762415
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase`1`x`(%)->%`cStringAggregate``762539
olowerCase`1`x`(%)->%`dCharacter``762620
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``762789
olowerSet`1`n`(%)->%`cPoset(S)``762941
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``763079
olp`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``763288
olprop`1`x`(%)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``763578
olquo`2`n`(%,%)->Union(%,"failed")`dFreeMonoid(S)``763772
olquo`2`n`(%,S)->Union(%,"failed")`dFreeMonoid(S)``763962
olquo`2`x`(%,%)->%`cXFreeAlgebra(vl,R)``764044
olquo`2`x`(%,FreeMonoid(vl))->%`cXFreeAlgebra(vl,R)``764133
olquo`2`x`(%,vl)->%`cXFreeAlgebra(vl,R)``764224
olquo`2`x`(XRecursivePolynomial(VarSet,R),%)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``764319
olSpaceBasis`1`n`(%)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``764401
oLT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``764510
olub`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``764599
olub`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
oLUDecomp`1`n`(Matrix(D))->Record(LU:Matrix(D),Perm:Vector(Integer),Pivots:List(D))`pLUDecomposition(D)``764843
oLUInverse`1`n`(Matrix(D))->Record(Inv:Matrix(D),Pivots:List(D))`pLUDecomposition(D)``765083
olup_decomposition`2`n`(U32Matrix,Integer)->Record(lpart:U32Matrix,upart:U32Matrix,udinv:U32Vector,ppart:U32Vector)`pModularU32MatrixOperations``765169
oLUSolve`3`n`(Matrix(D),Vector(Integer),Vector(D))->Vector(D)`pLUDecomposition(D)``765554
olyndon?`1`n`(FreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``765755
olyndon`1`n`(FreeMonoid(VarSet))->%`dLyndonWord(VarSet)``765815
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``765916
oLyndonCoordinates`1`n`(%)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``766006
olyndonIfCan`1`n`(FreeMonoid(VarSet))->Union(%,"failed")`dLyndonWord(VarSet)``766090
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(%)`dLyndonWord(VarSet)``766156
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(%))`dLyndonWord(VarSet)``766277
om_call?`1`n`(%)->Boolean`dTeXTree``766408
om_call`2`n`(String,List(%))->%`dTeXTree``766499
om_inverse`4`n`(Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Integer)->Union(Polynomial(Integer),"failed")`dModularAlgebraicGcdTools3``766614
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`cJetBundleCategory``766726
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`xJetBundleCategory&(S)``766797
omainCharacterization`1`x`(%)->Union(RightOpenIntervalRootCharacterization(%,SparseUnivariatePolynomial(%)),"failed")`dRealClosure(TheField)``766868
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`x`(%)->List(%)`cRecursivePolynomialCategory(R,E,V)``766962
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`767235
omainDefiningPolynomial`1`x`(%)->Union(SparseUnivariatePolynomial(%),"failed")`cRealClosedField``767444
omainForm`1`x`(%)->Union(OutputForm,"failed")`cRealClosedField``767555
omainKernel`1`n`(S)->Union(K,"failed")`xExpressionSpace2&(S,K)``0
omainKernel`1`n`(S)->Union(K,"failed")`xFunctionSpace2&(S,R,K)``0
omainKernel`1`x`(%)->Union(K,"failed")`cExpressionSpace2(K)``767629
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``767797
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`x`(%)->List(%)`cRecursivePolynomialCategory(R,E,V)``767992
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`768252
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`768474
omainValue`1`x`(%)->Union(SparseUnivariatePolynomial(%),"failed")`cRealClosedField``768699
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`x`(VarSet,%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``768806
omainVariable`1`n`(%)->Union(VarSet,"failed")`cMaybeSkewPolynomialCategory(R,E,VarSet)``768928
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``769126
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`x`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``769283
omainVariableOf`1`n`(%)->Symbol`dCell(TheField)``769440
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`x`(%)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``769506
omake_imaginary_part_function`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``769650
omake_real_part_function`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``769927
omakeCell`1`n`(List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField))))->%`dCell(TheField)``770199
omakeCell`2`n`(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)),%)->%`dCell(TheField)``770277
omakeCos`2`x`(E,R)->%`dFourierSeries(R,E)``770401
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``770488
omakeDisjoint`2`n`(%,%)->%`dFiniteSimplicialComplex(VS)``770525
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``770651
omakeFEq`6`n`(BasicOperator,Symbol,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``770769
omakeFloatFunction`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``771076
omakeFloatFunction`3`x`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``771336
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:NonNegativeInteger))))->Factored(UP)`pGaloisGroupFactorizer(UP)``771654
omakeFR`2`x`(R,List(Record(flag:Union("nil","sqfr","irred","prime"),factor:R,exponent:NonNegativeInteger)))->%`dFactored(R)``771761
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->%`dGraphImage``771858
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->%`dGraphImage``772092
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->%`dGraphImage``772533
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->%`dListMonoidOps(S,E,un)``773033
omakeObject`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``773117
omakeObject`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``773385
omakeObject`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``773653
omakeObject`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``773960
omakeObject`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``774223
omakeObject`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``774508
omakeObject`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``774732
omakeObject`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``775069
omakeObject`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``775300
omakeObject`3`x`(ParametricComplexCurve(Ex),SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``775622
omakeObject`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``775714
omakeObject`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``775979
omakeObject`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``776254
omakeObject`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``776591
omakeObject`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``776993
omakeObject`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``777337
omakeObject`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``777738
omakeObject`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``778096
omakeObject`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``778469
omakeObject`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``778673
omakeObject`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``779082
omakeObject`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``779514
omakeop`2`n`(R,FreeGroup(BasicOperator))->%`dOperator(R)``0
omakeop`2`x`(R,FreeGroup(BasicOperator))->%`dModuleOperator(R,M)``780010
omakeRec`5`n`(BasicOperator,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``780063
omakeRecord`2`x`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``780550
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->%`dPatternMatchListResult(R,S,L)``780734
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->%`dInnerSparseUnivariatePowerSeries(Coef)``780817
omakeSin`2`x`(E,R)->%`dFourierSeries(R,E)``780936
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->%`dPlaneAlgebraicCurvePlot``781023
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`x`(%)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``781893
omakeSystem`1`n`(List(D))->%`dJetDifferentialEquation(JB,D)``782020
omakeTerm`2`n`(S,E)->%`dListMonoidOps(S,E,un)``782097
omakeUnit`0`n`()->%`dListMonoidOps(S,E,un)``782230
omakeVariable`1`n`(A)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`n`(S)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`x`(%)->(NonNegativeInteger)->%`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`782297
omakeVariable`1`x`(S)->(NonNegativeInteger)->%`cDifferentialPolynomialCategory(R,S,V,E)``782619
omakeVariable`2`x`(S,NonNegativeInteger)->%`cDifferentialVariableCategory(S)``782936
omakeViewport2D`1`n`(%)->%`dTwoDimensionalViewport``783076
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->%`dTwoDimensionalViewport``783294
omakeViewport3D`1`x`(%)->%`dThreeDimensionalViewport``783634
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),List(DrawOption))->%`dThreeDimensionalViewport``783856
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),String)->%`dThreeDimensionalViewport``784184
omakeYoungTableau`2`x`(List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``784423
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``784701
omantissa`1`n`(%)->Integer`dMachineFloat``784789
omantissa`1`x`(%)->Integer`cFloatingPointSystem``784848
omap_preserving`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``784913
omap!`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap!`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap!`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((S)->S,A)->A`xBinaryTreeCategory&(A,S)``0
omap!`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap!`2`n`((S)->S,A)->A`xUnaryRecursiveAggregate&(A,S)``0
omap!`2`x`((R)->R,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``785090
omap!`2`x`((S)->S,%)->%`cHomogeneousAggregate(S)`has(%,shallowlyMutable)`785178
omap`2`n`((A)->A,%)->%`cIndexedProductCategory(A,S)``785276
omap`2`n`((A)->B,MA)->MB`pTwoDimensionalArrayFunctions(A,RA,CA,MA,B,RB,CB,MB)``785424
omap`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Expression(CoefRing))->Expression(CoefRing),%)->%`dDeRhamComplex(CoefRing,listIndVar)``785562
omap`2`n`((Polynomial(Integer))->Polynomial(Integer),%)->Union(%,"failed")`dFakePolynomial``0
omap`2`n`((Polynomial(Integer))->Polynomial(Integer),Record(var:Symbol,coef:SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->%`dFakePolynomial``0
omap`2`n`((Polynomial(R))->PPR,PPR)->PPR`pPushVariables(R,E,OV,PPR)``785669
omap`2`n`((R)->R,%)->%`dAntiSymm(R,lVar)``785709
omap`2`n`((R)->R,%)->%`dXPolynomialRing(R,E)``785802
omap`2`n`((R)->R,S)->S`xAbelianMonoidRing&(S,R,E)``0
omap`2`n`((R)->R,S)->S`xComplexCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xOctonionCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xQuaternionCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`2`n`((R)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``785899
omap`2`n`((R1)->R2,A1)->A2`pFiniteAbelianMonoidRingFunctions2(E,R1,A1,R2,A2)``786032
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``786154
omap`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Record(numer:Polynomial(Integer),denom:Polynomial(Integer)))->Union(Polynomial(Integer),"failed"),%)->Union(SparseUnivariatePolynomial(Polynomial(Integer)),"failed")`dFakePolynomial``0
omap`2`n`((S)->S,A)->A`xBinaryTreeCategory&(A,S)``0
omap`2`n`((S)->S,A)->A`xListAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xQuotientFieldCategory&(A,S)``0
omap`2`n`((S)->S,K)->S`xExpressionSpace2&(S,K)``0
omap`2`n`((Vars1)->Vars2,PR1)->PR2`pMPolyCatFunctions3(Vars1,Vars2,E1,E2,R,PR1,PR2)``786248
omap`2`x`((%)->%,K)->%`cExpressionSpace2(K)``786286
omap`2`x`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``786381
omap`2`x`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``786521
omap`2`x`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`pInfiniteTupleFunctions2(A,B)``786639
omap`2`x`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``786721
omap`2`x`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``786893
omap`2`x`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``787078
omap`2`x`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``787222
omap`2`x`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``787395
omap`2`x`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``787500
omap`2`x`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``787701
omap`2`x`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``787841
omap`2`x`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``788000
omap`2`x`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``788038
omap`2`x`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``788076
omap`2`x`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``788114
omap`2`x`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``788221
omap`2`x`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``788328
omap`2`x`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``788448
omap`2`x`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``788488
omap`2`x`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``788587
omap`2`x`((E)->F,Union(Record(mainpart:E,limitedlogs:List(Record(coeff:E,logand:E))),"failed"))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pIntegrationResultFunctions2(E,F)``788626
omap`2`x`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``788666
omap`2`x`((R)->R,%)->%`cFullyEvalableOver(R)``788706
omap`2`x`((R)->R,%)->%`cMatrixOperationsCategory(R,Row,Col)``788797
omap`2`x`((R)->R,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``788898
omap`2`x`((R)->R,%)->%`cXFreeAlgebra(vl,R)``788994
omap`2`x`((R)->R,%)->%`dFactored(R)``789091
omap`2`x`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``789356
omap`2`x`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``789453
omap`2`x`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``789645
omap`2`x`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``789726
omap`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``789811
omap`2`x`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``790070
omap`2`x`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``790242
omap`2`x`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``790354
omap`2`x`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``790443
omap`2`x`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``790612
omap`2`x`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``790734
omap`2`x`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``790879
omap`2`x`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``790917
omap`2`x`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``791198
omap`2`x`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`791289
omap`2`x`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``791504
omap`2`x`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``791572
omap`2`x`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``791649
omap`2`x`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``791782
omap`2`x`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`791915
omap`2`x`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``792002
omap`2`x`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``792107
omap`2`x`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``792187
omap`2`x`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``792227
omap`2`x`((R1)->R2,M1)->M2`pFreeModuleCoefficientFunctions2(R1,R2,S,M1,M2)``792267
omap`2`x`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``792354
omap`2`x`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``792448
omap`2`x`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``792542
omap`2`x`((R1)->R2,Sequence(R1))->Sequence(R2)`pSequenceFunctions2(R1,R2)``792580
omap`2`x`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``792658
omap`2`x`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``792752
omap`2`x`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``792913
omap`2`x`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``793071
omap`2`x`((S)->S,%)->%`cHomogeneousAggregate(S)``793161
omap`2`x`((S)->S,%)->%`dEquation(S)``793326
omap`2`x`((S)->S,%)->%`dInfiniteTuple(S)``793421
omap`2`x`((S)->S,%)->L`cSegmentExpansionCategory(S,L)``793502
omap`2`x`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``793713
omap`3`n`((Entry,Entry)->Entry,S,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`3`n`((F)->S,Symbol,Kernel(F))->S`pExpressionSpaceFunctions1(F,S)``793840
omap`3`n`((R,R)->R,S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`3`n`((S,S)->S,A,A)->A`xListAggregate&(A,S)``0
omap`3`n`((S,S)->S,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`3`n`((Vars)->S,(R)->S,P)->S`pPolynomialCategoryLifting(E,Vars,R,P,S)``793975
omap`3`x`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``794270
omap`3`x`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``794311
omap`3`x`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``794352
omap`3`x`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``794767
omap`3`x`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``794808
omap`3`x`((Entry,Entry)->Entry,%,%)->%`cTableAggregate(Key,Entry)``795053
omap`3`x`((R,R)->R,%,%)->%`cRectangularMatrixCategory(m,n,R,Row,Col)``795296
omap`3`x`((R,R)->R,%,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``795434
omap`3`x`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``795542
omap`3`x`((S,S)->S,%,%)->%`cLinearAggregate(S)``795657
omap`4`n`((R,R)->R,S,S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`4`x`((R,R)->R,%,%,R)->%`cTwoDimensionalArrayCategory(R,Row,Col)``795859
omap`4`x`((R)->S,OrderedCompletion(R),OrderedCompletion(S),OrderedCompletion(S))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``796181
omap`5`n`(%,List(NonNegativeInteger),List(S),Integer,Integer)->%`cFiniteGraph(S)``796347
omap`5`n`(A,List(NonNegativeInteger),List(S),Integer,Integer)->A`xPoset&(A,S)``0
omapall`2`x`((R1)->R2,Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``796739
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``796832
omapContra`5`n`(%,List(NonNegativeInteger),List(S),Integer,Integer)->%`cFiniteGraph(S)``796940
omapContra`5`n`(A,List(NonNegativeInteger),List(S),Integer,Integer)->A`xPoset&(A,S)``0
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)`has(A,Field)`797064
omapDown!`3`x`(%,S,(S,S,S)->List(S))->%`dBalancedBinaryTree(S)``797148
omapDown!`3`x`(%,S,(S,S)->S)->%`dBalancedBinaryTree(S)``797726
omapExpon`2`n`((E)->E,%)->%`dListMonoidOps(S,E,un)``798156
omapExpon`2`n`((Integer)->Integer,%)->%`dFreeGroup(S)``798241
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,%)->%`dFreeMonoid(S)``798326
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`x`((E)->E,%)->%`cFiniteAbelianMonoidRing(R,E)``798411
omapGen`2`n`((S)->S,%)->%`dFreeGroup(S)``798538
omapGen`2`n`((S)->S,%)->%`dFreeMonoid(S)``798621
omapGen`2`n`((S)->S,%)->%`dListMonoidOps(S,E,un)``798704
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``798787
omapmult`2`n`(Stream(M),Stream(R))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)`has(M,RightModule(R))`798955
omapmult`2`n`(Stream(R),Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``799040
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``799125
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``799228
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``799331
omapUp!`2`x`(%,(S,S)->S)->S`dBalancedBinaryTree(S)``799491
omapUp!`3`x`(%,%,(S,S,S,S)->S)->%`dBalancedBinaryTree(S)``799812
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`x`(%)->%`cIntegerNumberSystem``800275
omatch?`3`x`(%,%,Character)->Boolean`cStringAggregate``800342
omatch`2`x`(List(A),List(B))->(A)->B`pListToMap(A,B)``800529
omatch`3`x`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``800931
omatch`3`x`(List(A),List(B),A)->B`pListToMap(A,B)``801302
omatch`3`x`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``801660
omatch`4`x`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``802032
omatch`4`x`(List(A),List(B),A,B)->B`pListToMap(A,B)``802418
omathieu11`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``802789
omathieu11`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``802877
omathieu12`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``803118
omathieu12`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``803206
omathieu22`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``803446
omathieu22`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``803534
omathieu23`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``803775
omathieu23`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``803863
omathieu24`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``804104
omathieu24`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``804192
omatrix`1`n`(%)->Matrix(R)`dIncidenceAlgebra(R,S)``804433
omatrix`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``804513
omatrix`1`n`(List(List(%)))->%`dOutputForm``804580
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`x`(%)->SquareMatrix(n,K)`dQuadraticForm(n,K)``804690
omatrix`1`x`(List(List(R)))->%`cMatrixCategory(R,Row,Col)``804774
omatrix`1`x`(List(List(R)))->%`cRectangularMatrixCategory(m,n,R,Row,Col)``804918
omatrix`2`n`(%,FreeMonoid(VAR))->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``805062
omatrix`2`n`(%,NonNegativeInteger)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``805169
omatrix`2`n`(String,String)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``805251
omatrix`3`n`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`3`x`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->%`cMatrixCategory(R,Row,Col)``805415
omatrixConcat3D`3`n`(Symbol,%,%)->%`dThreeDimensionalMatrix(R)``805529
omatrixDimensions`1`n`(%)->Vector(NonNegativeInteger)`dThreeDimensionalMatrix(R)``805627
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``805696
omax`0`x`()->%`cFloatingPointSystem`AND(not(has(%,arbitraryExponent)),not(has(%,arbitraryPrecision)))`805869
omax`0`x`()->%`dSingleInteger``805932
omax`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``805988
omax`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
omax`1`n`(A)->NonNegativeInteger`xPoset&(A,S)``0
omax`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omax`1`n`(A)->S`xHomogeneousAggregate&(A,S)``0
omax`1`x`(%)->S`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`806171
omax`1`x`(%)->S`cPriorityQueueAggregate(S)``806257
omax`2`n`((S,S)->Boolean,A)->S`xFiniteSetAggregate&(A,S)``0
omax`2`n`((S,S)->Boolean,A)->S`xHomogeneousAggregate&(A,S)``0
omax`2`n`(%,%)->%`cSPointCategory``806334
omax`2`n`(%,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``806609
omax`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xFiniteGraph&(A,S)``0
omax`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xPoset&(A,S)``0
omax`2`n`(S,S)->S`xOrderedSet&(S)``0
omax`2`x`((S,S)->Boolean,%)->S`cHomogeneousAggregate(S)`has(%,finiteAggregate)`806809
omax`2`x`(%,%)->%`cOrderedSet``806948
omaxColIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``807040
omaxColIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``807132
omaxdeg`1`n`(%)->E`dXPolynomialRing(R,E)``807222
omaxdeg`1`x`(%)->FreeMonoid(vl)`cXPolynomialsCat(vl,R)``807380
omaxDegree`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``807466
omaxDegree`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``807523
omaxDerivative`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``807868
omaxDerivative`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``807933
omaximumExponent`0`n`()->Integer`dMachineFloat``808100
omaximumExponent`1`n`(Integer)->Integer`dMachineFloat``808174
omaxIndex`1`n`(%)->NonNegativeInteger`dFiniteCubicalComplex(VS)``808258
omaxIndex`1`n`(%)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``808289
omaxIndex`1`n`(%)->NonNegativeInteger`dOrientedFacet``808320
omaxIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
omaxIndex`1`n`(A)->Integer`xLinearAggregate&(A,S)``0
omaxIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
omaxIndex`1`x`(%)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`808349
omaxint`0`n`()->PositiveInteger`dMachineInteger``808532
omaxint`1`n`(PositiveInteger)->PositiveInteger`dMachineInteger``808596
omaxLevel`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``808670
omaxLevel`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``808725
omaxMixedDegree`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``808925
omaxMixedDegree`1`x`(NonNegativeInteger)->%`dGuessOption``808992
omaxPoints`0`n`()->Integer`dPlot``809327
omaxPoints`0`x`()->Integer`pGraphicsDefaults``809400
omaxPoints`1`x`(Integer)->Integer`pGraphicsDefaults``809474
omaxPoints3D`0`n`()->Integer`dPlot3D``809545
omaxPower`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``809621
omaxPower`1`x`(Union(PositiveInteger,"arbitrary"))->%`dGuessOption``809676
omaxPrecedence`0`n`()->Integer`cFormatterCategory``809975
omaxPrecedence`0`n`()->Integer`xFormatterCategory&(S)``810043
omaxrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``810111
omaxrow`6`n`(List(S),List(List(List(S))),List(List(S)),List(List(List(S))),List(List(List(S))),List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``810193
omaxRowIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``810268
omaxRowIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``810357
omaxShift`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``810444
omaxShift`1`x`(Union(NonNegativeInteger,"arbitrary"))->%`dGuessOption``810499
omaxSubst`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``810638
omaxSubst`1`x`(Union(PositiveInteger,"arbitrary"))->%`dGuessOption``810693
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`x`(%)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``811033
omeatAxe`1`x`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`811222
omeatAxe`2`x`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`812227
omeatAxe`2`x`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`812609
omeatAxe`4`x`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`812785
omedialSet`1`x`(List(P))->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``813817
omedialSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(%,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``813920
omeet`1`n`(List(%))->%`dLatticeJoinOfMeets``814458
omeet`1`n`(List(%))->%`dLatticeMeetOfJoins``814496
omeet`3`n`(%,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cCoDcpo(S)``814534
omeetIfCan`2`n`(%,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``814693
omeetIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeetIfCan`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``814784
omeetIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeijerG`5`n`(List(F),List(F),List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`815037
omeijerG`5`x`(List(%),List(%),List(%),List(%),%)->%`cSpecialFunctionCategory`has(%,RetractableTo(Integer))`815103
omeixnerM`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``815169
omeixnerM`4`x`(%,%,%,%)->%`cSpecialFunctionCategory``815231
omeixnerP`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``815293
omeixnerP`4`x`(%,%,%,%)->%`cSpecialFunctionCategory``815372
omember?`2`n`(PositiveInteger,%)->Boolean`dSetOfMIntegersInOneToN(m,n)``815451
omember?`2`n`(R,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omember?`2`n`(Record(key:Key,entry:Entry),S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
omember?`2`n`(S,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
omember?`2`n`(S,A)->Boolean`xHomogeneousAggregate&(A,S)``0
omember?`2`n`(Vector(R),%)->Boolean`dVectorSpaceBasis(R)``815551
omember?`2`x`(Permutation(S),%)->Boolean`dPermutationGroup(S)``815648
omember?`2`x`(S,%)->Boolean`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`815766
omembers`1`n`(%)->List(P)`dFiniteMoebiusFunction(P)``815982
omembers`1`n`(%)->List(P)`dGeneralizedFiniteMoebiusFunction(P,R)``816045
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`x`(%)->List(S)`cHomogeneousAggregate(S)`has(%,finiteAggregate)`816108
omerge_exponents`5`n`(Integer,Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->List(List(Integer))`pInnerModularHermitePade``0
omerge!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge!`2`x`(%,%)->%`cExtensibleLinearAggregate(S)`has(S,OrderedSet)`816280
omerge!`2`x`(%,%)->%`cPriorityQueueAggregate(S)``816370
omerge!`3`n`((S,S)->Boolean,A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge!`3`x`((S,S)->Boolean,%,%)->%`cExtensibleLinearAggregate(S)``816497
omerge`1`n`(List(%))->%`dSubSpace(n,R)``816596
omerge`1`x`(List(%))->%`cThreeSpaceCategory(R)``816671
omerge`2`n`(%,%)->%`cFiniteGraph(S)``816859
omerge`2`n`(%,%)->%`dFiniteSimplicialComplex(VS)``817048
omerge`2`n`(%,%)->%`dSubSpace(n,R)``817096
omerge`2`n`(A,A)->A`xLinearAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xPoset&(A,S)``0
omerge`2`x`(%,%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`817186
omerge`2`x`(%,%)->%`cPriorityQueueAggregate(S)``817305
omerge`2`x`(%,%)->%`cThreeSpaceCategory(R)``817426
omerge`3`n`((S,S)->Boolean,A,A)->A`xLinearAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`3`x`((S,S)->Boolean,%,%)->%`cLinearAggregate(S)`has(%,finiteAggregate)`817602
omerge2`7`n`(Integer,List(Integer),List(Integer),Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->Record(offsetdata:Vector(Integer),expdata:SortedExponentVector)`pInnerModularHermitePade``0
omergeDifference`2`x`(List(S),List(S))->List(S)`pMergeThing(S)``818174
omergeFactors`2`x`(%,%)->%`dFactored(R)``818305
omesh?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``818602
omesh`1`x`(%)->List(List(Point(R)))`cThreeSpaceCategory(R)``818812
omesh`1`x`(List(List(Point(R))))->%`cThreeSpaceCategory(R)``819066
omesh`3`x`(List(List(Point(R))),Boolean,Boolean)->%`cThreeSpaceCategory(R)``819281
omesh`4`x`(%,List(List(List(R))),Boolean,Boolean)->%`cThreeSpaceCategory(R)``820001
omesh`4`x`(%,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->%`cThreeSpaceCategory(R)``820890
omesh`4`x`(%,List(List(Point(R))),Boolean,Boolean)->%`cThreeSpaceCategory(R)``821422
omesh`4`x`(%,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->%`cThreeSpaceCategory(R)``822173
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``822529
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``822586
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``822645
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``822699
omeshPar2Var`7`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``823026
omessage`1`n`(String)->%`dOutputForm``823089
omessagePrint`1`n`(String)->Void`dOutputForm``823173
omfactor`2`n`(PA,MD)->List(PA)`pModularFactorizationGeneral(PA,MMT,MD,PMD,MO)``823313
omfactor`2`n`(PrimitiveArray(K),Record(i_mod:Integer,deg:Integer))->List(PrimitiveArray(K))`pModularFactorizationK(K)``0
omfactor`2`n`(U32Vector,Integer)->List(U32Vector)`pModularFactorization``0
omiddle`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``823521
omidpoint`1`x`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``823592
omidpoints`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``823669
omightHaveRoots`2`x`(ThePolDom,%)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``823774
omin`0`x`()->%`cFloatingPointSystem`AND(not(has(%,arbitraryExponent)),not(has(%,arbitraryPrecision)))`823848
omin`0`x`()->%`dSingleInteger``823911
omin`1`n`(%)->NonNegativeInteger`cFiniteGraph(S)``823968
omin`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
omin`1`n`(A)->NonNegativeInteger`xPoset&(A,S)``0
omin`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omin`1`n`(A)->S`xHomogeneousAggregate&(A,S)``0
omin`1`x`(%)->S`cHomogeneousAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`824144
omin`1`x`(%)->S`cOrderedMultisetAggregate(S)``824230
omin`2`n`(%,%)->%`cSPointCategory``824314
omin`2`n`(%,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``824591
omin`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xFiniteGraph&(A,S)``0
omin`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xPoset&(A,S)``0
omin`2`n`(S,S)->S`xOrderedSet&(S)``0
omin`2`x`(%,%)->%`cOrderedSet``824784
ominColIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``824876
ominColIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``824969
omindeg`1`n`(%)->E`dXPolynomialRing(R,E)``825060
omindeg`1`x`(%)->FreeMonoid(vl)`cXFreeAlgebra(vl,R)``825218
omindegTerm`1`x`(%)->Record(k:FreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``825314
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,Dpol)``825391
ominimal?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``825429
ominimalMatrix`2`n`(Matrix(F),NonNegativeInteger)->Matrix(F)`pXDistributedPolynomialFunctions(VAR,F)``825497
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ominimalPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ominimalPolynomial`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``825623
ominimalPolynomial`1`x`(%)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`825741
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`x`(%,PositiveInteger)->SparseUnivariatePolynomial(%)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`825820
ominimalRepresentation`1`n`(XDistributedPolynomial(VAR,F))->Record(alpha:Matrix(F),mu:List(Matrix(F)),var:List(VAR),beta:Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``825978
ominimize`1`n`(%)->%`dFractionalIdeal(R,F,UP,A)``826184
ominimize`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``826260
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`x`(%)->E`cFiniteAbelianMonoidRing(R,E)``826435
ominimumDegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`x`(%,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``826558
ominimumDegree`2`x`(%,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``826714
ominimumExponent`0`n`()->Integer`dMachineFloat``826883
ominimumExponent`1`n`(Integer)->Integer`dMachineFloat``826957
ominIndex`1`n`(%)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``827041
ominIndex`1`n`(%)->NonNegativeInteger`dOrientedFacet``827072
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`x`(%)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`827101
ominordet`1`x`(%)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`827282
ominordet`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`827406
ominordet`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``827494
ominPoints`0`n`()->Integer`dPlot``827618
ominPoints`0`x`()->Integer`pGraphicsDefaults``827691
ominPoints`1`x`(Integer)->Integer`pGraphicsDefaults``827765
ominPoints3D`0`n`()->Integer`dPlot3D``827836
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``827912
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``827947
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`827982
ominPoly`1`x`(K)->SparseUnivariatePolynomial(%)`cExpressionSpace2(K)`has(%,Ring)`828052
ominPrecedence`0`n`()->Integer`cFormatterCategory``828121
ominPrecedence`0`n`()->Integer`xFormatterCategory&(S)``828189
ominrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``828257
ominRowIndex`1`x`(%)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``828339
ominRowIndex`1`x`(%)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``828429
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``828517
ominShift`1`n`(List(T))->List(T)`pListPackage(T)`has(T,OrderedSet)`828666
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``828767
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``828917
ominus`2`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer))->Record(mantissa:Integer,exponent:Integer)`pFloatingPointOperations``829114
ominus`3`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``829180
ominusInfinity`0`x`()->%`dOrderedCompletion(R)``829284
ominusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``829333
omirror`1`n`(%)->%`dFreeMagma(VarSet)``829386
omirror`1`n`(%)->%`dFreeMonoid(S)``829598
omirror`1`n`(%)->%`dLieExponentials(VarSet,R,Order)``829661
omirror`1`x`(%)->%`cFreeLieAlgebra(VarSet,R)``829743
omirror`1`x`(%)->%`cXFreeAlgebra(vl,R)``829839
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``829939
omk_erf`2`n`(F,F)->F`pElementaryRischDEX(R,F)``829974
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->%`dIntegrationResult(F)``830034
omkcomm`1`x`(Integer)->%`dCommutator``830187
omkcomm`2`x`(%,%)->%`dCommutator``830227
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``830270
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`830527
ommul`4`n`(U32Matrix,U32Matrix,Integer,Integer)->U32Matrix`pModularU32MatrixOperations``830646
omod_exp`3`n`(PA,Integer,PMD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``830816
omodifyPoint`3`n`(%,List(NonNegativeInteger),NonNegativeInteger)->%`dSubSpace(n,R)``830906
omodifyPoint`3`n`(%,List(NonNegativeInteger),Point(R))->%`dSubSpace(n,R)``831385
omodifyPoint`3`n`(%,NonNegativeInteger,Point(R))->%`dSubSpace(n,R)``831832
omodifyPointData`3`x`(%,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``832135
omodifyPointData`3`x`(%,NonNegativeInteger,Point(R))->%`cThreeSpaceCategory(R)``832392
omodpeval`4`n`(Polynomial(Integer),List(Symbol),List(Integer),Integer)->Integer`pPolynomialEvaluationUtilities``832622
omodpreduction`2`n`(Fraction(Polynomial(Integer)),Integer)->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``832771
omodpreduction`2`n`(MP,Integer)->Union(MP,"failed")`cModularEvaluationCategory(PT,MP)``832865
omodpreduction`2`n`(Polynomial(Integer),Integer)->Polynomial(Integer)`pPolynomialEvaluationUtilities``832953
omodTree`2`x`(R,List(R))->List(R)`pCRApackage(R)``833042
omodular_compose`5`n`(PA,MMT,PA,NonNegativeInteger,PMD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``833086
omodularFactor`2`n`(UP,Set(NonNegativeInteger))->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``833297
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``833836
omodularInvariantJ`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``833971
omodule`1`n`(FractionalIdeal(R,F,UP,A))->%`dFractionalIdealAsModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`834210
omodule`1`n`(Vector(A))->%`dFractionalIdealAsModule(R,F,UP,A,ibasis)``834285
omoduleSum`2`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pIntegralBasisTools(R,UP,F)``834383
omoduloP`1`x`(%)->Integer`cPAdicIntegerCategory(p)``835242
omodulus`0`n`()->Rep`dModMonic(R,Rep)``835303
omodulus`0`x`()->Integer`cPAdicIntegerCategory(p)``835352
omodulus`1`n`(%)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``835407
omodulus`1`n`(%)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``835446
omodulus`1`n`(%)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``835485
omoebius`1`n`(%)->IncidenceAlgebra(Integer,S)`cPoset(S)``835524
omoebius`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
omoebius`4`n`(F,F,F,F)->%`dMoebiusTransform(F)``835752
omoebiusBand`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``835826
omoebiusBand`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``835952
omoebiusFunction`1`n`(List(P))->%`dFiniteMoebiusFunction(P)``836084
omoebiusMatrix`1`n`(%)->Matrix(Integer)`dFiniteMoebiusFunction(P)``836168
omoebiusMatrix`1`n`(%)->Matrix(R)`dGeneralizedFiniteMoebiusFunction(P,R)``836226
omoebiusMu`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``836283
omoebiusMu`3`n`(%,P,P)->Integer`dFiniteMoebiusFunction(P)``836556
omoment`2`n`(%,NonNegativeInteger)->R`cDistributionCategory(R)``836637
omoment2booleanCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``836724
omoment2cumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``836847
omoment2freeCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``836965
omoment2jacobi`1`n`(Sequence(R))->Record(an:Stream(R),bn:Stream(R))`pMomentPackage(R)`has(R,Field)`837082
omoment2jacobi2`1`n`(Sequence(R))->Stream(Record(an:R,bn:R))`pMomentPackage(R)`has(R,Field)`837165
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``837269
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`837385
omoment2nthJacobi`1`n`(List(R))->Record(an:List(R),bn:List(R))`pMomentPackage(R)`has(R,Field)`837501
omoment2Stransform`1`n`(Sequence(R))->Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R))`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`837630
omoments`1`n`(%)->Sequence(R)`cDistributionCategory(R)``837758
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``837844
omonic?`1`x`(%)->Boolean`cRecursivePolynomialCategory(R,E,V)``837947
omonicCompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``838126
omonicDecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``838355
omonicDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariatePolynomialCategory(R)`has(R,Ring)`838497
omonicDivide`3`n`(S,S,VarSet)->Record(quotient:S,remainder:S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonicDivide`3`x`(%,%,VarSet)->Record(quotient:%,remainder:%)`cPolynomialCategory(R,E,VarSet)`has(R,Ring)`838682
omonicLeftDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`838927
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`839160
omonicModulo`2`n`(%,%)->%`dNewSparseUnivariatePolynomial(R)``839438
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``839601
omonicRightDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`839726
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`839961
omonicRightFactorIfCan`2`x`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``840241
omonologextint`3`n`(List(UP),(Matrix(F))->List(Vector(Fraction(Integer))),(List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer))))`pParametricTranscendentalIntegration(F,UP)``840501
omonom`2`n`(M,Integer)->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``840573
omonomial?`1`n`(%)->Boolean`cIndexedProductCategory(A,S)``840662
omonomial?`1`n`(%)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``840801
omonomial?`1`n`(%)->Boolean`dLaurentPolynomial(R,UP)``840868
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`x`(%)->Boolean`cXFreeAlgebra(vl,R)``840909
omonomial`2`n`(A,S)->%`cIndexedProductCategory(A,S)``840982
omonomial`2`n`(R,E)->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`2`n`(R,Expon)->%`cSolvableSkewPolynomialCategory(R,Expon)``841091
omonomial`2`n`(R,Integer)->%`dLaurentPolynomial(R,UP)``841187
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``841230
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`x`(K,List(PositiveInteger))->%`dCliffordAlgebra(n,K,bLin)``841273
omonomial`2`x`(R,FreeMonoid(vl))->%`cXFreeAlgebra(vl,R)``841378
omonomial`3`n`(%,List(VarSet),List(NonNegativeInteger))->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``841477
omonomial`3`n`(%,VarSet,NonNegativeInteger)->%`cMaybeSkewPolynomialCategory(R,E,VarSet)``841553
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,VarSet,NonNegativeInteger)->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`x`(%,List(Var),List(NonNegativeInteger))->%`cMultivariateTaylorSeriesCategory(Coef,Var)``841713
omonomial`3`x`(%,Var,NonNegativeInteger)->%`cMultivariateTaylorSeriesCategory(Coef,Var)``841817
omonomial1`1`n`(MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``841871
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``841948
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``842153
omonomials`1`n`(%)->List(%)`cMaybeSkewPolynomialCategory(R,E,VarSet)``842313
omonomials`1`n`(A)->List(A)`xFreeModuleCategory&(A,R,S)``0
omonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`x`(%)->List(%)`cFreeModuleCategory(R,S)``842491
omonotoneConvolution`2`n`(%,%)->%`cDistributionCategory(R)``842576
omonotoneCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``842692
omonotoneCumulant2momentPoly`1`n`(Sequence(R))->Sequence(SparseUnivariatePolynomial(R))`pMomentPackage(R)``842817
omonotoneCumulants`1`n`(%)->Sequence(R)`cDistributionCategory(R)`has(R,Algebra(Fraction(Integer)))`842982
omore?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
omore?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omore?`2`n`(S,S)->Boolean`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`843090
omore?`2`x`(%,NonNegativeInteger)->Boolean`cAggregate``843295
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``843372
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``843615
omorphism`1`n`((R,Integer)->R)->%`dAutomorphism(R)``843858
omorphism`1`n`((R)->R)->%`dAutomorphism(R)``843939
omorphism`2`n`((R)->R,(R)->R)->%`dAutomorphism(R)``844020
omotzkinPathArray`3`n`(Stream(R),Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``844143
omove`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``844317
omove`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``844557
omovedPoints`1`x`(%)->Set(S)`dPermutation(S)``844801
omovedPoints`1`x`(%)->Set(S)`dPermutationGroup(S)``844891
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``844969
oMPtoMPT`4`n`(MP,Symbol,List(Symbol),MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``845141
omr`1`n`(List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``845220
omrv_cmp`4`n`(Kernel(Expression(Integer)),Kernel(Expression(Integer)),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(sign:Integer,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``845393
omrv_limit`2`n`(Expression(Integer),Equation(OrderedCompletion(Expression(Integer))))->Union(OrderedCompletion(Expression(Integer)),Record(leftHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed"),rightHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed")),"failed")`pMrvLimitPackage``845433
omrv_limit`3`n`(Expression(Integer),Equation(Expression(Integer)),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``845545
omrv_limit`3`n`(Expression(Integer),Symbol,OrderedCompletion(Expression(Integer)))->Union(OrderedCompletion(Expression(Integer)),Record(leftHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed"),rightHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed")),"failed")`pMrvLimitPackage``845725
omrv_limit`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``845801
omrv_limit`4`n`(Expression(Integer),Symbol,Expression(Integer),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``845850
omrv_limit1`2`n`(Expression(Integer),Symbol)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``845943
omrv_normalize`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Expression(Integer)`pMrvLimitPackage``846005
omrv_rewrite`5`n`(Expression(Integer),List(Kernel(Expression(Integer))),List(Expression(Integer)),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(degree:OrderedExpression,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``846115
omrv_rewrite0`4`n`(Expression(Integer),List(Kernel(Expression(Integer))),List(Expression(Integer)),Expression(Integer))->Expression(Integer)`pMrvLimitPackage``846216
omrv_set`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(lk:List(Kernel(Expression(Integer))),lc:List(Expression(Integer))),"failed")`pMrvLimitPackage``846297
omrv_sign`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Integer,"failed")`pMrvLimitPackage``846344
oMu`0`n`()->Symbol`pMathematicalSymbols``846417
omu`0`n`()->Symbol`pMathematicalSymbols``846480
omul_by_binomial`3`n`(U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``846541
omul_by_binomial`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``846729
omul_by_scalar`3`n`(PrimitiveArray(K),Integer,K)->Void`dModularFactorizationTools3(K)``0
omul_by_scalar`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``846964
