# LaTeX2HTML 99.1 release (March 30, 1999)
# Associate images original text with physical files.


$key = q/{makeimage}eqnarray{phi(lambda)&=&frac{1}{2pii}int^{c+iinfty}_{c-iinfty}expleft(ar{epsilon}&=&mbox{actualslashaverageenergyloss}eqnarray{{makeimage};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="474" HEIGHT="160" ALIGN="BOTTOM" BORDER="0"
 SRC="img1.gif"
 ALT="\begin{eqnarray}
\phi(\lambda) &amp; = &amp; \frac{1} {2 \pi i}\int^{c+i\infty}_{c-i\in...
...\epsilon , \bar{\epsilon} &amp; = &amp; \mbox{actual/average energy loss}
\end{eqnarray}">|; 

$key = q/a^2+b^2=c^2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="88" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img5.gif"
 ALT="$ a^2+b^2=c^2$">|; 

$key = q/n>2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="img7.gif"
 ALT="$ n&gt;2$">|; 

$key = q/{eqnarray}htmlimage{}Vmathbf{pi}^{sr}&=&left<sum_iM_imathbf{V}_imathbf{V}_i+sum_sum_alphamathbf{p}_{ialpha}mathbf{f}_{ialpha}right>{eqnarray};MSF=1.6;TAGS=R;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="555" HEIGHT="114" ALIGN="LEFT"
 SRC="img8.gif"
 ALT="\begin{eqnarray}V \mathbf{\pi}^{sr} &amp; = &amp; \left&lt; \sum_i M_i \mathbf{V}_i \mathbf...
...m_i \sum_\alpha \mathbf{p}_{i\alpha} \mathbf{f}_{i\alpha} \right&gt;
\end{eqnarray}">|; 

$key = q/y=B(x);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="68" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="img4.gif"
 ALT="$ y=B(x)$">|; 

$key = q/a^n+b^n=c^n;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="93" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="img6.gif"
 ALT="$ a^n+b^n=c^n$">|; 

$key = q/displaystylehtmlimage{}align{B_{ij}^alpha<col_mark>=left(B_{ij}^alpharight)_0+leX_j}+frac{{d{N_k^beta}{{d{X_i}frac{{d{N_k^alpha}{{d{X_j}right)align{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="4" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="img9.gif"
 ALT="$\displaystyle \begin{align}B_{ij}^\alpha &amp; = \left(B_{ij}^\alpha\right)_0 + \le...
...} + \frac{\d N_k^\beta}{\d X_i} \frac{\d N_k^\alpha}{\d X_j} \right)\end{align}$">|; 

$key = q/mathcal{N}(A)=mathcal{R}(B);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="104" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="img3.gif"
 ALT="$ \mathcal{N}(A) = \mathcal{R}(B)$">|; 

$key = q/deltamathbf{c};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="img2.gif"
 ALT="$ \delta\mathbf{c}$">|; 

1;

