# LaTeX2HTML 2K.1beta (1.50)
# Associate images original text with physical files.


$key = q/v=V(Deltax);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="95" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img52.gif"
 ALT="$v = V(\Delta x)$">|; 

$key = q/U^{t-1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img193.gif"
 ALT="$U^{t-1}$">|; 

$key = q/(0111)triangle(1111);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img212.gif"
 ALT="$(0111)\triangle(1111)$">|; 

$key = q/forall;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img124.gif"
 ALT="$\forall$">|; 

$key = q/2^{2(2)}=16;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="83" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img232.gif"
 ALT="$2^{2(2)} = 16$">|; 

$key = q/i+1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img174.gif"
 ALT="$i + 1$">|; 

$key = q/includegraphics[width=6.5in]{6-5r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="747" HEIGHT="553" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img290.gif"
 ALT="\includegraphics[width=6.5in]{6-5r}">|; 

$key = q/V(Deltax);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img45.gif"
 ALT="$V(\Delta x)$">|; 

$key = q/2^{#(N)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img163.gif"
 ALT="$2^{\char93 (N)}$">|; 

$key = q/1slashmu;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img61.gif"
 ALT="$1/ \mu$">|; 

$key = q/f(a)=b;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="73" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img129.gif"
 ALT="$f(a) = b$">|; 

$key = q/f:AmapstoB;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="91" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img90.gif"
 ALT="$f: A
\mapsto B $">|; 

$key = q/(0000)triangle(0000);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img197.gif"
 ALT="$(0000)\triangle(0000)$">|; 

$key = q/(1100)triangle(1000);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img221.gif"
 ALT="$(1100)\triangle(1000)$">|; 

$key = q/(1001)triangle(0011);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img216.gif"
 ALT="$(1001)\triangle(0011)$">|; 

$key = q/(0011)triangle(0110);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img203.gif"
 ALT="$(0011)\triangle(0110)$">|; 

$key = q/displaystyleU^{t+1}_j=U^t_j+{{rm{min}[U^t_{j-1}-{U^{t-1}_{j-1}-{{rm{min}(U^{t-1}_{j-1},L-U^{t-1}_j)},L-U^t_j];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="523" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img189.gif"
 ALT="$\displaystyle U^{t+1}_j = U^t_j + {\rm min}[U^t_{j-1} - \{U^{t-1}_{j-1} -
{\rm min}(U^{t-1}_{j-1}, L - U^{t-1}_j)\}, L - U^t_j]$">|; 

$key = q/(1111)triangle(1110);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img227.gif"
 ALT="$(1111)\triangle(1110)$">|; 

$key = q/00;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img158.gif"
 ALT="$00$">|; 

$key = q/exists;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img127.gif"
 ALT="$\exists$">|; 

$key = q/includegraphics[width=3.7in]{1-3r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="416" HEIGHT="466" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img12.gif"
 ALT="\includegraphics[width=3.7in]{1-3r}">|; 

$key = q/4=2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img152.gif"
 ALT="$4=2$">|; 

$key = q/V_{max}=3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="78" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img4.gif"
 ALT="$V_{max} = 3$">|; 

$key = q/V_p;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img169.gif"
 ALT="$V_p$">|; 

$key = q/includegraphics[width=2.5in]{4-8r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="281" HEIGHT="276" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img194.gif"
 ALT="\includegraphics[width=2.5in]{4-8r}">|; 

$key = q/54;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img87.gif"
 ALT="$54$">|; 

$key = q/K;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img79.gif"
 ALT="$K$">|; 

$key = q/includegraphics[width=3in]{3-10r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="326" HEIGHT="238" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img92.gif"
 ALT="\includegraphics[width=3in]{3-10r}">|; 

$key = q/(i,j+1);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="75" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img70.gif"
 ALT="$(i,j+1)$">|; 

$key = q/n-1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img57.gif"
 ALT="$n - 1$">|; 