omul_mv`4`n`(U32Vector,U32Matrix,U32Vector,Integer)->Void`pModularU32MatrixOperations``847132
omul`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``847248
omulmod`3`x`(%,%,%)->%`cIntegerNumberSystem``847282
omulti_SPDE`5`n`(SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(F),List(SparseUnivariatePolynomial(F)),Integer,(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->Union(List(Record(ans:SparseUnivariatePolynomial(F),remainder:SparseUnivariatePolynomial(F))),Record(ans:List(SparseUnivariatePolynomial(F)),acoeff:SparseUnivariatePolynomial(F),eegen:SparseUnivariatePolynomial(F),bpar:SparseUnivariatePolynomial(F),lcpar:List(SparseUnivariatePolynomial(F)),dpar:Integer))`pRDEaux(F)``847357
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`x`(List(%),%)->Union(List(%),"failed")`cEuclideanDomain``847400
omultiEuclideanTree`2`x`(List(R),R)->List(R)`pCRApackage(R)``847611
omultifunctionGraph`1`n`(List(Permutation(S)))->%`dMultifunctionGraph(S)``847666
omultifunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:List(NonNegativeInteger),map:List(List(NonNegativeInteger)))))->%`dMultifunctionGraph(S)``847718
omultifunctionGraph`1`n`(List(S))->%`dMultifunctionGraph(S)``847866
omultifunctionGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dMultifunctionGraph(S)``848171
omultifunctionGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dMultifunctionGraph(S)``848340
omultiIndex`1`n`(%)->List(NonNegativeInteger)`cJetBundleCategory``848457
omultinomial`2`x`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``848541
omultiple?`1`n`(%)->Boolean`dPattern(R)``848654
omultiple`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``848799
omultiple`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``849103
omultiplicative?`2`n`(%,PositiveInteger)->Boolean`dDirichletRing(Coef)``849371
omultiplyALS`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``849486
omultiplyCoefficients`2`n`((Integer)->Coef,%)->%`dInnerSparseUnivariatePowerSeries(Coef)``849629
omultiplyCoefficients`2`x`((Integer)->Coef,%)->%`cUnivariateLaurentSeriesCategory(Coef)``849791
omultiplyCoefficients`2`x`((Integer)->Coef,%)->%`cUnivariateTaylorSeriesCategory(Coef)``850002
omultiplyColumn!`3`n`(%,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``850221
omultiplyColumn!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``850325
omultiplyExponents`2`x`(%,Fraction(Integer))->%`cUnivariatePuiseuxSeriesCategory(Coef)``850407
omultiplyExponents`2`x`(%,NonNegativeInteger)->%`cUnivariatePolynomialCategory(R)``850541
omultiplyExponents`2`x`(%,PositiveInteger)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``850710
omultiplyMIN`2`n`(%,%)->%`dFreeDivisionAlgebra(VAR,F)``850836
omultiplyRow!`3`n`(%,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``850922
omultiplyRow!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``851020
omultisect`3`n`(Integer,Integer,%)->%`dUnivariateFormalPowerSeries(Coef)``0
omultisect`3`n`(Integer,Integer,%)->%`dUnivariateTaylorSeries(Coef,var,cen)``851095
omultisect`3`n`(Integer,Integer,Stream(M))->Stream(M)`cStreamTaylorSeriesOperationsCategory(R,M)``851236
omultiset`0`x`()->%`dMultiset(S)``851352
omultiset`1`x`(List(S))->%`dMultiset(S)``851433
omultiset`1`x`(S)->%`dMultiset(S)``851509
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``851579
omultivariate`2`x`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``851680
omultivariate`2`x`(SparseUnivariatePolynomial(%),VarSet)->%`cPolynomialCategory(R,E,VarSet)``851781
omultivariate`2`x`(SparseUnivariatePolynomial(R),VarSet)->%`cPolynomialCategory(R,E,VarSet)``851914
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``852047
omultivector`1`x`(List(K))->%`dCliffordAlgebra(n,K,bLin)``852097
omultMonom`3`n`(R,E,%)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``852172
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``852219
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``852320
omutable?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``852459
omvar`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
omvar`1`n`(S)->V`xTriangularSetCategory&(S,R,E,V,P)``0
omvar`1`x`(%)->V`cRecursivePolynomialCategory(R,E,V)``852528
omvar`1`x`(%)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``852717
omy_digamma`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``852865
omy_root3`1`n`(F)->F`pRootUtilities(R,F)``852922
omy_sqrt`1`n`(F)->F`pRootUtilities(R,F)``852980
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``853037
onaiveBeckermannLabahn`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``853076
onaiveBeckermannLabahn`4`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``853601
onaiveBeckermannLabahn0`8`n`(Vector(U32Vector),Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->Void`pNaiveBeckermannLabahnModular``854126
onaiveBeckermannLabahn1`7`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->List(Any)`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahn1`7`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->List(Any)`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahnMultipoint`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``854153
onaiveBeckermannLabahnMultipoint`4`n`(Vector(U32Vector),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``854699
oname`1`n`(%)->Symbol`cJetBundleCategory``855245
oname`1`n`(%)->Symbol`cKernelCategory(S)``855315
oname`1`n`(%)->Symbol`dFunctionCalled(f)``855375
oname`1`n`(%)->Symbol`dRuleCalled(f)``855416
oname`1`x`(%)->%`dSymbol``855457
oname`1`x`(%)->Name`cFileCategory(Name,S)``855517
oname`1`x`(%)->String`cFileNameCategory``855587
oname`1`x`(%)->Symbol`dBasicOperator``855649
onamedBranch`2`n`(List(%),List(String))->%`dSceneNamedPoints(PT)``855703
onamedPoints`2`n`(List(PT),List(String))->%`dSceneNamedPoints(PT)``855783
onamedPoints`2`n`(List(Scene(PT)),List(String))->%`dSceneNamedPoints(PT)``855856
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`x`(%,%)->%`cBitAggregate``855928
onand`2`x`(%,%)->%`dBoolean``856025
onary?`1`x`(%)->Boolean`dBasicOperator``856105
onary`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``856169
onary`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``856433
onaryPlus`4`n`(String,String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``856697
onaryPlus`4`n`(String,String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``857326
oncDetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``857955
oncDetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``858119
oncDetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``858281
oncols`1`n`(%)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``858476
oncols`1`n`(%)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``858530
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`x`(%)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``858607
oncols`1`x`(%)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``858684
onegative?`1`n`(%)->Boolean`cAIntervalCategory(R)`has(R,OrderedAbelianMonoid)`858759
onegative?`1`n`(S)->Boolean`xAIntervalCategory&(S,R)``0
onegative?`1`n`(S)->Boolean`xOrderedAbelianGroup&(S)``0
onegative?`1`x`(%)->Boolean`cOrderedAbelianGroup``858903
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`x`(ThePols,%)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``858978
onelem`1`n`(%)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``859076
onew`0`n`()->%`dFormatter(F)``859131
onew`0`n`()->%`dHashState``859364
onew`0`n`()->%`dOperatorHandlers(HANDLER)``859409
onew`0`n`()->%`dPatternMatchListResult(R,S,L)``859469
onew`0`n`()->%`dPatternMatchResult(R,S)``859523
onew`0`n`()->%`dSubSpace(n,R)``859577
onew`0`n`()->%`dSubSpaceComponentProperty``859611
onew`0`n`()->%`dTexFormat``859645
onew`0`x`()->%`dSymbol``859812
onew`1`n`(F)->%`dFreeDivisionAlgebra(VAR,F)``859880
onew`1`x`(%)->%`dSymbol``859929
onew`2`n`(FreeMonoid(VAR),F)->%`dFreeDivisionAlgebra(VAR,F)``860006
onew`2`n`(LinearMultivariateMatrixPencil(F),List(FreeMonoid(VAR)))->%`dFreeDivisionAlgebra(VAR,F)``860083
onew`2`n`(List(C),Integer)->%`dSparseEchelonMatrix(C,D)``860218
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`x`(NonNegativeInteger,S)->%`cLinearAggregate(S)``860402
onew`3`x`(NonNegativeInteger,NonNegativeInteger,R)->%`cTwoDimensionalArrayCategory(R,Row,Col)``860502
onew`3`x`(String,String,String)->%`cFileNameCategory``860596
onewFortranTempVar`0`n`()->Symbol`pFortranCodeTools``860906
onewGreek`0`n`()->Symbol`pMathematicalSymbols``861010
onewline`0`x`()->%`dCharacter``861066
onewLine`0`x`()->String`pDisplayPackage``861122
onewReduc`1`n`(Integer)->Void`pFunctionSpaceReduce(R,F)``861182
onewSubProgram`1`n`(Symbol)->Void`dTheSymbolTable``861299
onewton`1`n`(List(F))->SparseUnivariatePolynomial(F)`pNewtonInterpolation(F)``861406
onewTypeLists`1`n`(%)->SExpression`dSymbolTable``861756
onext_sousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``861800
onext_subResultant2`4`x`(%,%,%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`861942
onext`1`x`(%)->%`cDoublyLinkedAggregate(S)``862154
onextColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``862350
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``862675
onextItem`1`n`(A)->Union(A,"failed")`xQuotientFieldCategory&(A,S)``0
onextItem`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
onextItem`1`n`(S)->Union(S,"failed")`xIntegerNumberSystem&(S)``0
onextItem`1`n`(S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
onextItem`1`x`(%)->Union(%,"failed")`cStepThrough``863017
onextLatticePermutation`3`x`(List(Integer),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``863102
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``863529
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``863856
onextPartition`3`x`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``864270
onextPartition`3`x`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``864662
onextPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``865054
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``865138
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``865552
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``865885
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``865975
onilFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``866998
onlde`1`n`(Stream(Stream(A)))->Stream(A)`dStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`867151
onlexSmaller?`2`n`(SparseUnivariatePolynomial(GF),SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``867434
onode?`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
onode?`2`x`(%,%)->Boolean`cRecursiveAggregate(S)`has(S,BasicType)`868025
onode`3`x`(%,S,%)->%`cBinaryTreeCategory(S)``868151
onodeFromArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``868273
onodeFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeFromNode`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``868398
onodeFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeOf?`2`n`(SplittingNode(V,C),%)->Boolean`dSplittingTree(V,C)``868518
onodes`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xRecursiveAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
onodes`1`x`(%)->List(%)`cRecursiveAggregate(S)``868613
onodeToArrow`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``868694
onodeToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeToNode`2`n`(%,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``868818
onodeToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onoKaratsuba`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``868937
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``869035
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``869281
ononcommutativeJordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``869382
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``869483
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``869523
ononSingularModel`1`x`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`869648
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`x`(%,%)->%`cBitAggregate``869773
onor`2`x`(%,%)->%`dBoolean``869868
onorm`1`n`(%)->F`dFractionalIdeal(R,F,UP,A)``869946
onorm`1`n`(%)->F`dFractionalIdealAsModule(R,F,UP,A,ibasis)``870008
onorm`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`1`n`(S)->R`xComplexCategory&(S,R)``0
onorm`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
onorm`1`n`(S)->R`xOctonionCategory&(S,R)``0
onorm`1`n`(S)->R`xQuaternionCategory&(S,R)``0
onorm`1`n`(S)->S`xRealNumberSystem&(S)``0
onorm`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``870071
onorm`1`x`(%)->%`cRealNumberSystem``870202
onorm`1`x`(%)->R`cComplexCategory(R)``870259
onorm`1`x`(%)->R`cFiniteRankAlgebra(R,UP)``870320
onorm`1`x`(%)->R`cOctonionCategory(R)``870435
onorm`1`x`(%)->R`cQuaternionCategory(R)``870543
onorm`1`x`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``870639
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``870755
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``870835
onorm`2`x`(%,Kernel(%))->%`dAlgebraicNumber``870930
onorm`2`x`(%,List(Kernel(%)))->%`dAlgebraicNumber``871065
onorm`2`x`(%,PositiveInteger)->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`871201
onorm`2`x`(SparseUnivariatePolynomial(%),Kernel(%))->SparseUnivariatePolynomial(%)`dAlgebraicNumber``871559
onorm`2`x`(SparseUnivariatePolynomial(%),List(Kernel(%)))->SparseUnivariatePolynomial(%)`dAlgebraicNumber``871688
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``871818
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``871981
onormal?`1`x`(%)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`872079
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``872356
onormal01`0`n`()->Float`pRandomFloatDistributions``872397
onormalALS`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``872436
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``872512
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``872645
onormalElement`0`x`()->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`872745
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``873172
onormalForm`2`x`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,Dpol)`has(Dom,Field)`873282
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``873456
onormalise`1`x`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``873696
onormalisePoint`1`n`(%)->%`dSConformal(n)``873859
onormalize!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``873950
onormalize`1`x`(%)->%`dFloat``874201
onormalize`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``874270
onormalize`1`x`(List(F))->List(F)`pElementaryFunctionStructurePackage(R,F)``874390
onormalize`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``874446
onormalize`2`x`(List(F),List(Symbol))->List(F)`pElementaryFunctionStructurePackage(R,F)``874513
onormalize`2`x`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``874848
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`x`(Vector(%))->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``874926
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``874998
onormalized?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``875171
onormalized?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``875325
onormalized?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``875446
onormalizedAssociate`2`x`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``875627
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``875876
onormalizedDivide`2`x`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`876075
onormalizeDIAG!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``876274
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``876408
onormalizePLS!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``876515
onormalizeRHS!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``876706
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``876854
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``876895
onormInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``876938
oNot`1`n`(%)->%`dIndexedBits(mn)``877033
onot`1`n`(%)->%`dOutputForm``877108
oNOT`1`n`(%)->%`dSwitch``877164
onot`1`n`(S)->S`xBitAggregate&(S)``0
oNOT`1`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``877252
onot`1`x`(%)->%`cBitAggregate``877340
onot`1`x`(%)->%`dBoolean``877418
onot`1`x`(%)->%`dSingleInteger``877472
oNot`1`x`(%)->%`dSingleInteger``877566
onotelem`1`n`(%)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``877660
onothing`0`n`()->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``877743
onothing`0`n`()->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``877897
onpcoef`3`n`(SparseUnivariatePolynomial(P),List(BP),List(P))->Record(deter:List(SparseUnivariatePolynomial(P)),dterm:List(List(Record(expt:NonNegativeInteger,pcoef:P))),nfacts:List(BP),nlead:List(P))`pNPCoef(BP,E,OV,R,P)``878051
onrows`1`n`(%)->NonNegativeInteger`dLinearMultivariateMatrixPencil(R)``878616
onrows`1`n`(%)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``878667
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`x`(%)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``878741
onrows`1`x`(%)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``878815
onsqfree`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(unitPart:P,suPart:List(Record(factor:SparseUnivariatePolynomial(P),exponent:NonNegativeInteger)))`pMultivariateSquareFree(E,OV,R,P)``878887
onthExpon`2`n`(%,Integer)->E`dListMonoidOps(S,E,un)``878925
onthExpon`2`n`(%,Integer)->Integer`dFreeGroup(S)``879009
onthExpon`2`n`(%,Integer)->NonNegativeInteger`dFreeMonoid(S)``879093
onthFactor`2`n`(%,Integer)->S`dFreeGroup(S)``879177
onthFactor`2`n`(%,Integer)->S`dFreeMonoid(S)``879260
onthFactor`2`n`(%,Integer)->S`dListMonoidOps(S,E,un)``879343
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``879426
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``879483
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`x`(%,Integer)->%`cRadicalCategory``879776
onthRoot`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``879845
onthRootIfCan`2`x`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``880235
oNu`0`n`()->Symbol`pMathematicalSymbols``880345
onu`0`n`()->Symbol`pMathematicalSymbols``880408
oNul`1`n`(NonNegativeInteger)->%`dExtAlgBasis``880469
onull?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``880565
onullary?`1`x`(%)->Boolean`dBasicOperator``880646
onullary`1`x`(A)->()->A`pMappingPackage1(A)``880704
onullBoundary`0`n`()->%`dSBoundary(PT)``880788
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``880909
onullity`1`x`(%)->NonNegativeInteger`cMatrixOperationsCategory(R,Row,Col)`has(R,IntegralDomain)`881042
onullity`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`881175
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,shallowlyMutable)`881308
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,shallowlyMutable)`881394
onullSpace`1`n`(Matrix(R))->%`dVectorSpaceBasis(R)``881480
onullSpace`1`x`(%)->List(Col)`cMatrixOperationsCategory(R,Row,Col)`has(R,IntegralDomain)`881705
onullSpace`1`x`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`881871
onullSpaceOverConstants`2`n`(Matrix(F),List((F)->F))->List(Vector(F))`pConstantLinearDependence(R,F)``881957
onumber?`1`x`(%)->Boolean`dExpression(R)`has(R,IntegralDomain)`882099
onumberOfChildren`1`n`(%)->NonNegativeInteger`dSubSpace(n,R)``882154
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``882202
onumberOfComponents`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``882294
onumberOfComponents`1`x`(%)->NonNegativeInteger`cThreeSpaceCategory(R)``882386
onumberOfComposites`1`x`(%)->NonNegativeInteger`cThreeSpaceCategory(R)``882571
onumberOfComputedEntries`1`x`(%)->NonNegativeInteger`cLazyStreamAggregate(S)``883017
onumberOfCycles`1`x`(%)->NonNegativeInteger`dPermutation(S)``883196
onumberOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``883298
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``883491
onumberOfFactors`1`x`(%)->NonNegativeInteger`dFactored(R)``883756
onumberOfFractionalTerms`1`x`(%)->Integer`dPartialFraction(R)``883832
onumberOfHues`0`x`()->PositiveInteger`dColor``883973
onumberOfImproperPartitions`2`x`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``884054
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``884502
onumberOfMonomials`1`x`(%)->NonNegativeInteger`cIndexedDirectProductCategory(A,S)``884675
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``884755
onumberOfPrimes`1`n`(OutputForm)->Integer`cFormatterCategory``884901
onumberOfPrimes`1`n`(OutputForm)->Integer`xFormatterCategory&(S)``885254
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``885607
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumDepVar`0`n`()->PositiveInteger`cJetBundleCategory``885759
onumDepVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumDepVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
onumer`1`n`(%)->A`dLocalAlgebra(A,R)``885826
onumer`1`n`(%)->M`dLocalize(M,R)``885883
onumer`1`n`(%)->Vector(A)`dFractionalIdeal(R,F,UP,A)``885940
onumer`1`x`(%)->S`cQuotientFieldCategory(S)``886016
onumer`1`x`(%)->SparseMultivariatePolynomial(Integer,Kernel(%))`dAlgebraicNumber``886087
onumer`1`x`(%)->SparseMultivariatePolynomial(R,K)`cFunctionSpace2(R,K)`has(R,Ring)`886197
onumerator`1`n`(%)->%`cJetBundleFunctionCategory(JB)``886434
onumerator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
onumerator`1`n`(S)->S`xFunctionSpace2&(S,R,K)``0
onumerator`1`x`(%)->%`cFunctionSpace2(R,K)`has(R,Ring)`886495
onumerator`1`x`(%)->%`cQuotientFieldCategory(S)``886573
onumerators`1`x`(%)->Stream(R)`dContinuedFraction(R)``886659
onumeric`1`x`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`886845
onumeric`1`x`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`886912
onumeric`1`x`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`886979
onumeric`1`x`(S)->Float`pNumeric(S)``887046
onumeric`2`x`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`887113
onumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`887213
onumeric`2`x`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`887313
onumeric`2`x`(S,PositiveInteger)->Float`pNumeric(S)``887413
onumericIfCan`1`x`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`887513
onumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`887628
onumericIfCan`1`x`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`887743
onumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`887858
onumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`888006
onumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`888154
onumerJP`1`n`(%)->SparseMultivariatePolynomial(Expression(Integer),JB)`dJetBundleExpression(JB)``888302
onumFunEvals`0`n`()->Integer`dPlot``888373
onumFunEvals3D`0`n`()->Integer`dPlot3D``888439
onumIndVar`0`n`()->PositiveInteger`cJetBundleCategory``888508
onumIndVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumIndVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
oobj`1`x`(%)->None`dAny``888577
oobjectOf`1`x`(%)->OutputForm`dAny``888729
oobjects`1`x`(%)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``888841
oobjectToIndex`2`n`(%,S)->NonNegativeInteger`cPoset(S)``889064
oobjectToIndex`2`n`(A,S)->NonNegativeInteger`xPoset&(A,S)``0
ooblateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``889129
oocton`2`x`(Quaternion(R),Quaternion(R))->%`dOctonion(R)``889468
oocton`8`x`(R,R,R,R,R,R,R,R)->%`cOctonionCategory(R)``889577
oodd_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``889673
oodd_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``889781
oodd?`1`n`(S)->Boolean`xExpressionSpace2&(S,K)``0
oodd?`1`x`(%)->Boolean`cExpressionSpace2(K)`has(%,RetractableTo(Integer))`890006
oodd?`1`x`(%)->Boolean`cIntegerNumberSystem``890073
oodd?`1`x`(%)->Boolean`dPermutation(S)``890147
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``890280
ooddintegers`1`n`(Integer)->Stream(Integer)`cStreamTaylorSeriesOperationsCategory(R,M)``890425
ooddlambert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
ooddlambert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``890489
ooddlambert`1`n`(Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)``890862
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``891186
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``891334
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``891422
oOMbindTCP`2`x`(%,SingleInteger)->Boolean`dOpenMathConnection``891543
oOMclose`1`x`(%)->Void`dOpenMathDevice``891567
oOMcloseConn`1`x`(%)->Void`dOpenMathConnection``891643
oOMconnectTCP`3`x`(%,String,SingleInteger)->Boolean`dOpenMathConnection``891669
oOMconnInDevice`1`x`(%)->OpenMathDevice`dOpenMathConnection``891696
oOMconnOutDevice`1`x`(%)->OpenMathDevice`dOpenMathConnection``891728
oomega`0`n`()->%`dSmallOrdinal``891761
oOmega`0`n`()->Symbol`pMathematicalSymbols``891813
oomega`0`n`()->Symbol`pMathematicalSymbols``891882
oomegapower`1`n`(%)->%`dSmallOrdinal``891949
oOMencodingBinary`0`x`()->%`dOpenMathEncoding``891993
oOMencodingSGML`0`x`()->%`dOpenMathEncoding``892076
oOMencodingUnknown`0`x`()->%`dOpenMathEncoding``892166
oOMencodingXML`0`x`()->%`dOpenMathEncoding``892360
oomError`2`x`(OpenMathErrorKind,List(Symbol))->%`dOpenMathError``892444
oOMgetApp`1`x`(%)->Void`dOpenMathDevice``892510
oOMgetAtp`1`x`(%)->Void`dOpenMathDevice``892587
oOMgetAttr`1`x`(%)->Void`dOpenMathDevice``892667
oOMgetBind`1`x`(%)->Void`dOpenMathDevice``892743
oOMgetBVar`1`x`(%)->Void`dOpenMathDevice``892816
oOMgetEndApp`1`x`(%)->Void`dOpenMathDevice``892902
oOMgetEndAtp`1`x`(%)->Void`dOpenMathDevice``892981
oOMgetEndAttr`1`x`(%)->Void`dOpenMathDevice``893063
oOMgetEndBind`1`x`(%)->Void`dOpenMathDevice``893141
oOMgetEndBVar`1`x`(%)->Void`dOpenMathDevice``893216
oOMgetEndError`1`x`(%)->Void`dOpenMathDevice``893304
oOMgetEndObject`1`x`(%)->Void`dOpenMathDevice``893379
oOMgetError`1`x`(%)->Void`dOpenMathDevice``893456
oOMgetFloat`1`x`(%)->DoubleFloat`dOpenMathDevice``893529
oOMgetInteger`1`x`(%)->Integer`dOpenMathDevice``893590
oOMgetObject`1`x`(%)->Void`dOpenMathDevice``893656
oOMgetString`1`x`(%)->String`dOpenMathDevice``893731
oOMgetSymbol`1`x`(%)->Record(cd:String,name:String)`dOpenMathDevice``893794
oOMgetType`1`x`(%)->Symbol`dOpenMathDevice``893857
oOMgetVariable`1`x`(%)->Symbol`dOpenMathDevice``893937
oOmicron`0`n`()->Symbol`pMathematicalSymbols``894004
oomicron`0`n`()->Symbol`pMathematicalSymbols``894077
oOMlistCDs`0`x`()->List(String)`pOpenMathPackage``894148
oOMlistSymbols`1`x`(String)->List(String)`pOpenMathPackage``894220
oOMmakeConn`1`x`(SingleInteger)->%`dOpenMathConnection``894288
oOMopenFile`3`x`(String,String,OpenMathEncoding)->%`dOpenMathDevice``894313
oOMopenString`2`x`(String,OpenMathEncoding)->%`dOpenMathDevice``894551
oOMParseError?`1`x`(%)->Boolean`dOpenMathErrorKind``894677
oOMputApp`1`x`(%)->Void`dOpenMathDevice``894761
oOMputAtp`1`x`(%)->Void`dOpenMathDevice``894837
oOMputAttr`1`x`(%)->Void`dOpenMathDevice``894916
oOMputBind`1`x`(%)->Void`dOpenMathDevice``894991
oOMputBVar`1`x`(%)->Void`dOpenMathDevice``895063
oOMputEndApp`1`x`(%)->Void`dOpenMathDevice``895148
oOMputEndAtp`1`x`(%)->Void`dOpenMathDevice``895226
oOMputEndAttr`1`x`(%)->Void`dOpenMathDevice``895307
oOMputEndBind`1`x`(%)->Void`dOpenMathDevice``895384
oOMputEndBVar`1`x`(%)->Void`dOpenMathDevice``895458
oOMputEndError`1`x`(%)->Void`dOpenMathDevice``895545
oOMputEndObject`1`x`(%)->Void`dOpenMathDevice``895619
oOMputError`1`x`(%)->Void`dOpenMathDevice``895695
oOMputFloat`2`x`(%,DoubleFloat)->Void`dOpenMathDevice``895767
oOMputInteger`2`x`(%,Integer)->Void`dOpenMathDevice``895841
oOMputObject`1`x`(%)->Void`dOpenMathDevice``895919
oOMputString`2`x`(%,String)->Void`dOpenMathDevice``895993
oOMputSymbol`3`x`(%,String,String)->Void`dOpenMathDevice``896069
oOMputVariable`2`x`(%,Symbol)->Void`dOpenMathDevice``896174
oOMread`1`x`(OpenMathDevice)->Any`pOpenMathPackage``896254
oOMReadError?`1`x`(%)->Boolean`dOpenMathErrorKind``896346
oOMreadFile`1`x`(String)->Any`pOpenMathPackage``896426
oOMreadStr`1`x`(String)->Any`pOpenMathPackage``896518
oOMreceive`1`x`(OpenMathConnection)->Any`pOpenMathServerPackage``896609
oOMsend`2`x`(OpenMathConnection,Any)->Void`pOpenMathServerPackage``896729
oOMserve`2`x`(SingleInteger,SingleInteger)->Void`pOpenMathServerPackage``896809
oOMsetEncoding`2`x`(%,OpenMathEncoding)->Void`dOpenMathDevice``896987
oOMsupportsCD?`1`x`(String)->Boolean`pOpenMathPackage``897125
oOMsupportsSymbol?`2`x`(String,String)->Boolean`pOpenMathPackage``897231
oOMunhandledSymbol`2`x`(String,String)->Exit`pOpenMathPackage``897375
oOMUnknownCD?`1`x`(%)->Boolean`dOpenMathErrorKind``897540
oOMUnknownSymbol?`1`x`(%)->Boolean`dOpenMathErrorKind``897633
oOMwrite`1`n`(S)->String`xOpenMath&(S)``0
oOMwrite`1`x`(%)->String`cOpenMath``897727
oOMwrite`1`x`(Expression(R))->String`pExpressionToOpenMath(R)``0
oOMwrite`2`n`(OpenMathDevice,S)->Void`xOpenMath&(S)``0
oOMwrite`2`n`(S,Boolean)->String`xOpenMath&(S)``0
oOMwrite`2`x`(%,Boolean)->String`cOpenMath``897836
oOMwrite`2`x`(Expression(R),Boolean)->String`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,%)->Void`cOpenMath``898061
oOMwrite`2`x`(OpenMathDevice,Expression(R))->Void`pExpressionToOpenMath(R)``0
oOMwrite`3`n`(OpenMathDevice,S,Boolean)->Void`xOpenMath&(S)``0
oOMwrite`3`x`(OpenMathDevice,%,Boolean)->Void`cOpenMath``898193
oOMwrite`3`x`(OpenMathDevice,Expression(R),Boolean)->Void`pExpressionToOpenMath(R)``0
oone?`1`n`(%)->Boolean`cJetBundleCategory``898418
oone?`1`n`(S)->Boolean`xAIntervalCategory&(S,R)``0
oone?`1`n`(S)->Boolean`xJetBundleCategory&(S)``0
oone?`1`n`(S)->Boolean`xMagmaWithUnit&(S)``0
oone?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
oone?`1`x`(%)->Boolean`cMagmaWithUnit``898510
oone?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``898570
oone`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``898674
oone`1`x`(Boolean)->%`dGuessOption``898762
ooneDimensionalArray`1`x`(List(S))->%`dOneDimensionalArray(S)``898887
ooneDimensionalArray`2`x`(NonNegativeInteger,S)->%`dOneDimensionalArray(S)``898974
ooneSkeleton`1`n`(%)->DirectedGraph(NonNegativeInteger)`dFiniteSimplicialComplex(VS)``899072
ooneSkeleton`1`n`(%)->UndirectedGraph(NonNegativeInteger)`dDeltaComplex(VS)``899110
oopen?`1`n`(%)->Boolean`dTubePlot(Curve)``899148
oopen`1`x`(Name)->%`cFileCategory(Name,S)``899223
oopen`2`n`(FileName,String)->%`dBasicFile``899287
oopen`2`n`(FileName,String)->%`dBasicKeyedAccessFile``899322
oopen`2`x`(Name,String)->%`cFileCategory(Name,S)``899370
ooperation`1`n`(%)->Union(Null:"null",Assignment:"assignment",Conditional:"conditional",Return:"return",Block:"block",Comment:"comment",Call:"call",For:"for",While:"while",Repeat:"repeat",Goto:"goto",Continue:"continue",ArrayAssignment:"arrayAssignment",Save:"save",Stop:"stop",Common:"common",Print:"print")`dFortranCode``899485
ooperations`2`n`(SExpression,Boolean)->List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))`pBrowserInformation``899571
ooperator`1`n`(%)->BasicOperator`cKernelCategory(S)``899652
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``899717
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``899945
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``900115
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``900205
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``900378
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace2&(S,K)``900457
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace2&(S,R,K)``0
ooperator`1`n`(OutputForm)->OutputForm`pOutputFormTools``900569
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``900683
ooperator`1`x`(BasicOperator)->BasicOperator`cExpressionSpace2(K)``900857
ooperator`1`x`(Symbol)->%`dBasicOperator``900969
ooperator`2`x`(Symbol,NonNegativeInteger)->%`dBasicOperator``901049
ooperatorHandlers`0`n`()->OperatorHandlers((Integer,List(OutputForm))->OutputBox)`cFormatterCategory``901124
ooperatorHandlers`0`n`()->OperatorHandlers((Integer,List(OutputForm))->OutputBox)`dFormatter(F)``901247
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace2&(S,K)``0
ooperators`1`x`(%)->List(BasicOperator)`cExpressionSpace2(K)``901370
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
oopeval`2`x`(BasicOperator,M)->M`dModuleOperator(R,M)``901485
oopposite?`2`n`(S,S)->Boolean`xAbelianGroup&(S)``0
oopposite?`2`n`(S,S)->Boolean`xAbelianMonoid&(S)``0
oopposite?`2`n`(S,S)->Boolean`xAIntervalCategory&(S,R)``0
oopposite?`2`x`(%,%)->Boolean`cAbelianMonoid``901538
oopposite`1`n`(%)->%`cPoset(S)``901622
oopposite`1`n`(A)->A`xPoset&(A,S)``0
oops_from_exports`0`n`()->List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))`pBrowserInformation``901730
oops_from_libdb`0`n`()->List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))`pBrowserInformation``901836
ooption?`2`x`(List(%),Symbol)->Boolean`dDrawOption``902020
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``902219
ooption`2`x`(List(%),Symbol)->Union(Any,"failed")`dDrawOption``902398
ooption`2`x`(List(%),Symbol)->Union(Any,"failed")`dGuessOption``902541
ooptional?`1`n`(%)->Boolean`dPattern(R)``902606
ooptional`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``902710
ooptional`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``902882
ooptions`1`n`(%)->List(DrawOption)`dTwoDimensionalViewport``903018
ooptions`1`x`(%)->List(DrawOption)`dThreeDimensionalViewport``903242
ooptions`2`n`(%,List(DrawOption))->%`dTwoDimensionalViewport``903467
ooptions`2`x`(%,List(DrawOption))->%`dThreeDimensionalViewport``903754
ooptpair`1`n`(List(%))->Union(List(%),"failed")`dPattern(R)``904030
oopType`1`n`(%)->Symbol`dILogic``904142
oopType`1`n`(%)->Symbol`dLatticeJoinOfMeets``904328
oopType`1`n`(%)->Symbol`dLatticeMeetOfJoins``904514
oOr`2`n`(%,%)->%`dIndexedBits(mn)``904700
oor`2`n`(%,%)->%`dOutputForm``904789
oOR`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:%))->%`dSwitch``904845
oor`2`x`(%,%)->%`cBitAggregate``904937
oor`2`x`(%,%)->%`dBoolean``905028
oOr`2`x`(%,%)->%`dSingleInteger``905122
oorbit`2`x`(%,List(S))->Set(List(S))`dPermutationGroup(S)``905231
oorbit`2`x`(%,S)->Set(S)`cPermutationCategory(S)``905437
oorbit`2`x`(%,S)->Set(S)`dPermutationGroup(S)``905622
oorbit`2`x`(%,Set(S))->Set(Set(S))`dPermutationGroup(S)``905809
oorbits`1`x`(%)->Set(Set(S))`dPermutationGroup(S)``905913
oord`1`x`(%)->Integer`dCharacter``906046
oorder`1`n`(%)->Integer`cFiniteGroup``906187
oorder`1`n`(%)->Integer`dLaurentPolynomial(R,UP)``906258
oorder`1`n`(%)->NonNegativeInteger`cFacetCategory``906295
oorder`1`n`(%)->NonNegativeInteger`cJetBundleCategory``906321
oorder`1`n`(%)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``906415
oorder`1`n`(%)->NonNegativeInteger`dInnerTaylorSeries(Coef)``906514
oorder`1`n`(%)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``906668
oorder`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pFindOrderFinite(F,UP,UPUP,R)``906749
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``906786
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``906901
oorder`1`n`(S)->Integer`xFiniteGroup&(S)``0
oorder`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oorder`1`n`(S)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oorder`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteFieldCategory&(S)``0
oorder`1`n`(S)->PositiveInteger`xFiniteFieldCategory&(S)``0
oorder`1`x`(%)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``906938
oorder`1`x`(%)->Integer`cFloatingPointSystem``907094
oorder`1`x`(%)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``907214
oorder`1`x`(%)->NonNegativeInteger`cDifferentialVariableCategory(S)``907416
oorder`1`x`(%)->NonNegativeInteger`cPAdicIntegerCategory(p)``907533
oorder`1`x`(%)->NonNegativeInteger`dPermutation(S)``907629
oorder`1`x`(%)->NonNegativeInteger`dPermutationGroup(S)``907716
oorder`1`x`(%)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``907781
oorder`1`x`(%)->PositiveInteger`cFiniteFieldCategory``907904
oorder`2`n`(%,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``908040
oorder`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`2`n`(S,S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oorder`2`x`(%,%)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`908125
oorder`2`x`(%,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``908290
oorder`2`x`(%,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``908405
oorder`2`x`(%,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``908529
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``908682
oorder`3`x`(%,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``908725
oorderDim`3`n`(List(%),SparseEchelonMatrix(JB,%),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``908790
oorderDim`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oordinalAdd`2`n`(%,%)->%`dSmallOrdinal``909005
oordinalMul`2`n`(%,%)->%`dSmallOrdinal``909093
oordinalPower`2`n`(%,%)->%`dSmallOrdinal``909185
oorientedFacet`2`n`(Integer,List(NonNegativeInteger))->%`dOrientedFacet``909347
oorientedFacet`2`n`(Integer,OrientedFacet)->%`dOrientedFacet``909526
oorientedFacetIfCan`1`n`(List(%))->Union(%,"failed")`dOrientedFacet``909571
oorientedFacetSigned`1`n`(List(Integer))->%`dOrientedFacet``909846
oorientedFacetUnsigned`1`n`(List(Integer))->%`dOrientedFacet``909979
oorthogonalConvolution`2`n`(%,%)->%`cDistributionCategory(R)``910065
oorthogonalPolynomials`1`n`(%)->Stream(SparseUnivariatePolynomial(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`910185
oorthogonalPolynomials`1`n`(%)->Stream(SparseUnivariatePolynomial(R))`cDistributionCategory(R)`has(R,Field)`910270
oorthonormalBasis`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``910355
ooutDegree`2`n`(%,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``910520
ooutDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ooutDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`x`(%,%)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`910621
ooutlineRender`2`x`(%,String)->Void`dThreeDimensionalViewport``910763
ooutput`1`x`(OutputForm)->Void`pOutputPackage``911156
ooutput`1`x`(String)->Void`pOutputPackage``911300
ooutput`2`x`(String,OutputForm)->Void`pOutputPackage``911439
ooutputArgs`4`x`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``911611
ooutputAsFortran`1`n`(%)->Void`cFortranProgramCategory``911709
ooutputAsFortran`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``911795
ooutputAsFortran`1`x`(OutputForm)->Void`pSpecialOutputPackage``911963
ooutputAsFortran`2`x`(String,OutputForm)->Void`pSpecialOutputPackage``912037
ooutputAsMathML`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``912185
ooutputAsMathML`1`x`(OutputForm)->Void`pSpecialOutputPackage``912353
ooutputAsTex`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``912487
ooutputAsTex`1`x`(OutputForm)->Void`pSpecialOutputPackage``912646
ooutputFixed`0`x`()->Void`dFloat``912768
ooutputFixed`1`x`(NonNegativeInteger)->Void`dFloat``912883
ooutputFloating`0`x`()->Void`dFloat``913014
ooutputFloating`1`x`(NonNegativeInteger)->Void`dFloat``913195
ooutputForm`1`n`(Integer)->%`dOutputForm``913350
ooutputForm`1`n`(String)->%`dOutputForm``913409
ooutputForm`1`n`(Symbol)->%`dOutputForm``913466
ooutputForm`2`n`(%,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``913523
ooutputForm`2`n`(%,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``913706
ooutputForm`4`n`(%,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``913826
ooutputGeneral`0`x`()->Void`dFloat``914386
ooutputGeneral`1`x`(NonNegativeInteger)->Void`dFloat``914577
ooutputList`1`x`(List(Any))->Void`pOutputPackage``914693
ooutputSpacing`1`x`(NonNegativeInteger)->NonNegativeInteger`dFloat``914899
ooutputVRML`2`n`(%,TextFile)->Void`dXmlAttribute``915071
ooutputVRML`2`n`(%,TextFile)->Void`dXmlElement``915347
oover`2`n`(%,%)->%`dOutputForm``915621
ooverbar`1`n`(%)->%`dOutputForm``915714
ooverbar`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``915782
ooverlabel`2`n`(%,%)->%`dOutputForm``916003
ooverlap`2`n`(%,%)->Record(lm:%,mm:%,rm:%)`dFreeMonoid(S)``916096
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``916289
oP`1`n`(List(NonNegativeInteger))->%`cJetBundleCategory``916430
oP`1`n`(List(NonNegativeInteger))->%`cJetBundleFunctionCategory(JB)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oP`1`n`(NonNegativeInteger)->%`cJetBundleCategory``916540
oP`1`n`(NonNegativeInteger)->%`cJetBundleFunctionCategory(JB)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->%`cJetBundleCategory``916676
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->%`cJetBundleFunctionCategory(JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->%`cJetBundleCategory``916905
oP`2`n`(PositiveInteger,NonNegativeInteger)->%`cJetBundleFunctionCategory(JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
opa_to_sup`1`n`(PrimitiveArray(K))->SparseUnivariatePolynomial(K)`pVectorPolynomialOperationsF(K)``917060
opa_to_sup`1`n`(PrimitiveArray(PrimeField(p)))->SparseUnivariatePolynomial(Integer)`pVectorPolynomialOperationsP(p)``917135
opa_to_sup`1`n`(U32Vector)->SparseUnivariatePolynomial(Integer)`pU32VectorPolynomialOperations``917210
opack_exps`3`n`(Integer,Integer,MD)->SortedExponentVector`cModularAlgebraicGcdOperations(MP,MPT,MD)``917285
opack_exps0`4`n`(SortedExponentVector,List(Integer),Integer,Integer)->Void`dModularAlgebraicGcdTools3``917454
opack_modulus`3`n`(List(MP),List(Symbol),Integer)->Union(MD,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``917525
opack!`1`x`(%)->%`dKeyedAccessFile(Entry)``917682
opack!`1`x`(%)->%`dLibrary``917768
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``917854
opackageCall`2`n`(Symbol,List(InputForm))->InputForm`pInputFormFunctions1(R)``917943
opad`4`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->(%)->%`dOutputBox``918064
opade_cf`2`n`(Stream(F),UnivariatePolynomial(xs,F))->ContinuedFraction(UnivariatePolynomial(xs,F))`pPadeContinuousFraction(F,xs)``918443
opade_cf2`3`n`(Stream(F),Stream(F),UnivariatePolynomial(xs,F))->ContinuedFraction(UnivariatePolynomial(xs,F))`pPadeContinuousFraction(F,xs)``918589
opade_stream`2`n`(Stream(F),UnivariatePolynomial(xs,F))->Stream(UnivariatePolynomial(xs,F))`pPadeContinuousFraction(F,xs)``918832
opade_stream2`3`n`(Stream(F),Stream(F),UnivariatePolynomial(xs,F))->Stream(UnivariatePolynomial(xs,F))`pPadeContinuousFraction(F,xs)``919008
opade`3`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``919281
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``919503
opade`4`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``919803
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``920103
opadicallyExpand`2`x`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``920415
opadicFraction`1`x`(%)->%`dPartialFraction(R)``920558
opair?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``920821
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``920900
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``921025
opalgint0`7`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``921198
opalgintegrate`3`n`(R,F,(UP)->UP)->Record(result1:IntegrationResult(R),result2:F)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``921564
opalgLODE`5`n`(L,F,Kernel(F),Kernel(F),Symbol)->Record(particular:Union(F,"failed"),basis:List(F))`pPureAlgebraicIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`921715
opalgLODE0`6`n`(L,F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->Record(particular:Union(F,"failed"),basis:List(F))`pGenusZeroIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`921843
opalgLODE0`8`n`(L,F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->Record(particular:Union(F,"failed"),basis:List(F))`pGenusZeroIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`922023
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``922326
opalgRDE0`7`n`(F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"),F,SparseUnivariatePolynomial(F))->Union(F,"failed")`pGenusZeroIntegration(R,F,L)``922717
opalgRDE0`9`n`(F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->Union(F,"failed")`pGenusZeroIntegration(R,F,L)``923163
oparabolic`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``923729
oparabolicCylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``923933
oparaboloidal`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``924173
oparallel`2`n`(%,%)->DoubleFloat`cSPointCategory``924424
oparam_LODE`4`n`(List(F),List(F),Kernel(F),Kernel(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F))`pPureAlgebraicIntegration(R,F,L)``924630
oparam_RDE`4`n`(F,List(F),Kernel(F),Kernel(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F))`pPureAlgebraicIntegration(R,F,L)``924669
oparam_rde`7`n`(Integer,F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricRischDE(R,F)``924707
oparam_rde`8`n`(Integer,F,F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pParametricRischDE(R,F)``924962
oparam_rde2`6`n`(F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricRischDE(R,F)``925275
oparametersOf`1`n`(%)->List(Symbol)`dSymbolTable``925524
oparametric?`1`n`(%)->Boolean`dPlot``925613
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``925683
oParCondList`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR)))`pParametricLinearEquations(R,Var,Expon,GR)``925795
oparen`1`n`(%)->%`dOutputForm``925974
oparen`1`n`(List(%))->%`dOutputForm``926049
oparen`1`n`(S)->S`xExpressionSpace2&(S,K)``0
oparen`1`x`(%)->%`cExpressionSpace2(K)``926177
oparent`1`n`(%)->%`dSubSpace(n,R)``926396
oparenthesize`3`n`(String,String,OutputBox)->OutputBox`cFormatterCategory``926579
oparenthesizeIf`2`n`(Boolean,OutputBox)->OutputBox`cFormatterCategory``926710
oparenthesizeIf`2`n`(Boolean,OutputBox)->OutputBox`xFormatterCategory&(S)``926859
oparents`1`n`(SExpression)->List(Record(form:SExpression,condition:SExpression))`pBrowserInformation``927008
oparse_integer`1`n`(String)->Integer`pScanningUtilities``927092
oparse`1`n`(String)->%`dInputForm``927171
oparse`1`n`(String)->TeXTree`pTexParser``927253
oparse`1`n`(TextFile)->TeXTree`pTexParser``927326
oparseIL`1`n`(String)->%`dILogic``927399
oparseIL2`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dILogic``927611
oparseILTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dILogic``927862
oparseLambda`1`n`(String)->%`dLambda(UT)``928011
oparseSki`1`n`(String)->%`dSKICombinators(UT)``928580
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dLambda(UT)``928624
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`dSKICombinators(UT)``928781
oparseVar`1`n`(String)->%`cVarCat``928932
oparseVarTerm`2`n`(String,NonNegativeInteger)->Record(rft:%,pout:NonNegativeInteger)`cVarCat``928980
opartial`0`n`()->Symbol`pMathematicalSymbols``929109
opartialDenominators`1`x`(%)->Stream(R)`dContinuedFraction(R)``929172
opartialFraction`1`x`(Fraction(R))->%`dPartialFraction(R)`has(R,UniqueFactorizationDomain)`929388
opartialFraction`2`x`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``929530
opartialFraction`2`x`(R,Factored(R))->%`dPartialFraction(R)``929681
opartialFraction`3`x`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``929845
opartialNumerators`1`x`(%)->Stream(R)`dContinuedFraction(R)``930077
opartialQuotients`1`x`(%)->Stream(R)`dContinuedFraction(R)``930287
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F,RR)``930506
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`930556
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`930758
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`930938
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`931140
oparticularSolution`2`x`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``931320
oparticularSolution`2`x`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``931423
