# LaTeX2HTML 2012 (1.2)
# Associate images original text with physical files.


$key = q/(x_0,y_0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="59" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img33.png"
 ALT="$(x_0,y_0)$">|; 

$key = q/N_{ijk};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img46.png"
 ALT="$N_{ijk}$">|; 

$key = q/AD_{ijk};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="51" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img73.png"
 ALT="$AD_{ijk}$">|; 

$key = q/PA_i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img58.png"
 ALT="$PA_i$">|; 

$key = q/PC_{ijk};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img60.png"
 ALT="$PC_{ijk}$">|; 

$key = q/Z^*;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="$Z^*$">|; 

$key = q/sim;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$\sim$">|; 

$key = q/PN_{ijk}(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img53.png"
 ALT="$PN_{ijk}(t)$">|; 

$key = q/{displaymath}AW_{ijk}(t)=AV_{ijk}(t)+AD_{ijk}(t){displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="239" HEIGHT="32" BORDER="0"
 SRC="|."$dir".q|img66.png"
 ALT="\begin{displaymath}
AW_{ijk}(t) = AV_{ijk}(t) + AD_{ijk}(t)
\end{displaymath}">|; 

$key = q/{displaymath}AW_{ijk}(t)=AA_i(t).AS_{ik}(t).AA_j(t).AS_{jk}(t)).AC_{ijk}(t).AR_{ijk}(t){displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="469" HEIGHT="32" BORDER="0"
 SRC="|."$dir".q|img65.png"
 ALT="\begin{displaymath}
AW_{ijk}(t) = AA_i(t).AS_{ik}(t).AA_j(t).AS_{jk}(t)).AC_{ijk}(t).AR_{ijk}(t)
\end{displaymath}">|; 

$key = q/W_{ijk};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img64.png"
 ALT="$W_{ijk}$">|; 

$key = q/C_{ijk}(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img49.png"
 ALT="$C_{ijk}(t)$">|; 

$key = q/PZ;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="$PZ$">|; 

$key = q/AN_{ijk}(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="70" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img54.png"
 ALT="$AN_{ijk}(t)$">|; 

$key = q/{table}{{it{{small{noindentAttheprompt:Procedure:{{tt{gouv_shift}}{table};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="167" HEIGHT="38" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="\begin{table}{\it\small
\noindent
At the prompt:\\\\
Procedure: {\tt go uv\_shift} \\\\
}
\end{table}">|; 

$key = q/{table}{{it{{small{{par{noindentAttheprompt:Procedure:{{tt{gouv_map}}{par{{{it{{les:{{tt{lettypelmv}{{tt{lettypebeam}{{tt{letfirst7}minipage{}{table};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="340" HEIGHT="138" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="\begin{table}{\it\small
\par
\noindent
At the prompt:\\\\
Procedure: {\tt go uv\_...
...v} \\\\
{\tt let type beam} \\\\
{\tt let first 7} \\\\
\end{minipage}}
\end{table}">|; 

$key = q/S_{ij};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img74.png"
 ALT="$S_{ij}$">|; 

$key = q/b_{ijk};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img77.png"
 ALT="$b_{ijk}$">|; 

$key = q/k;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img22.png"
 ALT="$k$">|; 

$key = q/{displaymath}V_{ijk}(t)=FT(P(x,y)I(x,y,k))(u,v)_{ij}{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="283" HEIGHT="32" BORDER="0"
 SRC="|."$dir".q|img37.png"
 ALT="\begin{displaymath}
V_{ijk}(t) = FT ( P(x,y) I(x,y,k) ) (u,v)_{ij}
\end{displaymath}">|; 

$key = q/^1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="$^1$">|; 

$key = q/{displaymath}PW_{ijk}(t)=PA_i(t)+PS_{ik}(t)-PA_j(t)-PS_{jk}(t)+PC_{ijk}(t)+PR_{ijk}(t){displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="549" HEIGHT="32" BORDER="0"
 SRC="|."$dir".q|img56.png"
 ALT="\begin{displaymath}
PW_{ijk}(t) = PA_i(t)+PS_{ik}(t)-PA_j(t)-PS_{jk}(t)+PC_{ijk}(t)+PR_{ijk}(t)
\end{displaymath}">|; 

$key = q/AI_i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img75.png"
 ALT="$AI_i$">|; 