$key = q/includegraphics[width=4.1in]{5-11r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="457" HEIGHT="858" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img277.gif"
 ALT="\includegraphics[width=4.1in]{5-11r}">|; 

$key = q/sobreyectiva;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="107" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img123.gif"
 ALT="$sobreyectiva$">|; 

$key = q/{displaymath}frac{partialrho(x,t)}{partialt}+frac{partialJ(x,t)}{partialx}=0.{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="192" HEIGHT="47" BORDER="0"
 SRC="|."$dir".q|img28.gif"
 ALT="\begin{displaymath}
\frac{\partial \rho(x,t)}{\partial t} + \frac{\partial
J(x,t)}{\partial x} = 0.
\end{displaymath}">|; 

$key = q/{displaymath}a_i(t+tau)=c_1cdotfrac{[v_i(t)]^m}{[Deltax_i(t)]^l}cdotDeltav_i(t),{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="266" HEIGHT="52" BORDER="0"
 SRC="|."$dir".q|img41.gif"
 ALT="\begin{displaymath}
a_i (t + \tau) = c_1 \cdot \frac{[v_i (t)]^m}{[\Delta x_i (t)]^l}
\cdot \Delta v_i (t),
\end{displaymath}">|; 

$key = q/includegraphics[width=2in]{3-19r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="222" HEIGHT="200" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img116.gif"
 ALT="\includegraphics[width=2in]{3-19r}">|; 

$key = q/includegraphics[width=4in]{4-17r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="451" HEIGHT="343" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img242.gif"
 ALT="\includegraphics[width=4in]{4-17r}">|; 

$key = q/4^{2(2)}=256;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="92" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img274.gif"
 ALT="$4^{2(2)} = 256$">|; 

$key = q/(k,r);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img86.gif"
 ALT="$(k,r)$">|; 

$key = q/emptyset;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img162.gif"
 ALT="$\emptyset$">|; 

$key = q/includegraphics[width=4in]{5-1r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="449" HEIGHT="211" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img244.gif"
 ALT="\includegraphics[width=4in]{5-1r}">|; 

$key = q/2^{256};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img273.gif"
 ALT="$2^{256}$">|; 

$key = q/i+q;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img175.gif"
 ALT="$i + q$">|; 

$key = q/k;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img19.gif"
 ALT="$k$">|; 

$key = q/includegraphics[width=5.5in]{5-9er};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="620" HEIGHT="900" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img267.gif"
 ALT="\includegraphics[width=5.5in]{5-9er}">|; 

$key = q/U^t_j;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img182.gif"
 ALT="$U^t_j$">|; 

$key = q/j=2(3)=6;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="106" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img151.gif"
 ALT="$j=2(3)=6$">|; 

$key = q/1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img141.gif"
 ALT="$1$">|; 

$key = q/includegraphics[width=3in]{3-15r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="338" HEIGHT="254" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img112.gif"
 ALT="\includegraphics[width=3in]{3-15r}">|; 

$key = q/2(0);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img139.gif"
 ALT="$2(0)$">|; 

$key = q/includegraphics[width=4.7in]{5-10r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="528" HEIGHT="572" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img276.gif"
 ALT="\includegraphics[width=4.7in]{5-10r}">|; 

$key = q/(x,x+dx);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="92" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img14.gif"
 ALT="$(x,x+dx)$">|; 

$key = q/2^0+2^1+2^2+2^3=1+2+4+8=15;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="317" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img165.gif"
 ALT="$2^0 + 2^1 + 2^2 + 2^3 = 1 + 2 + 4 + 8 = 15$">|; 

$key = q/in;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img126.gif"
 ALT="$\in$">|; 

$key = q/4^{2(2)+1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img259.gif"
 ALT="$4^{2(2) + 1}$">|; 

$key = q/(1010)triangle(0101);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img218.gif"
 ALT="$(1010)\triangle(0101)$">|; 