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``931526
oparticularSolutionOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``931856
oparticularSolutionOverConstants`3`n`(Vector(F),F,List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``932053
oparticularSolutionOverQ`2`x`(Matrix(R),Vector(R))->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``932256
oparticularSolutionOverQ`2`x`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``932441
opartition`1`n`(List(Integer))->%`dPartition``932631
opartition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``932719
opartitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``932900
opartitions`2`x`(Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``932973
opartitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``933146
oparts`1`n`(A)->List(S)`xOneDimensionalArrayAggregate&(A,S)``0
oparts`1`n`(A)->List(S)`xRecursiveAggregate&(A,S)``0
oparts`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oparts`1`n`(S)->List(R)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oparts`1`n`(S)->List(Record(key:Key,entry:Entry))`xTableAggregate&(S,Key,Entry)``0
oparts`1`x`(%)->List(R)`cTwoDimensionalArrayCategory(R,Row,Col)``933350
oparts`1`x`(%)->List(S)`cHomogeneousAggregate(S)`has(%,finiteAggregate)`933435
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``933570
opastel`1`x`(Color)->%`dPalette``933719
opattern`1`x`(%)->Pattern(Base)`dRewriteRule(Base,R,F)``933809
opatternMatch`3`n`(A,Pattern(Float),PatternMatchResult(Float,A))->PatternMatchResult(Float,A)`xQuotientFieldCategory&(A,S)``0
opatternMatch`3`n`(A,Pattern(Integer),PatternMatchResult(Integer,A))->PatternMatchResult(Integer,A)`xQuotientFieldCategory&(A,S)``0
opatternMatch`3`n`(A,Pattern(S),PatternMatchResult(S,B))->PatternMatchResult(S,B)`pPatternMatchPushDown(S,A,B)``933912
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`934226
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``934427
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``934618
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``934800
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``934996
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`935175
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``935360
opatternMatch`3`n`(S,Pattern(Float),PatternMatchResult(Float,S))->PatternMatchResult(Float,S)`xComplexCategory&(S,R)``0
opatternMatch`3`n`(S,Pattern(Float),PatternMatchResult(Float,S))->PatternMatchResult(Float,S)`xPolynomialCategory&(S,R,E,VarSet)``0
opatternMatch`3`n`(S,Pattern(Float),PatternMatchResult(Float,S))->PatternMatchResult(Float,S)`xRealNumberSystem&(S)``0
opatternMatch`3`n`(S,Pattern(Integer),PatternMatchResult(Integer,S))->PatternMatchResult(Integer,S)`xComplexCategory&(S,R)``0
opatternMatch`3`n`(S,Pattern(Integer),PatternMatchResult(Integer,S))->PatternMatchResult(Integer,S)`xIntegerNumberSystem&(S)``0
opatternMatch`3`n`(S,Pattern(Integer),PatternMatchResult(Integer,S))->PatternMatchResult(Integer,S)`xPolynomialCategory&(S,R,E,VarSet)``0
opatternMatch`3`n`(Symbol,Pattern(S),PatternMatchResult(S,Symbol))->PatternMatchResult(S,Symbol)`pPatternMatchSymbol(S)``935547
opatternMatch`3`x`(%,Pattern(S),PatternMatchResult(S,%))->PatternMatchResult(S,%)`cPatternMatchable(S)``935764
opatternMatch`4`n`(P,Pattern(S),PatternMatchResult(S,P),(V,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)``936067
opatternMatch`5`n`(List(P),List(Pattern(S)),(List(P))->P,PatternMatchResult(S,P),(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchTools(S,R,P)``936324
opatternMatchTimes`4`n`(List(P),List(Pattern(S)),PatternMatchResult(S,P),(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchTools(S,R,P)``936689
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->%`dPattern(R)``936946
opdct`1`n`(%)->Integer`dPartition``937131
opencil`1`n`(%)->LinearMultivariateMatrixPencil(F)`dFreeDivisionAlgebra(VAR,F)``937280
operfectNthPower?`2`x`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``937348
operfectNthRoot`1`x`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``937467
operfectNthRoot`2`x`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``937629
operfectSqrt`1`x`(I)->Union(I,"failed")`pIntegerRoots(I)``937770
operfectSquare?`1`x`(I)->Boolean`pIntegerRoots(I)``937898
operm_to_vec`3`x`(List(S),Permutation(S),NonNegativeInteger)->Vector(NonNegativeInteger)`dPermutationGroup(S)``938009
opermanent`1`x`(SquareMatrix(n,R))->R`pPermanent(n,R)``938084
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``939312
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`x`(%,%)->%`cCombinatorialFunctionCategory``939475
opermutation`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``939632
opermutationGroup`1`x`(List(Permutation(S)))->%`dPermutationGroup(S)``939779
opermutationRepresentation`1`n`(G)->Permutation(Integer)`pFiniteGroupPackage(G)``939891
opermutationRepresentation`1`x`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``940003
opermutationRepresentation`1`x`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``940213
opermutationRepresentation`2`x`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``940457
opermutationRepresentation`2`x`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``940678
opermutations`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``940857
operpendicular`2`n`(%,%)->%`cSPointCategory``940967
operspective`2`x`(%,String)->Void`dThreeDimensionalViewport``941174
oPfaffian`1`n`(S)->R`xMatrixCategory&(S,R,Row,Col)``0
oPfaffian`1`x`(%)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`941421
oPfaffian`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`941535
oPhi`0`n`()->Symbol`pMathematicalSymbols``941649
ophi`0`n`()->Symbol`pMathematicalSymbols``941714
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``941777
ophysicalLength!`2`n`(%,Integer)->%`dIndexedFlexibleArray(S,mn)``942029
ophysicalLength!`2`x`(%,Integer)->%`dFlexibleArray(S)``0
ophysicalLength`1`n`(%)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``942147
ophysicalLength`1`x`(%)->NonNegativeInteger`dFlexibleArray(S)``0
opi`0`n`()->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``942250
opi`0`n`()->F`pElementaryFunction(R,F)``942391
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
oPi`0`n`()->Symbol`pMathematicalSymbols``942448
opi`0`n`()->Symbol`pMathematicalSymbols``942525
opi`0`x`()->%`cTranscendentalFunctionCategory``942600
opi`0`x`()->%`dPiDomain``942658
opile`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``942718
opile`1`n`(List(%))->%`dOutputForm``942952
opivot`2`n`(%,Integer)->Record(Index:C,Entry:D)`dSparseEchelonMatrix(C,D)``943150
opivots`1`n`(%)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``943280
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`x`(%,PositiveInteger)->%`cNonAssociativeAlgebra(R)``943384
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``943539
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``943920
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot``944374
oplot`2`n`(%,Segment(DoubleFloat))->%`dPlot``944464
oplot`2`n`(%,Segment(DoubleFloat))->%`dPlot3D``944503
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->%`dPlot``944542
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot``944671
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``944814
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``944967
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``945159
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``945241
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot3D``945363
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``945534
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``945783
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->%`dPlot``945844
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->%`dPlot``946067
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``946284
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``946395
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``946513
oplus`2`n`(%,%)->%`dThreeDimensionalMatrix(R)`has(R,Ring)`946701
oplus`2`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer))->Record(mantissa:Integer,exponent:Integer)`pFloatingPointOperations``946798
oplus`3`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``946863
oplusInfinity`0`x`()->%`dOrderedCompletion(R)``946966
oplusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``947014
oPm`2`n`(PositiveInteger,List(NonNegativeInteger))->%`cJetBundleCategory``947065
opmintegrate`4`n`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F))->Union(F,"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,SpecialFunctionCategory))`947155
oPnan?`1`n`(%)->Boolean`cSPointCategory``947310
opoint?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``947802
opoint`1`x`(%)->Point(R)`cThreeSpaceCategory(R)``947962
opoint`1`x`(List(R))->%`cPointCategory(R)``948136
opoint`1`x`(Point(R))->%`cThreeSpaceCategory(R)``948249
opoint`2`x`(%,List(R))->%`cThreeSpaceCategory(R)``948367
opoint`2`x`(%,NonNegativeInteger)->%`cThreeSpaceCategory(R)``948616
opoint`2`x`(%,Point(R))->%`cThreeSpaceCategory(R)``948775
opoint`3`n`(%,Point(DoubleFloat),Palette)->Void`dGraphImage``949008
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``949358
opointColor`1`x`(Float)->%`dDrawOption``949590
opointColor`1`x`(Palette)->%`dDrawOption``949729
opointColorDefault`0`x`()->Palette`pViewDefaultsPackage``949900
opointColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``949988
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``950098
opointData`1`n`(%)->List(Point(R))`dSubSpace(n,R)``950319
opointList`1`n`(%)->List(PT)`dSceneIFS(PT)``950439
opointList`1`x`(%)->List(S)`dPermutationGroup(S)``950508
opointLists`1`n`(%)->List(List(Point(DoubleFloat)))`dGraphImage``950568
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->%`dPlot``950726
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``950888
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``951064
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``951332
opoints`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``951385
opointSizeDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``951643
opointSizeDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``951733
opoisson`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``951833
opoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``951872
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``951963
opolar`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``952072
opolarCoordinates`1`n`(S)->Record(r:R,phi:R)`xComplexCategory&(S,R)``0
opolarCoordinates`1`x`(%)->Record(r:R,phi:R)`cComplexCategory(R)`AND(has(R,RealNumberSystem),has(R,TranscendentalFunctionCategory))`952282
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``952395
opole?`1`n`(%)->Boolean`dInnerTaylorSeries(Coef)``952851
opole?`1`x`(%)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``952990
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``953065
opoly_factor`1`n`(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))->Factored(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))`pExpressionFactorPolynomial(R,F)``953160
opoly_int`3`n`(Fraction(SparseUnivariatePolynomial(F)),Kernel(F),Symbol)->Record(answer:Fraction(SparseUnivariatePolynomial(F)),logpart:Fraction(SparseUnivariatePolynomial(F)),ir:IntegrationResult(Fraction(SparseUnivariatePolynomial(F))))`pDenominatorIntegration(R,F)``953222
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``953280
opolygamma`2`x`(%,%)->%`cSpecialFunctionCategory``953375
opolygamma`2`x`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions2``0
opolygamma`2`x`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
opolygon?`1`x`(%)->Boolean`cThreeSpaceCategory(R)``953509
opolygon`1`x`(%)->List(Point(R))`cThreeSpaceCategory(R)``953657
opolygon`1`x`(List(Point(R)))->%`cThreeSpaceCategory(R)``953878
opolygon`2`x`(%,List(List(R)))->%`cThreeSpaceCategory(R)``954063
opolygon`2`x`(%,List(Point(R)))->%`cThreeSpaceCategory(R)``954420
opolylog_int`6`n`(F,Symbol,Kernel(F),NonNegativeInteger,List(Kernel(F)),F)->Union(Record(ratpart:F,coeff:F,prim:F),"failed")`pParametricIntegration(R,F)``954586
opolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``954640
opolylog`2`x`(%,%)->%`cSpecialFunctionCategory``954720
opolynomial?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``954800
opolynomial`1`n`(%)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``954860
opolynomial`2`x`(%,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``954929
opolynomial`2`x`(%,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``955051
opolynomial`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``955173
opolynomial`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``955323
opolyPart`1`x`(%)->UP`dFullPartialFractionExpansion(F,UP)``955473
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``955540
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``955579
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``955968
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`x`(%,R,E,%)->%`cFiniteAbelianMonoidRing(R,E)``956362
opop!`1`x`(%)->S`cStackAggregate(S)``956522
opopFortranOutputStack`0`n`()->Void`pFortranOutputStackPackage``956732
oposetL7`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``956800
oposetM5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``956863
oposetN5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``956926
oposetO6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``956989
oposetP6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``957052
oposition`1`x`(%)->NonNegativeInteger`cCachableSet``957115
oposition`2`n`((S)->Boolean,A)->Integer`xLinearAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`n`(%,List(%))->Integer`dCubicalFacet``957194
oposition`2`n`(%,List(%))->Integer`dOrientedFacet``957301
oposition`2`n`(S,A)->Integer`xLinearAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`x`((S)->Boolean,%)->Integer`cLinearAggregate(S)`has(%,finiteAggregate)`957408
oposition`2`x`(S,%)->Integer`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`957593
oposition`3`n`(S,A,Integer)->Integer`xLinearAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xListAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`3`x`(%,%,Integer)->Integer`cStringAggregate``957748
oposition`3`x`(CharacterClass,%,Integer)->Integer`cStringAggregate``957946
oposition`3`x`(S,%,Integer)->Integer`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`958165
opositive?`1`n`(%)->Boolean`cAIntervalCategory(R)`has(R,OrderedAbelianMonoid)`958350
opositive?`1`n`(S)->Boolean`xAIntervalCategory&(S,R)``0
opositive?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
opositive?`1`n`(S)->Boolean`xOrderedAbelianGroup&(S)``0
opositive?`1`x`(%)->Boolean`cOrderedAbelianGroup``958487
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`x`(ThePols,%)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``958565
opositivePower`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
opositivePower`2`x`(%,Integer)->%`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`958663
opositiveRemainder`2`x`(%,%)->%`cIntegerNumberSystem``958792
opositiveSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``958915
opositiveSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``959007
opositiveSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``959133
opositiveSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``959225
opossibleOrder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``960046
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`x`(%)->Boolean`cStreamAggregate(S)``960157
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``960355
opostfix`2`n`(%,%)->%`dOutputForm``960520
opow`0`n`()->PrimitiveArray(%)`dModMonic(R,Rep)``960594
opow`4`n`(U32Vector,PositiveInteger,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``960831
opower_matrix`3`n`(PA,NonNegativeInteger,PMD)->Record(matr:MMT,poly:PA)`cModularFactorizationOperations(PA,MMT,MD,PMD)``960970
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``961325
opower`2`n`(A,Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)`has(A,Field)`961596
opower`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``961686
opowerAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``961919
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`962025
opowers`1`n`(List(Integer))->List(List(Integer))`dPartition``962104
opowerset`1`n`(List(S))->FiniteBiCPO(List(S))`pPosetFactory(S)``962396
opowerSum`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``962502
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`x`(%,%,%)->%`cIntegerNumberSystem``962590
opowToUPS`2`n`(List(FE),Record(pos_Check?:Boolean,atan_Flag:Union("complex","real: two sides","real: left side","real: right side","just do it"),coeff_check?:Union((FE)->Boolean,"none"),inv_check?:Union((FE)->Boolean,"none"),zero_check?:Union((FE)->Boolean,"none"),log_x_replace:Boolean,log_x_val:FE,cache:List(Record(ker:Kernel(FE),ser:Union(%series:UPS,%problem:Record(func:String,prob:String))))))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``962665
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``962720
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``962871
oPr`2`n`(PositiveInteger,List(PositiveInteger))->%`cJetBundleCategory``963004
oPr`2`n`(PositiveInteger,List(PositiveInteger))->S`xJetBundleCategory&(S)``0
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``963097
opre_gauss`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``963156
opre_lr`3`n`(Matrix(Integer),Vector(Integer),Vector(Integer))->Matrix(Integer)`pUnitGaussianElimination``963306
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(%))`dRegularTriangularSet(R,E,V,P)``963511
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(%))`dSquareFreeRegularTriangularSet(R,E,V,P)``963607
opre_smith`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``963703
oprecedence`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``963832
oprecedence`2`n`(Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``964034
oprecision`0`n`()->PositiveInteger`dMachineFloat``964236
oprecision`0`x`()->PositiveInteger`cFloatingPointSystem``964304
oprecision`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``964368
oprecision`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(%,arbitraryPrecision)`964446
oprecondition`1`n`(OutputForm)->OutputForm`pOutputFormTools``964531
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``964591
opredicates`1`n`(%)->List(Any)`dPattern(R)``964742
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`x`(%,%)->Boolean`cStringAggregate``964880
oprefix`2`n`(%,List(%))->%`dOutputForm``965049
oprefix`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``965197
oprefix`3`n`(String,Integer,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`xFormatterCategory&(S)``965414
oprefixRagits`1`x`(%)->List(Integer)`dRadixExpansion(bb)``965631
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)``965843
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`x`(%,%,V)->%`cRecursivePolynomialCategory(R,E,V)``965995
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pQuasiComponentPackage(R,E,V,P,TS)``966129
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``966235
oprepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``966341
opresub`2`n`(%,%)->%`dOutputForm``966443
opresuper`2`n`(%,%)->%`dOutputForm``966526
opretendOfType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``966613
oprevious`1`x`(%)->%`cDoublyLinkedAggregate(S)``966703
oprevPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``966875
oprimaryDecomp`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->List(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))`pIdealDecompositionPackage(vl)``966959
oprime?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
oprime?`1`n`(S)->Boolean`xField&(S)``0
oprime?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oprime?`1`n`(S)->Boolean`xUniqueFactorizationDomain&(S)``0
oprime?`1`x`(%)->Boolean`cUniqueFactorizationDomain``967075
oprime?`1`x`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``967237
oprime?`1`x`(I)->Boolean`pIntegerPrimesPackage(I)``967318
oprime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``968475
oprime`1`n`(%)->%`dOutputForm``968537
oprime`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``968629
oprime`2`n`(%,NonNegativeInteger)->%`dOutputForm``969013
oprimeFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``969094
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`x`(%)->%`cFieldOfPrimeCharacteristic``969243
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`x`(%,NonNegativeInteger)->%`cFieldOfPrimeCharacteristic``969334
oprimes`2`x`(I,I)->List(I)`pIntegerPrimesPackage(I)``969430
oprimextint`4`n`((UP)->UP,(List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``969519
oprimintegrate`4`n`(Fraction(UP),(UP)->UP,(Fraction(UP))->Record(answer:Fraction(UP),logpart:Fraction(UP),ir:IntegrationResult(Fraction(UP))),(F,NonNegativeInteger)->Union(Record(ratpart:F,coeff:F,prim:F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``969776
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``969980
oprimitive?`1`x`(%)->Boolean`cFiniteFieldCategory``970127
oprimitiveElement`0`x`()->%`cFiniteFieldCategory``970367
oprimitiveElement`1`x`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``970565
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``970826
oprimitiveElement`2`x`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`971232
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``971560
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``971969
oprimitiveMonomials`1`n`(%)->List(%)`cMaybeSkewPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`972323
oprimitiveMonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart!`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`972520
oprimitivePart`1`n`(S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
oprimitivePart`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oprimitivePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`1`n`(S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oprimitivePart`1`x`(%)->%`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`972593
oprimitivePart`1`x`(%)->%`cFunctionFieldCategory(F,UP,UPUP)``972716
oprimitivePart`1`x`(%)->%`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`972839
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`972963
oprimitivePart`2`x`(%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`973156
oprimitiveRowEchelon`1`n`(%)->Record(Ech:%,Lt:Matrix(Fraction(D)),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`973321
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`973691
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`973793
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``973939
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`x`(%)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``973973
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`x`(List(%))->Record(coef:List(%),generator:%)`cPrincipalIdealDomain``974053
oprincipalSubResultantSet`2`n`(SparseUnivariatePolynomial(Polynomial(TheField)),SparseUnivariatePolynomial(Polynomial(TheField)))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
oprindINFO`6`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,Dpol)``974275
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``974313
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,Dpol)``974353
oprint`1`n`(%)->Void`dOutputForm``974392
oprint`1`x`(OutputForm)->Void`pPrintPackage``974441
oprintCode`1`n`(%)->Void`dFortranCode``974552
oprintHeader`0`n`()->Void`dTheSymbolTable``974620
oprintHeader`1`n`(Symbol)->Void`dTheSymbolTable``974768
oprintHeader`2`n`(Symbol,%)->Void`dTheSymbolTable``974914
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``975058
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``975272
oprintStatement`1`n`(List(OutputForm))->%`dFortranCode``975392
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``975471
oprintSys`1`n`(List(D))->OutputForm`dJetDifferentialEquation(JB,D)``975522
oprintTypes`1`n`(%)->Void`dSymbolTable``975676
oprintTypes`1`n`(Symbol)->Void`dTheSymbolTable``975795
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``975914
oprocessTemplate`1`n`(FileName)->FileName`dFortranTemplate``976088
oprocessTemplate`2`n`(FileName,FileName)->FileName`dFortranTemplate``976213
oprod`1`n`(%)->%`dOutputForm``976322
oprod`2`n`(%,%)->%`dOutputForm``976410
oprod`3`n`(%,%,%)->%`dOutputForm``976528
oprodiag`1`n`(Stream(Stream(A)))->Stream(A)`dStreamTaylorSeriesOperations(A)``976685
oproduct`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``976924
oproduct`2`n`(%,%)->%`dCubicalFacet``977114
oproduct`2`n`(%,%)->%`dFiniteCubicalComplex(VS)``977233
oproduct`2`n`(%,%)->%`dFiniteSimplicialComplex(VS)``977280
oproduct`2`n`(%,%)->List(ProductFacet)`dOrientedFacet``977749
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``978224
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``978330
oproduct`2`x`(%,%)->%`cGradedAlgebra(R,E)``978484
oproduct`2`x`(%,%)->%`dCartesianTensor(minix,dim,R)``978931
oproduct`2`x`(%,SegmentBinding(%))->%`cCombinatorialOpsCategory``979197
oproduct`2`x`(%,Symbol)->%`cCombinatorialOpsCategory``979303
oproduct`3`n`(%,%,NonNegativeInteger)->%`dXPBWPolynomial(VarSet,R)``979457
oproductFacet`2`n`(Integer,List(Record(left:NonNegativeInteger,right:NonNegativeInteger)))->%`dProductFacet``979541
oproductFacet`2`n`(Integer,ProductFacet)->%`dProductFacet``979578
oproject`2`n`(%,NonNegativeInteger)->%`dJetDifferentialEquation(JB,D)``979626
oprojection`1`n`(%)->Union(%,"failed")`dCell(TheField)``979776
oprojectionSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``979852
oprojectiveSpace`1`n`(Integer)->DeltaComplex(VS)`pDeltaComplexFactory(VS)``979914
oprojectiveSpace`1`n`(Integer)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``979958
oprojectiveSpace`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``980250
oprolateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``980536
oprologue`1`n`(%)->List(String)`dTexFormat``980878
oprologue`1`n`(%)->OutputBox`dFormatter(F)``980958
oprolong`1`n`(%)->Record(SDe:%,IC:List(D))`dJetDifferentialEquation(JB,D)``981036
oprolong`2`n`(%,NonNegativeInteger)->%`dJetVectorField(JB,D)``981172
oprolong`2`n`(%,NonNegativeInteger)->Record(SDe:%,IC:List(D))`dJetDifferentialEquation(JB,D)``981298
oprolongMV`1`n`(Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger)))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``981423
oprolongSymbol`1`n`(SparseEchelonMatrix(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``981547
oproperties`1`x`(%)->AssociationList(Symbol,None)`dBasicOperator``981623
oproperty`2`x`(%,Symbol)->Union(None,"failed")`dBasicOperator``981724
oproposition`1`n`(String)->%`dILogic``981849
opseudoDivide`2`n`(S,S)->Record(coef:R,quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
opseudoDivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
opseudoDivide`2`x`(%,%)->Record(coef:R,quotient:%,remainder:%)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`981881
opseudoDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cRecursivePolynomialCategory(R,E,V)``982070
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`x`(%,%)->%`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`982271
opseudoRem`3`n`(MPT,MPT,MD)->MPT`cModularAlgebraicGcdOperations(MP,MPT,MD)``982459
opseudoRemainder`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoRemainder`2`x`(%,%)->%`cUnivariatePolynomialCategory(R)`has(R,Ring)`982558
oPsi`0`n`()->Symbol`pMathematicalSymbols``982798
opsi`0`n`()->Symbol`pMathematicalSymbols``982863
opsolve`1`n`(Matrix(GR))->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``982926
opsolve`2`n`(Matrix(GR),List(GR))->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``983055
opsolve`2`n`(Matrix(GR),List(Symbol))->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``983206
opsolve`2`n`(Matrix(GR),PositiveInteger)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``983358
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``983506
opsolve`3`n`(Matrix(GR),List(GR),PositiveInteger)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``983730
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``983903
opsolve`3`n`(Matrix(GR),List(Symbol),PositiveInteger)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``984137
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``984311
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``984546
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``984750
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``984999
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``985256
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``985352
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``985438
optree`1`x`(S)->%`dPendantTree(S)``985526
optree`2`x`(%,%)->%`dPendantTree(S)``985573
opuiseux`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``985613
opuiseux`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``985796
opuiseux`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``985866
opuiseux`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``985979
opuiseux`2`x`(Fraction(Integer),ULS)->%`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``986222
opuiseux`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``986276
opuiseux`4`n`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``986446
opuiseux`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
opuiseux`5`n`((Fraction(Integer))->R,Symbol,R,UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries1(R)``986674
opuiseux`5`n`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`986901
opuiseux`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
opureLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``987123
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`x`(%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``987262
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``987600
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``987729
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`x`(P,%)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``987913
opurge!`2`n`(%,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``988051
opush!`2`x`(S,%)->S`cStackAggregate(S)``988180
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``988439
opushdown`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``988485
opushdterm`2`x`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``988630
opushFortranOutputStack`1`n`(FileName)->Void`pFortranOutputStackPackage``988778
opushFortranOutputStack`1`n`(String)->Void`pFortranOutputStackPackage``988864
opushucoef`2`x`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``988950
opushuconst`2`x`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``989092
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``989223
opushup`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``989267
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``989420
oputGraph`3`n`(%,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``989619
oqaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``990036
oqaddColumns!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``990260
oqaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,F)->%`dFreeDivisionAlgebra(VAR,F)``990414
oqaddRows!`4`n`(%,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``990519
oqcoerce`1`x`(Integer)->%`dNonNegativeInteger``990682
oqcoerce`1`x`(Integer)->%`dPositiveInteger``990775
oqcolumnIndices`2`n`(%,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``990865
oqcolumnIndices`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``991021
oqcolumnIndices`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dLinearMultivariateMatrixPencil(R)``991199
oqconvert`1`n`(Integer)->%`dU64Int``0
oqconvert`1`x`(Integer)->%`dSingleInteger``991391
oqdiagonal?`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``991485
oqdiagonal`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``991611
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`x`(%,Dom)->Im`cEltableAggregate(Dom,Im)``991750
oqelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(R)`dLinearMultivariateMatrixPencil(R)``992052
oqelt`3`n`(%,NonNegativeInteger,NonNegativeInteger)->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``992174
oqelt`3`x`(%,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``992257
oqelt`3`x`(%,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``992453
oqelt`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dLinearMultivariateMatrixPencil(R)``992627
oqequal?`5`n`(%,List(NonNegativeInteger),%,List(NonNegativeInteger),NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``992764
oqinterval`2`n`(R,R)->%`cAIntervalCategory(R)``992868
oqlog`1`x`(%)->%`dDoubleFloat``992971
oqmultiplyColumn!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``993063
oqmultiplyRow!`3`n`(%,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``993145
oqnew`1`n`(Integer)->%`dComplexDoubleFloatVector``993238
oqnew`1`n`(Integer)->%`dDoubleFloatVector``993315
oqnew`1`n`(NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``993392
oqnew`2`n`(NonNegativeInteger,List(FreeMonoid(VAR)))->%`dFreeDivisionAlgebra(VAR,F)``993458
oqnew`2`x`(NonNegativeInteger,NonNegativeInteger)->%`cTwoDimensionalArrayCategory(R,Row,Col)``993529
oqnew`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``993601
oqnilpotent?`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``993724
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``993857
oqregular?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``994069
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``994170
oqrowIndices`2`n`(%,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``994261
oqrowIndices`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(List(NonNegativeInteger))`dLinearMultivariateMatrixPencil(R)``994414
oqrowIndices`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`dLinearMultivariateMatrixPencil(R)``994589
oqscaleBlock!`7`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->%`dLinearMultivariateMatrixPencil(R)``994735
oqsemizero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``994884
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`x`(%,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(%,shallowlyMutable)`995031
oqsetelt!`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(R))->List(R)`dLinearMultivariateMatrixPencil(R)``995243
oqsetelt!`4`x`(%,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``995404
oqsetelt!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dLinearMultivariateMatrixPencil(R)``995584
oqsetfirst!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
oqsetfirst!`2`x`(%,S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`995722
oqsetrest!`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oqsetrest!`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`995846
oqShiftAction`4`n`(D,NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``995960
oqShiftC`2`n`(D,NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``996199
oqsqrt`1`x`(%)->%`dDoubleFloat``996518
oqswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``996606
oqswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``996706
oqswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``996846
oqswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``996940
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``997075
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``997116
oquadraticForm`1`x`(SquareMatrix(n,K))->%`dQuadraticForm(n,K)``997163
oquadraticNonResidue`0`n`()->%`dInnerPrimeField(p)``997261
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``997383
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``997469
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``997508
oquartic2`2`n`(SparseUnivariatePolynomial(F),F)->Union(Record(reals:List(F),complexes:List(Record(real:F,imag:F))),"failed")`pRootUtilities(R,F)``997559
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``997621
oquasiComponent`1`n`(S)->Record(close:List(P),open:List(P))`xTriangularSetCategory&(S,R,E,V,P)``0
oquasiComponent`1`x`(%)->Record(close:List(P),open:List(P))`cTriangularSetCategory(R,E,V,P)``997821
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`x`(%)->Boolean`cRecursivePolynomialCategory(R,E,V)``997971
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``998144
oquasiRegular?`1`n`(%)->Boolean`dXPolynomialRing(R,E)``998320
oquasiRegular?`1`x`(%)->Boolean`cXFreeAlgebra(vl,R)``998401
oquasiRegular`1`n`(%)->%`dXPolynomialRing(R,E)``998482
oquasiRegular`1`x`(%)->%`cXFreeAlgebra(vl,R)``998553
oquatern`4`x`(R,R,R,R)->%`cQuaternionCategory(R)``998624
oqueue`1`x`(List(S))->%`dQueue(S)``998696
oquickSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``998849
oquo`2`n`(%,%)->%`dOutputForm``998972
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`x`(%,%)->%`cEuclideanDomain``999029
oquo`2`x`(%,%)->%`dNonNegativeInteger``999139
oquoByVar`1`x`(%)->%`cUnivariateTaylorSeriesCategory(Coef)``999234
oquote`0`x`()->%`dCharacter``999498
oquote`1`n`(%)->%`dOutputForm``999567
oquoted?`1`n`(%)->Boolean`dPattern(R)``999637
oquotedOperators`1`x`(%)->List(Symbol)`dRewriteRule(Base,R,F)``999728
oquotient`2`n`(%,List(List(Integer)))->%`dGroupPresentation``999951
oquotient`2`n`(%,List(NonNegativeInteger))->%`dGroupPresentation``1000012
oquotient`2`x`(%,%)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1000076
oquotient`2`x`(%,DPoly)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1000179
oquotient`3`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``1000330
oquotientByP`1`x`(%)->%`cPAdicIntegerCategory(p)``1000435
oquppertriangular?`4`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1000508
oqzero?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1000654
oqzero?`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1000787
oqzero?`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1000891
oqzero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,FreeMonoid(VAR))->Boolean`dFreeDivisionAlgebra(VAR,F)``1001046
oqzero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1001192
oqzero?`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1001295
oR1_to_R2_coercion`1`x`(R1)->R2`pDistributionFunctions2(R1,R2)``1001454
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`cJetBundleCategory``1001518
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`xJetBundleCategory&(S)``1001589
orabs`1`x`(Complex(DoubleFloat))->DoubleFloat`pFloatSpecialFunctions``1001660
orabs`1`x`(Complex(Float))->Float`pFloatEllipticFunctions``1001680
orabs`1`x`(Complex(Float))->Float`pFloatSpecialFunctions``1001701
orabs`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``1001721
orabs`1`x`(Float)->Float`pFloatEllipticFunctions``1001741
orabs`1`x`(Float)->Float`pFloatSpecialFunctions``1001762
oracahR`6`n`(F,F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``1001782
oracahR`6`x`(%,%,%,%,%,%)->%`cSpecialFunctionCategory``1001846
oradical_solve`1`n`(SparseUnivariatePolynomial(F))->Union(List(F),"failed")`pRootUtilities(R,F)``1001910
oradical_solve`1`x`(SparseUnivariatePolynomial(Polynomial(R)))->Union(List(Expression(R)),"failed")`pRadicalSolvePackage(R)``1002034
oradical`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl)``1002097
oradicalEigenvalues`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``1002165
oradicalEigenvector`2`x`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``1002317
oradicalEigenvectors`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``1002514
oradicalOfLeftTraceForm`0`x`()->List(A)`pAlgebraPackage(R,A)``1002693
oradicalRoots`2`x`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``1002925
oradicalRoots`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``1003078
oradicalSimplify`1`n`(QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(#(vl),NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(#(vl),NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pQuasiAlgebraicSet2(vl)``1003250
oradicalSolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1003554
oradicalSolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1003751
oradicalSolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1003915
oradicalSolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1004111
oradicalSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1004287
oradicalSolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``1004457
oradicalSolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1004649
oradicalSolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``1004840
oradix`2`x`(Fraction(Integer),Integer)->Any`pRadixUtilities``1005063
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``1005146
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``1005268
oramified?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1005430
oramified?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1005497
oramifiedAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1005567
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``1005634
orandnum`0`x`()->Integer`pRandomNumberSource``1005737
orandnum`1`x`(Integer)->Integer`pRandomNumberSource``1005802
orandom_poly`2`n`(Integer,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1005872
orandom`0`n`()->S`xFinite&(S)``0
orandom`0`n`()->S`xFramedModule&(S,R)``0
orandom`0`n`()->S`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
orandom`0`x`()->%`cFinite``1005953
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``1006015
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1006145
orandom`1`x`(%)->%`cIntegerNumberSystem``1006229
orandom`1`x`(%)->%`dInteger``1006300
orandom`1`x`(%)->%`dNonNegativeInteger``1006371
orandom`1`x`(%)->Permutation(S)`dPermutationGroup(S)``1006442
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``1006579
orandom`2`x`(%,Integer)->Permutation(S)`dPermutationGroup(S)``1006752
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``1006859
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``1006921
orandomR`1`n`(Integer)->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1006977
orange`1`x`(List(Segment(Float)))->%`dDrawOption``1007037
orange`1`x`(List(Segment(Fraction(Integer))))->%`dDrawOption``1007162
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1007287
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``1007367
oranges`1`n`(%)->List(Segment(Float))`dGraphImage``1007486
oranges`1`x`(List(Segment(Float)))->%`dDrawOption``1007650
oranges`2`n`(%,List(Segment(Float)))->List(Segment(Float))`dGraphImage``1007782
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``1008027
orank`0`n`()->PositiveInteger`cFramedModule(R)``1008226
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`0`n`()->PositiveInteger`xOctonionCategory&(S,R)``0
orank`0`x`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``1008278
orank`0`x`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``1008332
orank`1`n`(%)->NonNegativeInteger`dFreeDivisionAlgebra(VAR,F)``1008405
orank`1`n`(%)->NonNegativeInteger`dVectorSpaceBasis(R)``1008546
orank`1`n`(List(Vector(R)))->NonNegativeInteger`dVectorSpaceBasis(R)``1008651
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1008713
orank`1`x`(%)->NonNegativeInteger`cMatrixOperationsCategory(R,Row,Col)`has(R,IntegralDomain)`1008776
orank`1`x`(%)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``1008839
orank`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`1008980
orank`2`x`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``1009043
orank`2`x`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``1009158
orarrow`2`n`(%,%)->%`dOutputForm``1009273
oratDenom`1`x`(F)->F`pAlgebraicManipulations(R,F)``1009346
oratDenom`2`x`(F,F)->F`pAlgebraicManipulations(R,F)``1009484
oratDenom`2`x`(F,List(F))->F`pAlgebraicManipulations(R,F)``1009600
oratDenom`2`x`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``1009735
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``1009862
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``1010174
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``1010414
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``1010726
oratexpr`1`n`(%)->OutputForm`dFreeDivisionAlgebra(VAR,F)``1010966
oratexprInverse`2`n`(%,Boolean)->OutputForm`dFreeDivisionAlgebra(VAR,F)``1011094
orational_reconstruction`1`n`(%)->Union(Record(numers:PrimitiveArray(Integer),denoms:PrimitiveArray(Integer)),"failed")`dVectorIntegerReconstructor``1011292
orational_reconstruction`1`n`(%)->Union(Record(numers:PrimitiveArray(U32Vector),denoms:PrimitiveArray(U32Vector)),"failed")`dVectorModularReconstructor``1011421
orational_reconstruction`4`n`(Integer,Integer,Integer,Integer)->Union(Record(num:Integer,den:Integer),"failed")`dVectorIntegerReconstructor``1011550
orational_reconstruction`4`n`(U32Vector,U32Vector,Integer,Integer)->Union(Record(numer:U32Vector,denom:U32Vector),"failed")`dVectorModularReconstructor``1011764
orational?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
orational?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
orational?`1`x`(%)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`1011990
orational?`1`x`(%)->Boolean`cIntegerNumberSystem``1012057
orational?`1`x`(%)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1012158
orational?`1`x`(%)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1012272
orational?`1`x`(%)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`1012466
orational?`1`x`(%)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1012576
orational?`1`x`(%)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1012650
orational?`1`x`(S)->Boolean`pRationalRetractions(S)``1012724
orational`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xIntegerNumberSystem&(S)``0
orational`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
orational`1`x`(%)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`1012829
orational`1`x`(%)->Fraction(Integer)`cIntegerNumberSystem``1012939
orational`1`x`(%)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1013026
orational`1`x`(%)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1013146
orational`1`x`(%)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`1013355
orational`1`x`(%)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1013506
orational`1`x`(%)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1013623
orational`1`x`(S)->Fraction(Integer)`pRationalRetractions(S)``1013738
orationalApproximation`2`x`(%,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``1013847
orationalApproximation`2`x`(%,NonNegativeInteger)->Fraction(Integer)`dFloat``1013982
orationalApproximation`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``1014117
orationalApproximation`3`x`(%,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``1014291
orationalFunction`2`x`(%,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`1014463
orationalFunction`3`x`(%,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`1014605
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xIntegerNumberSystem&(S)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`1014768
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``1014888
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`1014991
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`1015104
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`1015325
