<?xml version="1.0"?>
<!--This OMDoc document is generated from an sTeX-encoded one via LaTeXML, you may want to reconsider editing it.-->
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    <metadata xml:id="sec.reals.p1" about="#sec.reals.p1" stex:srcref="reals.tex#textrange(from=1;0,to=15;12)">
      <dc:title stex:srcref="reals.tex#textrange(from=1;0,to=16;13)" xml:id="sec.reals.p1.p1" about="#sec.reals.p1.p1">Real Numbers</dc:title>
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      <imports from="../../../slides/extcds/omstd/arith1.omdoc#arith1"/>
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          <om:OMS cd="reals" name="RealNumbers"/>
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          <m:mi mathvariant="double-struck">R</m:mi>
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            <m:mo cr="fun">|</m:mo>
            <render name="arg1" precedence="2000"/>
            <m:mo cr="fun">|</m:mo>
            <m:mo egroup="fence" fence="true">)</m:mo>
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          <p xml:id="reals.def.p1.p1" about="#reals.def.p1.p1" stex:srcref="reals.tex#textrange(from=7;0,to=10;16)">
We denote the set of <idx xml:id="reals.def.p1.p1.p1" about="#reals.def.p1.p1.p1" stex:srcref="reals.tex#textrange(from=7;27,to=8;47)"><idt><term cd="reals" name="real-numbers" role="definiendum" xml:id="reals.def.p1.p1.p1.p1" about="#reals.def.p1.p1.p1.p1" stex:srcref="reals.tex#textrange(from=7;27,to=8;47)">real numbers</term></idt><ide index="default"><idp>real</idp><idp>numbers</idp></ide></idx> we all know and love with
<om:OMOBJ><om:OMS cd="reals" name="RealNumbers"/></om:OMOBJ>.
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The absolute value <om:OMOBJ><om:OMA><om:OMS cd="reals" name="absval"/><om:OMV name="r"/></om:OMA></om:OMOBJ> of a real number <om:OMOBJ><om:OMV name="r"/></om:OMOBJ>.
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