$key = q/(0101)triangle(1010);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img207.gif"
 ALT="$(0101)\triangle(1010)$">|; 

$key = q/includegraphics[width=4in]{1-2r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="459" HEIGHT="327" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img11.gif"
 ALT="\includegraphics[width=4in]{1-2r}">|; 

$key = q/includegraphics[width=4in]{4-1r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="450" HEIGHT="71" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img167.gif"
 ALT="\includegraphics[width=4in]{4-1r}">|; 

$key = q/IsubsetB;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img109.gif"
 ALT="$I \subset B$">|; 

$key = q/A;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img94.gif"
 ALT="$A$">|; 

$key = q/lambda;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img58.gif"
 ALT="$\lambda$">|; 

$key = q/f;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img119.gif"
 ALT="$f$">|; 

$key = q/v_1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img17.gif"
 ALT="$v_1$">|; 

$key = q/includegraphics[width=6.5in]{6-4r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="747" HEIGHT="551" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img289.gif"
 ALT="\includegraphics[width=6.5in]{6-4r}">|; 

$key = q/{displaymath}v_i(t+tau)alphaDeltax_i(t),{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="138" HEIGHT="33" BORDER="0"
 SRC="|."$dir".q|img33.gif"
 ALT="\begin{displaymath}
v_i (t + \tau) \alpha \Delta x_i (t),
\end{displaymath}">|; 

$key = q/{displaymath}MB=left(array{{cccc}0_{0000,0000}&0_{0000,0001}&0_{0001,0010}&0_{0010,1101}&0_{1111,1110}&1_{1111,1111}array{right){displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="419" HEIGHT="191" BORDER="0"
 SRC="|."$dir".q|img234.gif"
 ALT="\begin{displaymath}
MB = \left (
\begin{array}{cccc}
0_{0000,0000} &amp; 0_{0000...
...,1101} &amp; 0_{1111,1110} &amp; 1_{1111,1111}
\end{array}
\right )
\end{displaymath}">|; 

$key = q/includegraphics[width=5.5in]{5-9jr};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="621" HEIGHT="235" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img272.gif"
 ALT="\includegraphics[width=5.5in]{5-9jr}">|; 

$key = q/v;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img1.gif"
 ALT="$v$">|; 

$key = q/rholeq0.5;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="64" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img285.gif"
 ALT="$\rho \leq 0.5$">|; 

$key = q/q=2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img177.gif"
 ALT="$q = 2$">|; 

$key = q/01;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img159.gif"
 ALT="$01$">|; 

$key = q/a;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img38.gif"
 ALT="$a$">|; 

$key = q/k^{2r+1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img88.gif"
 ALT="$k^{2r + 1}$">|; 

$key = q/4=3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img154.gif"
 ALT="$4=3$">|; 

$key = q/U^t;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img192.gif"
 ALT="$U^t$">|; 

$key = q/includegraphics[width=2.9in]{4-7r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="318" HEIGHT="282" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img180.gif"
 ALT="\includegraphics[width=2.9in]{4-7r}">|; 

$key = q/L;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img132.gif"
 ALT="$L$">|; 

$key = q/q;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img173.gif"
 ALT="$q$">|; 

$key = q/f(x,v,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="74" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img13.gif"
 ALT="$f(x,v,t)$">|; 

$key = q/(0000)triangle(0001);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img198.gif"
 ALT="$(0000)\triangle(0001)$">|; 

$key = q/rho_1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.gif"
 ALT="$\rho_1$">|; 

$key = q/(1100)triangle(1001);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img222.gif"
 ALT="$(1100)\triangle(1001)$">|; 

$key = q/(0110)triangle(1100);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img209.gif"
 ALT="$(0110)\triangle(1100)$">|; 

$key = q/includegraphics[width=4in]{2-1r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="451" HEIGHT="267" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img24.gif"
 ALT="\includegraphics[width=4in]{2-1r}">|; 

$key = q/(0011)triangle(0111);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img204.gif"
 ALT="$(0011)\triangle(0111)$">|; 