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`1015433
orationalIfCan`1`x`(%)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`1015543
orationalIfCan`1`x`(S)->Union(Fraction(Integer),"failed")`pRationalRetractions(S)``1015656
orationalize_ir`2`n`(IntegrationResult(F),Kernel(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``1015773
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``1015873
orationalPoint?`2`x`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1015952
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``1016031
orationalPoints`0`x`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`1016114
orationalPower`1`x`(%)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``1016197
oratpart`1`n`(%)->F`dIntegrationResult(F)``1016295
oratPoly`1`x`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``1016372
oravel`1`x`(%)->List(R)`dCartesianTensor(minix,dim,R)``1016498
orc`2`x`(%,%)->%`dCliffordAlgebra(n,K,bLin)``1016619
orCoord`1`n`(Point(R))->R`pPointPackage(R)``1016658
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``1016925
ordivide`2`n`(XDistributedPolynomial(vl,F),XDistributedPolynomial(vl,F))->Record(quotient:XDistributedPolynomial(vl,F),remainder:XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``1016970
ordregime`1`n`(String)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``1017225
oread!`1`x`(%)->S`cFileCategory(Name,S)``1017298
oread`1`n`(%)->None`dBasicFile``1017462
oread`2`n`(%,String)->None`dBasicKeyedAccessFile``1017524
oreadable?`1`x`(%)->Boolean`cFileNameCategory``1017601
oreadIfCan!`1`x`(%)->Union(S,"failed")`dFile(S)``1017701
oreadIfCan!`1`x`(%)->Union(String,"failed")`dTextFile``1017892
oreadIfCan`1`n`(%)->Union(None,"failed")`dBasicFile``1018101
oreadLine!`1`x`(%)->String`dTextFile``1018189
oreadLineIfCan!`1`x`(%)->Union(String,"failed")`dTextFile``1018283
oreal?`1`n`(%)->Boolean`dFortranScalarType``1018496
oreal?`1`x`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``1018582
oreal?`1`x`(F)->Boolean`pTrigonometricManipulations(R,F)``1018647
oreal`1`x`(%)->R`cComplexCategory(R)``1018712
oreal`1`x`(%)->R`cOctonionCategory(R)``1018765
oreal`1`x`(%)->R`cQuaternionCategory(R)``1018828
oreal`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``1018897
oreal`1`x`(F)->F`pTrigonometricManipulations(R,F)``1018991
orealEigenvalues`2`x`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``1019085
orealEigenvectors`2`x`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``1019299
orealElementary`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``1019579
orealElementary`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``1019729
orealLiouvillian`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``1019916
orealLiouvillian`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``1020183
orealRoots`2`x`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``1020465
orealRoots`3`x`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``1020582
orealSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1020896
orealSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1020986
orealSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1021254
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``1021352
orealSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1021556
orealSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1021663
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1022536
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1022667
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1022798
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1022957
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1023116
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1023310
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1023504
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1023729
orecip`0`n`()->%`dMoebiusTransform(F)``1023954
orecip`1`n`(%)->%`dMoebiusTransform(F)``1024055
orecip`1`n`(%)->Union(%,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1024099
orecip`1`n`(%)->Union(%,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``1024136
orecip`1`n`(S)->Union(S,"failed")`xComplexCategory&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xEntireRing&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xGroup&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMagmaWithUnit&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
orecip`1`n`(Stream(A))->Union(Stream(A),"failed")`dStreamTaylorSeriesOperations(A)``1024173
orecip`1`x`(%)->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1024274
orecip`1`x`(%)->Union(%,"failed")`cMagmaWithUnit``1024501
orecip`1`x`(%)->Union(%,"failed")`dCliffordAlgebra(n,K,bLin)``1024699
orecip`2`n`(ThePols,S)->Union(ThePols,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orecip`2`x`(P,TS)->Record(num:P,den:P)`pNormalizationPackage(R,E,V,P,TS)``1024813
orecip`2`x`(ThePols,%)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1024962
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``1025050
orecolor`2`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``1025219
oreconstruct`2`n`(%,Vector(Integer))->Union(PrimitiveArray(Integer),"failed")`dVectorIntegerReconstructor``1025315
oreconstruct`5`n`(%,Integer,Vector(Integer),Vector(Integer),SortedExponentVector)->Union(Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector),"failed")`dVectorModularReconstructor``1025428
oreconstruct`7`n`(Integer,Vector(Integer),Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``1025561
orectangularMatrix`1`n`(Matrix(R))->%`dRectangularMatrix(m,n,R)``1025708
orecur`1`x`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``1025833
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``1025948
ored_pol!`2`n`(PA,PMD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1026014
ored`0`x`()->%`dColor``1026154
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``1026227
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,Dpol)``1026365
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``1026399
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``1026434
oredpps`2`n`(Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))),List(GR))->Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))`pParametricLinearEquations(R,Var,Expon,GR)``1026625
oreduce`1`n`(%)->%`dJetBundleExpression(JB)``1026740
oreduce`1`n`(%)->%`dJetBundleXExpression(JB)``1026796
oreduce`1`n`(FPol)->%`dResidueRing(F,Expon,VarSet,FPol,LFPol)``1026856
oreduce`1`n`(Fraction(SparseUnivariatePolynomial(R)))->Union(S,"failed")`xComplexCategory&(S,R)``0
oreduce`1`n`(Fraction(UP))->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(Rep)->%`dModMonic(R,Rep)``1026943
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``1027008
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`x`(%)->%`cFiniteDivisorCategory(F,UP,UPUP,R)``1027156
oreduce`1`x`(%)->%`dAlgebraicNumber``1027286
oreduce`1`x`(%)->%`dExpression(R)`has(R,IntegralDomain)`1027415
oreduce`1`x`(Fraction(UP))->Union(%,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`1027547
oreduce`1`x`(UP)->%`cMonogenicAlgebra(R,UP)``1027631
oreduce`2`n`((P,P)->P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`2`n`((S,S)->S,A)->S`xCollection&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xListAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`2`n`(R,List(R))->Record(poly:R,repr:Vector(R),mult:C)`pExtendedPolynomialReduction(C,E,R)``1027782
oreduce`2`n`(R,Mod)->%`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1027950
oreduce`2`n`(R,Mod)->%`dModularField(R,Mod,reduction,merge,exactQuo)``1027991
oreduce`2`n`(R,Mod)->%`dModularRing(R,Mod,reduction,merge,exactQuo)``1028032
oreduce`2`x`((S,S)->S,%)->S`cCollection(S)`has(%,finiteAggregate)`1028073
oreduce`3`n`((P,P)->P,S,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`3`n`((S,S)->S,A,S)->S`xCollection&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xListAggregate&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`3`x`((A,B)->B,DirectProduct(dim,A),B)->B`pDirectProductFunctions2(dim,A,B)``1028381
oreduce`3`x`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``1028546
oreduce`3`x`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``1028915
oreduce`3`x`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``1029255
oreduce`3`x`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``1029589
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1029754
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1030104
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``1030242
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``1030570
oreduce`3`x`((S,S)->S,%,S)->S`cCollection(S)`has(%,finiteAggregate)`1030890
oreduce`3`x`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``1031274
oreduce`4`n`((P,P)->P,S,P,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xCollection&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xListAggregate&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`4`n`(P,S,(P,P)->P,(P,P)->Boolean)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`x`((S,S)->S,%,S,S)->S`cCollection(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1031481
oreduce`4`x`(P,%,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``1031852
oreduceBasis`4`n`(Vector(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``1032392
oreduceBasis0`4`n`(TwoDimensionalArray(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``0
oreduceBasisAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oreduceBasisAtInfinity`1`x`(Vector(%))->Vector(%)`cFunctionFieldCategory(F,UP,UPUP)``1032525
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``1032684
oreduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``1032795
oreduced?`2`x`(%,List(%))->Boolean`cRecursivePolynomialCategory(R,E,V)``1032885
oreduced?`3`n`(P,S,(P,P)->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oreduced?`3`x`(P,%,(P,P)->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``1033000
oreducedContinuedFraction`2`x`(R,Stream(R))->%`dContinuedFraction(R)``1033223
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``1033528
oreducedForm`1`x`(%)->%`dContinuedFraction(R)``1033580
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``1033812
oreducedSystem`1`n`(Matrix(A))->Matrix(Integer)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(A))->Matrix(S)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`x`(Matrix(%))->Matrix(R)`cLinearlyExplicitOver(R)``1033974
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(S),vec:Vector(S))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(F),List((F)->F))->Matrix(F)`pConstantLinearDependence(R,F)``1034112
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`x`(Matrix(%),Vector(%))->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitOver(R)``1034270
oreducedSystem`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(mat:Matrix(F),vec:Vector(F))`pConstantLinearDependence(R,F)``1034433
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``1034625
oreduceLODE`2`n`(LO,List(A))->Record(mat:Matrix(L),vecs:List(Vector(F)))`pReduceLODE(F,L,UP,A,LO)``1034970
oreduceMod`2`n`(List(%),List(%))->List(%)`cJetBundleFunctionCategory(JB)``1035215
oreduceMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``1035313
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``1035515
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``1035804
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``1035966
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``1036075
oreductum`1`n`(%)->%`cIndexedProductCategory(A,S)`has(S,Comparable)`1036160
oreductum`1`n`(%)->%`cSolvableSkewPolynomialCategory(R,Expon)``1036327
oreductum`1`n`(%)->%`dAntiSymm(R,lVar)``1036438
oreductum`1`n`(%)->%`dDeRhamComplex(CoefRing,listIndVar)``1036617
oreductum`1`n`(%)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1036792
oreductum`1`n`(%)->%`dLaurentPolynomial(R,UP)``1036832
oreductum`1`n`(%)->%`dXPolynomialRing(R,E)``1036872
oreductum`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`x`(%,V)->%`cRecursivePolynomialCategory(R,E,V)``1036981
oredux`1`n`(%)->%`dILogic``1037109
oredux`1`n`(%)->%`dLambda(UT)``1037263
oredux`1`n`(%)->%`dLatticeJoinOfMeets``1037336
oredux`1`n`(%)->%`dLatticeMeetOfJoins``1037369
oredux`1`n`(%)->%`dSKICombinators(UT)``1037402
oref`1`n`(S)->%`dReference(S)``1037514
orefactor`1`n`(%)->%`dGroupPresentation``1037589
orefactorIndexes`2`n`(%,NonNegativeInteger)->%`dFiniteSimplicialComplex(VS)``1037809
orefactorIndexes`2`n`(%,NonNegativeInteger)->%`dOrientedFacet``1037905
orefine!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1038005
orefine!`2`n`(%,Boolean)->%`dFreeDivisionAlgebra(VAR,F)``1038076
orefine`1`n`(%)->%`dPlot``1038250
orefine`1`n`(%)->%`dPlot3D``1038317
orefine`1`x`(%)->%`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1038355
orefine`2`n`(%,DoubleFloat)->%`dPlaneAlgebraicCurvePlot``1038436
orefine`2`n`(%,Segment(DoubleFloat))->%`dPlot``1038479
orefine`2`n`(%,Segment(DoubleFloat))->%`dPlot3D``1038520
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``1038561
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``1038948
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``1039127
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackage(Pol)``1039306
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackageQ(Pol)``1039598
orefined?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``1039888
orefinementEquations`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``1039956
orefinementGroebner`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(Polynomial(F))`dFreeDivisionAlgebra(VAR,F)``1040066
orefinementSolve`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Boolean,Boolean)->List(List(Equation(Polynomial(F))))`dFreeDivisionAlgebra(VAR,F)``1040351
orefinementTransformations`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(Equation(Polynomial(F))))->List(Matrix(F))`dFreeDivisionAlgebra(VAR,F)``1040593
orefineUR!`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1040694
orefineUR!`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1040822
oregime`7`n`(Record(det:GR,rows:List(Integer),cols:List(Integer)),Matrix(GR),List(Fraction(Polynomial(R))),List(List(GR)),NonNegativeInteger,NonNegativeInteger,Integer)->Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))`pParametricLinearEquations(R,Var,Expon,GR)``1040948
oregion`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``1041764
oregular?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``1042034
oregularRepresentation`1`n`(G)->Matrix(Integer)`pFiniteGroupPackage(G)``1042091
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`x`(%)->Matrix(R)`cFramedAlgebra(R,UP)``1042208
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`2`x`(%,Vector(%))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1042446
oreindex`1`n`(%)->%`dOrientedFacet``1042712
oreindex`2`x`(%,List(Integer))->%`dCartesianTensor(minix,dim,R)``1042781
orelationsIdeal`1`x`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeal(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`1043035
orelationsInGenerators`1`x`(%)->List(List(Integer))`dPermutationGroup(S)``1043147
orelationsInStrongGenerators`1`x`(%)->List(List(Integer))`dPermutationGroup(S)``1043226
orelativeApprox`2`x`(%,%)->Fraction(Integer)`dRealClosure(TheField)``1043318
orelativeApprox`3`x`(ThePolDom,%,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1043424
orelativeApprox`3`x`(ThePols,%,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``1043548
orelerror`2`x`(%,%)->%`dFloat``1043674
orem`2`n`(%,%)->%`dOutputForm``1043773
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`x`(%,%)->%`cEuclideanDomain``1043830
orem`2`x`(%,%)->%`dNonNegativeInteger``1043941
oremainder!`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``1044011
oremainder`2`n`(P,S)->Record(rnum:R,polnum:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oremainder`2`x`(P,%)->Record(rnum:R,polnum:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1044039
oRemainderList`1`n`(%)->List(Record(k:Symbol,c:%))`dXPolynomial(R)``0
oRemainderList`1`n`(%)->List(Record(k:VarSet,c:%))`dXRecursivePolynomial(VarSet,R)``1044323
oremap_variables`3`n`(SparseMultivariatePolynomial(R,VarSet1),List(VarSet1),List(VarSet2))->SparseMultivariatePolynomial(R,VarSet2)`pSparsePolynomialCoercionHelpers(R,VarSet1,VarSet2)``1044411
oremove_denoms`3`n`(Vector(Integer),PrimitiveArray(Integer),PrimitiveArray(Integer))->PrimitiveArray(Integer)`dVectorIntegerReconstructor``1044639
oremove_denoms`4`n`(Vector(Integer),PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->PrimitiveArray(U32Vector)`dVectorModularReconstructor``1044848
oremove!`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(%,String)->Void`dBasicKeyedAccessFile``1045184
oremove!`2`n`(Key,S)->Union(Entry,"failed")`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(S,A)->A`xDictionary&(A,S)``0
oremove!`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`(S,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(SplittingNode(V,C),%)->%`dSplittingTree(V,C)``1045266
oremove!`2`x`((S)->Boolean,%)->%`cDictionaryOperations(S)`has(%,finiteAggregate)`1045328
oremove!`2`x`((S)->Boolean,%)->%`cExtensibleLinearAggregate(S)``1045469
oremove!`2`x`(Key,%)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1045591
oremove!`2`x`(S,%)->%`cDictionaryOperations(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1045777
oremove!`2`x`(S,%)->%`cExtensibleLinearAggregate(S)`has(S,BasicType)`1045904
oremove!`3`x`((S)->Boolean,%,Integer)->%`dMultiset(S)``1045989
oremove!`3`x`(S,%,Integer)->%`dMultiset(S)``1046282
oremove`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oremove`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(S,A)->A`xCollection&(A,S)``0
oremove`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(SplittingNode(V,C),%)->%`dSplittingTree(V,C)``1046527
oremove`2`x`((S)->Boolean,%)->%`cCollection(S)`has(%,finiteAggregate)`1046715
oremove`2`x`((S)->Boolean,%)->%`cLazyStreamAggregate(S)``1046893
oremove`2`x`(S,%)->%`cCollection(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1047082
oremove`3`x`((S)->Boolean,%,Integer)->%`dMultiset(S)``1047234
oremove`3`x`(S,%,Integer)->%`dMultiset(S)``1047512
oremoveChild!`2`n`(%,%)->Void`dScene(PT)``1047742
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`1047841
oremoveCoshSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1047951
oremoveCosSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1048130
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates!`1`x`(%)->%`cExtensibleLinearAggregate(S)`has(S,BasicType)`1048305
oremoveDuplicates!`1`x`(%)->%`cMultiDictionary(S)``1048388
oremoveDuplicates`1`n`(A)->A`xCollection&(A,S)``0
oremoveDuplicates`1`n`(A)->A`xExtensibleLinearAggregate&(A,S)``0
oremoveDuplicates`1`x`(%)->%`cCollection(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1048490
oremoveHandler!`3`n`(%,Integer,String)->Void`dOperatorHandlers(HANDLER)``1048580
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`1048771
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1049060
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1049710
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1049996
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1050283
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1050384
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1050593
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1050938
oremoveRepeats!`1`n`(%)->%`dIndexedFlexibleArray(S,mn)``1051255
oremoveRepeats!`1`x`(%)->%`dFlexibleArray(S)``0
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1051377
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``1051718
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1051866
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1052154
oremoveRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dFreeDivisionAlgebra(VAR,F)``1052426
oremoveRowsColumns`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dLinearMultivariateMatrixPencil(R)``1052597
oremoveSinhSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1052749
oremoveSinSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1052928
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1053103
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``1053264
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1053366
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``1053468
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1053645
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``1053822
oremoveZeroes`1`n`(%)->%`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(%)->%`dPAdicRational(p)``0
oremoveZeroes`1`n`(%)->%`dPAdicRationalConstructor(p,PADIC)``1054073
oremoveZeroes`1`x`(%)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1054625
oremoveZeroes`2`n`(Integer,%)->%`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,%)->%`dPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,%)->%`dPAdicRationalConstructor(p,PADIC)``1055152
oremoveZeroes`2`x`(Integer,%)->%`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1055265
oremoveZeros`2`n`(%,Expon)->%`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``1055718
orename!`2`x`(%,OutputForm)->%`cRealClosedField``1055825
orename`2`x`(%,OutputForm)->%`cRealClosedField``1055892
oreopen!`2`x`(%,String)->%`cFileCategory(Name,S)``1055961
oreorder`2`n`(%,List(Integer))->%`dDistributedMultivariatePolynomial(vl,R)``1056150
oreorder`2`n`(%,List(Integer))->%`dGeneralDistributedMultivariatePolynomial(vl,R,E)``1056292
oreorder`2`n`(%,List(Integer))->%`dHomogeneousDistributedMultivariatePolynomial(vl,R)``1056434
orepack_polys`4`n`(Integer,Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector))->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``1056576
orepack1`4`n`(MPT,U32Vector,Integer,MD)->Void`cModularAlgebraicGcdOperations(MP,MPT,MD)``1056852
orepeatedIndex`1`n`(%)->List(PositiveInteger)`cJetBundleCategory``1057004
orepeatedIndex`1`n`(S)->List(PositiveInteger)`xJetBundleCategory&(S)``0
orepeating?`2`x`(List(S),%)->Boolean`dStream(S)`has(S,SetCategory)`1057118
orepeating`1`x`(List(S))->%`dStream(S)``1057252
orepeatUntilLoop`2`n`(Switch,%)->%`dFortranCode``1057336
oreplace`3`x`(%,UniversalSegment(Integer),%)->%`cStringAggregate``1057416
oreplaceDiffs`3`n`(F,BasicOperator,Symbol)->F`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oreplaceKthElement`3`n`(%,PositiveInteger,PositiveInteger)->Union(%,"failed")`dSetOfMIntegersInOneToN(m,n)``1057520
orepresentation`1`n`(%)->List(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``1057715
orepresentationType`0`x`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``1057824
orepresents`1`n`(Vector(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`1`n`(Vector(Fraction(UP)))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`1`n`(Vector(R))->%`cFramedModule(R)``1057973
orepresents`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`1`n`(Vector(R))->S`xOctonionCategory&(S,R)``0
orepresents`2`n`(Vector(F),Vector(S))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`2`n`(Vector(Fraction(UP)),Vector(S))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xOctonionCategory&(S,R)``0
orepresents`2`n`(Vector(UP),UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`x`(Vector(R),Vector(%))->%`cFiniteRankAlgebra(R,UP)``1058117
orepresents`2`x`(Vector(R),Vector(%))->%`cFiniteRankNonAssociativeAlgebra(R)``1058206
orepresents`2`x`(Vector(UP),UP)->%`cFunctionFieldCategory(F,UP,UPUP)``1058320
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1058418
oreseed`1`x`(Integer)->Void`pRandomNumberSource``1058547
oreset`1`n`(%)->Void`dTwoDimensionalViewport``1058621
oreset`1`x`(%)->Void`dThreeDimensionalViewport``1058831
oresetBadValues`1`n`(%)->%`dPattern(R)``1059045
oresetNew`0`x`()->Void`dSymbol``1059205
oresetNewGreek`0`n`()->Void`pMathematicalSymbols``1059332
oresetVariableOrder`0`x`()->Void`pUserDefinedVariableOrdering``1059451
oreshape`2`x`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``1059575
oresize`3`n`(%,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``1059696
oresize`3`x`(%,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``1059935
orest`1`n`(%)->%`dFreeMagma(VarSet)``1060178
orest`1`n`(%)->%`dFreeMonoid(S)``1060315
orest`1`n`(%)->%`dPoincareBirkhoffWittLyndonBasis(VarSet)``1060379
orest`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
orest`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`1`n`(S)->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
orest`1`x`(%)->%`cUnaryRecursiveAggregate(S)``1060454
orest`1`x`(%)->Union(%,"failed")`cTriangularSetCategory(R,E,V,P)``1060592
orest`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
orest`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`2`x`(%,NonNegativeInteger)->%`cUnaryRecursiveAggregate(S)``1060754
oresult`1`n`(%)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``1060849
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``1061052
oresultant`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1061129
oresultant`2`x`(%,%)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`1061341
oresultant`3`n`(S,S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oresultant`3`n`(U32Vector,U32Vector,Integer)->Integer`pU32VectorPolynomialOperations``1061435
oresultant`3`x`(%,%,VarSet)->%`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`1061533
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1061668
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1061775
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1061867
oresultantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
oretract_Q`1`n`(F)->Union(Fraction(Integer),"failed")`pFunctionalSpecialFunction(R,F)``1062022
oretract`1`n`(%)->List(D)`dJetDifferentialEquation(JB,D)``1062081
oretract`1`n`(A)->Fraction(Integer)`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Fraction(Integer)`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->Integer`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Integer`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xDifferentialVariableCategory&(A,S)``0
oretract`1`n`(A)->S`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->S`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xRetractableTo&(A,S)``0
oretract`1`n`(A)->Symbol`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(Expression(Float))->%`cFortranFunctionCategory``1062172
oretract`1`n`(Expression(Float))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1062294
oretract`1`n`(Expression(Integer))->%`cFortranFunctionCategory``1062621
oretract`1`n`(Expression(Integer))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1062743
oretract`1`n`(Expression(R))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1063070
oretract`1`n`(Fraction(Polynomial(Float)))->%`cFortranFunctionCategory``1063397
oretract`1`n`(Fraction(Polynomial(Float)))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1063519
oretract`1`n`(Fraction(Polynomial(Integer)))->%`cFortranFunctionCategory``1063846
oretract`1`n`(Fraction(Polynomial(Integer)))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1063968
oretract`1`n`(JetBundleExpression(JB))->%`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1064295
oretract`1`n`(JetBundleExpression(JB))->%`dJetBundleXExpression(JB)``1064420
oretract`1`n`(Matrix(Expression(Float)))->%`cFortranMatrixFunctionCategory``1064545
oretract`1`n`(Matrix(Expression(Integer)))->%`cFortranMatrixFunctionCategory``1064667
oretract`1`n`(Matrix(Fraction(Polynomial(Float))))->%`cFortranMatrixFunctionCategory``1064789
oretract`1`n`(Matrix(Fraction(Polynomial(Integer))))->%`cFortranMatrixFunctionCategory``1064911
oretract`1`n`(Matrix(Polynomial(Float)))->%`cFortranMatrixFunctionCategory``1065033
oretract`1`n`(Matrix(Polynomial(Integer)))->%`cFortranMatrixFunctionCategory``1065155
oretract`1`n`(Polynomial(Float))->%`cFortranFunctionCategory``1065277
oretract`1`n`(Polynomial(Float))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1065399
oretract`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->%`cFortranFunctionCategory``1065726
oretract`1`n`(Polynomial(Integer))->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1065848
oretract`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->%`cRetractableFrom(S)``1066175
oretract`1`n`(S)->A`xRetractableFrom&(A,S)``0
oretract`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->Fraction(Integer)`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Fraction(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Polynomial(R))`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->Integer`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Integer`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->Integer`xIntegerNumberSystem&(S)``0
oretract`1`n`(S)->Integer`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Integer`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Integer`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Integer`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Integer`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Integer`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->K`xExpressionSpace2&(S,K)``0
oretract`1`n`(S)->K`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->Polynomial(R)`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->R`xComplexCategory&(S,R)``0
oretract`1`n`(S)->R`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->R`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->SingletonAsOrderedSet`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Symbol`xFunctionSpace2&(S,R,K)``0
oretract`1`n`(S)->Symbol`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->ULS`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretract`1`n`(S)->UTS`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->VarSet`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(Symbol)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1066298
oretract`1`n`(Vector(Expression(Float)))->%`cFortranVectorFunctionCategory``1066559
oretract`1`n`(Vector(Expression(Integer)))->%`cFortranVectorFunctionCategory``1066681
oretract`1`n`(Vector(Fraction(Polynomial(Float))))->%`cFortranVectorFunctionCategory``1066803
oretract`1`n`(Vector(Fraction(Polynomial(Integer))))->%`cFortranVectorFunctionCategory``1066925
oretract`1`n`(Vector(Polynomial(Float)))->%`cFortranVectorFunctionCategory``1067047
oretract`1`n`(Vector(Polynomial(Integer)))->%`cFortranVectorFunctionCategory``1067169
oretract`1`x`(%)->S`cRetractableTo(S)``1067291
oretract`1`x`(Any)->S`pAnyFunctions1(S)``1067426
oretract`1`x`(Polynomial(Fraction(Integer)))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1067588
oretract`1`x`(Polynomial(Integer))->%`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1067751
oretract`1`x`(Polynomial(R))->%`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1067914
oretractable?`1`n`(%)->Boolean`dAntiSymm(R,lVar)``1068077
oretractable?`1`n`(%)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``1068181
oretractable?`1`n`(%)->Boolean`dFreeMagma(VarSet)``1068306
oretractable?`1`n`(%)->Boolean`dLyndonWord(VarSet)``1068385
oretractable?`1`n`(%)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``1068464
oretractable?`1`x`(Any)->Boolean`pAnyFunctions1(S)``1068560
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(R,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialVariableCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Symbol,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(V,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(Expression(Float))->Union(%,"failed")`cFortranFunctionCategory``1068658
oretractIfCan`1`n`(Expression(Float))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1068785
oretractIfCan`1`n`(Expression(Integer))->Union(%,"failed")`cFortranFunctionCategory``1069125
oretractIfCan`1`n`(Expression(Integer))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1069252
oretractIfCan`1`n`(Expression(R))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1069592
oretractIfCan`1`n`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``1069932
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(%,"failed")`cFortranFunctionCategory``1069976
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1070103
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(%,"failed")`cFortranFunctionCategory``1070443
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1070570
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(%,"failed")`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1070910
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(%,"failed")`dJetBundleXExpression(JB)``1070998
oretractIfCan`1`n`(List(P))->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oretractIfCan`1`n`(Matrix(Expression(Float)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1071118
oretractIfCan`1`n`(Matrix(Expression(Integer)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1071245
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Float))))->Union(%,"failed")`cFortranMatrixFunctionCategory``1071372
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Integer))))->Union(%,"failed")`cFortranMatrixFunctionCategory``1071499
oretractIfCan`1`n`(Matrix(Polynomial(Float)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1071626
oretractIfCan`1`n`(Matrix(Polynomial(Integer)))->Union(%,"failed")`cFortranMatrixFunctionCategory``1071753
oretractIfCan`1`n`(Polynomial(Float))->Union(%,"failed")`cFortranFunctionCategory``1071880
oretractIfCan`1`n`(Polynomial(Float))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1072007
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(%,"failed")`cFortranFunctionCategory``1072347
oretractIfCan`1`n`(Polynomial(Integer))->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1072474
oretractIfCan`1`n`(Polynomial(Integer))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(R))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(%,"failed")`cRetractableFrom(S)``1072814
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Polynomial(R)),"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xIntegerNumberSystem&(S)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(JB,"failed")`xJetBundleFunctionCategory&(S,JB)``0
oretractIfCan`1`n`(S)->Union(K,"failed")`xExpressionSpace2&(S,K)``0
oretractIfCan`1`n`(S)->Union(K,"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(Polynomial(R),"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xFunctionSpace2&(S,R,K)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(ULS,"failed")`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretractIfCan`1`n`(S)->Union(UTS,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(V,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(VarSet,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(Symbol)->Union(%,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1072952
oretractIfCan`1`n`(Vector(Expression(Float)))->Union(%,"failed")`cFortranVectorFunctionCategory``1073226
oretractIfCan`1`n`(Vector(Expression(Integer)))->Union(%,"failed")`cFortranVectorFunctionCategory``1073353
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Float))))->Union(%,"failed")`cFortranVectorFunctionCategory``1073480
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Integer))))->Union(%,"failed")`cFortranVectorFunctionCategory``1073607
oretractIfCan`1`n`(Vector(Polynomial(Float)))->Union(%,"failed")`cFortranVectorFunctionCategory``1073734
oretractIfCan`1`n`(Vector(Polynomial(Integer)))->Union(%,"failed")`cFortranVectorFunctionCategory``1073861
oretractIfCan`1`x`(%)->Union(S,"failed")`cRetractableTo(S)``1073988
oretractIfCan`1`x`(Any)->Union(S,"failed")`pAnyFunctions1(S)``1074138
oretractIfCan`1`x`(Polynomial(Fraction(Integer)))->Union(%,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1074303
oretractIfCan`1`x`(Polynomial(Integer))->Union(%,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1074428
oretractIfCan`1`x`(Polynomial(R))->Union(%,"failed")`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1074553
oreturns`0`n`()->%`dFortranCode``1074678
oreturns`1`n`(Expression(Complex(Float)))->%`dFortranCode``1074758
oreturns`1`n`(Expression(Float))->%`dFortranCode``1074861
oreturns`1`n`(Expression(Integer))->%`dFortranCode``1074964
oreturns`1`n`(Expression(MachineComplex))->%`dFortranCode``1075067
oreturns`1`n`(Expression(MachineFloat))->%`dFortranCode``1075170
oreturns`1`n`(Expression(MachineInteger))->%`dFortranCode``1075273
oreturnType!`1`n`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1075376
oreturnType!`2`n`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1075501
oreturnType!`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),%)->Void`dTheSymbolTable``1075626
oreturnTypeOf`2`n`(Symbol,%)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``1075749
oreverse!`1`n`(%)->%`dListMonoidOps(S,E,un)``1075836
oreverse!`1`n`(A)->A`xListAggregate&(A,S)``0
oreverse!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oreverse!`1`x`(%)->%`cDequeueAggregate(S)``1075944
oreverse!`1`x`(%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(%,shallowlyMutable))`1076113
oreverse`1`n`(%)->%`dListMonoidOps(S,E,un)``1076192
oreverse`1`n`(A)->A`xLinearAggregate&(A,S)``0
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1076409
oreverse`1`x`(%)->%`cLinearAggregate(S)`has(%,finiteAggregate)`1076478
oreverse`1`x`(%)->%`cSegmentCategory(S)`has(S,OrderedRing)`1076562
oreverse`1`x`(%)->%`dCliffordAlgebra(n,K,bLin)``1076630
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1076736
orevert`1`n`(%)->%`dUnivariateFormalPowerSeries(Coef)``0
orevert`1`n`(%)->%`dUnivariateTaylorSeries(Coef,var,cen)``1076932
orevert`1`n`(Stream(A))->Stream(A)`dStreamTaylorSeriesOperations(A)``1077127
orewriteIdealWithHeadRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithHeadRemainder`2`x`(List(P),%)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1077314
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1077602
orewriteIdealWithRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithRemainder`2`x`(List(P),%)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1077977
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1078243
orewriteSetWithReduction`4`n`(List(P),S,(P,P)->P,(P,P)->Boolean)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
orewriteSetWithReduction`4`x`(List(P),%,(P,P)->P,(P,P)->Boolean)->List(P)`cTriangularSetCategory(R,E,V,P)``1078796
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`1079592
oRho`0`n`()->Symbol`pMathematicalSymbols``1079654
orho`0`n`()->Symbol`pMathematicalSymbols``1079719
orhs`1`n`(%)->S2`dSuchThat(S1,S2)``1079782
orhs`1`x`(%)->F`dRewriteRule(Base,R,F)``1079838
orhs`1`x`(%)->S`dEquation(S)``1079909
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1079984
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1080098
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1080212
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1080429
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1080594
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1080811
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1080976
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1081244
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``1081512
oriemannZeta`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1081561
oriemannZeta`1`x`(%)->%`cSpecialFunctionCategory``1081620
oriemannZeta`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``1081679
oright_ext_ext_GCD`2`n`(S,S)->Record(generator:S,coef1:S,coef2:S,coefu:S,coefv:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oright_ext_ext_GCD`2`x`(%,%)->Record(generator:%,coef1:%,coef2:%,coefu:%,coefv:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1081738
oright`1`n`(%)->%`dFreeMagma(VarSet)``1081955
oright`1`n`(%)->%`dLyndonWord(VarSet)``1082087
oright`1`n`(%)->%`dOutputForm``1082220
oright`1`x`(%)->%`cBinaryRecursiveAggregate(S)``1082289
oright`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1082337
oright`2`n`(%,Integer)->%`dOutputForm``1082412
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``1082500
orightAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``1082721
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``1082942
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``1083102
orightDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``1083469
orightDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`x`(Vector(%))->R`cFiniteRankNonAssociativeAlgebra(R)``1083836
orightDivide`2`x`(%,%)->Record(quotient:%,remainder:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1084144
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`1084350
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`x`(%,%)->Union(%,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1084601
orightExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExtendedGcd`2`x`(%,%)->Record(coef1:%,coef2:%,generator:%)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1084708
orightFactor`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1084823
orightFactorIfCan`3`x`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``1084976
orightFamily`1`n`(%)->List(OutputForm)`dFreeDivisionAlgebra(VAR,F)``1085262
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1085325
orightIdentity`1`n`(%)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1085564
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1085630
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`x`(%)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1085830
orightMinimization`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1086066
orightMult`2`n`(%,S)->%`dListMonoidOps(S,E,un)``1086238
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``1086363
orightOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Group)`1086463
orightOne`1`x`(%)->Union(%,"failed")`dEquation(S)`has(S,Monoid)`1086522
orightPower`2`n`(S,NonNegativeInteger)->S`xMagmaWithUnit&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMagma&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
orightPower`2`x`(%,NonNegativeInteger)->%`cMagmaWithUnit``1086581
orightPower`2`x`(%,PositiveInteger)->%`cMagma``1086770
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1086959
orightRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1087150
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`1087307
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``1087403
orightRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`1087642
orightRecip`1`n`(S)->Union(S,"failed")`xAIntervalCategory&(S,R)``0
orightRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRecip`1`n`(S)->Union(S,"failed")`xMagmaWithUnit&(S)``0
orightRecip`1`x`(%)->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1087881
orightRecip`1`x`(%)->Union(%,"failed")`cMagmaWithUnit``1088097
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`x`(%)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1088284
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`x`(%,Vector(%))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``1088458
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`x`(%,%)->%`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1088750
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``1088942
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`x`(%)->R`cFiniteRankNonAssociativeAlgebra(R)``1089135
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``1089230
orightTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1089514
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`x`(Vector(%))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``1089798
orightTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
orightTrim`2`x`(%,CharacterClass)->%`cStringAggregate``1090010
orightTrim`2`x`(%,S)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1090202
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`x`()->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1090382
orightUnits`0`n`()->Union(Record(particular:%,basis:List(%)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``1090507
orightUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnits`0`x`()->Union(Record(particular:%,basis:List(%)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1090630
orightZero`1`x`(%)->%`dEquation(S)`has(S,AbelianGroup)`1090754
orisch_de_ext`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX2(R,F)``1090813
orischNormalize`2`x`(F,List(Symbol))->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1091082
orischNormalize`2`x`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1091159
orischNormalize`2`x`(List(F),List(Symbol))->Record(funcs:List(F),kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1091443
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`x`(%,%)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``1091656
ork4`5`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1091874
ork4`9`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``1092500
ork4a`8`x`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1092754
ork4f`6`x`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1093084
ork4qc`14`x`(Vector(Float),Integer,Float,Record(to_try:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``1093573
ork4qc`7`x`(Vector(Float),Integer,Float,Record(to_try:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1094063
ormap`2`x`((Kernel(F))->F,F)->F`pElementaryFunctionStructurePackage(R,F)``1094525
oroman`1`x`(Integer)->%`dRomanNumeral``1094633
oroman`1`x`(Symbol)->%`dRomanNumeral``1094694
oromberg`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1094762
orombergo`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1095426
oroot?`1`n`(%)->Boolean`dSubSpace(n,R)``1096094
oroot`1`n`(%)->%`dOutputForm``1096131
oroot`2`n`(%,%)->%`dOutputForm``1096206
oroot`2`x`(SparseUnivariatePolynomial(Integer),Integer)->%`cPAdicIntegerCategory(p)``1096288
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1096417
orootFactor`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(R,UniqueFactorizationDomain),has(F,FunctionSpace(R)))`1096514
orootKerSimp`3`x`(BasicOperator,F,NonNegativeInteger)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1096752
orootNormalize`2`x`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``1096821
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`x`(%)->%`cAlgebraicallyClosedFunctionSpace(R)``1097024
orootOf`1`x`(Polynomial(%))->%`cAlgebraicallyClosedField``1097148
orootOf`1`x`(SparseUnivariatePolynomial(%))->%`cAlgebraicallyClosedField``1097272
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1097340
orootOf`2`n`(SparseUnivariatePolynomial(S),PositiveInteger)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(ThePols,PositiveInteger)->Union(S,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orootOf`2`x`(%,Symbol)->%`cAlgebraicallyClosedFunctionSpace(R)``1097454
orootOf`2`x`(SparseUnivariatePolynomial(%),PositiveInteger)->Union(%,"failed")`cRealClosedField``1097568
orootOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->%`cAlgebraicallyClosedField``1097678
orootOf`2`x`(ThePols,PositiveInteger)->Union(%,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1097792
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`x`(SparseUnivariatePolynomial(%),PositiveInteger,OutputForm)->Union(%,"failed")`cRealClosedField``1097881
orootOfIrreduciblePoly`1`x`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``1097997
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``1098241