$key = q/{displaymath}PW_{ijk}(t)=PV_{ijk}(t)+PD_{ijk}(t){displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="241" HEIGHT="32" BORDER="0"
 SRC="|."$dir".q|img57.png"
 ALT="\begin{displaymath}
PW_{ijk}(t) = PV_{ijk}(t) + PD_{ijk}(t)
\end{displaymath}">|; 

$key = q/i,j;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img70.png"
 ALT="$i,j$">|; 

$key = q/PD_{ijk};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img63.png"
 ALT="$PD_{ijk}$">|; 

$key = q/A_i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img40.png"
 ALT="$A_i$">|; 

$key = q/{table}{{it{{small{{par{noindent{{rm{Toplot}:Procedure:{{tt{gobit}{par{vspace{-1}{{tt{letfirst23}{{tt{letlast45}{{tt{lettypelmv-res}minipage{}{table};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="380" HEIGHT="97" BORDER="0"
 SRC="|."$dir".q|img14.png"
 ALT="\begin{table}{\it\small
\par
\noindent
{\rm To plot}:\\\\
Procedure: {\tt go bit}...
...\\\\
{\tt let last 45} \\\\
{\tt let type lmv-res} \\\\
\end{minipage}}
\end{table}">|; 

$key = q/x,y;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img28.png"
 ALT="$x,y$">|; 

$key = q/deltanuslashnu<<1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="87" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img36.png"
 ALT="$\delta\nu/\nu &#171; 1$">|; 

$key = q/(u(t),v(t))_{ij};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="96" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img25.png"
 ALT="$(u(t),v(t))_{ij}$">|; 

$key = q/AN;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="33" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img55.png"
 ALT="$AN$">|; 

$key = q/A_i(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img51.png"
 ALT="$A_i(t)$">|; 

$key = q/(x',y');MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img32.png"
 ALT="$(x',y')$">|; 

$key = q/bullet;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$\bullet$">|; 

$key = q/_2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$_2$">|; 

$key = q/B_i(x,y,x',y');MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="107" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img30.png"
 ALT="$B_i(x,y,x',y')$">|; 

$key = q/FT;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img27.png"
 ALT="$FT$">|; 

$key = q/^{{rm{o};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img79.png"
 ALT="$^{\rm o}$">|; 

$key = q/PI_i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img76.png"
 ALT="$PI_i$">|; 

$key = q/(u,v)_{ij};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img35.png"
 ALT="$(u,v)_{ij}$">|; 

$key = q/N_{ijk}(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="57" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img47.png"
 ALT="$N_{ijk}(t)$">|; 

$key = q/O_{ijk}=0;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img48.png"
 ALT="$O_{ijk} = 0$">|; 

$key = q/V_{ijk}(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="$V_{ijk}(t)$">|; 

$key = q/{displaymath}V_{ijk}=A_iA^*_jS_{ik}S^*_{jk}C_{ijk}R_{ijk}+O_{ijk}+N_{ijk}{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="309" HEIGHT="34" BORDER="0"
 SRC="|."$dir".q|img39.png"
 ALT="\begin{displaymath}
V_{ijk} = A_i A^*_j S_{ik} S^*_{jk} C_{ijk} R_{ijk} + O_{ijk} + N_{ijk}
\end{displaymath}">|; 

$key = q/AC_{ijk};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img69.png"
 ALT="$AC_{ijk}$">|; 

$key = q/AR_{ijk}(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="70" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img72.png"
 ALT="$AR_{ijk}(t)$">|; 

$key = q/(x_i,y_i);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img34.png"
 ALT="$(x_i,y_i)$">|; 

$key = q/{table}{{it{{small{{par{vspace{0cm}{par{noindentAttheprompt:Procedure:{{tt{gouvsashno}{{tt{letuvshow{%{trackyesslashno}{par{minipage{}{table};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="426" HEIGHT="155" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="\begin{table}{\it\small
\par
\vspace{0cm}
\par
\noindent
At the prompt:\\\\
Proce...
...es/no} \\\\
{\tt let uvshow$\%$track yes/no} \\\\
\par
\end{minipage}}
\end{table}">|; 

$key = q/{displaymath}V_{ijk}(t)=AV_{ijk}(t).exp(-i.PV_{ijk}(t)){displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="266" HEIGHT="32" BORDER="0"
 SRC="|."$dir".q|img24.png"
 ALT="\begin{displaymath}
V_{ijk}(t) = AV_{ijk}(t) . \exp(-i.PV_{ijk}(t))
\end{displaymath}">|; 