$key = q/(1111)triangle(1111);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img228.gif"
 ALT="$(1111)\triangle(1111)$">|; 

$key = q/{displaymath}dot{v}(t)=alpha[V(Deltax(t-tau))-v(t)].{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="248" HEIGHT="33" BORDER="0"
 SRC="|."$dir".q|img51.gif"
 ALT="\begin{displaymath}
\dot{v}(t) = \alpha [V(\Delta x(t - \tau))-v(t)].
\end{displaymath}">|; 

$key = q/j+1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img186.gif"
 ALT="$j + 1$">|; 

$key = q/l;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img42.gif"
 ALT="$l$">|; 

$key = q/includegraphics[width=5.5in]{5-9dr};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="620" HEIGHT="900" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img266.gif"
 ALT="\includegraphics[width=5.5in]{5-9dr}">|; 

$key = q/(i,j);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img66.gif"
 ALT="$(i,j)$">|; 

$key = q/includegraphics[width=3in]{3-14r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="338" HEIGHT="254" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img111.gif"
 ALT="\includegraphics[width=3in]{3-14r}">|; 

$key = q/V_p=1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img284.gif"
 ALT="$V_p = 1$">|; 

$key = q/includegraphics[width=4in]{3-25r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="452" HEIGHT="450" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img166.gif"
 ALT="\includegraphics[width=4in]{3-25r}">|; 

$key = q/i=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img138.gif"
 ALT="$i=0$">|; 

$key = q/R_{1,q};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img176.gif"
 ALT="$R_{1,q}$">|; 

$key = q/(1000)triangle(0000);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img213.gif"
 ALT="$(1000)\triangle(0000)$">|; 

$key = q/U^{t+1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img191.gif"
 ALT="$U^{t+1}$">|; 

$key = q/includegraphics[width=4in]{1-1r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="424" HEIGHT="111" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img10.gif"
 ALT="\includegraphics[width=4in]{1-1r}">|; 

$key = q/{displaymath}dot{v}=alphacdot(V(Deltax)-v),{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="168" HEIGHT="33" BORDER="0"
 SRC="|."$dir".q|img44.gif"
 ALT="\begin{displaymath}
\dot{v} = \alpha \cdot (V(\Delta x)-v),
\end{displaymath}">|; 

$key = q/(1011)triangle(0110);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img219.gif"
 ALT="$(1011)\triangle(0110)$">|; 

$key = q/CG_t;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img103.gif"
 ALT="$CG_t$">|; 

$key = q/Deltav;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img40.gif"
 ALT="$\Delta v$">|; 

$key = q/includegraphics[width=3.3in]{3-6r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="367" HEIGHT="96" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img80.gif"
 ALT="\includegraphics[width=3.3in]{3-6r}">|; 

$key = q/B;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img105.gif"
 ALT="$B$">|; 

$key = q/k^{2r};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img157.gif"
 ALT="$k^{2r}$">|; 

$key = q/includegraphics[width=6.5in]{6-3r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="747" HEIGHT="554" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img288.gif"
 ALT="\includegraphics[width=6.5in]{6-3r}">|; 

$key = q/v_2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img21.gif"
 ALT="$v_2$">|; 

$key = q/j=2(2)=4;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="106" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img146.gif"
 ALT="$j=2(2)=4$">|; 

$key = q/NotimesN;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="62" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img133.gif"
 ALT="$N \otimes N$">|; 

$key = q/includegraphics[width=4in]{4-10r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="451" HEIGHT="414" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img196.gif"
 ALT="\includegraphics[width=4in]{4-10r}">|; 

$key = q/includegraphics[width=3.4in]{5-12r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="384" HEIGHT="893" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img280.gif"
 ALT="\includegraphics[width=3.4in]{5-12r}">|; 

$key = q/rho(x,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img25.gif"
 ALT="$\rho (x,t)$">|; 