orootPower`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1098406
orootProduct`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1098562
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``1098789
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``1099000
orootSimp`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1099124
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`x`(%)->List(%)`cAlgebraicallyClosedFunctionSpace(R)``1099351
orootsOf`1`x`(Polynomial(%))->List(%)`cAlgebraicallyClosedField``1099632
orootsOf`1`x`(SparseUnivariatePolynomial(%))->List(%)`cAlgebraicallyClosedField``1099910
orootsOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`x`(%,Symbol)->List(%)`cAlgebraicallyClosedFunctionSpace(R)``1100132
orootsOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->List(%)`cAlgebraicallyClosedField``1100372
orootSplit`1`x`(F)->F`pAlgebraicManipulations(R,F)``1100612
orootSum`3`n`(F,SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1100839
orootSum`3`x`(%,SparseUnivariatePolynomial(%),Symbol)->%`cAlgebraicallyClosedFunctionSpace(R)``0
orotate!`1`x`(%)->%`cQueueAggregate(S)``1100873
orotate`3`x`(%,Float,Float)->Void`dThreeDimensionalViewport``1101069
orotate`3`x`(%,Integer,Integer)->Void`dThreeDimensionalViewport``1101306
orotatex`1`x`(R)->%`dDenavitHartenbergMatrix(R)``1101662
orotatey`1`x`(R)->%`dDenavitHartenbergMatrix(R)``1101760
orotatez`1`x`(R)->%`dDenavitHartenbergMatrix(R)``1101858
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1101956
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``1102112
oroughEqualIdeals?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughEqualIdeals?`2`x`(%,%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1102228
oroughSubIdeal?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughSubIdeal?`2`x`(%,%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1102421
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1102632
oround`1`n`(Record(mantissa:Integer,exponent:Integer))->Integer`pFloatElementaryFunctions``1102764
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`x`(%)->%`cRealNumberSystem``1102824
orouteArrows`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1102888
orouteArrows`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
orouteArrows`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
orouteArrowWeight`2`n`(%,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1103091
orouteNodes`3`n`(%,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1103198
orouteNodes`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
orouteNodes`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
orouteNodeWeight`2`n`(%,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1103399
orow_operation_base`6`n`(M,Integer,Integer,Integer,Integer,R)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1103505
orow_operation_modular`7`n`(M,Integer,Integer,Integer,Integer,R,Integer)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1103571
orow`2`n`(%,Integer)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``1103640
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`x`(%,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``1103723
orow`2`x`(%,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``1103847
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``1103964
orowEchelon`1`n`(%)->Record(Ech:%,Lt:Matrix(D),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)``1104069
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1104369
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``1104450
orowEchelon`1`n`(Matrix(LO))->Matrix(LO)`pOrePolynomialMatrixOperations(F,LO)``1104583
orowEchelon`1`x`(%)->%`cMatrixOperationsCategory(R,Row,Col)`has(R,EuclideanDomain)`1104664
orowEchelon`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`1104745
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1104826
orowEchelon`3`n`(Matrix(LO),F,List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pOrePolynomialMatrixOperations(F,LO)``1105117
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``1105333
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1105519
orowMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``1105683
orows`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1105791
orows`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1105884
orowSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orowSlice`1`x`(%)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``1105977
orowSpan`1`n`(%)->Stream(Matrix(XDistributedPolynomial(VAR,F)))`dFreeDivisionAlgebra(VAR,F)``1106123
orquo`2`n`(%,%)->Union(%,"failed")`dFreeMonoid(S)``1106276
orquo`2`n`(%,S)->Union(%,"failed")`dFreeMonoid(S)``1106467
orquo`2`x`(%,%)->%`cXFreeAlgebra(vl,R)``1106550
orquo`2`x`(%,FreeMonoid(vl))->%`cXFreeAlgebra(vl,R)``1106639
orquo`2`x`(%,vl)->%`cXFreeAlgebra(vl,R)``1106722
orquo`2`x`(XRecursivePolynomial(VarSet,R),%)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``1106818
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1106901
orsimp`1`n`(Expression(Integer))->Union(Expression(Integer),"failed")`pRootSimplification``1106992
orsimp1`2`n`(Expression(Integer),Integer)->Union(Expression(Integer),"failed")`pRootSimplification``1107131
orspace`2`n`(Integer,Integer)->%`dOutputForm``1107333
orst`1`x`(%)->%`cLazyStreamAggregate(S)``1107425
orubiksGroup`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``1107618
orule`2`x`(F,F)->%`dRewriteRule(Base,R,F)``1110041
orule`3`x`(F,F,List(Symbol))->%`dRewriteRule(Base,R,F)``1110180
orules`1`x`(%)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``1110550
oruleset`1`x`(List(RewriteRule(Base,R,F)))->%`dRuleset(Base,R,F)``1110614
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1110694
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1110757
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``1111855
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1112327
oS`0`n`()->%`dSKICombinators(UT)``1112476
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1112516
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1112651
osafety`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``1112802
osafety`1`x`(NonNegativeInteger)->%`dGuessOption``1112869
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1113023
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1113178
osameFace?`2`n`(%,%)->Boolean`dCubicalFacet``1113377
osameFace?`2`n`(%,%)->Boolean`dOrientedFacet``1113464
osample`0`n`()->S`xAbelianMonoid&(S)``0
osample`0`n`()->S`xAggregate&(S)``0
osample`0`n`()->S`xAIntervalCategory&(S,R)``0
osample`0`n`()->S`xMagmaWithUnit&(S)``0
osample`0`x`()->%`cAbelianMonoid``1113550
osample`0`x`()->%`cAggregate``1113597
osample`0`x`()->%`cMagmaWithUnit``1113644
osample`0`x`()->%`dCartesianTensor(minix,dim,R)``1113691
osample`0`x`()->%`dSymbol``1113744
osamplePoint`1`n`(%)->List(TheField)`dCell(TheField)``1113790
osamplePoint`1`n`(%)->TheField`dSimpleCell(TheField,ThePols)``1113856
osatisfy?`2`n`(%,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``1113922
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``1114150
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``1114260
osaturate`2`x`(%,DPoly)->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1114395
osaturate`3`x`(%,DPoly,List(VarSet))->%`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1114541
osave`0`n`()->%`dFortranCode``1114706
osay`1`x`(List(String))->Void`pDisplayPackage``1114773
osay`1`x`(String)->Void`pDisplayPackage``1114838
osayLength`1`x`(List(String))->Integer`pDisplayPackage``1114894
osayLength`1`x`(String)->Integer`pDisplayPackage``1114985
oscalar?`1`n`(%)->Boolean`dFreeDivisionAlgebra(VAR,F)``1115067
oscalar?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1115112
oscalarMatrix`1`x`(R)->%`cSquareMatrixCategory(ndim,R,Row,Col)``1115175
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`x`(NonNegativeInteger,R)->%`cMatrixCategory(R,Row,Col)``1115305
oscalarTypeOf`1`n`(%)->Union(fst:FortranScalarType,void:"void")`dFortranType``1115438
oscale`1`n`(F)->%`dMoebiusTransform(F)``1115510
oscale`2`n`(%,F)->%`dMoebiusTransform(F)``1115612
oscale`3`x`(R,R,R)->%`dDenavitHartenbergMatrix(R)``1115711
oscale`4`n`(%,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1115824
oscaleALS`2`n`(%,F)->%`dFreeDivisionAlgebra(VAR,F)``1116132
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1116238
oscan`3`x`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``1116340
oscan`3`x`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``1116564
oscan`3`x`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``1116955
oscan`3`x`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``1117252
oscan`3`x`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``1117543
oscan`3`x`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``1117767
oscan`3`x`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``1118056
oscan`3`x`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``1118346
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``1118513
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``1118598
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``1118792
oscanOneDimSubspaces`2`x`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`1118920
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``1119584
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``1119666
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``1119773
oscreenCoords`1`n`(%)->List(DoubleFloat)`cSPointCategory``1120029
oscreenCoordX`1`n`(%)->DoubleFloat`cSPointCategory``1120098
oscreenCoordY`1`n`(%)->DoubleFloat`cSPointCategory``1120186
oscreenCoordZ`1`n`(%)->DoubleFloat`cSPointCategory``1120274
oscreenResolution`0`n`()->Integer`dPlot``1120364
oscreenResolution`0`x`()->Integer`pGraphicsDefaults``1120427
oscreenResolution`1`x`(Integer)->Integer`pGraphicsDefaults``1120500
oscreenResolution3D`0`n`()->Integer`dPlot3D``1120574
oscript`2`x`(%,List(List(OutputForm)))->%`dSymbol``1120655
oscript`2`x`(%,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->%`dSymbol``1120975
oscripted?`1`x`(%)->Boolean`dSymbol``1121158
oscripts`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1121240
oscripts`1`x`(%)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``1121608
oscripts`2`n`(%,List(%))->%`dOutputForm``1121670
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``1121884
osearch_constructors`2`n`(String,Symbol)->Union(Record(categories:List(Symbol),domains:List(Symbol),packages:List(Symbol)),ErrorIndicator)`pBrowserInformation``1121943
osearch_documentation`1`n`(String)->Union(Record(con_info:Record(categories:List(Symbol),domains:List(Symbol),packages:List(Symbol)),op_info:List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))),ErrorIndicator)`pBrowserInformation``1122183
osearch_general`1`n`(String)->Union(Record(con_info:Record(categories:List(Symbol),domains:List(Symbol),packages:List(Symbol)),op_info:List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))),ErrorIndicator)`pBrowserInformation``1122307
osearch_operations_libdb`1`n`(String)->Union(List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))),ErrorIndicator)`pBrowserInformation``1122409
osearch_operations`1`n`(String)->Union(List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))),ErrorIndicator)`pBrowserInformation``1122625
osearch_opl`2`n`(String,List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))))->Union(List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))),ErrorIndicator)`pBrowserInformation``1122713
osearch`2`x`(Key,%)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1122808
osec`1`n`(F)->F`pElementaryFunction(R,F)``1123008
osec`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
osec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1123069
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1123136
osec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1123203
osec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1123271
osec`1`x`(%)->%`cTrigonometricFunctionCategory``1123341
osec2cos`1`x`(F)->F`pTranscendentalManipulations(R,F)``1123394
osech`1`n`(F)->F`pElementaryFunction(R,F)``1123492
osech`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1123565
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1123648
osech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1123731
osech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1123811
osech`1`x`(%)->%`cHyperbolicFunctionCategory``1123893
osech2cosh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1123958
osechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1124060
osecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1124147
osecond`1`n`(%)->B`dProduct(A,B)``1124232
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`x`(%)->S`cUnaryRecursiveAggregate(S)``1124296
oseed`0`x`()->Integer`pRandomNumberSource``1124401
oseedRandom`0`x`()->Void`dInteger``1124454
oSEGMENT`1`n`(%)->%`dOutputForm``1124709
osegment`1`x`(%)->Segment(S)`dSegmentBinding(S)``1124771
oSEGMENT`1`x`(S)->%`dUniversalSegment(S)``1124971
osegment`1`x`(S)->%`dUniversalSegment(S)``1125053
oSEGMENT`2`n`(%,%)->%`dOutputForm``1125135
oSEGMENT`2`x`(S,S)->%`cSegmentCategory(S)``1125200
osegment`2`x`(S,S)->%`cSegmentCategory(S)``1125282
oselect!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oselect!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oselect!`2`x`((S)->Boolean,%)->%`cDictionaryOperations(S)`has(%,finiteAggregate)`1125365
oselect!`2`x`((S)->Boolean,%)->%`cExtensibleLinearAggregate(S)``1125510
oselect`2`n`((P)->Boolean,S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oselect`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oselect`2`n`(%,NonNegativeInteger)->S`dTuple(S)``1125624
oselect`2`n`(S,V)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`x`((S)->Boolean,%)->%`cCollection(S)`has(%,finiteAggregate)`1125721
oselect`2`x`((S)->Boolean,%)->%`cLazyStreamAggregate(S)``1125890
oselect`2`x`((S)->Boolean,%)->%`dInfiniteTuple(S)``1126065
oselect`2`x`(%,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``1126130
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1126234
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1126479
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1126722
osemicolonSeparate`1`n`(List(%))->%`dOutputForm``1126923
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1127026
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``1127233
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1127384
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1127585
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1127781
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1127892
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1128043
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1128200
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1128409
osendGraphImage`1`n`(%)->Void`dGraphImage``1128658
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`x`(%)->%`cDifferentialPolynomialCategory(R,S,V,E)``1128937
oseparate_factors`2`n`(List(()->List(PrimitiveArray(PrimeField(p)))),Integer)->List(UP)`pGaloisGroupFactorizerSeparate(p,UP)``0
oseparate`1`n`(%)->List(%)`dSubSpace(n,R)``1129062
oseparate`1`n`(Fraction(UP))->Record(polyPart:%,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`1129224
oseparate`2`n`(S,S)->Record(primePart:S,commonPart:S)`xUnivariatePolynomialCategory&(S,R)``0
oseparate`2`x`(%,%)->Record(primePart:%,commonPart:%)`cUnivariatePolynomialCategory(R)`has(R,GcdDomain)`1129264
osequence`1`n`(Stream(R))->%`cSequenceCategory(R)``1129427
osequence`2`n`((R)->R,R)->%`cSequenceCategory(R)``1129495
osequences`1`x`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1129647
osequences`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1129847
oserialize`1`n`(None)->None`pFileSerialization``1130201
oseries`1`n`(Stream(Coef))->%`dInnerTaylorSeries(Coef)``1130287
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->%`dInnerSparseUnivariatePowerSeries(Coef)``1130713
oseries`1`n`(Stream(SMP))->%`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``1130910
oseries`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1130983
oseries`1`x`(Stream(Coef))->%`cUnivariateTaylorSeriesCategory(Coef)``1131164
oseries`1`x`(Stream(Record(k:Integer,c:Coef)))->%`cUnivariateLaurentSeriesCategory(Coef)``1131258
oseries`1`x`(Stream(Record(k:NonNegativeInteger,c:Coef)))->%`cUnivariateTaylorSeriesCategory(Coef)``1131455
oseries`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1131652
oseries`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)``1131713
oseries`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1131796
oseries`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1131900
oseries`2`x`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->%`cUnivariatePuiseuxSeriesCategory(Coef)``1132141
oseries`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``1132451
oseries`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1132636
oseries`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1132716
oseries`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
oseries`4`n`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)``1132877
oseries`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1133103
oseries`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
oseries`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
oseries`5`n`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`1133278
oseries`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Fraction(Integer))))`0
oseriesSolve`2`n`((UTSSMPF)->UTSSMPF,List(F))->UTSF`pTaylorSolve(F,UTSF,UTSSMPF)``1133498
oseriesSolve`4`n`(F,BasicOperator,Symbol,List(F))->UTSF`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1133630
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1133867
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1133966
oseriesSolve`4`x`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1134350
oseriesSolve`4`x`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1134459
oseriesSolve`4`x`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1134566
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1134695
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1135074
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1135257
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1135460
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``1135631
oset_output_mode`2`x`(String,Integer)->Void`dFloat``1135731
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`x`()->%`cSetAggregate(S)``1135817
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`x`(List(S))->%`cSetAggregate(S)``1135896
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``1136006
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``1136119
osetchildren!`2`n`(A,List(A))->A`xBinaryRecursiveAggregate&(A,S)``0
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`x`(%,List(%))->%`cRecursiveAggregate(S)`has(%,shallowlyMutable)`1136238
osetClipValue`1`x`(DoubleFloat)->DoubleFloat`pDrawComplex``1136371
osetClosed`2`n`(%,Boolean)->Boolean`dTubePlot(Curve)``1136494
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`x`(%,Integer,Col)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1136663
osetCondition!`2`n`(%,C)->%`dSplittingNode(V,C)``1136747
osetDefault!`2`n`((String)->OutputBox,(String)->OutputBox)->Record(prolog:(String)->OutputBox,epilog:(String)->OutputBox)`dFormatter(F)``1136891
osetDialect`1`n`(Symbol)->Symbol`dTexFormat``1137048
osetDifference`2`x`(%,%)->%`dList(S)`has(S,BasicType)`1137263
osetelt!`2`n`(%,S)->S`dReference(S)``1137435
osetelt!`3`n`(%,NonNegativeInteger,F)->F`dFreeDivisionAlgebra(VAR,F)``1137517
osetelt!`3`n`(A,"first",S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"first",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"last",S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"last",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"left",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"rest",A)->A`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"rest",A)->A`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"right",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xBinaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,"value",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt!`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt!`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`n`(A,UniversalSegment(Integer),S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt!`3`n`(A,UniversalSegment(Integer),S)->S`xStreamAggregate&(A,S)``0
osetelt!`3`x`(%,"first",S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1137608
osetelt!`3`x`(%,"last",S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1137722
osetelt!`3`x`(%,"left",%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1137833
osetelt!`3`x`(%,"rest",%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1137943
osetelt!`3`x`(%,"right",%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1138054
osetelt!`3`x`(%,"value",S)->S`cRecursiveAggregate(S)`has(%,shallowlyMutable)`1138167
osetelt!`3`x`(%,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(%,shallowlyMutable)`1138279
osetelt!`3`x`(%,Key,Entry)->Entry`cTableAggregate(Key,Entry)``1138463
osetelt!`3`x`(%,Symbol,Any)->Any`dLibrary``1138574
osetelt!`3`x`(%,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(%,shallowlyMutable)`1138701
osetelt!`4`n`(%,Integer,C,D)->Void`dSparseEchelonMatrix(C,D)``1138991
osetelt!`4`n`(%,NonNegativeInteger,NonNegativeInteger,List(R))->List(R)`dLinearMultivariateMatrixPencil(R)``1139140
osetelt!`4`n`(%,NonNegativeInteger,NonNegativeInteger,XDistributedPolynomial(VAR,F))->XDistributedPolynomial(VAR,F)`dFreeDivisionAlgebra(VAR,F)``1139300
osetelt!`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`x`(%,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1139482
osetelt!`4`x`(%,Integer,List(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1139658
osetelt!`4`x`(%,Integer,List(Segment(Integer)),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1139778
osetelt!`4`x`(%,List(Integer),Integer,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1139986
osetelt!`4`x`(%,List(Integer),List(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1140106
osetelt!`4`x`(%,List(Integer),Segment(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1140419
osetelt!`4`x`(%,List(Segment(Integer)),Integer,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1140553
osetelt!`4`x`(%,List(Segment(Integer)),List(Segment(Integer)),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1140761
osetelt!`4`x`(%,List(Segment(Integer)),Segment(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1140961
osetelt!`4`x`(%,Segment(Integer),List(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1141160
osetelt!`4`x`(%,Segment(Integer),List(Segment(Integer)),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1141294
osetelt!`4`x`(%,Segment(Integer),Segment(Integer),%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1141493
osetelt!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dLinearMultivariateMatrixPencil(R)``1141635
osetelt!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dThreeDimensionalMatrix(R)``1141772
osetEmpty!`1`n`(%)->%`dSplittingNode(V,C)``1141937
osetEpilogue!`2`n`(%,List(String))->List(String)`dTexFormat``1142005
osetEpilogue!`2`n`(%,OutputBox)->OutputBox`dFormatter(F)``1142105
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``1142229
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``1142521
osetfirst!`2`x`(%,S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1142708
osetFormat!`1`n`(Type)->Void`pJFriCASSupport``1142831
osetFormat!`2`n`(%,OutputBox)->OutputBox`dFormatter(F)``1142890
osetFormats!`1`n`(List(OutputFormatterCategory))->Void`dFormattedOutput``1143000
osetFormats!`1`n`(List(Type))->Void`pJFriCASSupport``1143111
osetGcdMode`1`n`(Symbol)->Symbol`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`1143379
osetHandler!`4`n`(%,Integer,String,HANDLER)->HANDLER`dOperatorHandlers(HANDLER)``1143561
osetImagSteps`1`x`(Integer)->Integer`pDrawComplex``1143691
osetIntersection`2`x`(%,%)->%`dList(S)`has(S,BasicType)`1143842
osetLabelValue`1`n`(SingleInteger)->SingleInteger`dFortranCode``1144022
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`x`(%,S)->S`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1144106
osetleaves!`2`x`(%,List(S))->%`dBalancedBinaryTree(S)``1144227
osetleft!`2`x`(%,%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1144340
osetMaxPoints`1`n`(Integer)->Integer`dPlot``1144417
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``1144503
osetMinPoints`1`n`(Integer)->Integer`dPlot``1144592
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``1144678
osetMode`2`x`(String,Boolean)->Boolean`dCliffordAlgebra(n,K,bLin)``1144767
osetMult!`2`n`(%,Integer)->%`dOrientedFacet``1144863
osetMult!`2`n`(%,Integer)->%`dProductFacet``1144894
osetMult`2`n`(%,Integer)->%`dCubicalFacet``1144925
osetnext!`2`x`(%,%)->%`cDoublyLinkedAggregate(S)`has(%,shallowlyMutable)`1144956
osetNotation`1`n`(Symbol)->Symbol`cJetBundleCategory``1145087
osetNotation`1`n`(Symbol)->Void`cJetBundleFunctionCategory(JB)``0
osetNotation`1`n`(Symbol)->Void`xJetBundleFunctionCategory&(S,JB)``0
osetOfMinN`1`n`(List(PositiveInteger))->%`dSetOfMIntegersInOneToN(m,n)``1145182
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``1145345
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``1145704
osetOutMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1146134
osetPoly`1`n`(Rep)->Rep`dModMonic(R,Rep)``1146661
osetPosition`2`x`(%,NonNegativeInteger)->Void`cCachableSet``1146726
osetPredicates`2`n`(%,List(Any))->%`dPattern(R)``1146803
osetprevious!`2`x`(%,%)->%`cDoublyLinkedAggregate(S)`has(%,shallowlyMutable)`1146917
osetPrologue!`2`n`(%,List(String))->List(String)`dTexFormat``1147056
osetPrologue!`2`n`(%,OutputBox)->OutputBox`dFormatter(F)``1147156
osetProperties`2`x`(%,AssociationList(Symbol,None))->%`dBasicOperator``1147280
osetProperty`3`x`(%,Symbol,None)->%`dBasicOperator``1147442
osetRealSteps`1`x`(Integer)->Integer`pDrawComplex``1147629
osetRedMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1147775
osetref`2`n`(%,S)->S`dReference(S)``1148069
osetRefined!`2`n`(%,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1148126
osetrest!`2`x`(%,%)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1148267
osetrest!`3`x`(%,Integer,%)->%`dStream(S)``1148380
osetright!`2`x`(%,%)->%`cBinaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1148501
osetRow!`3`n`(%,Integer,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``1148580
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`x`(%,Integer,Row)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1148696
osetRow!`4`n`(%,Integer,List(C),List(D))->Void`dSparseEchelonMatrix(C,D)``1148774
osetScreenResolution`1`n`(Integer)->Integer`dPlot``1148920
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``1148996
osetSimplifyDenomsFlag`1`x`(Boolean)->Boolean`dExpression(R)`has(R,IntegralDomain)`1149090
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``1149280
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1149560
osetStatus!`2`n`(%,Boolean)->%`dSplittingNode(V,C)``1149677
osetStatus`2`n`(%,Union(Boolean,"failed"))->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1149815
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`x`(%,Integer,Integer,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1150153
osetsubMatrix!`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,Matrix(R))->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1150365
osetsubPencil!`4`n`(%,NonNegativeInteger,NonNegativeInteger,%)->%`dLinearMultivariateMatrixPencil(R)``1150496
osetTex!`2`n`(%,List(String))->List(String)`dTexFormat``1150636
osetTopPredicate`3`n`(%,List(Symbol),Any)->%`dPattern(R)``1150726
osetTransform!`2`n`(%,STransform(PT))->Void`dScene(PT)``1150853
osetUnion`2`x`(%,%)->%`dList(S)`has(S,BasicType)`1150949
osetValue!`2`n`(%,V)->%`dSplittingNode(V,C)``1151116
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetvalue!`2`x`(%,S)->S`cRecursiveAggregate(S)`has(%,shallowlyMutable)`1151252
osetVariableOrder`1`x`(List(Symbol))->Void`pUserDefinedVariableOrdering``1151327
osetVariableOrder`2`x`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``1151464
oSFunction`1`x`(List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1151644
osh`2`x`(%,%)->%`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1151805
osh`2`x`(%,NonNegativeInteger)->%`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1151933
oshade`1`n`(Point(R))->R`pPointPackage(R)``1152011
oshade`1`x`(%)->Integer`dPalette``1152334
oshallowCopy`1`n`(%)->%`dSubSpace(n,R)``1152416
oshallowExpand`1`x`(%)->OutputForm`dFreeNilpotentLie(n,class,R)``1152459
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``1152569
oshellSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1152845
oShi`1`n`(F)->F`pLiouvillianFunction(R,F)``1152968
oShi`1`x`(%)->%`cLiouvillianFunctionCategory``1153026
oShi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``1153154
oShi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oShi`1`x`(Float)->Float`pFloatLiouvilianFunctions``1153212
oshift_mat!`3`n`(MMT,Integer,Integer)->Void`cModularFactorizationOperations(PA,MMT,MD,PMD)``1153270
oshift_mat!`4`n`(U32Matrix,Integer,Integer,Integer)->Void`pModularU32MatrixOperations``1153491
oshift`1`n`(F)->%`dMoebiusTransform(F)``1153662
oshift`2`n`(%,F)->%`dMoebiusTransform(F)``1153764
oshift`2`x`(%,%)->%`cIntegerNumberSystem``1153863
oshift`2`x`(%,Integer)->%`dFloat``1153924
oshift`2`x`(%,Integer)->%`dNonNegativeInteger``1153999
oShiftAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``1154058
oShiftC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``1154283
oshiftHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
oshiftHP`1`n`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``1154585
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`1154694
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oshiftLeft`1`n`(List(T))->List(T)`pListPackage(T)``1154867
oshiftLeft`2`x`(%,NonNegativeInteger)->%`cUnivariatePolynomialCategory(R)``1154973
oshiftRight`2`x`(%,NonNegativeInteger)->%`cUnivariatePolynomialCategory(R)`has(R,Ring)`1155037
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1155123
oshow`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``1155238
oshowAll?`0`x`()->Boolean`dStream(S)`has(S,SetCategory)`1155479
oshowAllElements`1`x`(%)->OutputForm`dStream(S)`has(S,SetCategory)`1155578
oshowArrayValues`1`n`(Boolean)->Boolean`dResult``1155672
oshowClipRegion`2`x`(%,String)->Void`dThreeDimensionalViewport``1155806
oshowElements`2`x`(NonNegativeInteger,%)->OutputForm`dStream(S)`has(S,SetCategory)`1156051
oshowFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``1156159
oshowRegion`2`x`(%,String)->Void`dThreeDimensionalViewport``1156231
oshowScalarValues`1`n`(Boolean)->Boolean`dResult``1156466
oshowTheSymbolTable`0`n`()->%`dTheSymbolTable``1156602
oshowTypeInOutput`1`x`(Boolean)->String`dAny``1156671
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``1156942
oshrinkable`1`x`(Boolean)->Boolean`dFlexibleArray(S)``0
oshuffle`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1157062
oshufflein`2`x`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``1157270
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``1157409
oSi`1`x`(%)->%`cLiouvillianFunctionCategory``1157462
oSi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``1157584
oSi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oSi`1`x`(Float)->Float`pFloatLiouvilianFunctions``1157637
osierpinskiDivide`2`n`(%,NonNegativeInteger)->%`dSceneIFS(PT)``1157690
oSigma`0`n`()->Symbol`pMathematicalSymbols``1157868
osigma`0`n`()->Symbol`pMathematicalSymbols``1157937
osign`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1158004
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``1158056
osign`1`n`(S)->Integer`xOrderedAbelianGroup&(S)``0
osign`1`x`(%)->%`cSpecialFunctionCategory``1158092
osign`1`x`(%)->Integer`cOrderedAbelianGroup``1158144
osign`1`x`(%)->Integer`dPermutation(S)``1158255
osign`1`x`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1158349
osign`1`x`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``1158585
osign`2`x`(ThePols,%)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``1158665
osign`3`x`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1158753
osign`3`x`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``1158877
osign`4`x`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1159006
osign`4`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``1159160
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1159378
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1159426
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1159474
osimp_ops_conditions`3`n`(List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String)))),SExpression,SExpression)->List(Record(name:Symbol,sdl:List(Record(signature:SExpression,condition:SExpression,origin:SExpression,documentation:String))))`pBrowserInformation``1159525
osimpleCells`1`n`(%)->List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)))`dCell(TheField)``1159693
osimplicialComplex`1`n`(List(VS))->%`dFiniteSimplicialComplex(VS)``1159825
osimplicialComplex`2`n`(List(VS),List(List(NonNegativeInteger)))->%`dFiniteSimplicialComplex(VS)``1159856
osimplicialComplex`3`n`(List(VS),NonNegativeInteger,List(List(NonNegativeInteger)))->%`dFiniteSimplicialComplex(VS)``1159908
osimplicialComplexIfCan`1`n`(DeltaComplex(VS))->Union(%,"failed")`dFiniteSimplicialComplex(VS)``1159960
osimplicialComplexIfCan`2`n`(DeltaComplex(VS),Boolean)->Union(%,"failed")`dFiniteSimplicialComplex(VS)``1160137
osimplicialJoin`3`n`(%,%,Boolean)->%`dFiniteSimplicialComplex(VS)``1160325
osimplify`1`n`(%)->%`dGroupPresentation``1160717
osimplify`1`n`(%)->%`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,PolynomialFactorizationExplicit))`1161249
osimplify`1`n`(%)->Record(SDe:%,IC:List(D))`dJetDifferentialEquation(JB,D)``1161549
osimplify`1`x`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``1161738
osimplify`1`x`(F)->F`pTranscendentalManipulations(R,F)``1161802
osimplify`2`n`(%,Boolean)->%`dGroupPresentation``1162264
osimplify`2`n`(List(%),SparseEchelonMatrix(JB,%))->Record(Sys:List(%),JM:SparseEchelonMatrix(JB,%),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1162301
osimplify`2`n`(List(S),SparseEchelonMatrix(JB,S))->Record(Sys:List(S),JM:SparseEchelonMatrix(JB,S),Depend:Union("failed",List(List(NonNegativeInteger))))`xJetBundleFunctionCategory&(S,JB)``0
osimplifyCoeffs`2`n`(Record(ncurve:UPUP,n_div_numer:Vector(UPUP),n_div_denom:UPUP,need_change:Boolean),List(Kernel(F)))->NonNegativeInteger`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)`AND(has(R0,CharacteristicZero),has(F,AlgebraicallyClosedField))`1162744
osimplifyExp`1`x`(F)->F`pTranscendentalManipulations(R,F)``1162813
osimplifyLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``1163142
osimpMod`2`n`(List(%),List(%))->List(%)`cJetBundleFunctionCategory(JB)``1163351
osimpMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
osimpMod`3`n`(List(%),SparseEchelonMatrix(JB,%),List(%))->Record(Sys:List(%),JM:SparseEchelonMatrix(JB,%),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1163450
osimpMod`3`n`(List(S),SparseEchelonMatrix(JB,S),List(S))->Record(Sys:List(S),JM:SparseEchelonMatrix(JB,S),Depend:Union("failed",List(List(NonNegativeInteger))))`xJetBundleFunctionCategory&(S,JB)``0
osimpOne`1`n`(%)->%`cJetBundleFunctionCategory(JB)``1163598
osimpOne`1`n`(S)->S`xJetBundleFunctionCategory&(S,JB)``0
osimpson`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1163689
osimpsono`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1164353
osin?`1`n`(%)->Boolean`dFourierComponent(E)``1165021
osin`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1165104
osin`1`n`(E)->%`dFourierComponent(E)``1165171
osin`1`n`(F)->F`pElementaryFunction(R,F)``1165237
osin`1`n`(S)->S`xComplexCategory&(S,R)``0
osin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1165296
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1165361
osin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1165426
osin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1165492
osin`1`x`(%)->%`cTrigonometricFunctionCategory``1165560
osin2csc`1`x`(F)->F`pTranscendentalManipulations(R,F)``1165611
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1165709
osingleFace`1`n`(List(PT))->%`dSceneIFS(PT)``1165811
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1165908
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1166094
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``1166348
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``1166809
osingular?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1167368
osingular?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1167435
osingularAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1167505
osinh`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1167586
osinh`1`n`(F)->F`pElementaryFunction(R,F)``1167655
osinh`1`n`(S)->S`xComplexCategory&(S,R)``0
osinh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1167726
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1167807
osinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1167888
osinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1167966
osinh`1`x`(%)->%`cHyperbolicFunctionCategory``1168046
osinh2csch`1`x`(F)->F`pTranscendentalManipulations(R,F)``1168109
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1168211
osinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1168326
osinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1168413
osipnt`2`n`(Integer,Integer)->%`cSPointCategory``1168498
osipnt`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osipnt`3`n`(Integer,Integer,Integer)->%`cSPointCategory``1168588
osipnt`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osivec`2`n`(Integer,Integer)->%`cSPointCategory``1168691
osivec`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osivec`3`n`(Integer,Integer,Integer)->%`cSPointCategory``1168782
osivec`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osize?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
osize?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osize?`2`x`(%,NonNegativeInteger)->Boolean`cAggregate``1168886
osize`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
osize`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
osize`0`n`()->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
osize`0`n`()->NonNegativeInteger`xFramedModule&(S,R)``0
osize`0`n`()->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osize`0`x`()->Integer`pRandomNumberSource``1168961
osize`0`x`()->NonNegativeInteger`cFinite``1169025
osize`1`n`(%)->NonNegativeInteger`dFreeGroup(S)``1169089
osize`1`n`(%)->NonNegativeInteger`dFreeMonoid(S)``1169156
osize`1`n`(%)->NonNegativeInteger`dListMonoidOps(S,E,un)``1169223
osize`1`x`(%)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1169295
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`x`(%,%)->Boolean`cEuclideanDomain``1169337
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``1169551
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``1169731
osizeMultiplication`0`x`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``1169911
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``1170091
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1170194
oskewSFunction`2`x`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1170290
oski`1`n`(UT)->%`dSKICombinators(UT)``1170479
oski`2`n`(%,%)->%`dSKICombinators(UT)``1170517
oslash`2`n`(%,%)->%`dOutputForm``1170570
oslash`3`n`(Integer,(Integer,List(OutputForm))->OutputBox,(Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1170666
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``1170919
osmaller?`2`n`(%,%)->Boolean`cComparable``1171111
osmaller?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xFreeModuleCategory&(A,R,S)``0
osmaller?`2`n`(A,A)->Boolean`xListAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
osmaller?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
osmaller?`2`n`(S,S)->Boolean`xFinite&(S)``0
osmaller?`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
osmaller?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
osmaller?`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osmesh`2`n`(List(List(PT)),Boolean)->%`dSceneIFS(PT)``1171195
osmith`1`n`(Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1171306
osmith`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``1171368
osmith`2`n`(Matrix(Integer),(Matrix(Integer))->Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1171445
osn2`2`x`(Complex(Float),List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``1171588
osn2`2`x`(Float,List(Float))->Float`pFloatEllipticFunctions``1171609
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1171630
osolid?`1`n`(%)->Boolean`dSubSpaceComponentProperty``1171677
osolid`2`n`(%,Boolean)->Boolean`dSubSpaceComponentProperty``1171715
osolutionVector`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1171755
osolutionVector`2`n`(%,NonNegativeInteger)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1171860
osolve_u`3`n`(F,F,Symbol)->Union(List(List(F)),"failed")`pDenominatorIntegration(R,F)``1172016
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1172212
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F,RR)``1172392
osolve`1`x`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1172429
osolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1172639
osolve`1`x`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1172769
osolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1172968
osolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1173105
osolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1173258
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1173398
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``1173574
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``1173689
osolve`2`x`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1173803
osolve`2`x`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1173986
osolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1174187
osolve`2`x`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1174299
osolve`2`x`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1174478
osolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1174689
osolve`2`x`(List(Equation(Expression(R))),List(Expression(R)))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1174824
osolve`2`x`(List(Equation(Expression(R))),List(Kernel(Expression(R))))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1175048
osolve`2`x`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1175187
osolve`2`x`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1175326
osolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1175526
osolve`2`x`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1175678
osolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1175889
osolve`2`x`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1176028
osolve`2`x`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1176239
osolve`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``1176385
osolve`2`x`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``1176531
osolve`2`x`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1176742
osolve`2`x`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``1176953
osolve`2`x`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1177070
osolve`3`n`(Matrix(F),List(Vector(F)),(LO,List(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F)))->Record(particular:List(Record(ratpart:Vector(F),coeffs:Vector(F))),basis:List(Vector(F)))`pSystemODESolver(F,LO)``1177216
osolve`3`n`(Matrix(F),Vector(F),(LO,F)->Union(Record(particular:F,basis:List(F)),"failed"))->Union(Record(particular:Vector(F),basis:Matrix(F)),"failed")`pSystemODESolver(F,LO)``1177310
osolve`3`x`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1177728
osolve`3`x`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1178501
osolve`3`x`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``1179223
osolve`3`x`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1179771
osolve`3`x`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1180161
osolve`3`x`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1180551
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``1180865
osolve`4`n`(Matrix(LO),F,List(Vector(F)),(LO,List(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F)))->Union(Record(particular:List(Record(ratpart:Vector(F),coeffs:Vector(F))),basis:List(Vector(F))),"failed")`pOrePolynomialMatrixOperations(F,LO)``1181104
osolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1181662
osolve`4`x`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1181939
osolve`5`x`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``1182216
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``1182446
osolveFor`2`n`(%,JB)->Union(%,"failed")`cJetBundleFunctionCategory(JB)``1182702
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``1182792
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1182973
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1183123
osolveInField`3`n`(Matrix(LO),List(Vector(F)),(LO,List(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F)))->Record(particular:List(Record(ratpart:Vector(F),coeffs:Vector(F))),basis:List(Vector(F)))`pSystemODESolver(F,LO)``1183269
osolveInField`3`n`(Matrix(LO),Vector(F),(LO,F)->Record(particular:Union(F,"failed"),basis:List(F)))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pSystemODESolver(F,LO)``1183377
osolveLinear`2`n`(Matrix(R),Vector(R))->Record(particular:Union(Vector(Fraction(S)),"failed"),basis:List(Vector(Fraction(S))))`pLinearDependence(S,R)`NOT(has(S,Field))`1183778
osolveLinear`2`n`(Matrix(R),Vector(R))->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1183964
osolveLinear`2`n`(Vector(R),R)->Record(particular:Union(Vector(Fraction(S)),"failed"),basis:List(Vector(Fraction(S))))`pLinearDependence(S,R)`NOT(has(S,Field))`1184150
osolveLinear`2`n`(Vector(R),R)->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1184336
osolveLinearlyOverQ`2`x`(Matrix(R),Vector(R))->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1184522
osolveLinearlyOverQ`2`x`(Vector(R),R)->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1184715
osolveLinearOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1184908
osolveLinearOverConstants`3`n`(Vector(F),F,List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1185115
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``1185322
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``1185581
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``1185890
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xComplexCategory&(S,R)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xPolynomialFactorizationExplicit&(S)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xUnivariatePolynomialCategory&(S,R)``0
osolveLinearPolynomialEquation`2`x`(List(SparseUnivariatePolynomial(%)),SparseUnivariatePolynomial(%))->Union(List(SparseUnivariatePolynomial(%)),"failed")`cPolynomialFactorizationExplicit``1186149
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``1186408
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1186656
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``1187059