$key = q/A_i.A^*_j.S_{ij}.S^*_{ij};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="103" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img78.png"
 ALT="$A_i.A^*_j.S_{ij}.S^*_{ij}$">|; 

$key = q/-;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$-$">|; 

$key = q/i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="10" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img31.png"
 ALT="$i$">|; 

$key = q/{table}{{it{{small{{par{noindentAttheprompt:Procedure:{{tt{gosupport}{par{vspaceetsupport{%{kindcursorslashellipseslashrect}minipage{}{table};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="535" HEIGHT="60" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="\begin{table}{\it\small
\par
\noindent
At the prompt:\\\\
Procedure: {\tt go supp...
...\
{\tt let support$\%$kind cursor/ellipse/rect} \\\\
\end{minipage}}
\end{table}">|; 

$key = q/AR_{ijk};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img71.png"
 ALT="$AR_{ijk}$">|; 

$key = q/R_{ijk};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img43.png"
 ALT="$R_{ijk}$">|; 

$key = q/t;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img23.png"
 ALT="$t$">|; 

$key = q/R_{ijk}(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="57" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img62.png"
 ALT="$R_{ijk}(t)$">|; 

$key = q/ij;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img21.png"
 ALT="$ij$">|; 

$key = q/C_{ijk};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img42.png"
 ALT="$C_{ijk}$">|; 

$key = q/Z;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="$Z$">|; 

$key = q/^{-2};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="$^{-2}$">|; 

$key = q/PR_{ijk};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img61.png"
 ALT="$PR_{ijk}$">|; 

$key = q/^{-3};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="$^{-3}$">|; 

$key = q/O_{ijk};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img44.png"
 ALT="$O_{ijk}$">|; 

$key = q/%;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="$\%$">|; 

$key = q/I(x,y,k);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img29.png"
 ALT="$I(x,y,k)$">|; 

$key = q/{table}{{it{{small{{par{noindentAttheprompt:Procedure:{{tt{goview}}{par{{bigskip3}{{tt{letlast45}{{tt{letsize50}{{tt{letspacing3e-3}minipage{}{table};LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="379" HEIGHT="202" BORDER="0"
 SRC="|."$dir".q|img15.png"
 ALT="\begin{table}{\it\small
\par
\noindent
At the prompt:\\\\
Procedure: {\tt go vie...
...\\\\
{\tt let size 50} \\\\
{\tt let spacing 3e-3} \\\\
\end{minipage}}
\end{table}">|; 

$key = q/AS_{ik};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img68.png"
 ALT="$AS_{ik}$">|; 

$key = q/PS_{ik};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img59.png"
 ALT="$PS_{ik}$">|; 

$key = q/j;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img45.png"
 ALT="$j$">|; 

$key = q/S_{ik};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img41.png"
 ALT="$S_{ik}$">|; 

$key = q/{table}{{it{{small{{par{noindentAttheprompt:Procedure:{{tt{goclean}{par{vspace{-sslashno}{{tt{letniter1500}{{tt{letares1e-3}minipage{}{table};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="451" HEIGHT="114" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="\begin{table}{\it\small
\par
\noindent
At the prompt:\\\\
Procedure: {\tt go clea...
...}\\\\
{\tt let niter 1500} \\\\
{\tt let ares 1e-3}\\\\
\end{minipage}}
\end{table}">|; 

$key = q/P(x,y);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="59" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img38.png"
 ALT="$P(x,y)$">|; 

$key = q/{displaymath}V_{ijk}(t)=FT(B_i(x,y,x_0+x_i,y_0+y_i)B^*_j(x,y,x_0+x_j,y_0+y_j)I(x,y,k))(u,v)_{ij}{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="564" HEIGHT="34" BORDER="0"
 SRC="|."$dir".q|img26.png"
 ALT="\begin{displaymath}
V_{ijk}(t) = FT ( B_i(x,y,x_0+x_i,y_0+y_i) B^*_j(x,y,x_0+x_j,y_0+y_j)
I(x,y,k) ) (u,v)_{ij}
\end{displaymath}">|; 

$key = q/AZ;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="$AZ$">|; 

$key = q/S_{ik}(t);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img50.png"
 ALT="$S_{ik}(t)$">|; 

$key = q/W=V-O-N=V-N;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="207" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img52.png"
 ALT="$ W = V - O - N = V - N $">|; 

$key = q/AA_i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img67.png"
 ALT="$AA_i$">|; 

1;