$key = q/includegraphics[width=5.5in]{5-9ir};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="620" HEIGHT="900" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img271.gif"
 ALT="\includegraphics[width=5.5in]{5-9ir}">|; 

$key = q/includegraphics[width=7in]{4-15r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="791" HEIGHT="684" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img240.gif"
 ALT="\includegraphics[width=7in]{4-15r}">|; 

$key = q/L=1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img185.gif"
 ALT="$L = 1$">|; 

$key = q/(0101)triangle(1011);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img208.gif"
 ALT="$(0101)\triangle(1011)$">|; 

$key = q/4^{2(2)+1}=1024;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="119" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img275.gif"
 ALT="$4^{2(2) + 1}
= 1024$">|; 

$key = q/ancestro;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="76" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img118.gif"
 ALT="$ancestro$">|; 

$key = q/includegraphics[width=4in]{4-5r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="452" HEIGHT="107" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img178.gif"
 ALT="\includegraphics[width=4in]{4-5r}">|; 

$key = q/b;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img125.gif"
 ALT="$b$">|; 

$key = q/v=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img254.gif"
 ALT="$v = 0$">|; 

$key = q/includegraphics[width=2.9in]{4-6r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="318" HEIGHT="282" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img179.gif"
 ALT="\includegraphics[width=2.9in]{4-6r}">|; 

$key = q/U^t_j-{U^{t-1}_j-{{rm{min}(U^{t-1}_j,L-U^{t-1}_{j+1})};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="294" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img188.gif"
 ALT="$U^t_j - \{U^{t-1}_j - {\rm min}(U^{t-1}_j, L - U^{t-1}_{j+1})\}$">|; 

$key = q/t+1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img73.gif"
 ALT="$t+1$">|; 

$key = q/r;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img82.gif"
 ALT="$r$">|; 

$key = q/(i,j)inL;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="79" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img134.gif"
 ALT="$(i,j) \in L$">|; 

$key = q/triangle;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img229.gif"
 ALT="$\triangle$">|; 

$key = q/(vgeqgap+1);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="116" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img247.gif"
 ALT="$(v \geq gap+1)$">|; 

$key = q/rho_2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img22.gif"
 ALT="$\rho_2$">|; 

$key = q/(0001)triangle(0010);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img199.gif"
 ALT="$(0001)\triangle(0010)$">|; 

$key = q/(1101)triangle(1010);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img223.gif"
 ALT="$(1101)\triangle(1010)$">|; 

$key = q/includegraphics[width=4in]{3-5r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="431" HEIGHT="106" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img78.gif"
 ALT="\includegraphics[width=4in]{3-5r}">|; 

$key = q/mu;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img59.gif"
 ALT="$\mu$">|; 

$key = q/f:CG_tmapstoCG_{t+1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="149" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img102.gif"
 ALT="$f: CG_t \mapsto CG_{t+1} $">|; 

$key = q/displaystyle-{{rm{min}[U^t_j-{U^{t-1}_j-{{rm{min}(U^{t-1}_j,L-U^{t-1}_{j+1})},L-U^t_{j+1}].;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="437" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img190.gif"
 ALT="$\displaystyle -
{\rm min}[U^t_j - \{U^{t-1}_j - {\rm min}(U^{t-1}_j, L - U^{t-1}_{j+1})\}, L -
U^t_{j+1}].$">|; 

$key = q/includegraphics[width=3in]{3-9r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="335" HEIGHT="225" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img91.gif"
 ALT="\includegraphics[width=3in]{3-9r}">|; 

$key = q/includegraphics[width=6.5in]{5-8r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="734" HEIGHT="376" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img256.gif"
 ALT="\includegraphics[width=6.5in]{5-8r}">|; 

$key = q/m;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img43.gif"
 ALT="$m$">|; 

$key = q/includegraphics[width=5.5in]{5-9cr};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="620" HEIGHT="900" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img265.gif"
 ALT="\includegraphics[width=5.5in]{5-9cr}">|; 