osolveUniquely`2`n`(Matrix(S),Vector(S))->Union(Vector(S),"failed")`pLinearSystemMatrixPackage2(S)``1187313
osomeBasis`0`x`()->Vector(%)`cFiniteRankNonAssociativeAlgebra(R)``1187457
oSomos`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``1187519
oSomos`1`x`(Union(PositiveInteger,Boolean))->%`dGuessOption``1187618
osort!`1`n`(A)->A`xLinearAggregate&(A,S)``0
osort!`1`n`(A)->A`xListAggregate&(A,S)``0
osort!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`1`x`(%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(%,shallowlyMutable),has(S,OrderedSet))`1187836
osort!`2`n`((S,S)->Boolean,A)->A`xLinearAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xListAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`2`x`((S,S)->Boolean,%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(%,shallowlyMutable))`1187914
osort`1`n`(%)->%`dFiniteSimplicialComplex(VS)``1187996
osort`1`n`(A)->A`xLinearAggregate&(A,S)``0
osort`1`x`(%)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`1188008
osort`1`x`(List(%))->List(%)`dPermutation(S)``1188119
osort`2`n`((S,S)->Boolean,A)->A`xLinearAggregate&(A,S)``0
osort`2`n`(S,VarSet)->Record(under:S,floor:S,upper:S)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
osort`2`x`((S,S)->Boolean,%)->%`cLinearAggregate(S)`has(%,finiteAggregate)`1188399
osort`2`x`(%,VarSet)->Record(under:%,floor:%,upper:%)`cPolynomialSetCategory(R,E,VarSet,P)``1188499
osorted?`1`n`(A)->Boolean`xLinearAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xListAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`1`x`(%)->Boolean`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,OrderedSet))`1188682
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xLinearAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xListAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`2`x`((S,S)->Boolean,%)->Boolean`cLinearAggregate(S)`has(%,finiteAggregate)`1188765
osortedPurge!`2`n`(%,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``1188854
osortLD`1`n`(List(%))->List(%)`cJetBundleFunctionCategory(JB)``1189007
osortLD`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
ospace`0`x`()->%`dCharacter``1189107
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``1189159
ospace`1`x`(ThreeSpace(DoubleFloat))->%`dDrawOption``1189349
ospanningForestArrow`1`n`(%)->List(Tree(Integer))`cFiniteGraph(S)``1189460
ospanningForestArrow`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningForestNode`1`n`(%)->List(Tree(Integer))`cFiniteGraph(S)``1189541
ospanningForestNode`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningTreeArrow`2`n`(%,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1189622
ospanningTreeArrow`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospanningTreeNode`2`n`(%,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1190089
ospanningTreeNode`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
oSPDE1`3`n`(SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->Record(ans:SparseUnivariatePolynomial(F),remainder:SparseUnivariatePolynomial(F))`pRDEaux(F)``1190462
ospecial_order`2`n`(S,List(UP))->Integer`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ospecial_order`2`x`(%,List(UP))->Integer`cFunctionFieldCategory(F,UP,UPUP)``1190883
ospecialise`2`n`(List(Polynomial(TheField)),Cell(TheField))->List(SparseUnivariatePolynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``1191089
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``1191192
osphereSolid`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1191257
osphereSolid`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1191418
osphereSurface`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1191585
osphereSurface`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1191756
ospherical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``1191960
osplit_mat!`6`n`(MMT,Integer,Integer,Integer,PMD,PMD)->Void`cModularFactorizationOperations(PA,MMT,MD,PMD)``1192220
osplit!`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit!`2`x`(%,NonNegativeInteger)->%`cUnaryRecursiveAggregate(S)`has(%,shallowlyMutable)`1192581
osplit`1`x`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``1192890
osplit`1`x`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``1193074
osplit`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``1193258
osplit`2`n`(P,(P)->P)->Record(normal:P,special:P)`pParallelIntegrationTools(R,V,P)``1193349
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``1193583
osplit`2`x`(%,Character)->List(%)`cStringAggregate``1193818
osplit`2`x`(%,CharacterClass)->List(%)`cStringAggregate``1193906
osplit`2`x`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1194000
osplit`2`x`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1194787
osplit`2`x`(S,%)->Record(less:%,greater:%)`dBinarySearchTree(S)``1194932
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``1195106
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``1195229
osplitDenominator`1`n`(P)->Record(num:P,den:R)`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``1195408
osplitDenominator`1`x`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``1195560
osplitDenominator`1`x`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``1195739
osplitDenominator`1`x`(UP)->Record(num:UP,den:R)`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
osplitDenominator`2`n`(LQ,List(Fraction(UP)))->Record(eq:L,rh:List(Fraction(UP)))`pPrimitiveRatDE(F,UP,L,LQ)``1195887
osplitList`2`n`((T)->Boolean,List(T))->Record(yes:List(T),no:List(T))`pListPackage(T)``1196093
osplitNodeOf!`3`n`(%,%,List(SplittingNode(V,C)))->%`dSplittingTree(V,C)``1196221
osplitNodeOf!`4`n`(%,%,List(SplittingNode(V,C)),(C,C)->Boolean)->%`dSplittingTree(V,C)``1196463
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``1196720
ospnt`2`n`(DoubleFloat,DoubleFloat)->%`cSPointCategory``1197027
ospnt`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->%`cSPointCategory``1197117
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,Dpol)``1197220
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,Dpol)``1197253
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``1197265
osqfrFactor`2`x`(R,NonNegativeInteger)->%`dFactored(R)``1197344
osqrt`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1197497
osqrt`1`n`(%)->%`dInnerPrimeField(p)``1197566
osqrt`1`n`(Fraction(Integer))->S`xRealClosedField&(S)``0
osqrt`1`n`(Integer)->S`xRealClosedField&(S)``0
osqrt`1`n`(S)->S`xComplexCategory&(S,R)``0
osqrt`1`n`(S)->S`xRadicalCategory&(S)``0
osqrt`1`n`(S)->S`xRealClosedField&(S)``0
osqrt`1`x`(%)->%`cComplexCategory(R)`AND(has(R,Field),has(R,OrderedRing),has(R,RadicalCategory))`1197830
osqrt`1`x`(%)->%`cRadicalCategory``1197968
osqrt`1`x`(%)->%`cRealClosedField``1198106
osqrt`1`x`(%)->%`dPrimeField(p)``1198148
osqrt`1`x`(Fraction(Integer))->%`cRealClosedField``1198316
osqrt`1`x`(Integer)->%`cRealClosedField``1198358
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`x`(%,Integer)->%`cPAdicIntegerCategory(p)``1198400
osqrt`2`x`(%,PositiveInteger)->%`cRealClosedField``1198523
osquare?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osquare?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osquare?`1`x`(%)->Boolean`cMatrixOperationsCategory(R,Row,Col)``1198568
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``1198743
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1198829
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``1198935
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``1199111
osquareFree`1`n`(S)->Factored(S)`xComplexCategory&(S,R)``0
osquareFree`1`n`(S)->Factored(S)`xField&(S)``0
osquareFree`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
osquareFree`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFree`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
osquareFree`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateSquareFree(E,OV,R,P)``1199299
osquareFree`1`x`(%)->Factored(%)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1199473
osquareFree`1`x`(%)->Factored(%)`cUniqueFactorizationDomain``1199567
osquareFree`1`x`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1199752
osquareFreeBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``1200081
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1200187
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1200280
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``1200677
osquareFreePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFreePart`1`n`(S)->S`xUniqueFactorizationDomain&(S)``0
osquareFreePart`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePart`1`x`(%)->%`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1200846
osquareFreePart`1`x`(%)->%`cUniqueFactorizationDomain``1200982
osquareFreePart`2`x`(P,%)->List(Record(val:P,tower:%))`cRegularTriangularSetCategory(R,E,V,P)``1201095
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xFiniteFieldCategory&(S)``0
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(%))->Factored(SparseUnivariatePolynomial(%))`cPolynomialFactorizationExplicit``1201586
osquareMatrix`1`n`(Matrix(R))->%`dSquareMatrix(ndim,R)``1201701
osquareTop`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osquareTop`1`x`(%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1201820
ostack`1`x`(List(S))->%`dStack(S)``1201991
ostandardBasisOfCyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`1202135
ostar`2`n`(%,OrientedFacet)->%`dFiniteSimplicialComplex(VS)``1202800
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``1202913
ostarts`1`n`(List(Boolean))->%`dBitStreamFrame``1203355
ostarts`1`n`(String)->%`dBitStreamFrame``1203383
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``1203451
ostartTable!`3`x`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``1203576
ostartTable!`3`x`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1203675
ostartTableGcd!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1203774
ostartTableGcd!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostartTableInvSet!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1203873
ostartTableInvSet!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostatement2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``1203975
ostatistics`0`n`()->Void`dJetLazyFunction(JB,D)``1204011
ostatistics`0`n`()->Void`pUnittestCount``1204221
ostatus`1`n`(%)->Boolean`dSplittingNode(V,C)``1204362
ostatus`1`n`(%)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1204427
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1204565
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1204699
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1204833
ostirling`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1204967
ostirling1`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1205052
ostirling2`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1205152
ostop`0`n`()->%`dFortranCode``1205254
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``1205321
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``1205593
ostopTable!`0`x`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``1205886
ostopTable!`0`x`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1205974
ostopTableGcd!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1206062
ostopTableGcd!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1206150
ostopTableInvSet!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseIntegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?_reg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?_sqfreg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->Boolean`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet_reg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet_sqfreg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostosePrepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostransform`1`n`((Complex(DoubleFloat))->Complex(DoubleFloat))->%`dSTransform(PT)``1206241
ostransform`1`n`((PT)->PT)->%`dSTransform(PT)``1206424
ostransform`1`n`(List(DoubleFloat))->%`dSTransform(PT)``1206531
ostransform`1`n`(List(List(DoubleFloat)))->%`dSTransform(PT)``1206599
oSTransform`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``1206675
oSTransform1`1`x`(Distribution(R))->UTSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``1206772
oSTransform2`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``1206920
ostranslate`6`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->%`dSTransform(PT)``1207037
ostream`1`n`(%)->Stream(R)`cSequenceCategory(R)``1207307
ostream`1`x`(()->S)->%`dStream(S)``1207357
ostream`2`x`((S)->S,S)->%`dInfiniteTuple(S)``1207502
ostream`2`x`((S)->S,S)->%`dStream(S)``1207569
ostring?`1`n`(OutputForm)->Boolean`pOutputFormTools``1207797
ostring?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1207883
ostring`1`n`(OutputForm)->String`pOutputFormTools``1207972
ostring`1`x`(%)->Str`cSExpressionCategory(Str,Sym,Int,Flt)``1208085
ostring`1`x`(%)->String`dSymbol``1208222
ostring`1`x`(Integer)->%`cStringCategory``1208325
ostripCommentsAndBlanks`1`n`(String)->String`pTemplateUtilities``1208409
ostrongGenerators`1`x`(%)->List(Permutation(S))`dPermutationGroup(S)``1208548
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`x`(P,%)->P`cTriangularSetCategory(R,E,V,P)``1208633
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`x`(%)->Boolean`cTriangularSetCategory(R,E,V,P)``1208875
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`x`(P,%)->Boolean`cTriangularSetCategory(R,E,V,P)``1209020
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``1209129
ostructuralConstants`0`x`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``1209380
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`x`(List(Matrix(R)))->Vector(Matrix(R))`pStructuralConstantsPackage(R)``1209631
ostructuralConstants`1`x`(Vector(%))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``1209910
ostructuralConstants`2`x`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``1210177
ostructuralConstants`2`x`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``1210606
ostruveH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1211035
ostruveH`2`x`(%,%)->%`cSpecialFunctionCategory``1211096
ostruveL`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1211157
ostruveL`2`x`(%,%)->%`cSpecialFunctionCategory``1211306
ostube`3`n`(List(Record(source:(DoubleFloat)->PT,ranges:List(Segment(DoubleFloat)),knots:List(DoubleFloat),points:List(PT))),DoubleFloat,Integer)->%`dSceneIFS(PT)``1211455
oSturmHabicht`2`x`(UP,UP)->Integer`pSturmHabichtPackage(R,UP)``1211566
oSturmHabichtCoefficients`2`x`(UP,UP)->List(R)`pSturmHabichtPackage(R,UP)``1211859
oSturmHabichtMultiple`2`x`(UP,UP)->Integer`pSturmHabichtPackage(R,UP)`has(R,GcdDomain)`1211983
oSturmHabichtSequence`2`x`(UP,UP)->List(UP)`pSturmHabichtPackage(R,UP)``1212284
osturmSequence`1`x`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1212390
osturmVariationsOf`1`x`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`1212449
ostyle`1`x`(String)->%`dDrawOption``1212593
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1212769
osu_irreducible?`1`n`(SparseUnivariatePolynomial(F))->Boolean`pUnivariateFiniteFieldFactorize(F,UP)``1212966
osub_poly`3`n`(PA,PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1213073
osub`2`n`(%,%)->%`dOutputForm``1213164
osub1!`2`n`(PA,MD)->PA`cModularFactorizationOperations(PA,MMT,MD,PMD)``1213241
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1213314
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1213409
osubdiagramSvg`4`n`(Scene(SCartesian(2)),%,Boolean,Boolean)->Void`cFiniteGraph(S)``1213504
osubdiagramSvg`4`n`(Scene(SCartesian(2)),A,Boolean,Boolean)->Void`xFiniteGraph&(A,S)``0
osubdivide`1`n`(%)->%`dSceneIFS(PT)``1213777
osublis_formal`2`n`(List(SExpression),SExpression)->SExpression`pBrowserInformation``1213927
osubMatrix`3`n`(M,List(Integer),List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1214050
osubMatrix`3`n`(M,Segment(Integer),Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1214159
osubMatrix`5`n`(S,Integer,Integer,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osubMatrix`5`x`(%,Integer,Integer,Integer,Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1214268
osubMatrix`6`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Matrix(R)`dLinearMultivariateMatrixPencil(R)``1214470
osubmod`3`x`(%,%,%)->%`cIntegerNumberSystem``1214600
osubNode?`3`n`(%,%,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``1214675
osubNodeOf?`3`n`(SplittingNode(V,C),%,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``1214807
osubordinationConvolution`2`n`(%,%)->%`cDistributionCategory(R)``1214977
osubPencil`3`n`(%,List(NonNegativeInteger),List(NonNegativeInteger))->%`dLinearMultivariateMatrixPencil(R)``1215103
osubPencil`5`n`(%,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1215223
osubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1215327
osubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1215425
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1215523
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1215662
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1215801
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1215950
osubResultantChain`2`x`(%,%)->List(%)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1216114
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``1216296
osubResultantGcd`2`x`(%,%)->%`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1216407
osubResultantGcd`2`x`(%,%)->%`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`1216736
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1216882
osubresultants`2`n`(UP,UP)->IndexedVector(UP,0)`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
osubresultants`2`n`(UP,UP)->IndexedVector(UP,Zero)`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`1217088
osubResultantsChain`2`n`(%,%)->List(%)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`1217225
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``1217366
osubscript`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1217552
osubscript`2`x`(%,List(OutputForm))->%`dSymbol``1217860
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`x`(%,%)->Boolean`cSetAggregate(S)``1217956
osubSet`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1218117
osubsetLattice`1`n`(List(S))->%`dSubsetLattice(S,top)``1218449
osubspace?`2`n`(%,%)->Boolean`dVectorSpaceBasis(R)``1218489
osubspace`0`n`()->%`dSubSpace(n,R)``1218573
osubspace`1`x`(%)->SubSpace(3,R)`cThreeSpaceCategory(R)``1218612
osubspace`1`x`(%)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``1218748
osubspace`2`x`(%,ThreeSpace(DoubleFloat))->%`dThreeDimensionalViewport``1218928
osubst_var`3`n`(%,List(Symbol),List(Symbol))->%`dFakePolynomial``0
osubst_vars`3`n`(PT,List(Symbol),List(Symbol))->MP`cModularEvaluationCategory(PT,MP)``1219133
osubst`2`n`(S,Equation(S))->S`xExpressionSpace2&(S,K)``0
osubst`2`n`(S,Equation(S))->S`xFunctionSpace2&(S,R,K)``0
osubst`2`n`(S,List(Equation(S)))->S`xExpressionSpace2&(S,K)``0
osubst`2`n`(S,List(Equation(S)))->S`xFunctionSpace2&(S,R,K)``0
osubst`2`x`(%,%)->%`dEquation(S)`has(S,ExpressionSpace)`1219259
osubst`2`x`(%,Equation(%))->%`cExpressionSpace2(K)``1219390
osubst`2`x`(%,List(Equation(%)))->%`cExpressionSpace2(K)``1219483
osubst`3`n`(%,%,%)->%`dLambda(UT)``1219629
osubst`3`n`(%,JB,%)->%`cJetBundleFunctionCategory(JB)``1219685
osubst`3`n`(S,List(K),List(S))->S`xExpressionSpace2&(S,K)``0
osubst`3`n`(S,List(K),List(S))->S`xFunctionSpace2&(S,R,K)``0
osubst`3`x`(%,List(K),List(%))->%`cExpressionSpace2(K)``1219797
osubstHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``1219946
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
osubstitute`3`n`(S,S,%)->%`dListMultiDictionary(S)``1220062
osubstring?`3`x`(%,%,Integer)->Boolean`cStringAggregate``1220170
osubSylvesterMatrix`2`n`(M,NonNegativeInteger)->M`pBezoutMatrix(R,UP,M,Row,Col)``1220328
osubSylvesterMatrix`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osubSylvesterMatrix`3`n`(M,NonNegativeInteger,NonNegativeInteger)->M`pBezoutMatrix(R,UP,M,Row,Col)``1220422
osubSylvesterMatrix`3`n`(Matrix(R),NonNegativeInteger,NonNegativeInteger)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osubtract`2`n`(%,%)->%`dOrientedFacet``1220498
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`x`(%,%)->Union(%,"failed")`cCancellationAbelianMonoid``1220575
osubTriSet?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1220699
osubTriSet?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1220793
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1220887
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``1221005
osuchThat`2`x`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``1221158
osuchThat`2`x`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``1221264
osuchThat`2`x`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``1221427
osuchThat`2`x`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``1221498
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1221625
osuchThat`3`x`(%,List(Symbol),(List(F))->Boolean)->%`dRewriteRule(Base,R,F)``1221755
osufactor_square_free`1`n`(SparseUnivariatePolynomial(F))->List(SparseUnivariatePolynomial(F))`pUnivariateFiniteFieldFactorize(F,UP)``1221890
osufactor`1`n`(SparseUnivariatePolynomial(F))->Record(cont:F,factors:List(Record(factor:SparseUnivariatePolynomial(F),exponent:NonNegativeInteger)))`pUnivariateFiniteFieldFactorize(F,UP)``1221998
osuffix?`2`x`(%,%)->Boolean`cStringAggregate``1222064
osum`1`n`(%)->%`dOutputForm``1222324
osum`1`n`(Integer)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1222407
osum`2`n`(%,%)->%`dOutputForm``1222602
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1222715
osum`2`x`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``1222891
osum`2`x`(F,Symbol)->F`pFunctionSpaceSum(R,F)``1222996
osum`2`x`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1223096
osum`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1223171
osum`2`x`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1223349
osum`2`x`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1223424
osum`3`n`(%,%,%)->%`dOutputForm``1223602
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1223754
osumBasis`1`n`(List(%))->%`dVectorSpaceBasis(R)``1223831
osumBasis`1`n`(List(List(Vector(R))))->%`dVectorSpaceBasis(R)``1223982
osumBasis`2`n`(%,%)->%`dVectorSpaceBasis(R)``1224165
osumBasis`2`n`(List(Vector(R)),List(Vector(R)))->%`dVectorSpaceBasis(R)``1224246
osummands`1`n`(%)->List(%)`dFreeDivisionAlgebra(VAR,F)``1224381
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``1224513
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``1224617
osummation`2`x`(%,SegmentBinding(%))->%`cCombinatorialOpsCategory``1224771
osummation`2`x`(%,Symbol)->%`cCombinatorialOpsCategory``1224875
osumOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``1225029
osumOfKthPowerDivisors`2`x`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``1225223
osumSquares`1`x`(Integer)->List(Integer)`pGaussianFactorizationPackage``1225480
osunion`2`n`(%,%)->%`dSBoundary(PT)``1225713
osup`1`n`(%)->R`cAIntervalCategory(R)``1225940
osup`2`x`(%,%)->%`cOrderedAbelianMonoidSup``1225995
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1226102
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1226300
osuper`2`n`(%,%)->%`dOutputForm``1226499
osuperscript`2`x`(%,List(OutputForm))->%`dSymbol``1226580
osupersub`2`n`(%,List(%))->%`dOutputForm``1226680
osupport`1`n`(A)->List(S)`xFreeModuleCategory&(A,R,S)``0
osupport`1`x`(%)->List(S)`cFreeModuleCategory(R,S)``1226808
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`x`(%,%)->Boolean`cRecursivePolynomialCategory(R,E,V)``1226895
osurface`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->%`dParametricSurface(ComponentFunction)``1227065
osvec`2`n`(DoubleFloat,DoubleFloat)->%`cSPointCategory``1227192
osvec`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->%`cSPointCategory``1227283
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`x`(%,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(%,shallowlyMutable)`1227387
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``1227516
oswap`1`x`(%)->%`dEquation(S)``1227582
oswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1227666
oswapColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1227766
oswapColumns!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapColumns!`3`x`(%,Integer,Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1227889
oswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1228026
oswapRows!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dLinearMultivariateMatrixPencil(R)``1228120
oswapRows!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapRows!`3`x`(%,Integer,Integer)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1228237
oswapRowsColumns!`3`n`(%,NonNegativeInteger,NonNegativeInteger)->%`dFreeDivisionAlgebra(VAR,F)``1228368
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``1228503
osylvesterMatrix`2`n`(UP,UP)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osylvesterSequence`2`x`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1228623
osymbol?`1`n`(%)->Boolean`dPattern(R)``1228755
osymbol?`1`n`(OutputForm)->Boolean`pOutputFormTools``1228811
osymbol?`1`x`(%)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1228897
osymbol`1`n`(List(%))->SparseEchelonMatrix(JB,%)`cJetBundleFunctionCategory(JB)``1228986
osymbol`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
osymbol`1`n`(OutputForm)->Symbol`pOutputFormTools``1229080
osymbol`1`x`(%)->Sym`cSExpressionCategory(Str,Sym,Int,Flt)``1229193
osymbolIfCan`1`n`(%)->Union(Symbol,"failed")`cKernelCategory(S)``1229330
osymbolTable`1`n`(List(Record(key:Symbol,entry:FortranType)))->%`dSymbolTable``1229444
osymbolTableOf`2`n`(Symbol,%)->SymbolTable`dTheSymbolTable``1229527
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``1229600
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``1229789
osymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osymmetric?`1`x`(%)->Boolean`cMatrixOperationsCategory(R,Row,Col)``1229915
osymmetricDifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
osymmetricDifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
osymmetricDifference`2`x`(%,%)->%`cSetAggregate(S)``1230113
osymmetricGroup`1`n`(PositiveInteger)->%`dGroupPresentation``1230481
osymmetricGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1230624
osymmetricGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``1230893
osymmetricPower`2`x`(%,NonNegativeInteger)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1231087
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1231273
osymmetricProduct`2`x`(%,%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1231497
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1231703
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`x`(%,%)->%`cIntegerNumberSystem``1231947
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`x`(%)->%`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1232053
osymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``1232156
osymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``1232712
osystemCommand`1`x`(String)->Void`pMoreSystemCommands``1233235
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``1233441
oT$`0`n`()->%`cBoundedMeetSemilattice``1233474
oT$`0`n`()->S`xLogic&(S)``0
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``1233509
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``1233713
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`x`()->%`cTableAggregate(Key,Entry)``1233785
otable`1`n`((Key)->SingleInteger)->%`dXHashTable(Key,Entry)``1233858
otable`1`n`(List(%))->TwoDimensionalArray(%)`dJetVectorField(JB,D)``1234285
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`x`(List(Record(key:Key,entry:Entry)))->%`cTableAggregate(Key,Entry)``1234374
otableau`1`x`(List(List(S)))->%`dTableau(S)``1234469
otableau`2`n`(SparseEchelonMatrix(JB,D),JetDifferential(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1234544
otableau`2`n`(SparseEchelonMatrix(JB,D),List(JetDifferential(JB,D)))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1234632
otableForDiscreteLogarithm`1`x`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``1234739
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``1235041
otail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
otail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
otail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
otail`1`x`(%)->%`cDoublyLinkedAggregate(S)``1235331
otail`1`x`(%)->%`cRecursivePolynomialCategory(R,E,V)``1235459
otail`1`x`(%)->%`cUnaryRecursiveAggregate(S)``1235577
otails`1`x`(%)->List(%)`dList(S)``1235662
otan`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1235768
otan`1`n`(F)->F`pElementaryFunction(R,F)``1235835
otan`1`n`(S)->S`xComplexCategory&(S,R)``0
otan`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
otan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1235897
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1235965
otan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1236033
otan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1236102
otan`1`x`(%)->%`cTrigonometricFunctionCategory``1236173
otan2cot`1`x`(F)->F`pTranscendentalManipulations(R,F)``1236227
otan2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``1236325
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``1236429
otanh`1`n`(%)->%`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1236535
otanh`1`n`(F)->F`pElementaryFunction(R,F)``1236604
otanh`1`n`(S)->S`xComplexCategory&(S,R)``0
otanh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
otanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1236678
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1236762
otanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1236846
otanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1236927
otanh`1`x`(%)->%`cHyperbolicFunctionCategory``1237010
otanh2coth`1`x`(F)->F`pTranscendentalManipulations(R,F)``1237076
otanh2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1237178
otanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1237287
otanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1237374
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``1237459
otanQ`2`x`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``1237567
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``1237647
oTau`0`n`()->Symbol`pMathematicalSymbols``1237809
otau`0`n`()->Symbol`pMathematicalSymbols``1237874
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1237937
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1238123
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1238309
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1238495
otaylor_via_lode`3`n`(List(UTS),PS,List(Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1238681
otaylor`1`x`(%)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1238825
otaylor`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1238964
otaylor`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1239145
otaylor`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)``1239213
otaylor`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
otaylor`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1239296
otaylor`2`x`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1239407
otaylor`3`n`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries2(FE)``1239648
otaylor`3`n`((Integer)->R,Symbol,R)->Any`pGenerateUnivariatePowerSeries1(R)``1239823
otaylor`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`1239905
otaylor`3`x`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``0
otaylor`3`x`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1239985
otaylor`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`0
otaylor`4`n`((Integer)->R,Symbol,R,UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries1(R)``1240150
otaylor`4`n`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries2(FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`1240323
otaylor`4`x`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)`AND(has(FE,Evalable(FE)),has(FE,RetractableTo(Integer)))`0
otaylorIfCan`1`x`(%)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1240492
otaylorQuoByVar`1`n`(%)->%`dInnerSparseUnivariatePowerSeries(Coef)``1240644
otaylorRep`1`x`(%)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1240739
otensor`1`n`(List(B))->%`dTensorPower(n,R,B,M)``0
otensor`1`n`(List(M))->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`1`x`(List(M))->%`cTensorPowerCategory(n,R,M)``1240854
otensor`2`n`(%,%)->%`dOutputForm``1240951
otensor`2`n`(M,M)->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`2`x`(M,N)->%`cTensorProductCategory(R,M,N)``1241015
otensorMap`2`n`(Stream(R),(R)->List(R))->Stream(R)`pStreamTensor(R)``1241111
otensorProduct`1`x`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1241281
otensorProduct`1`x`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1241646
otensorProduct`2`x`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1241745
otensorProduct`2`x`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1242130
oterminal`1`n`(S)->%`cFiniteGraph(S)``1242411
oterminal`1`n`(S)->A`xPoset&(A,S)``0
oterms`1`x`(%)->List(Record(k:M,c:R))`cMonoidRingCategory(R,M)``1242502
oterms`1`x`(%)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``1242662
otest`1`x`(%)->Boolean`dBoolean``1243017
otestAbsolutePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1243113
otestcase`1`n`(String)->Void`pUnittestCount``1243291
otestcaseNoClear`1`n`(String)->Void`pUnittestCount``1243435
otestco`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer),Integer)->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1243589
otestComplexEquals`2`n`(String,String)->Void`pUnittest``1243611
otestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1243830
otestcp`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer),Integer)->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244056
otestcx`2`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer))->UnivariatePolynomial(var,Expression(Integer))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244078
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``1244100
otestEquals`2`n`(String,String)->Void`pUnittest``1244215
otestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1244485
otestEqualsAuxCmp`2`n`(R,R)->Boolean`pUnittestAux(R)``1244763
otestf2`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer))->Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244829
otestfg`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))))->List(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244851
otestfn`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->List(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244873
otestfo`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->Union(List(Record(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(var,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),List(Union(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Record(ope:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dext:PositiveInteger,alpha:Expression(Integer),rami:UnivariatePolynomial(var,Expression(Integer))))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244895
otestfr`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->Union(List(Record(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(var,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),List(Union(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Record(ope:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dext:PositiveInteger,alpha:Expression(Integer),rami:UnivariatePolynomial(var,Expression(Integer))))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244917
otestgt`2`n`(Expression(Integer),Kernel(Expression(Integer)))->Expression(Integer)`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244939
otestis`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244961
otestlc`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Record(llc:List(Stream(Record(k:Integer,c:Expression(Integer)))),rlc:List(Stream(Record(k:Integer,c:Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1244983
otestLibraryError`1`n`(String)->Void`pUnittest``1245005
otestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1245124
otestll`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Record(laurl:List(UnivariateLaurentSeries(Expression(Integer),var,cen)),laurr:List(UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1245252
otestln`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Record(main:Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))),nf:Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))),error:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1245274
otestlp`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),Union(Expression(Integer),"infinity"))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1245296
otestlw`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Stream(Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1245318
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``1245340
otestNotEquals`2`n`(String,String)->Void`pUnittest``1245536
otestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1245633
otestnp`1`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))))->List(Record(point:Record(x:Integer,y:Integer),slope:Fraction(Integer),npoly:UnivariatePolynomial(var,Expression(Integer))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1245738
otestpd`1`n`(UnivariatePolynomial(var,Expression(Integer)))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1245760
otestRealEquals`2`n`(String,String)->Void`pUnittest``1245782
otestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1245995
otestRelativePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1246216
otestro`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Expression(Integer),PositiveInteger)->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1246394
otestsb`2`n`(Union(UnivariatePolynomial(var,Expression(Integer)),UnivariateLaurentSeries(Expression(Integer),var,cen)),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1246416
otestsc`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))))->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1246438
otestsuite`1`n`(String)->Void`pUnittestCount``1246460
otestsuiteNoClear`1`n`(String)->Void`pUnittestCount``1246611
otestTrue`1`n`(String)->Void`pUnittest``1246771
otestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1246843
otex`1`n`(%)->List(String)`dTexFormat``1246916
otext_math?`1`n`(%)->Boolean`dTeXTree``1246986
otext_math`1`n`(%)->%`dTeXTree``1247079
otext?`1`n`(%)->Boolean`dTeXTree``1247153
otext`1`n`(String)->%`dTeXTree``1247249
otheMap`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1247313
oTheta`0`n`()->Symbol`pMathematicalSymbols``1247377
otheta`0`n`()->Symbol`pMathematicalSymbols``1247446
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``1247513
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`x`(%)->S`cUnaryRecursiveAggregate(S)``1247785
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``1247893
otimes`2`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer))->Record(mantissa:Integer,exponent:Integer)`pFloatingPointOperations``1248088
otimes`3`n`(Record(mantissa:Integer,exponent:Integer),Record(mantissa:Integer,exponent:Integer),PositiveInteger)->Record(mantissa:Integer,exponent:Integer)`pFloatElementaryFunctions``1248155
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``1248257
otitle`1`x`(String)->%`dDrawOption``1248372
otitle`2`n`(%,String)->Void`dTwoDimensionalViewport``1248514
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1248667
otitle`2`x`(%,String)->Void`dThreeDimensionalViewport``1248864
oto_mod_pa`1`n`(SparseUnivariatePolynomial(Integer))->PrimitiveArray(PrimeField(p))`pVectorPolynomialOperationsP(p)``1249021
oto_mod_pa`1`n`(SparseUnivariatePolynomial(K))->PrimitiveArray(K)`pVectorPolynomialOperationsF(K)``1249148
oto_mod_pa`2`n`(SparseUnivariatePolynomial(Integer),Integer)->U32Vector`pU32VectorPolynomialOperations``1249205
oto_UP`1`n`(%)->SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))`dFakePolynomial``0
otoCayleyGraph`1`n`(PermutationGroup(S))->MultifunctionGraph(String)`dMultifunctionGraph(S)``1249335
otoCayleyGraph`2`n`(List(Permutation(S)),Boolean)->MultifunctionGraph(String)`dMultifunctionGraph(S)``1249385
otoggleAlternativeOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1249596
otoggleDebugOutput`1`n`(%)->%`dFreeDivisionAlgebra(VAR,F)``1249683
otoObj`6`n`(%,Reference(List(PT)),Reference(List(List(NonNegativeInteger))),Reference(NonNegativeInteger),STransform(PT),SBoundary(PT))->Void`dScene(PT)``1249738
otop_split`1`n`(XDistributedPolynomial(vl,F))->List(XDistributedPolynomial(vl,F))`pXPolynomialFactor(vl,F)``1250564
otop`1`x`(%)->S`cStackAggregate(S)``1250743
otoPermutation`1`n`(%)->PermutationGroup(NonNegativeInteger)`dMultifunctionGraph(S)``1250913
otoPermutationIfCan`1`n`(%)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1251010
otoPermutationIfCan`2`n`(%,Boolean)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1251220
otoPermutationIfCan`3`n`(%,List(List(Integer)),Boolean)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1251430
otopFortranOutputStack`0`n`()->String`pFortranOutputStackPackage``1251648
otoPoint`1`n`(%)->%`cSPointCategory``1251738
otopologicalSort!`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1251912
otopologicalSort`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1252072
otopologicalSort`2`n`(List(List(Boolean)),List(T))->List(T)`pListPackage(T)``1252190
otopPredicate`1`n`(%)->Record(var:List(Symbol),pred:Any)`dPattern(R)``1252430
otoroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``1252622
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1252925
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``1253029
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1253069
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``1253273
otorusSurface`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``1253317
otorusSurface`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1253372
otorusSurface`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1253448
otoScale`1`x`(Boolean)->%`dDrawOption``1253529
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``1253757
otoseInvertible?`2`x`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1253958
otoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1254087
otoseInvertibleSet`2`x`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1254216
otoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1254349
otoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1254488
otoString`1`n`(%)->String`cVarCat``1254618
otoString`1`n`(%)->String`dILogic``1254671
otoString`1`n`(%)->String`dLambda(UT)``1254741
otoString`1`n`(%)->String`dLatticeJoinOfMeets``1254956
otoString`1`n`(%)->String`dLatticeMeetOfJoins``1255026
otoString`1`n`(%)->String`dSceneNamedPoints(PT)``1255096
otoString`1`n`(%)->String`dSKICombinators(UT)``1255172
otoString`1`n`(S)->String`xFloatingPointSystem&(S)``0
otoString`1`x`(%)->String`cFloatingPointSystem``1255186
otoString`2`n`(S,NonNegativeInteger)->String`xFloatingPointSystem&(S)``0
otoString`2`x`(%,NonNegativeInteger)->String`cFloatingPointSystem``1255259
otoStringConven`2`n`(%,List(String))->String`dLambda(UT)``1255370
otoStringUnwrapped`1`n`(%)->String`dILogic``1255655
otoStringUnwrapped`1`n`(%)->String`dLatticeJoinOfMeets``1255734
otoStringUnwrapped`1`n`(%)->String`dLatticeMeetOfJoins``1255813
otoSVG`8`n`(%,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT),DoubleFloat,Boolean,Boolean,SceneNamedPoints(PT))->XmlElement`dScene(PT)``1255892
otoTable`1`x`((%,%)->%)->Matrix(%)`dCliffordAlgebra(n,K,bLin)``1256690
otoTable`1`x`((%)->%)->Matrix(%)`dCliffordAlgebra(n,K,bLin)``1256979
ototalDegree`1`n`(%)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1257138
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(%,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1257242
ototalDegree`2`n`(S,List(SingletonAsOrderedSet))->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegreeSorted`2`n`(%,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1257383
ototalDegreeSorted`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDifferential`1`n`(Expression(CoefRing))->%`dDeRhamComplex(CoefRing,listIndVar)``1257595
ototalfract`1`x`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1257699
ototalGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``1257930
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1258192
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``1258374
otoVector`1`n`(%)->%`cSPointCategory``1258410
otower`1`n`(List(S))->List(K)`xExpressionSpace2&(S,K)``0
otower`1`n`(S)->List(K)`xExpressionSpace2&(S,K)``0
otower`1`x`(%)->List(K)`cExpressionSpace2(K)``1258577
otower`1`x`(List(%))->List(K)`cExpressionSpace2(K)``1258680
otoX3D`4`n`(%,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT))->XmlElement`dScene(PT)``1258809
otrace`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`1`n`(S)->R`xComplexCategory&(S,R)``0
otrace`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
otrace`1`x`(%)->R`cFiniteRankAlgebra(R,UP)``1259218
otrace`1`x`(%)->R`cSquareMatrixCategory(ndim,R,Row,Col)``1259328
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1259465
otrace`2`x`(%,PositiveInteger)->%`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`1259562
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``1259902
otraceMatrix`0`x`()->Matrix(R)`cFramedAlgebra(R,UP)``1260065
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
otraceMatrix`1`x`(Vector(%))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1260228
otrailingCoefficient`1`n`(%)->R`dLaurentPolynomial(R,UP)``1260340
otRange`1`n`(%)->Segment(DoubleFloat)`dPlot``1260388
otRange`1`n`(%)->Segment(DoubleFloat)`dPlot3D``1260477
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendenceDegree`0`x`()->NonNegativeInteger`cExtensionField(F)``1260567
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`x`(%)->Boolean`cExtensionField(F)``1260693
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otransform`1`n`(DistributedMultivariatePolynomial(lv,F))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``1260817
otransform`1`n`(JB1)->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1260855
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1260959
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JetBundleSymAna(JB1,xi,eta))`pSymmetryAnalysis(JB1,xi,eta)``1261046
otransformationMatrices`1`n`(Matrix(F))->List(Matrix(F))`pXDistributedPolynomialFunctions(VAR,F)``1261143
otransformationMatrix`1`n`(%)->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``1261337
otransformColumns!`2`n`(%,Matrix(F))->%`dFreeDivisionAlgebra(VAR,F)``1261470
otransformColumns!`2`n`(%,Matrix(R))->%`dLinearMultivariateMatrixPencil(R)``1261555
otransformRows!`2`n`(%,Matrix(F))->%`dFreeDivisionAlgebra(VAR,F)``1261666
otransformRows!`2`n`(%,Matrix(R))->%`dLinearMultivariateMatrixPencil(R)``1261747
otransition_matrices`1`n`(%)->List(Matrix(Integer))`dChainComplex``1261854
otranslate`3`x`(%,Float,Float)->Void`dThreeDimensionalViewport``1261931
otranslate`3`x`(R,R,R)->%`dDenavitHartenbergMatrix(R)``1262149
otranslate`4`n`(%,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1262253
otranspose`1`n`(%)->%`dSquareMatrix(ndim,R)``1262702
otranspose`1`n`(Row)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
otranspose`1`x`(%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1262775
otranspose`1`x`(%)->%`dCartesianTensor(minix,dim,R)``1262847
otranspose`1`x`(Row)->%`cMatrixCategory(R,Row,Col)``1263090
otranspose`3`x`(%,Integer,Integer)->%`dCartesianTensor(minix,dim,R)``1263160
otrapezoidal`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1263442
otrapezoidalo`7`x`((F)->F,F,F,F,F,Integer,Integer)->Record(value:F,error:F,totalpts:Integer,success:Boolean)`pNumericalQuadrature(F)``1264114
otraverse`2`n`(%,List(NonNegativeInteger))->%`dSubSpace(n,R)``1264790
otree`1`x`(List(S))->%`dTree(S)``1265121
otree`1`x`(S)->%`dTree(S)``1265196
otree`2`x`(S,List(%))->%`dTree(S)``1265273
otrial_division`5`n`(MP,Polynomial(Integer),List(MP),Symbol,List(Symbol))->Boolean`cModularEvaluationCategory(PT,MP)``1265361
otriangle`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dDeltaComplex(VS)``1265594
otriangSolve`1`x`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1265640
otriangSolve`2`x`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1265727
otriangSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1265814
otriangular_multiply`4`n`(U32Matrix,U32Matrix,U32Vector,Integer)->U32Matrix`pModularU32MatrixOperations``1266823
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1267119
otriangularSystems`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``1267311
otriangulate`2`n`(Matrix(F),List(Vector(F)))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),lg:List(Vector(F)),eq:LO,lrh:List(F))))`pSystemODESolver(F,LO)``1267665
otriangulate`2`n`(Matrix(F),Vector(F))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),g:Vector(F),eq:LO,rh:F)))`pSystemODESolver(F,LO)``1267751
otriangulate`2`n`(Matrix(LO),List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pSystemODESolver(F,LO)``1268103
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``1268328
otrigs`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``1268494
otrigs`1`x`(F)->F`pTrigonometricManipulations(R,F)``1268623
otrigs2explogs`2`n`(FG,List(Kernel(FG)))->FG`pInnerTrigonometricManipulations(R,F,FG)``1268752
otrigs2explogs`2`n`(FG,List(Kernel(FG)))->FG`pTrigonometricManipulationsAux(G,FG)``1269059
otrim_mat!`4`n`(MMT,Integer,Integer,PMD)->Void`cModularFactorizationOperations(PA,MMT,MD,PMD)``1269366
otrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
otrim`2`n`(S,Character)->S`xStringAggregate&(S)``0
otrim`2`n`(S,CharacterClass)->S`xStringAggregate&(S)``0
otrim`2`x`(%,CharacterClass)->%`cStringAggregate``1269614
otrim`2`x`(%,S)->%`cLinearAggregate(S)`AND(has(%,finiteAggregate),has(S,BasicType))`1269796
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`x`(%)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``1269981
otrue`0`x`()->%`cLogic``1270083
otrueEqual`2`x`(%,%)->Boolean`dAlgebraicNumber``1270125
otrunc`2`x`(%,NonNegativeInteger)->%`cFreeLieAlgebra(VarSet,R)``1270203
otrunc`2`x`(%,NonNegativeInteger)->%`cXPolynomialsCat(vl,R)``1270290
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`x`(%)->%`cRealNumberSystem``1270377
otruncate`2`x`(%,Expon)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``1270466
otruncate`3`x`(%,Expon,Expon)->%`cUnivariatePowerSeriesCategory(Coef,Expon)``1270597
otruncated_mul_add`5`n`(U32Vector,U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``1270756
otruncated_mul_add2`6`n`(U32Vector,U32Vector,U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1270869
otruncated_multiplication`4`n`(U32Vector,U32Vector,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``1271024
otry_real`2`n`(F,Symbol)->F`pRealNormalizationUtilities(R,F)``0
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1271121
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1271267
otryTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1271461
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``1271647
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->%`dTubePlot(Curve)``1271736
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1272044
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1272307
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1272560
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1272901
otubePoints`1`x`(PositiveInteger)->%`dDrawOption``1273240
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1273451
otubePointsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1273658
otubePointsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1273796
otubeRadius`1`x`(Float)->%`dDrawOption``1273940
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``1274082
otubeRadiusDefault`0`x`()->DoubleFloat`pViewDefaultsPackage``1274289
otubeRadiusDefault`1`x`(Float)->DoubleFloat`pViewDefaultsPackage``1274367
otValues`1`n`(%)->List(List(DoubleFloat))`dPlot3D``1274458
otwist`1`x`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``1274615
otype`1`n`(%)->Symbol`cJetBundleCategory``1274713
otypeList`2`n`(FortranScalarType,%)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``1274817
otypeLists`1`n`(%)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``1274906
oU`0`n`()->%`cJetBundleCategory``1274993
oU`0`n`()->%`cJetBundleFunctionCategory(JB)``0
oU`0`n`()->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oU`0`n`()->S`xJetBundleCategory&(S)``0
oU`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oU`1`n`(PositiveInteger)->%`cJetBundleCategory``1275050
oU`1`n`(PositiveInteger)->%`cJetBundleFunctionCategory(JB)``0
oU`1`n`(PositiveInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oU`1`n`(PositiveInteger)->S`xJetBundleCategory&(S)``0
oU`1`n`(PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oucodeToString`1`x`(Integer)->%`dString``1275122
ouentries`1`x`(%)->List(SingleInteger)`dString``1275265
ounary?`1`x`(%)->Boolean`dBasicOperator``1275593
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``1275647
ounbind`1`n`(%)->%`dLambda(UT)``1275698
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``1275789
ounderscore`0`x`()->%`dCharacter``1276015
oundirectedGraph`1`n`(FinitePoset(S))->%`dUndirectedGraph(S)``1276160
oundirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->%`dUndirectedGraph(S)``1276333
oundirectedGraph`1`n`(List(S))->%`dUndirectedGraph(S)``1276437
oundirectedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dUndirectedGraph(S)``1276707
oundirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dUndirectedGraph(S)``1276822
oundirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->%`dUndirectedGraph(S)``1276892
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->%`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->%`dXRecursivePolynomial(VarSet,R)``1277079
oungroup`1`n`(%)->List(%)`dTeXTree``1277141
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``1277210
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``1277249
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``1277288
ouniform01`0`n`()->Float`pRandomFloatDistributions``1277330
ounion`1`n`(List(%))->%`dSBoundary(PT)``1277370
ounion`2`n`(%,%)->%`dPatternMatchResult(R,S)``1277514
ounion`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xSetAggregate&(A,S)``0
ounion`2`n`(List(Kernel(F)),List(Kernel(F)))->List(Kernel(F))`pIntegrationTools(R,F)``1277582
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`x`(%,%)->%`cSetAggregate(S)``1277666
ounion`2`x`(%,S)->%`cSetAggregate(S)``1277794
ounion`2`x`(S,%)->%`cSetAggregate(S)``1277974
ounit?`1`n`(%)->Boolean`cAIntervalCategory(R)`AND(has(R,Field),has(R,OrderedRing))`1278154
ounit?`1`n`(S)->Boolean`xAIntervalCategory&(S,R)``0
ounit?`1`n`(S)->Boolean`xEntireRing&(S)``0
ounit?`1`x`(%)->Boolean`cEntireRing``1278291
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`x`()->Union(%,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1278381
ounit`1`x`(%)->R`dFactored(R)``1278491
ounit`1`x`(List(Float))->%`dDrawOption``1278558
ounit`2`n`(List(S),String)->%`cFiniteGraph(S)``1278710
ounit`2`n`(List(S),String)->A`xPoset&(A,S)``0
ounitCanonical`1`n`(S)->S`xEntireRing&(S)``0
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`x`(%)->%`cEntireRing``1278959
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xComplexCategory&(S,R)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xEntireRing&(S)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xField&(S)``0
ounitNormal`1`x`(%)->Record(unit:%,canonical:%,associate:%)`cEntireRing``1279030
ounitNormalize`1`x`(%)->%`dFactored(R)``1279334
ounitPart`1`n`(%)->Fraction(Integer)`dIntegerLocalizedAtPrime(p)``1279531
ounits`1`n`(%)->List(Float)`dGraphImage``1279681
ounits`2`n`(%,List(Float))->List(Float)`dGraphImage``1279862
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``1280153
ounits`3`n`(%,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``1280349
ounits`3`n`(%,PositiveInteger,String)->Void`dTwoDimensionalViewport``1280593
ounitsColorDefault`0`x`()->Palette`pViewDefaultsPackage``1280848
ounitsColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``1280944
ounitStep`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1281062
ounitStep`1`x`(%)->%`cSpecialFunctionCategory``1281153
ounitVector`1`n`(%)->%`cSPointCategory``1281244
ounitVector`1`n`(IS)->%`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1281374
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``1281416
ounitVector`1`x`(PositiveInteger)->%`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,Monoid))`1281561
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``1281655
ounivariate`1`x`(%)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``1281753
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1282014
ounivariate`2`n`(S,K)->Fraction(SparseUnivariatePolynomial(S))`xFunctionSpace2&(S,R,K)``0
ounivariate`2`x`(%,K)->Fraction(SparseUnivariatePolynomial(%))`cFunctionSpace2(R,K)`has(R,IntegralDomain)`1282116
ounivariate`2`x`(%,VarSet)->SparseUnivariatePolynomial(%)`cPolynomialCategory(R,E,VarSet)``1282209
ounivariate`2`x`(Fraction(Polynomial(R)),Symbol)->Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R))))`pRationalFunction(R)``1282412
ounivariate`2`x`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``1282514
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1282679
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``1282819
ounivariatePolynomial`2`n`(%,NonNegativeInteger)->UnivariatePolynomial('x,Coef)`dUnivariateFormalPowerSeries(Coef)``0
ounivariatePolynomial`2`n`(%,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``1282870
ounivariatePolynomial`2`n`(%,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``1283027
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1283184
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1283343
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1283523
ounivariateSolve`1`x`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1283767
ounivariateSolve`1`x`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1283870
ounivariateSolve`2`x`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1284041
ounivariateSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1284151
ounivariateSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1284270
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1285050
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`x`()->%`cFiniteSetAggregate(S)`has(S,Finite)`1285089
ounkextint`3`n`((List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``1285185
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`x`(SparseUnivariatePolynomial(R))->%`cUnivariatePolynomialCategory(R)``1285332
ounpack_poly`5`n`(List(Symbol),SortedExponentVector,PrimitiveArray(Integer),Integer,Integer)->SparseUnivariatePolynomial(Polynomial(Integer))`pModularHermitePade``1285491
ounparse`1`n`(%)->String`dInputForm``1285777
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1285942
ounrankImproperPartitions0`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1286283
ounrankImproperPartitions1`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1286764
ounravel`1`x`(List(R))->%`dCartesianTensor(minix,dim,R)``1287317
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``1287440
oUnVectorise`1`n`(Vector(R))->%`dModMonic(R,Rep)``1287566
ounvectorise`1`n`(Vector(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounvectorise`1`x`(Vector(R))->%`cUnivariatePolynomialCategory(R)``1287641
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``1287769
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``1287996
oupdatD`2`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)),List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``1288058
oupdate!`2`n`(%,SingleInteger)->%`dHashState``1288093
oupdate`3`n`(%,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1288238
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupdateStatus!`1`n`(%)->%`dSplittingTree(V,C)``1288418
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,Dpol)``1288544
oupperCase!`1`x`(%)->%`cStringAggregate``1288579
oupperCase?`1`x`(%)->Boolean`dCharacter``1288708
oupperCase`0`x`()->%`dCharacterClass``1288817
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase`1`x`(%)->%`cStringAggregate``1288941
oupperCase`1`x`(%)->%`dCharacter``1289022
oupperSet`1`n`(%)->%`cPoset(S)``1289189
ouppertriangular?`2`n`(%,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1289327
oUpsilon`0`n`()->Symbol`pMathematicalSymbols``1289405
oupsilon`0`n`()->Symbol`pMathematicalSymbols``1289478
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``1289549
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1289757
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1289886
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``1290081
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1290216
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1290386
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``1290604
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``1290679
ovalidate`1`n`(%)->Boolean`dChainComplex``1290780
ovalidate`1`n`(%)->Boolean`dCoChainComplex(VS)``1290894
ovalidExponential`3`x`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``1291019
ovalue`1`n`(%)->SingleInteger`dHashState``1291174
ovalue`1`n`(%)->Symbol`dILogic``1291267
ovalue`1`n`(%)->Symbol`dLatticeJoinOfMeets``1291539
ovalue`1`n`(%)->Symbol`dLatticeMeetOfJoins``1291811
ovalue`1`n`(%)->V`dSplittingNode(V,C)``1292083
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`x`(%)->Integer`dOrdSetInts``1292146
ovalue`1`x`(%)->S`cRecursiveAggregate(S)``1292214
ovalue`1`x`(%)->String`dQueryEquation``1292277
ovalues`0`n`()->NonNegativeInteger`pRecurrenceOperator(R,F)``1292367
ovalues`1`n`(NonNegativeInteger)->NonNegativeInteger`pRecurrenceOperator(R,F)``1292447
ovar`1`n`(String)->%`cVarCat``1292524
ovar`2`n`(String,ILogic)->%`cVarCat``1292576
ovar1Steps`1`x`(PositiveInteger)->%`dDrawOption``1292632
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1292796
ovar1StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1293001
ovar1StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1293269
ovar2Steps`1`x`(PositiveInteger)->%`dDrawOption``1293528
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1293693
ovar2StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1293898
ovar2StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1294166
ovariable?`1`n`(%)->Boolean`dSKICombinators(UT)``1294425
ovariable`0`n`()->Symbol`dVariable(sym)``1294474
ovariable`1`n`(String)->%`dLatticeJoinOfMeets``1294518
ovariable`1`n`(String)->%`dLatticeMeetOfJoins``1294546
ovariable`1`n`(Symbol)->Union(%,"failed")`dOrderedVariableList(VariableList)``1294574
ovariable`1`x`(%)->S`cDifferentialVariableCategory(S)``1294647
ovariable`1`x`(%)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``1294764
ovariable`1`x`(%)->Symbol`dQueryEquation``1294863
ovariable`1`x`(%)->Symbol`dSegmentBinding(S)``1294958
ovariableName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``1295157
ovariableName`1`x`(Symbol)->%`dGuessOption``1295285
ovariableOf`1`n`(%)->Symbol`dSimpleCell(TheField,ThePols)``1295446
ovariables`1`n`(%)->List(%)`dPattern(R)``1295503
ovariables`1`n`(%)->List(FreeMonoid(VAR))`dFreeDivisionAlgebra(VAR,F)``1295592
ovariables`1`n`(%)->List(Symbol)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1295652
ovariables`1`n`(%)->List(VarSet)`cMaybeSkewPolynomialCategory(R,E,VarSet)``1295727
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1295837
ovariables`1`n`(List(S))->List(Symbol)`xFunctionSpace2&(S,R,K)``0
ovariables`1`n`(NonNegativeInteger)->List(%)`cJetBundleCategory``1295953
ovariables`1`n`(NonNegativeInteger)->List(S)`xJetBundleCategory&(S)``0
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePolynomialCategory&(S,R)``0
ovariables`1`n`(S)->List(Symbol)`xFunctionSpace2&(S,R,K)``0
ovariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ovariables`1`n`(SparseUnivariatePolynomial(P))->List(OV)`pFactoringUtilities(E,OV,R,P)``1296041
ovariables`1`x`(%)->List(Symbol)`cFunctionSpace2(R,K)``1296140
ovariables`1`x`(%)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``1296218
ovariables`1`x`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``1296353
ovariables`1`x`(List(%))->List(Symbol)`cFunctionSpace2(R,K)``1296469
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(%)`cJetBundleCategory``1296576
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(S)`xJetBundleCategory&(S)``0
ovariablesOf`1`n`(%)->List(Symbol)`dCell(TheField)``1296701
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``1296768
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1297123
ovarList`1`n`(%)->List(S)`dFreeMonoid(S)`has(S,BasicType)`1297245
ovarList`1`n`(%)->List(VarSet)`dFreeMagma(VarSet)``1297313
ovarList`1`n`(%)->List(VarSet)`dLieExponentials(VarSet,R,Order)``1297388
ovarList`1`n`(%)->List(VarSet)`dLyndonWord(VarSet)``1297456
ovarList`1`n`(%)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``1297531
ovarList`1`x`(%)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``1297635
ovarList`1`x`(%)->List(vl)`cXFreeAlgebra(vl,R)``1297710
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1297791
ovconcat`1`n`((Integer,List(OutputForm))->OutputBox)->(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1297879
ovconcat`1`n`(List(%))->%`dOutputForm``1298133
ovconcat`2`n`(%,%)->%`dOutputForm``1298210
ovconcat`2`n`(List(%),NonNegativeInteger)->%`dOutputBox``1298291
ovconcat`3`n`(List(%),NonNegativeInteger,Integer)->%`dOutputBox``1298357
ovector_add_mul`6`n`(U32Vector,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1298808
ovector_combination`7`n`(U32Vector,Integer,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1298977
ovector`1`n`(%)->Matrix(F)`dFreeDivisionAlgebra(VAR,F)``1299157
ovector`1`n`(%)->Matrix(XDistributedPolynomial(VAR,F))`dFreeDivisionAlgebra(VAR,F)``1299224
ovector`1`n`(List(Complex(DoubleFloat)))->%`dComplexDoubleFloatVector``1299291
ovector`1`x`(List(R))->%`dVector(R)``1299355
oVectorise`1`n`(%)->Vector(R)`dModMonic(R,Rep)``1299419
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`x`(%,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``1299496
overtConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`1`x`(List(%))->%`cTwoDimensionalArrayCategory(R,Row,Col)``1299699
overtConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`2`x`(%,%)->%`cTwoDimensionalArrayCategory(R,Row,Col)``1299836
overtSplit`2`n`(S,List(NonNegativeInteger))->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtSplit`2`n`(S,PositiveInteger)->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtSplit`2`x`(%,List(NonNegativeInteger))->List(%)`cTwoDimensionalArrayCategory(R,Row,Col)``1300061
overtSplit`2`x`(%,PositiveInteger)->List(%)`cTwoDimensionalArrayCategory(R,Row,Col)``1300246
oviewDefaults`0`x`()->Void`pViewDefaultsPackage``1300390
oviewDeltaXDefault`0`x`()->Float`dThreeDimensionalViewport``1300461
oviewDeltaXDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1300581
oviewDeltaYDefault`0`x`()->Float`dThreeDimensionalViewport``1300738
oviewDeltaYDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1300856
oviewPhiDefault`0`x`()->Float`dThreeDimensionalViewport``1301011
oviewPhiDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1301105
oviewpoint`1`x`(%)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``1301240
oviewpoint`1`x`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->%`dDrawOption``1301595
oviewpoint`2`n`(List(DrawOption),Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`pDrawOptionFunctions0``1301847
oviewpoint`2`x`(%,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``1302054
oviewpoint`3`x`(%,Float,Float)->Void`dThreeDimensionalViewport``1302306
oviewpoint`4`x`(%,Float,Float,Float)->Void`dThreeDimensionalViewport``1302656
oviewpoint`6`x`(%,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``1303048
oviewpoint`6`x`(%,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``1303528
oviewport2D`0`n`()->%`dTwoDimensionalViewport``1304008
oviewport3D`0`x`()->%`dThreeDimensionalViewport``1304155
oviewPosDefault`0`x`()->List(NonNegativeInteger)`pViewDefaultsPackage``1304306
oviewPosDefault`1`x`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``1304512
oviewSizeDefault`0`x`()->List(PositiveInteger)`pViewDefaultsPackage``1304740
oviewSizeDefault`1`x`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``1304819
oviewThetaDefault`0`x`()->Float`dThreeDimensionalViewport``1304925
oviewThetaDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1305022
oviewWriteAvailable`0`x`()->List(String)`pViewDefaultsPackage``1305160
oviewWriteDefault`0`x`()->List(String)`pViewDefaultsPackage``1305277
oviewWriteDefault`1`x`(List(String))->List(String)`pViewDefaultsPackage``1305409
oviewZoomDefault`0`x`()->Float`dThreeDimensionalViewport``1305574
oviewZoomDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1305655
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,Dpol)``1305767
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pNGroebnerPackage(Dom,Expon,Dpol)``1305809
ovoid`0`x`()->%`dVoid``1305830
ovspace`1`n`(Integer)->%`dOutputForm``1305875
oVSUPI_to_VPA`2`n`(Vector(SparseUnivariatePolynomial(Integer)),Integer)->Vector(U32Vector)`pModularHermitePade``1305939
oVSUPPI_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(Polynomial(Integer))),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePade``1305965
oVSUPS_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(S)),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePadeSolver(F,S)``1305991
oweakBiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1306016
oweberE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1306186
oweberE`2`x`(%,%)->%`cSpecialFunctionCategory``1306245
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``1306304
oweierstrassHalfPeriods`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1306578
oweierstrassInvariants`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1306717
oweierstrassP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1306876
oweierstrassP`3`x`(%,%,%)->%`cSpecialFunctionCategory``1306952
oweierstrassP`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1307028
oweierstrassP`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1307103
oweierstrassP0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1307178
oweierstrassPInverse`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1307326
oweierstrassPInverse`3`x`(%,%,%)->%`cSpecialFunctionCategory``1307508
oweierstrassPPrime`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1307690
oweierstrassPPrime`3`x`(%,%,%)->%`cSpecialFunctionCategory``1307785
oweierstrassPPrime`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1307880
oweierstrassPPrime`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1307978
oweierstrassPPrime0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1308076
oweierstrassSigma`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1308234
oweierstrassSigma`3`x`(%,%,%)->%`cSpecialFunctionCategory``1308311
oweierstrassSigma0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1308388
oweierstrassZeta`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1308529
oweierstrassZeta`3`x`(%,%,%)->%`cSpecialFunctionCategory``1308604
oweierstrassZeta0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1308679
oweight`1`n`(%)->NonNegativeInteger`cJetBundleCategory``1308833
oweight`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialVariableCategory&(A,S)``0
oweight`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oweight`1`x`(%)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1309022
oweight`1`x`(%)->NonNegativeInteger`cDifferentialVariableCategory(S)``1309154
oweight`1`x`(%)->NonNegativeInteger`dBasicOperator``1309225
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`x`(%,NonNegativeInteger)->%`dBasicOperator``1309292
oweight`2`x`(%,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1309363
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``1309600
oweightedDistanceMatrix`1`n`(%)->TwoDimensionalArray(Union(W,"disjoint"))`dWeightedGraph(S,W)``1309640
oweightedGraph`1`n`(FinitePoset(S))->%`dWeightedGraph(S,W)``1309826
oweightedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,weight:W)))->%`dWeightedGraph(S,W)``1309977
oweightedGraph`1`n`(List(S))->%`dWeightedGraph(S,W)``1310081
oweightedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,weight:W)),List(Record(name:String,weight:W,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dWeightedGraph(S,W)``1310351
oweightedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->%`dWeightedGraph(S,W)``1310491
oweightedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->%`dWeightedGraph(S,W)``1310606
oweightedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->%`dWeightedGraph(S,W)``1310676
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`x`(%)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1310861
oweights`2`n`(A,S)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`2`x`(%,S)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1310985
owhatInfinity`1`x`(%)->SingleInteger`dOrderedCompletion(R)``1311218
owhileLoop`2`n`(Switch,%)->%`dFortranCode``1311349
owhittakerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1311412
owhittakerM`3`x`(%,%,%)->%`cSpecialFunctionCategory``1311482
owhittakerW`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1311552
owhittakerW`3`x`(%,%,%)->%`cSpecialFunctionCategory``1311622
owholePart`1`x`(%)->Integer`cRealNumberSystem``1311692
owholePart`1`x`(%)->R`dContinuedFraction(R)``1311756
owholePart`1`x`(%)->R`dPartialFraction(R)``1311935
owholePart`1`x`(%)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`1312020
owholeRadix`1`x`(List(Integer))->%`dRadixExpansion(bb)``1312173
owholeRagits`1`x`(%)->List(Integer)`dRadixExpansion(bb)``1312326
owidth`1`n`(%)->NonNegativeInteger`dOutputBox``1312417
owidth`1`n`(%)->R`cAIntervalCategory(R)`has(R,OrderedAbelianGroup)`1312479
owidth`1`n`(S)->R`xAIntervalCategory&(S,R)``0
owignerDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``1312534
owilsonW`6`n`(F,F,F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``1312623
owilsonW`6`x`(%,%,%,%,%,%)->%`cSpecialFunctionCategory``1312689
owithPredicates`2`n`(%,List(Any))->%`dPattern(R)``1312755
owordInGenerators`2`x`(Permutation(S),%)->List(NonNegativeInteger)`dPermutationGroup(S)``1312918
owordInStrongGenerators`2`x`(Permutation(S),%)->List(NonNegativeInteger)`dPermutationGroup(S)``1313119
owordsForStrongGenerators`1`x`(%)->List(List(NonNegativeInteger))`dPermutationGroup(S)``1313330
owreath`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1313548
owritable?`1`x`(%)->Boolean`cFileNameCategory``1313713
owrite!`2`n`(%,None)->Void`dBasicFile``1313830
owrite!`2`x`(%,S)->S`cFileCategory(Name,S)``1313872
owrite!`3`n`(%,String,None)->Void`dBasicKeyedAccessFile``1314049
owrite`2`n`(%,String)->String`dTwoDimensionalViewport``1314112
owrite`2`x`(%,String)->String`dThreeDimensionalViewport``1314341
owrite`3`n`(%,String,List(String))->String`dTwoDimensionalViewport``1314573
owrite`3`n`(%,String,String)->String`dTwoDimensionalViewport``1314866
owrite`3`x`(%,String,List(String))->String`dThreeDimensionalViewport``1315133
owrite`3`x`(%,String,String)->String`dThreeDimensionalViewport``1315429
owriteCategory`4`n`(List(ILogic),String,String,String)->Void`pcompCode``1315699
owriteLine!`1`x`(%)->String`dTextFile``1315735
owriteLine!`2`x`(%,String)->String`dTextFile``1315912
owriteObj`2`n`(%,String)->Void`dScene(PT)``1316073
owriteObj`2`n`(SubSpace(3,DoubleFloat),String)->Void`pExport3D``1316197
owritePackage`5`n`(List(Lambda(Typed)),String,String,String,String)->Void`pcompCode``1316260
owriteSvg`2`n`(%,String)->Void`dScene(PT)``1316295
owriteSvgQuantised`2`n`(%,String)->Void`dScene(PT)``1316407
owriteVRML`2`n`(%,String)->Void`dScene(PT)``1316528
owriteVRML`2`n`(XmlElement,String)->Void`pExportXml``1316642
owriteX3d`2`n`(%,String)->Void`dScene(PT)``1316926
owriteXml`2`n`(XmlElement,String)->Void`pExportXml``1317040
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``1317253
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``1317391
owrregime`2`n`(List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1317532
oX`0`n`()->%`cJetBundleCategory``1317653
oX`0`n`()->%`cJetBundleFunctionCategory(JB)``0
oX`0`n`()->S`xJetBundleCategory&(S)``0
oX`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oX`1`n`(PositiveInteger)->%`cJetBundleCategory``1317712
oX`1`n`(PositiveInteger)->%`cJetBundleFunctionCategory(JB)``0
oX`1`n`(PositiveInteger)->S`xJetBundleCategory&(S)``0
oX`1`n`(PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``1317786
oxform`2`n`(%,PT)->PT`dSTransform(PT)``1318036
oxftestComplexEquals`2`n`(String,String)->Void`pUnittest``1318117
oxftestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1318192
oxftestEquals`2`n`(String,String)->Void`pUnittest``1318273
oxftestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1318335
oxftestLibraryError`1`n`(String)->Void`pUnittest``1318400
oxftestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1318474
oxftestNotEquals`2`n`(String,String)->Void`pUnittest``1318577
oxftestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1318645
oxftestRealEquals`2`n`(String,String)->Void`pUnittest``1318713
oxftestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1318783
oxftestTrue`1`n`(String)->Void`pUnittest``1318859
oxftestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1318917
oXi`0`n`()->Symbol`pMathematicalSymbols``1318981
oxi`0`n`()->Symbol`pMathematicalSymbols``1319059
oxmlAttribute`2`n`(String,List(String))->%`dXmlAttribute``1319135
oxmlAttribute`2`n`(String,String)->%`dXmlAttribute``1319243
oxmlElement`3`n`(String,List(%),List(XmlAttribute))->%`dXmlElement``1319340
oxmlElement`3`n`(String,String,List(XmlAttribute))->%`dXmlElement``1319447
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``1319540
oxor`2`x`(%,%)->%`cBitAggregate``1319598
oxor`2`x`(%,%)->%`dBoolean``1319703
oxor`2`x`(%,%)->%`dSingleInteger``1319801
oxRange`1`x`(%)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1319913
oxRange`1`x`(%)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1320021
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``1320129
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``1320198
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1320358
oyCoordinates`1`n`(S)->Record(num:Vector(UP),den:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oyCoordinates`1`x`(%)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``1320610
oyellow`0`x`()->%`dColor``1320730
oyoungGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1320810
oyoungGroup`1`x`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1320932
oyRange`1`x`(%)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1321070
oyRange`1`x`(%)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1321178
ozag`2`n`(%,%)->%`dOutputForm``1321286
ozag`2`n`(Integer,List(OutputForm))->OutputBox`cFormatterCategory``1321386
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1321493
ozero?`1`n`(%)->Boolean`cAIntervalCategory(R)`has(R,OrderedAbelianMonoid)`1321761
ozero?`1`n`(MPT)->Boolean`cModularAlgebraicGcdOperations(MP,MPT,MD)``1321825
ozero?`1`n`(S)->Boolean`xAbelianMonoid&(S)``0
ozero?`1`n`(S)->Boolean`xAIntervalCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
ozero?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
ozero?`1`n`(S)->Boolean`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
ozero?`1`n`(S)->Boolean`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ozero?`1`n`(S)->Boolean`xVectorCategory&(S,R)``0
ozero?`1`x`(%)->Boolean`cAbelianMonoid``1321877
ozero?`1`x`(%)->Boolean`cMatrixOperationsCategory(R,Row,Col)`has(R,AbelianMonoid)`1321934
ozero?`1`x`(%)->Boolean`cVectorCategory(R)`has(R,AbelianMonoid)`1322034
ozero?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1322132
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero?`2`x`(ThePols,%)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1322207
ozero?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dFreeDivisionAlgebra(VAR,F)``1322302
ozero?`3`n`(%,NonNegativeInteger,NonNegativeInteger)->Boolean`dLinearMultivariateMatrixPencil(R)``1322362
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero`1`x`(NonNegativeInteger)->%`cVectorCategory(R)`has(R,AbelianMonoid)`1322478
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero`2`x`(NonNegativeInteger,NonNegativeInteger)->%`cMatrixCategory(R,Row,Col)``1322543
ozeroDim?`1`x`(%)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1322614
ozeroDim?`2`x`(%,List(VarSet))->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1322826
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1322992
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1323150
ozeroDimPrimary?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1323301
ozeroDimPrime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1323389
ozeroMatrix`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->%`dThreeDimensionalMatrix(R)`has(R,Ring)`1323475
ozeroMatrix`3`n`(Symbol,Polynomial(Integer),Polynomial(Integer))->FortranCode`pFortranCodePackage1``1323546
ozeroMatrix`3`n`(Symbol,SegmentBinding(Polynomial(Integer)),SegmentBinding(Polynomial(Integer)))->FortranCode`pFortranCodePackage1``1323641
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`x`(%)->%`cAlgebraicallyClosedFunctionSpace(R)``1323762
ozeroOf`1`x`(Polynomial(%))->%`cAlgebraicallyClosedField``1323993
ozeroOf`1`x`(SparseUnivariatePolynomial(%))->%`cAlgebraicallyClosedField``1324223
ozeroOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`x`(%,Symbol)->%`cAlgebraicallyClosedFunctionSpace(R)``1324397
ozeroOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->%`cAlgebraicallyClosedField``1324612
ozeroSetSplit`1`x`(List(P))->List(%)`cTriangularSetCategory(R,E,V,P)``1324817
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1325014
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1325353
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1325704
ozeroSetSplit`2`x`(List(P),Boolean)->List(%)`cRegularTriangularSetCategory(R,E,V,P)``1325849
ozeroSetSplit`3`x`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(%)`dRegularChain(R,ls)``1326349
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``1326848
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``1327167
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(%)`dRegularTriangularSet(R,E,V,P)``1327530
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(%)`dSquareFreeRegularTriangularSet(R,E,V,P)``1327635
ozeroSetSplitIntoTriangularSystems`1`x`(List(P))->List(Record(close:%,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1327740
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`x`(%)->List(%)`cAlgebraicallyClosedFunctionSpace(R)``1328052
ozerosOf`1`x`(Polynomial(%))->List(%)`cAlgebraicallyClosedField``1328384
ozerosOf`1`x`(SparseUnivariatePolynomial(%))->List(%)`cAlgebraicallyClosedField``1328736
ozerosOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`x`(%,Symbol)->List(%)`cAlgebraicallyClosedFunctionSpace(R)``1329032
ozerosOf`2`x`(SparseUnivariatePolynomial(%),Symbol)->List(%)`cAlgebraicallyClosedField``1329378
ozeroSquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1329720
ozeroVector`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1329774
ozeta`0`n`()->%`dDirichletRing(Coef)``1329822
oZeta`0`n`()->Symbol`pMathematicalSymbols``1329889
ozeta`0`n`()->Symbol`pMathematicalSymbols``1329957
ozetaMatrix`1`n`(%)->IncidenceAlgebra(Integer,S)`cPoset(S)``1330023
ozetaMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ozoom`2`n`(%,Segment(DoubleFloat))->%`dPlot``1330267
ozoom`2`x`(%,Float)->Void`dThreeDimensionalViewport``1330307
ozoom`3`n`(%,Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot``1330463
ozoom`4`n`(%,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->%`dPlot3D``1330506
ozoom`4`x`(%,Float,Float,Float)->Void`dThreeDimensionalViewport``1330552
ozRange`1`x`(%)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1330840
pAlgebraicFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`AF`1330948
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1331023
pAlgebraicIntegrate`5`n`(R0:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`INTALG`1331060
pAlgebraicIntegrate2`5`n`(R0:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`INTALG2`1331150
pAlgebraicIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1331314
pAlgebraicManipulations`2`x`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1331429
pAlgebraicMultFact`3`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1331545
pAlgebraPackage`2`x`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1331757
pAlgFactor`1`x`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1331842
pAnyFunctions1`1`x`(Type)->etc`(S)`ANY1`1331939
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1332150
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1332236
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1332365
pAttachPredicates`1`x`(Type)->etc`(D)`PMPRED`1332490
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1332578
pBasicOperatorFunctions1`1`x`(SetCategory)->etc`(A)`BOP1`1332648
pBezoutMatrix`5`n`(R:Ring,UP:UnivariatePolynomialCategory(R),M:MatrixCategory(R,Row,Col),FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(R,UP,M,Row,Col)`BEZOUT`1332784
pBezoutMatrixWrapper`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BEZOUT2`1332963
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1333060
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1333175
pBrowserInformation`0`n`()->etc``BRINFO`1333238
pCartanKuranishi`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`CKP`1333327
pCartesianTensorFunctions2`4`x`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1333599
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1333707
pCharacteristicPolynomial`1`n`(CommutativeRing)->etc`(R)`CHARPOL0`1333772
pCharacteristicPolynomial2`1`n`(Field)->etc`(F)`CHARPOL2`1333871
pCharacteristicPolynomial3`1`n`(IntegralDomain)->etc`(R)`CHARPOL3`1333952
pCharacteristicPolynomial4`1`n`(Ring)->etc`(R)`CHARPOL4`1334264
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1334353
pCharacteristicPolynomialPackage`1`x`(CommutativeRing)->etc`(R)`CHARPOL`1334451
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1334557
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1334611
pCombinatorialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`COMBF`1334699
pCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1334765
pCommonOperators`0`n`()->etc``COMMONOP`1334930
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1335135
pcompCode`0`n`()->etc``COMPCODE`1335252
pComplexFunctions2`2`x`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1336081
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1336179
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1336306
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1336379
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1336457
pComplexRootPackage`2`x`(UnivariatePolynomialCategory(Complex(Integer)),Par:Join(Field,etc))->etc`(UP,Par)`CMPLXRT`1337226
pComplexTrigonometricManipulations`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`CTRIGMNP`1337587
pcompUtil`1`n`(VarCat)->etc`(UT)`COMPUTIL`1337723
pConstantLinearDependence`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`CLINDEP`1338421
pConstantLODE`3`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1338870
pCoordinateSystems`1`x`(Join(Field,etc))->etc`(R)`COORDSYS`1338957
pCRApackage`1`x`(EuclideanDomain)->etc`(R)`CRAPACK`1339216
pCubicalComplexFactory`0`n`()->etc``CUBECF`1339296
pCycleIndicators`0`x`()->etc``CYCLES`1339468
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1339506
pCyclotomicUtilities`0`n`()->etc``CYCLOT2`1339575
pCylindricalAlgebraicDecompositionPackage`1`n`(RealClosedField)->etc`(TheField)`CAD`1339639
pCylindricalAlgebraicDecompositionUtilities`2`n`(R:GcdDomain,P:UnivariatePolynomialCategory(R))->etc`(R,P)`CADU`1339712
pDefiniteIntegrationTools`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DFINTTLS`1339807
pDegreeReductionPackage`2`n`(Ring,R2:Join(Comparable,etc))->etc`(R1,R2)`DEGRED`1339949
pDeltaComplexFactory`1`n`(AbelianGroup)->etc`(VS)`DELTCF`1339986
pDenominatorIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTDEN`1340125
pDiophantineSolutionPackage`0`x`()->etc``DIOSP`1340238
pDirectProductFunctions2`3`x`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1340954
pDiscreteLogarithmPackage`1`n`(Join(Monoid,etc))->etc`(M)`DLP`1341259
pDisplayPackage`0`x`()->etc``DISPLAY`1341380
pDistributionContinuedFractionPackage`2`x`(CommutativeRing,z:Symbol)->etc`(R,z)`DSTCFPG`1341484
pDistributionFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`DISTRO2`1341562
pDistributionPackage`1`x`(CommutativeRing)->etc`(R)`DISTEX`1341626
pDistributionPolynomialPackage`3`x`(R:CommutativeRing,S:Join(CommutativeRing,etc),UPS:UnivariatePolynomialCategory(S))->etc`(R,S,UPS)`DISTPOL`1341665
pDoubleFloatElementaryFunctions`0`n`()->etc``DFELEM`1341793
pDoubleFloatEllipticIntegrals`0`x`()->etc``ELIPIDF`1341890
pDoubleFloatSpecialFunctions`0`x`()->etc``DFSFUN`1342161
pDoubleFloatSpecialFunctions2`0`x`()->etc``DFSFUN2`1342263
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1342357
pDrawComplex`0`x`()->etc``DRAWCX`1342461
pDrawNumericHack`1`x`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1342548
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1342965
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1343002
pEigenPackage`1`x`(GcdDomain)->etc`(R)`EP`1343039
pElementaryFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1343323
pElementaryFunctionDefiniteIntegration`2`x`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1343386
pElementaryFunctionLODESolver`3`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1343517
pElementaryFunctionODESolver`2`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1343698
pElementaryFunctionSign`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1343871
pElementaryFunctionStructurePackage`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1343987
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1344279
pElementaryRischDEX`2`n`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX`1344440
pElementaryRischDEX2`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX2`1344554
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Join(Field,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1344621
pEquationFunctions2`2`x`(Type,R:Type)->etc`(S,R)`EQ2`1344718
pErrorFunctions`0`x`()->etc``ERROR`1344795
pEuclideanGroebnerBasisPackage`4`x`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1346738
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1347586
pExport3D`0`n`()->etc``EXP3D`1347731
pExportXml`0`n`()->etc``XML`1347828
pExpressionFactorPolynomial`2`n`(R:Join(GcdDomain,etc),F:FunctionSpace(R))->etc`(R,F)`EFACTOR`1347887
pExpressionFunctions2`2`x`(Join(Ring,etc),S:Join(Ring,etc))->etc`(R,S)`EXPR2`1347959
pExpressionLinearSolve`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`ELINSOL`1348025
pExpressionSolve`4`n`(R:Join(Comparable,etc),F:FunctionSpace(R),UTSF:UnivariateTaylorSeriesCategory(F),UnivariateTaylorSeriesCategory(SparseMultivariatePolynomialExpressions(F)))->etc`(R,F,UTSF,UTSSMPF)`EXPRSOL`0
pExpressionSpaceFunctions1`2`n`(ExpressionSpace,S:Type)->etc`(F,S)`ES1`1348183
pExpressionSpaceFunctions2`2`x`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1348363
pExpressionSpaceODESolver`2`x`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1348656
pExpressionToOpenMath`1`x`(Join(OpenMath,etc))->etc`(R)`OMEXPR`1348714
pExpressionToUnivariatePowerSeries`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1348839
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1348930
pExtendedPolynomialReduction`3`n`(C:GcdDomain,E:OrderedAbelianMonoidSup,R:Join(FiniteAbelianMonoidRing(C,E),etc))->etc`(C,E,R)`EXTRED`1349009
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1349385
pFactoredFunctions2`2`x`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1349443
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1349716
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1349830
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1349993
pFileSerialization`0`n`()->etc``FILSER`1350299
pFindOrderFinite`4`n`(F:Join(Finite,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`FORDER`1350392
pFiniteAbelianMonoidRingFunctions2`5`n`(E:OrderedAbelianMonoid,R1:Ring,A1:FiniteAbelianMonoidRing(R1,E),R2:Ring,A2:FiniteAbelianMonoidRing(R2,E))->etc`(E,R1,A1,R2,A2)`FAMR2`1350463
pFiniteDivisorFunctions2`8`x`(R1:Field,UP1:UnivariatePolynomialCategory(R1),UPUP1:UnivariatePolynomialCategory(Fraction(UP1)),F1:FunctionFieldCategory(R1,UP1,UPUP1),R2:Field,UP2:UnivariatePolynomialCategory(R2),UPUP2:UnivariatePolynomialCategory(Fraction(UP2)),F2:FunctionFieldCategory(R2,UP2,UPUP2))->etc`(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)`FDIV2`1350551
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1350590
pFiniteFieldHomomorphisms`3`x`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1350765
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1351003
pFiniteFieldPolynomialPackage2`2`x`(Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1351163
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1351435
pFiniteGroupPackage`1`n`(Join(Group,etc))->etc`(G)`FINGPKG`1351537
pFiniteLinearAggregateFunctions2`4`x`(S:Type,A:Join(LinearAggregate(S),etc),R:Type,B:Join(LinearAggregate(R),etc))->etc`(S,A,R,B)`FLAGG2`1351605
pFiniteLinearAggregateSort`2`x`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1351918
pFiniteSetAggregateFunctions2`4`x`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1352008
pFloatElementaryFunctions`0`n`()->etc``FELEM`1352311
pFloatEllipticFunctions`0`x`()->etc``FELFUN`1352432
pFloatingComplexPackage`1`x`(Join(Field,etc))->etc`(Par)`FLOATCP`1352566
pFloatingPointConvertion`0`n`()->etc``FOUT`1352912
pFloatingPointOperations`0`n`()->etc``FLOOPS`1353013
pFloatingRealPackage`1`x`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1353126
pFloatLiouvilianFunctions`0`x`()->etc``FLIOUFUN`1353433
pFloatSpecialFunctions`0`x`()->etc``FSFUN`1353522
pFortranCodePackage1`0`n`()->etc``FCPAK1`1353605
pFortranCodeTools`0`n`()->etc``FCTOOL`1354212
pFortranOutputStackPackage`0`n`()->etc``FOP`1354263
pFractionalIdealFunctions2`8`x`(R1:EuclideanDomain,F1:QuotientFieldCategory(R1),U1:UnivariatePolynomialCategory(F1),A1:Join(FramedAlgebra(F1,U1),etc),R2:EuclideanDomain,F2:QuotientFieldCategory(R2),U2:UnivariatePolynomialCategory(F2),A2:Join(FramedAlgebra(F2,U2),etc))->etc`(R1,F1,U1,A1,R2,F2,U2,A2)`FRIDEAL2`1354311
pFractionFreeFastGaussian`2`n`(D:Join(IntegralDomain,etc),V:AbelianMonoidRing(D,NonNegativeInteger))->etc`(D,V)`FFFG`1354362
pFractionFreeFastGaussianFractions`3`n`(D:Join(IntegralDomain,etc),V:FiniteAbelianMonoidRing(D,NonNegativeInteger),VF:FiniteAbelianMonoidRing(Fraction(D),NonNegativeInteger))->etc`(D,V,VF)`FFFGF`1354603
pFractionFunctions2`2`x`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1354713
pFramedNonAssociativeAlgebraFunctions2`4`x`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1354875
pFreeModuleCoefficientFunctions2`5`x`(R1:Join(SemiRng,etc),R2:Join(SemiRng,etc),S:Comparable,M1:FreeModuleCategory(R1,S),M2:FreeModuleCategory(R2,S))->etc`(R1,R2,S,M1,M2)`FMCF2`1355143
pFreeModuleFunctions2`4`x`(R:CommutativeRing,S:Comparable,M1:FreeModuleCategory(R,S),M2:Module(R))->etc`(R,S,M1,M2)`FM2`1355235
pFunctionalSpecialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSPECF`1355282
pFunctionFieldCategoryFunctions2`8`x`(R1:UniqueFactorizationDomain,UP1:UnivariatePolynomialCategory(R1),UPUP1:UnivariatePolynomialCategory(Fraction(UP1)),F1:FunctionFieldCategory(R1,UP1,UPUP1),R2:UniqueFactorizationDomain,UP2:UnivariatePolynomialCategory(R2),UPUP2:UnivariatePolynomialCategory(Fraction(UP2)),F2:FunctionFieldCategory(R2,UP2,UPUP2))->etc`(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)`FFCAT2`1355347
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1355408
pFunctionSpaceAssertions`2`x`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1355802
pFunctionSpaceAttachPredicates`3`x`(R:Comparable,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1355890
pFunctionSpaceComplexIntegration`2`x`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1355978
pFunctionSpaceComplexIntegrationAux`2`n`(G:Join(GcdDomain,etc),FG:Join(TranscendentalFunctionCategory,etc))->etc`(G,FG)`FSCINTA`1356108
pFunctionSpaceFunctions2`4`x`(R:Join(Ring,etc),A:FunctionSpace(R),S:Join(Ring,etc),B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1356241
pFunctionSpaceIntegration`2`x`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1356404
pFunctionSpacePrimitiveElement`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1356524
pFunctionSpaceRationalRoots`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSRROOT`1356633
pFunctionSpaceReduce`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSRED`1356734
pFunctionSpaceSum`2`x`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1356945
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1356993
pFunctionSpaceToUnivariatePowerSeries`8`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:OrderedRing,UPS:Join(UnivariatePowerSeriesCategory(FE,Expon),etc),PartialTranscendentalFunctions(UPS),UTS:UnivariateTaylorSeriesCategory(FE),TaylorSeriesExpansion(FE,Expon,SingletonAsOrderedSet,UPS,UTS),Symbol)->etc`(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)`FS2UPS`1357085
pFunctionSpaceToUnivariatePowerSeries2`9`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:OrderedRing,UPS:Join(UnivariatePowerSeriesCategory(FE,Expon),etc),PartialTranscendentalFunctions(UPS),UTS:UnivariateTaylorSeriesCategory(FE),TaylorSeriesExpansion(FE,Expon,SingletonAsOrderedSet,UPS,UTS),(Expon)->FE,Symbol)->etc`(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)`FS2UPS2`1357501
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1357917
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1358026
pGaloisGroupFactorizerSeparate`2`n`(PositiveInteger,UP:UnivariatePolynomialCategory(Integer))->etc`(p,UP)`GALFACS`1358108
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1358149
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1358356
pGaussianFactorizationPackage`0`x`()->etc``GAUSSFAC`1358431
pGcdBasis`1`n`(GcdDomain)->etc`(R)`GCDBAS`1358502
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1358648
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1358794
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1358944
pGenerateEllipticIntegrals`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:Join(Field,etc))->etc`(F,UP,UPUP,R)`INTGEL`1359028
pGenerateUnivariatePowerSeries`2`x`(R:Join(IntegralDomain,etc),FE:Join(RetractableTo(Symbol),etc))->etc`(R,FE)`GENUPS`1359111
pGenerateUnivariatePowerSeries1`1`n`(Ring)->etc`(R)`GENUPS1`1359229
pGenerateUnivariatePowerSeries2`1`n`(Join(Ring,etc))->etc`(FE)`GENUPS2`1359379
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1359529
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1360035
pGnuDraw`0`x`()->etc``GDRAW`1360404
pGosperSummationMethod`5`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V),Q:Join(RetractableTo(Fraction(Integer)),etc))->etc`(E,V,R,P,Q)`GOSPER`1360674
pGraphicsDefaults`0`x`()->etc``GRDEF`1360719
pGrayCode`0`n`()->etc``GRAY`1360814
pGroebnerFactorizationPackage`4`x`(Dom:Join(PolynomialFactorizationExplicit,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1360954
pGroebnerInternalPackage`3`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,Dpol:Join(FiniteAbelianMonoidRing(Dom,Expon),etc))->etc`(Dom,Expon,Dpol)`GBINTERN`1361986
pGroebnerPackage`3`x`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,Dpol:Join(FiniteAbelianMonoidRing(Dom,Expon),etc))->etc`(Dom,Expon,Dpol)`GB`1362065
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1363089
pGroupPresentationFunctions1`1`n`(SetCategory)->etc`(S)`GROUPPF1`1363277
pGuess`5`x`(F:Join(Field,etc),S:GcdDomain,EXPRR:Join(FunctionSpace(Integer),etc),(EXPRR)->F,(F)->EXPRR)->etc`(F,S,EXPRR,retract,coerce)`GUESS`1363432
pGuessAlgebraicNumber`0`n`()->etc``GUESSAN`1363596
pGuessExpBin`5`n`(F:Join(Field,etc),S:GcdDomain,EXPRR:Join(FunctionSpace(Integer),etc),(EXPRR)->F,(F)->EXPRR)->etc`(F,S,EXPRR,retract,coerce)`GUESSEB`1363669
pGuessFinite`1`x`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF`1363769
pGuessFiniteFunctions`1`n`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF1`1363849
pGuessInteger`0`x`()->etc``GUESSINT`1363933
pGuessPolynomial`1`x`(Ring)->etc`(R)`GUESSP`1364004
pGuessPolynomialFunctions`1`n`(Ring)->etc`(R)`GUESSP1`1364077
pGuessPolynomialInteger`0`x`()->etc``GUESSPI`1364159
pHallBasis`0`x`()->etc``HB`1364250
pHankelPackage`1`n`(Ring)->etc`(R)`HANKP`1364506
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1364551
pIdealDecompositionPackage`1`x`(List(Symbol))->etc`(vl)`IDECOMP`1364713
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1365007
pInfiniteLambertProduct`2`x`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1365082
pInfiniteTupleFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ITFUN2`1365158
pInfiniteTupleFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1365221
pInfinity`0`x`()->etc``INFINITY`1365286
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1365368
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:Join(LinearAggregate(R),etc),B:Join(LinearAggregate(Q),etc))->etc`(R,Q,A,B)`ICDEN`1365509
pInnerEigenPackage`1`n`(Field)->etc`(F)`IEP`1365679
pInnerMatrixLinearAlgebraFunctions`4`n`(R:DivisionRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1365991
pInnerMatrixQuotientFieldFunctions`8`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col),QF:QuotientFieldCategory(R),Row2:FiniteLinearAggregate(QF),Col2:FiniteLinearAggregate(QF),M2:MatrixCategory(QF,Row2,Col2))->etc`(R,Row,Col,M,QF,Row2,Col2,M2)`IMATQF`1366152
pInnerModularGcd`4`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R),R,(R,NonNegativeInteger)->R)->etc`(R,BP,pMod,nextMod)`INMODGCD`1366407
pInnerModularHermitePade`0`n`()->etc``IMODHP`1366724
pInnerMultFact`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`INNMFACT`1367035
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1367292
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1367440
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1367612
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1368197
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1368263
pInnerTrigonometricManipulations`3`n`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1368305
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1368488
pIntegerBits`0`n`()->etc``INTBIT`1368532
pIntegerCombinatoricFunctions`1`x`(IntegerNumberSystem)->etc`(I)`COMBINAT`1368600
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1368711
pIntegerLinearDependence`1`x`(LinearlyExplicitOver(Integer))->etc`(R)`ZLINDEP`1369075
pIntegerNumberTheoryFunctions`0`x`()->etc``INTHEORY`1369129
pIntegerPrimesPackage`1`x`(IntegerNumberSystem)->etc`(I)`PRIMES`1369211
pIntegerRetractions`1`x`(RetractableTo(Integer))->etc`(S)`INTRET`1369417
pIntegerRoots`1`x`(IntegerNumberSystem)->etc`(I)`IROOT`1369476
pIntegerSmithNormalForm`0`n`()->etc``ISMITH`1369588
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1369774
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1369957
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1370096
pIntegrateSolutions`2`n`(F:Join(Field,etc),L:Join(UnivariateSkewPolynomialCategory(F),etc))->etc`(F,L)`INTDSOL`1370214
pIntegrationResultFunctions2`2`x`(Field,F:Field)->etc`(E,F)`IR2`1370330
pIntegrationResultRFToFunction`1`x`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1370383
pIntegrationResultToFunction`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1370655
pIntegrationTools`2`n`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1370856
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1370890
pInternalRationalUnivariateRepresentationPackage`5`n`(R:Join(PolynomialFactorizationExplicit,etc),E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`IRURPK`1370964
pInverseLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1371498
pIrrRepSymNatPackage`0`x`()->etc``IRSN`1371559
pJetCoordinateTransformation`4`n`(JetBundleCategory,JB2:JetBundleCategory,Vector(JetBundleExpression(JB2)),Vector(JetBundleExpression(JB2)))->etc`(JB1,JB2,Y,W)`JCT`1372118
pJetGroebner`5`n`(R:GcdDomain,JB:JetBundleCategory,LJV:List(JB),P:Join(JetBundleFunctionCategory(JB),etc),DirectProductCategory(#(LJV),NonNegativeInteger))->etc`(R,JB,LJV,P,E)`JGB`1372486
pJFriCASSupport`0`n`()->etc``JFRICAS`1372881
pKernelFunctions2`2`x`(Comparable,S:Comparable)->etc`(R,S)`KERNEL2`1373221
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1373286
pLaplaceTransform`2`x`(R:Join(PolynomialFactorizationExplicit,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1373445
pLazardSetSolvingPackage`6`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),RegularTriangularSetCategory(R,E,V,P),ST:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS,ST)`LAZM3PK`1373506
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:GcdDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1374030
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1374265
pLiftLinearDependence`3`n`(F:Field,Q:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,Q,UP)`LLINDEP`1375119
pLinearCombinationUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LINCOMB`1375258
pLinearDependence`2`n`(S:IntegralDomain,R:LinearlyExplicitOver(S))->etc`(S,R)`LINDEP`1375341
pLinearOrdinaryDifferentialOperator3Aux`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,A,R)`LODO3AUX`1375377
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1375523
pLinearOrdinaryDifferentialOperatorFactorizer2`2`n`(Symbol,cen:Expression(Integer))->etc`(var,cen)`LODOF2`1375695
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1375868
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1376003
pLinearSystemMatrixPackage`4`x`(F:Field,Row:Join(FiniteLinearAggregate(F),etc),Col:Join(FiniteLinearAggregate(F),etc),M:MatrixCategory(F,Row,Col))->etc`(F,Row,Col,M)`LSMP`1376254
pLinearSystemMatrixPackage1`1`x`(Field)->etc`(F)`LSMP1`1376330
pLinearSystemMatrixPackage2`1`n`(IntegralDomain)->etc`(S)`LSMP2`1376624
pLinearSystemPolynomialPackage`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1376688
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`1376783
pLiouvillianFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1377108
pListFunctions2`2`x`(Type,B:Type)->etc`(A,B)`LIST2`1377185
pListFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1377332
pListPackage`1`n`(BasicType)->etc`(T)`LISTPKG`1377481
pListToMap`2`x`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1377505
pLLLReduction`0`n`()->etc``LLLRED`1377917
pLODOConvertions`3`n`(Coeff:Ring,Ab:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,Ab,R)`LODOCONV`1378123
pLUDecomposition`1`n`(Field)->etc`(D)`LUD`1378296
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1378437
pMakeFloatCompiledFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1378499
pMakeFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1378726
pMakeRecord`2`x`(Type,T:Type)->etc`(S,T)`MKRECORD`1378791
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1378928
pMappingPackage1`1`x`(SetCategory)->etc`(A)`MAPPKG1`1378990
pMappingPackage2`2`x`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1379027
pMappingPackage3`3`x`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1379064
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1379101
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1379138
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1379175
pMathematicalSymbols`0`n`()->etc``MATHSYM`1379212
pMatrixCategoryFunctions2`8`x`(R1:Join(SemiRng,etc),Row1:FiniteLinearAggregate(R1),Col1:FiniteLinearAggregate(R1),M1:MatrixCategory(R1,Row1,Col1),R2:Join(SemiRng,etc),Row2:FiniteLinearAggregate(R2),Col2:FiniteLinearAggregate(R2),M2:MatrixCategory(R2,Row2,Col2))->etc`(R1,Row1,Col1,M1,R2,Row2,Col2,M2)`MATCAT2`1379330
pMatrixCommonDenominator`2`x`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1379484
pMatrixLinearAlgebraFunctions`4`x`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1379638
pMatrixManipulation`4`n`(R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:TwoDimensionalArrayCategory(R,Row,Col))->etc`(R,Row,Col,M)`MAMA`1379746
pMergeThing`1`x`(OrderedSet)->etc`(S)`MTHING`1379965
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1380018
pModularAlgebraicGcd`3`n`(MPT:Type,MD:Type,ModularAlgebraicGcdOperations(Polynomial(Integer),MPT,MD))->etc`(MPT,MD,MO)`MAGCD`1380070
pModularAlgebraicGcd2`6`n`(PT:Type,MP:Type,MPT:Type,MD:Type,ModularEvaluationCategory(PT,MP),ModularAlgebraicGcdOperations(MP,MPT,MD))->etc`(PT,MP,MPT,MD,ME,MO)`MAGCD2`1380188
pModularFactorization`0`n`()->etc``MODFACT`1380475
pModularFactorizationGeneral`5`n`(PA:Type,MMT:Type,MD:Type,PMD:Type,ModularFactorizationOperations(PA,MMT,MD,PMD))->etc`(PA,MMT,MD,PMD,MO)`MODFACTG`1380619
pModularFactorizationK`1`n`(FiniteFieldCategory)->etc`(K)`MODFACK`1380832
pModularHermitePade`0`n`()->etc``MODHP`1380976
pModularHermitePadeSolver`2`n`(CommutativeRing,S:CommutativeRing)->etc`(F,S)`MODHPS`1381208
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1381288
pModularU32MatrixOperations`0`n`()->etc``MATOP32`1381329
pMomentPackage`1`n`(CommutativeRing)->etc`(R)`MOMPKG`1381467
pMonoidRingFunctions2`3`x`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1381573
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1381706
pMoreSystemCommands`0`x`()->etc``MSYSCMD`1381754
pMPolyCatFunctions2`7`x`(VarSet:OrderedSet,E1:OrderedAbelianMonoidSup,E2:OrderedAbelianMonoidSup,R:Ring,S:Ring,PR:PolynomialCategory(R,E1,VarSet),PS:PolynomialCategory(S,E2,VarSet))->etc`(VarSet,E1,E2,R,S,PR,PS)`MPC2`1382018
pMPolyCatFunctions3`7`n`(Vars1:OrderedSet,Vars2:OrderedSet,E1:OrderedAbelianMonoidSup,E2:OrderedAbelianMonoidSup,R:Ring,PR1:PolynomialCategory(R,E1,Vars1),PR2:PolynomialCategory(R,E2,Vars2))->etc`(Vars1,Vars2,E1,E2,R,PR1,PR2)`MPC3`1382050
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1382085
pMPolyCatRationalFunctionFactorizer`4`x`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1382447
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1382813
pMrvLimitPackage`0`n`()->etc``MRVLIM`1383036
pMultFiniteFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1383100
pMultipleMap`6`n`(R1:IntegralDomain,UP1:UnivariatePolynomialCategory(R1),UPUP1:UnivariatePolynomialCategory(Fraction(UP1)),R2:IntegralDomain,UP2:UnivariatePolynomialCategory(R2),UPUP2:UnivariatePolynomialCategory(Fraction(UP2)))->etc`(R1,UP1,UPUP1,R2,UP2,UPUP2)`MMAP`1383182
pMultiplicativeDependence`0`n`()->etc``MULDEP`1383240
pMultiVariableCalculusFunctions`4`n`(S:SetCategory,F:PartialDifferentialRing(S),FLAF:FiniteLinearAggregate(F),FLAS:FiniteLinearAggregate(S))->etc`(S,F,FLAF,FLAS)`MCALCFN`1383299
pMultivariateFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(PolynomialFactorizationExplicit,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`MULTFACT`1383554
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1383704
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1383967
pNaiveBeckermannLabahnModular`0`n`()->etc``NBLM`1384195
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1384445
pNewtonInterpolation`1`n`(IntegralDomain)->etc`(F)`NEWTON`1384769
pNGroebnerPackage`3`n`(Dom:LeftOreRing,Expon:OrderedAbelianMonoidSup,Dpol:SolvableSkewPolynomialCategory(Dom,Expon))->etc`(Dom,Expon,Dpol)`NGROEB`1384904
pNoneFunctions1`1`x`(Type)->etc`(S)`NONE1`1385180
pNonLinearFirstOrderODESolver`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1385341
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1385495
pNormalizationPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`NORMPK`1385729
pNormInMonogenicAlgebra`4`x`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1385871
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1385988
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1386023
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1386255
pNumberFormats`0`n`()->etc``NUMFMT`1386494
pNumberTheoreticPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`NTPOLFN`1386646
pNumeric`1`x`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1386712
pNumericalOrdinaryDifferentialEquations`0`x`()->etc``NUMODE`1386813
pNumericalQuadrature`1`x`(FloatingPointSystem)->etc`(F)`NUMQUAD`1391374
pNumericComplexEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NCEP`1394714
pNumericContinuedFraction`1`x`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1394986
pNumericRealEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NREP`1395111
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1395346
pOctonionCategoryFunctions2`4`x`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1395425
pODEIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1395606
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1395773
pOneDimensionalArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ARRAY12`1395839
pOnePointCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1395985
pOpenMathPackage`0`x`()->etc``OMPKG`1396035
pOpenMathServerPackage`0`x`()->etc``OMSERVER`1396142
pOperationsQuery`0`x`()->etc``OPQUERY`1396508
pOrderedCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1396591
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1396639
pOrePolynomialMatrixOperations`2`n`(F:Field,LO:UnivariateSkewPolynomialCategory(F))->etc`(F,LO)`OREMAT`1396755
pOrthogonalPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`ORTHPOL`1396829
pOutputFormTools`0`n`()->etc``OFTOOL`1396906
pOutputPackage`0`x`()->etc``OUT`1396979
pPadeApproximantPackage`3`x`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1397036
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1397154
pPadeContinuousFraction`2`n`(Field,xs:Symbol)->etc`(F,xs)`PADECF`1397272
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1397377
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1397906
pParallelIntegrationTools`3`n`(R:Field,V:OrderedSet,P:PolynomialCategory(R,IndexedExponents(V),V))->etc`(R,V,P)`PIT`1397975
pParametricIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPAR2`1398026
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1398132
pParametricPlaneCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1399188
pParametricRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEPAR`1399223
pParametricSpaceCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1399417
pParametricSurfaceFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1399452
pParametricTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTPAR1`1399487
pPartialDifferentialOperatorHelper`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->etc`(R,Var)`PDOHLP`1399566
pPartialFractionPackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1399675
pPartialFractionUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`PFUTIL`1399944
pPartitionsAndPermutations`0`x`()->etc``PARTPERM`1400014
pPathArrayPackage`1`n`(Ring)->etc`(R)`PARRPKG`1400177
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1400235
pPatternFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1400263
pPatternMatch`3`x`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1400295
pPatternMatchAssertions`0`x`()->etc``PMASS`1400367
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1400455
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1400532
pPatternMatchIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1400602
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(Comparable,etc))->etc`(S,E)`PMKERNEL`1400797
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1400866
pPatternMatchPolynomialCategory`5`n`(S:SetCategory,E:OrderedAbelianMonoidSup,V:OrderedSet,R:Join(Ring,etc),P:Join(PolynomialCategory(R,E,V),etc))->etc`(S,E,V,R,P)`PMPLCAT`1400933
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1401006
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1401084
pPatternMatchResultFunctions2`3`x`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1401155
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1401203
pPatternMatchTools`3`n`(S:SetCategory,R:Join(Comparable,etc),P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1401272
pPermanent`2`x`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1401333
pPermutationGroupExamples`0`x`()->etc``PGE`1401428
pPiCoercions`1`x`(Join(Comparable,etc))->etc`(R)`PICOERCE`1401822
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1401943
pPlotTools`0`n`()->etc``PLOTTOOL`1402097
pPointFunctions2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1402141
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1402176
pPointsOfFiniteOrder`5`n`(R0:Join(Comparable,etc),F:FunctionSpace(R0),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`PFO`1402211
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1402314
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1402417
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1402453
pPolyGroebner`1`x`(GcdDomain)->etc`(F)`PGROEB`1402535
pPolynomialAN2Expression`0`x`()->etc``PAN2EXPR`1403230
pPolynomialCategoryLifting`5`n`(E:OrderedAbelianMonoidSup,Vars:OrderedSet,R:Join(SemiRng,etc),P:PolynomialCategory(R,E,Vars),S:etc)->etc`(E,Vars,R,P,S)`POLYLIFT`1403343
pPolynomialCategoryQuotientFunctions`5`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:Ring,P:PolynomialCategory(R,E,V),F:Join(Field,etc))->etc`(E,V,R,P,F)`POLYCATQ`1403634
pPolynomialCommonDenominator`5`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),E:OrderedAbelianMonoidSup,VarSet:OrderedSet,P:PolynomialCategory(Q,E,VarSet))->etc`(R,Q,E,VarSet,P)`PCDEN`1403756
pPolynomialEvaluationUtilities`0`n`()->etc``PEVALUT`1403915
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1404325
pPolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`POLY2`1404538
pPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`PGCD`1404666
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1404980
pPolynomialInterpolationAlgorithms`2`n`(F:Field,P:UnivariatePolynomialCategory(F))->etc`(F,P)`PINTERPA`1405034
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1405088
pPolynomialRationalRoots`2`n`(F:Join(IntegralDomain,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`PRROOT`1405183
pPolynomialRoots`5`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V),F:Join(Field,etc))->etc`(E,V,R,P,F)`POLYROOT`1405289
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1405365
pPolynomialSolveByFormulas`3`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc),Join(PolynomialFactorizationExplicit,etc))->etc`(UP,F,RR)`SOLVEFOR`1405655
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1405893
pPolynomialToUnivariatePolynomial`2`x`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1406313
pPosetFactory`1`n`(SetCategory)->etc`(S)`POSETF`1406546
pPowerSeriesLimitPackage`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1406764
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1407006
pPrimGCD`0`n`()->etc``PRIGCD3`1407184
pPrimitiveArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`PRIMARR2`1407407
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1407547
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1407646
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1407875
pPrintPackage`0`x`()->etc``PRINT`1407939
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1408004
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1408121
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1408852
pPureAlgebraicLODE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`ODEPAL`1409018
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1409110
pQuasiAlgebraicSet2`1`n`(List(Symbol))->etc`(vl)`QALGSET2`1409147
pQuasiComponentPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`QCMPACK`1410370
pQuaternionCategoryFunctions2`4`x`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1410544
pQuotientFieldCategoryFunctions2`4`x`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1410742
pRadicalEigenPackage`0`x`()->etc``REP`1410851
pRadicalSolvePackage`1`x`(Join(PolynomialFactorizationExplicit,etc))->etc`(R)`SOLVERAD`1411133
pRadixUtilities`0`x`()->etc``RADUTIL`1411306
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1411373
pRandomFloatDistributions`0`n`()->etc``RFDIST`1411423
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1411488
pRandomNumberSource`0`x`()->etc``RANDSRC`1411539
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`1411696
pRationalFunction`1`x`(IntegralDomain)->etc`(R)`RF`1412185
pRationalFunctionDefiniteIntegration`1`x`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1412283
pRationalFunctionFactor`1`x`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1412410
pRationalFunctionIntegration`1`x`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1412532
pRationalFunctionLimitPackage`1`x`(GcdDomain)->etc`(R)`LIMITRF`1412615
pRationalFunctionSign`1`x`(GcdDomain)->etc`(R)`SIGNRF`1412669
pRationalFunctionSum`1`x`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1412742
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1412787
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1412869
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1412932
pRationalRetractions`1`x`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1413081
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1413139
pRationalUnivariateRepresentationPackage`2`n`(Join(PolynomialFactorizationExplicit,etc),List(Symbol))->etc`(R,ls)`RURPK`1413202
pRDEaux`1`n`(Field)->etc`(F)`RDEAUX`1413629
pRealNormalizationUtilities`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RNORM`1413688
pRealPolynomialUtilitiesPackage`2`x`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1413775
pRealSolvePackage`0`n`()->etc``REALSOLV`1413876
pRealZeroPackage`1`x`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1413980
pRealZeroPackageQ`1`x`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1414271
pRectangularMatrixCategoryFunctions2`10`x`(m:NonNegativeInteger,n:NonNegativeInteger,R1:Join(SemiRng,etc),Row1:DirectProductCategory(n,R1),Col1:DirectProductCategory(m,R1),M1:RectangularMatrixCategory(m,n,R1,Row1,Col1),R2:Join(SemiRng,etc),Row2:DirectProductCategory(n,R2),Col2:DirectProductCategory(m,R2),M2:RectangularMatrixCategory(m,n,R2,Row2,Col2))->etc`(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)`RMCAT2`1414561
pRecurrenceOperator`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`RECOP`1414726
pReducedDivisor`5`n`(F1:Field,UP:UnivariatePolynomialCategory(F1),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F1,UP,UPUP),F2:Join(Finite,etc))->etc`(F1,UP,UPUP,R,F2)`RDIV`1414909
pReduceLODE`5`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F),UP:UnivariatePolynomialCategory(F),A:MonogenicAlgebra(F,UP),LO:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(F,L,UP,A,LO)`ODERED`1415005
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1415107
pRegularSetDecompositionPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`RSDCMPK`1415258
pRegularTriangularSetGcdPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`RSETGCD`1416540
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1416698
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1416753
pRepresentationPackage1`1`x`(Ring)->etc`(R)`REP1`1416808
pRepresentationPackage2`1`x`(Ring)->etc`(R)`REP2`1417311
pResolveLatticeCompletion`1`x`(Type)->etc`(S)`RESLATC`1417859
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1417958
pRootFSSplit`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`RFSSPLIT`1418110
pRootSimplification`0`n`()->etc``RSIMP`1418185
pRootUtilities`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ROOTUT`1418286
pScanningUtilities`0`n`()->etc``SCANUTIL`1418335
pSegmentBindingFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEGBIND2`1418373
pSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEG2`1418476
pSequenceFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`SEQU2`1418554
pSimplicialComplexFactory`1`n`(AbelianGroup)->etc`(VS)`SIMPCF`1418603
pSimplifyAlgebraicNumberConvertPackage`0`x`()->etc``SIMPAN`1418673
pSmithNormalForm`4`x`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1418781
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1418888
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1419244
pSparsePolynomialCoercionHelpers`3`n`(Ring,VarSet1:OrderedSet,VarSet2:OrderedSet)->etc`(R,VarSet1,VarSet2)`SMPCOER`1419292
pSparseUnivariatePolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`SUP2`1419388
pSpecialFunctionUnivariateTaylorSeries`2`n`(Coef:Join(Field,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`SPFUTS`1419712
pSpecialOutputPackage`0`x`()->etc``SPECOUT`1419791
pSquareFreeQuasiComponentPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SFQCMPK`1419883
pSquareFreeRegularSetDecompositionPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SRDCMPK`1420066
pSquareFreeRegularTriangularSetGcdPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SFRGCD`1421269
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1421529
pSTransformPackage`4`x`(R:Join(CommutativeRing,etc),UTSR:UnivariateTaylorSeriesCategory(R),ULSR:UnivariateLaurentSeriesConstructorCategory(R,UTSR),UPSR:UnivariatePuiseuxSeriesConstructorCategory(R,ULSR))->etc`(R,UTSR,ULSR,UPSR)`STRANS`1421827
pStreamExponentialSeriesOperations`1`n`(CommutativeRing)->etc`(Coef)`STEXPS`1421906
pStreamExponentialSeriesTranscendentalFunctions`1`n`(Join(Algebra(Fraction(Integer)),etc))->etc`(Coef)`STEXPST`1422068
pStreamFunctions1`1`x`(Type)->etc`(S)`STREAM1`1422244
pStreamFunctions2`2`x`(Type,B:Type)->etc`(A,B)`STREAM2`1422306
pStreamFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1422369
pStreamTensor`1`n`(Type)->etc`(R)`STNSR`1422434
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1422490
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1422652
pStructuralConstantsPackage`1`x`(IntegralDomain)->etc`(R)`SCPKG`1422856
pSturmHabichtPackage`2`x`(R:Join(OrderedRing,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SHP`1423044
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1423165
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1423437
pSymmetricGroupCombinatoricFunctions`0`x`()->etc``SGCF`1423505
pSymmetryAnalysis`3`n`(JetBundleCategory,xi:Union(Symbol,List(Symbol)),eta:Union(Symbol,List(Symbol)))->etc`(JB1,xi,eta)`SYMANA`1423708
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1423986
pSystemSolvePackage`1`x`(IntegralDomain)->etc`(R)`SYSSOLP`1424111
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1424969
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1425169
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1425583
pTaylorSolve`3`n`(F:Field,UTSF:UnivariateTaylorSeriesCategory(F),UTSSMPF:UnivariateTaylorSeriesCategory(SparseMultivariatePolynomialExpressions(F)))->etc`(F,UTSF,UTSSMPF)`UTSSOL`1425637
pTemplateUtilities`0`n`()->etc``TEMUTL`1425807
pTensorPowerFunctions2`5`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M1:FreeModuleCategory(R,B),M2:Module(R))->etc`(n,R,B,M1,M2)`TENSPO2`1425873
pTexFormat1`1`x`(SetCategory)->etc`(S)`TEX1`1425920
pTexParser`0`n`()->etc``TEXPARSE`1426065
pTeXScanner`0`n`()->etc``TEXSCAN`1426166
pTimeoutPackage`1`n`(Type)->etc`(S)`TIMEOUT`1426217
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1426272
pTopLevelDrawFunctions`1`x`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1426318
pTopLevelDrawFunctionsForAlgebraicCurves`2`x`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1426414
pTopLevelDrawFunctionsForCompiledFunctions`0`x`()->etc``DRAWCFUN`1426534
pTopLevelDrawFunctionsForPoints`0`x`()->etc``DRAWPT`1426650
pTopLevelThreeSpace`0`x`()->etc``TOPSP`1426779
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1426854
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1426904
pTranscendentalManipulations`2`x`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1426996
pTransSolvePackage`1`x`(Join(Comparable,etc))->etc`(R)`SOLVETRA`1427122
pTransSolvePackageService`1`n`(Join(Comparable,etc))->etc`(R)`SOLVESER`1427953
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1428395
pTrigonometricManipulations`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1428857
pTrigonometricManipulationsAux`2`n`(G:Join(IntegralDomain,etc),FG:Join(FunctionSpace(G),etc))->etc`(G,FG)`TRIGMNPA`1429007
pTubePlotTools`0`n`()->etc``TUBETOOL`1429190
pTwoDimensionalArrayFunctions`8`n`(A:Type,RA:FiniteLinearAggregate(A),CA:FiniteLinearAggregate(A),MA:TwoDimensionalArrayCategory(A,RA,CA),B:Type,RB:FiniteLinearAggregate(B),CB:FiniteLinearAggregate(B),MB:TwoDimensionalArrayCategory(B,RB,CB))->etc`(A,RA,CA,MA,B,RB,CB,MB)`ARRAY22`1429267
pTwoDimensionalPlotClipping`0`n`()->etc``CLIP`1429353
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1429467
pU32VectorPolynomialOperations`0`n`()->etc``POLYVEC`1429635
pUnitGaussianElimination`0`n`()->etc``UGAUSS`1429904
pUnittest`0`n`()->etc``TESTUNIT`1429980
pUnittestAux`1`n`(BasicType)->etc`(R)`TESTAUX`1430165
pUnittestCount`0`n`()->etc``TESTCNT`1430287
pUnivariateFiniteFieldFactorize`2`n`(F:FiniteFieldCategory,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`UFFACT`1430514
pUnivariateFormalPowerSeriesFunctions`1`n`(Ring)->etc`(Coef)`UFPS1`1430688
pUnivariateLaurentSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`ULS2`1430781
pUnivariatePolynomialCategoryFunctions2`4`x`(R:Join(SemiRng,etc),PR:UnivariatePolynomialCategory(R),S:Join(SemiRng,etc),PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1430932
pUnivariatePolynomialCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(Q))->etc`(R,Q,UP)`UPCDEN`1431076
pUnivariatePolynomialDecompositionPackage`2`x`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDECOMP`1431169
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1431355
pUnivariatePolynomialFunctions2`4`x`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1431503
pUnivariatePolynomialMultiplicationPackage`2`x`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1431843
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1432133
pUnivariatePuiseuxSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1432791
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1432942
pUnivariateTaylorSeriesFunctions2`4`x`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1433071
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1433220
pUniversalSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`UNISEG2`1433372
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1433450
pUserDefinedVariableOrdering`0`x`()->etc``UDVO`1433517
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1433749
pVectorFunctions2`2`x`(Type,B:Type)->etc`(A,B)`VECTOR2`1433879
pVectorHermitePadeSolver`0`n`()->etc``VHPSOLV`1434171
pVectorPolynomialOperationsF`1`n`(FiniteFieldCategory)->etc`(K)`POLVECF`1434295
pVectorPolynomialOperationsP`1`n`(PositiveInteger)->etc`(p)`POLVECP`1434450
pViewDefaultsPackage`0`x`()->etc``VIEWDEF`1434594
pViewportPackage`0`n`()->etc``VIEW`1434683
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1434810
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1435372
pXDistributedPolynomialFunctions`2`n`(OrderedSet,F:Field)->etc`(VAR,F)`XDPOLYF`1435721
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1436013
pXPolynomialFactor`2`n`(OrderedSet,F:Field)->etc`(vl,F)`XPFACT`1436133
pZeroDimensionalSolvePackage`3`x`(Join(OrderedRing,etc),ls:List(Symbol),ls2:List(Symbol))->etc`(R,ls,ls2)`ZDSOLVE`1436194
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1437491
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1437618
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1437746
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1438334
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1438486
xAIntervalCategory&`2`n`(AIntervalCategory(R),R:OrderedAbelianSemiGroup)->etc`(S,R)`AINTCAT-`1438992
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1439228
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1439322
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),Join(Comparable,etc))->etc`(S,R)`ACFS-`1439369
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1439425
xAssociationListAggregate&`3`n`(AssociationListAggregate(Key,Entry),SetCategory,Entry:Type)->etc`(S,Key,Entry)`ALAGG-`1439483
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1439653
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1439876
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1439995
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1440134
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1440353
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1440453
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1440885
xDictionary&`2`n`(Dictionary(S),S:Type)->etc`(A,S)`DIAGG-`1440973
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:Type)->etc`(A,S)`DIOPS-`1441292
xDifferentialExtension&`2`n`(DifferentialExtension(R),R:Ring)->etc`(S,R)`DIFEXT-`1441423
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1441550
xDifferentialRing&`1`n`(DifferentialRing)->etc`(S)`DIFRING-`1442835
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1442944
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1445246
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1445390
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1445558
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:Type,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1445605
xEntireRing&`1`n`(EntireRing)->etc`(S)`ENTIRER-`1445959
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1446108
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1446497
xExpressionSpace2&`2`n`(ExpressionSpace2(K),K:KernelCategory(%))->etc`(S,K)`ESC2-`1446655
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1446733
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1447123
xFacetCategory&`1`n`(FacetCategory)->etc`(S)`FACTCAT-`1447212
xField&`1`n`(Field)->etc`(S)`FIELD-`1447420
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1447641
xFinite&`1`n`(Finite)->etc`(S)`FINITE-`1447878
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1448109
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1448277
xFiniteDivisorCategory&`5`n`(FiniteDivisorCategory(F,UP,UPUP,R),F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(S,F,UP,UPUP,R)`FDIVCAT-`1449771
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1450000
xFiniteGraph&`2`n`(FiniteGraph(S),S:SetCategory)->etc`(A,S)`FGRPH-`1450061
xFiniteGroup&`1`n`(FiniteGroup)->etc`(S)`FINGRP-`1450139
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1450178
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1450301
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1450453
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1450651
xFormatterCategory&`1`n`(FormatterCategory)->etc`(S)`FMTCAT-`0
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1451661
xFramedModule&`2`n`(FramedModule(R),R:Join(SemiRng,etc))->etc`(S,R)`FRMOD-`1451775
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1451872
xFreeModuleCategory&`3`n`(FreeModuleCategory(R,S),R:Join(SemiRng,etc),S:SetCategory)->etc`(A,R,S)`FMCAT-`1452151
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1452968
xFullyLinearlyExplicitOver&`2`n`(FullyLinearlyExplicitOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1453091
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1453305
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1453610
xFunctionSpace2&`3`n`(FunctionSpace2(R,K),R:Comparable,K:KernelCategory(%))->etc`(S,R,K)`FSC2-`1453694
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1453774
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1454078
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1454430
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1454968
xHashable&`1`n`(Hashable)->etc`(S)`HASHABL-`1455079
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1455164
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1455688
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:Type,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1455749
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1456005
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1456331
xJetBundleBaseFunctionCategory&`2`n`(JetBundleBaseFunctionCategory(JB),JetBundleCategory)->etc`(S,JB)`JBBFC-`1456398
xJetBundleCategory&`1`n`(JetBundleCategory)->etc`(S)`JBC-`1456687
xJetBundleFunctionCategory&`2`n`(JetBundleFunctionCategory(JB),JB:JetBundleCategory)->etc`(S,JB)`JBFC-`1457352
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`KDAGG-`1457777
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1457887
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1458543
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1458609
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1458767
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1459441
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1459708
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`1459897
xMagma&`1`n`(Magma)->etc`(S)`MAGMA-`1459983
xMagmaWithUnit&`1`n`(MagmaWithUnit)->etc`(S)`MAGMAWU-`1460088
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:AbelianMonoid,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1460531
xMaybeSkewPolynomialCategory&`4`n`(MaybeSkewPolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`GPOLCAT-`1461139
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1461320
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1461388
xMultivariateTaylorSeriesCategory&`3`n`(MultivariateTaylorSeriesCategory(Coef,Var),Coef:Ring,Var:OrderedSet)->etc`(S,Coef,Var)`MTSCAT-`1461499
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1461608
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NARING-`1461805
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1461950
xNonAssociativeSemiRng&`1`n`(NonAssociativeSemiRng)->etc`(S)`NASRNG-`1462304
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1462427
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1462642
xOpenMath&`1`n`(OpenMath)->etc`(S)`OM-`1463431
xOrderedAbelianGroup&`1`n`(OrderedAbelianGroup)->etc`(S)`OAGROUP-`1463523
xOrderedSet&`1`n`(OrderedSet)->etc`(S)`ORDSET-`1463622
xPartialDifferentialRing&`2`n`(PartialDifferentialRing(S),S:SetCategory)->etc`(A,S)`PDRING-`1463935
xPartialOrder&`1`n`(PartialOrder)->etc`(S)`PORDER-`1464042
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1464159
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1464372
xPolynomialSetCategory&`5`n`(PolynomialSetCategory(R,E,VarSet,P),R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,P:RecursivePolynomialCategory(R,E,VarSet))->etc`(S,R,E,VarSet,P)`PSETCAT-`1464517
xPoset&`2`n`(Poset(S),S:SetCategory)->etc`(A,S)`POSET-`1465114
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1465317
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1465443
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1465582
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1465675
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1465747
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1465843
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1466139
xRectangularMatrixCategory&`6`n`(RectangularMatrixCategory(m,n,R,Row,Col),m:NonNegativeInteger,n:NonNegativeInteger,R:Join(SemiRng,etc),Row:DirectProductCategory(n,R),Col:DirectProductCategory(m,R))->etc`(S,m,n,R,Row,Col)`RMATCAT-`1466251
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1466481
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1466926
xRegularTriangularSetCategory&`5`n`(RegularTriangularSetCategory(R,E,V,P),R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(S,R,E,V,P)`RSETCAT-`1467386
xRetractableFrom&`2`n`(RetractableFrom(S),S:Type)->etc`(A,S)`RETFROM-`1469574
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1469753
xRng&`1`n`(Rng)->etc`(S)`RNG-`1469930
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1470150
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1470475
xSPointCategory&`1`n`(SPointCategory)->etc`(S)`SPTCAT-`1470748
xSquareMatrixCategory&`5`n`(SquareMatrixCategory(ndim,R,Row,Col),ndim:NonNegativeInteger,R:Join(SemiRng,etc),Row:DirectProductCategory(ndim,R),Col:DirectProductCategory(ndim,R))->etc`(S,ndim,R,Row,Col)`SMATCAT-`1471079
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1471337
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1471598
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`TBAGG-`1471699
xTaylorSeriesExpansion&`6`n`(TaylorSeriesExpansion(Coef,Expon,Var,PS,UTS),Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,Var:OrderedSet,PS:PowerSeriesCategory(Coef,Expon,Var),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,Expon,Var,PS,UTS)`TSEREXP-`1471819
xTensorPowerCategory&`4`n`(TensorPowerCategory(n,R,M),NonNegativeInteger,R:CommutativeRing,M:Module(R))->etc`(S,n,R,M)`TENSPC-`1471880
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1471949
xTriangularSetCategory&`5`n`(TriangularSetCategory(R,E,V,P),R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(S,R,E,V,P)`TSETCAT-`1472011
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1473035
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:IndexedAggregate(Integer,R),Col:IndexedAggregate(Integer,R))->etc`(S,R,Row,Col)`ARR2CAT-`1473085
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1473631
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1474093
xUnivariateLaurentSeriesCategory&`2`n`(UnivariateLaurentSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`ULSCAT-`1474265
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1474367
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Join(SemiRng,etc))->etc`(S,R)`UPOLYC-`1474660
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1474809
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1475157
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1475454
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1475833
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1475933