$key = q/includegraphics[width=3in]{3-13r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="335" HEIGHT="225" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img110.gif"
 ALT="\includegraphics[width=3in]{3-13r}">|; 

$key = q/{displaymath}MB=left(array{{cccc}1_{00}&1_{01}&0_{02}&0_{03}0_{10}&0_{11}&1_{12}2}&0_{23}0_{30}&0_{31}&1_{32}&1_{33}array{right){displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="241" HEIGHT="99" BORDER="0"
 SRC="|."$dir".q|img155.gif"
 ALT="\begin{displaymath}
MB = \left (
\begin{array}{cccc}
1_{00} &amp; 1_{01} &amp; 0_{02...
...\
0_{30} &amp; 0_{31} &amp; 1_{32} &amp; 1_{33}
\end{array}
\right )
\end{displaymath}">|; 

$key = q/0leqU^t_jleqL;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img183.gif"
 ALT="$0 \leq U^t_j \leq L$">|; 

$key = q/3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img156.gif"
 ALT="$3$">|; 

$key = q/t-4;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img237.gif"
 ALT="$t - 4$">|; 

$key = q/i=1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img142.gif"
 ALT="$i=1$">|; 

$key = q/rho<0.5;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="63" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img258.gif"
 ALT="$\rho &lt; 0.5$">|; 

$key = q/mid;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="10" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img128.gif"
 ALT="$\mid$">|; 

$key = q/(0110)triangle(1101);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img210.gif"
 ALT="$(0110)\triangle(1101)$">|; 

$key = q/includegraphics[width=3in]{4-3r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="338" HEIGHT="539" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img170.gif"
 ALT="\includegraphics[width=3in]{4-3r}">|; 

$key = q/(vleqgap-1);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="116" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img246.gif"
 ALT="$(v \leq gap -1)$">|; 

$key = q/C;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img117.gif"
 ALT="$C$">|; 

$key = q/includegraphics[width=6.5in]{6-2r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="747" HEIGHT="549" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img287.gif"
 ALT="\includegraphics[width=6.5in]{6-2r}">|; 

$key = q/{displaymath}{{rm{umbral}hspace{1mm}alphafrac{Deltav}{Deltax^2}.{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="116" HEIGHT="46" BORDER="0"
 SRC="|."$dir".q|img53.gif"
 ALT="\begin{displaymath}
{\rm umbral} \hspace{1mm} \alpha \frac{\Delta v}{\Delta x^2} .
\end{displaymath}">|; 

$key = q/cdot;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="10" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img32.gif"
 ALT="$\cdot$">|; 

$key = q/inyectiva;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="81" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img120.gif"
 ALT="$inyectiva$">|; 

$key = q/j=2(3)+1=7;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="139" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img153.gif"
 ALT="$j=2(3)+1=7$">|; 

$key = q/includegraphics[width=3.4in]{3-11r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="389" HEIGHT="296" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img93.gif"
 ALT="\includegraphics[width=3.4in]{3-11r}">|; 

$key = q/includegraphics[width=3in]{3-22r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="335" HEIGHT="220" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img131.gif"
 ALT="\includegraphics[width=3in]{3-22r}">|; 

$key = q/includegraphics[width=5.5in]{5-9hr};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="620" HEIGHT="900" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img270.gif"
 ALT="\includegraphics[width=5.5in]{5-9hr}">|; 

$key = q/V(Deltax)=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="95" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img48.gif"
 ALT="$V(\Delta x) = 0$">|; 

$key = q/includegraphics[width=4.7in]{4-13r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="528" HEIGHT="875" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img238.gif"
 ALT="\includegraphics[width=4.7in]{4-13r}">|; 

$key = q/includegraphics[width=3.5in]{3-18r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="389" HEIGHT="494" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img115.gif"
 ALT="\includegraphics[width=3.5in]{3-18r}">|; 

$key = q/x;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img27.gif"
 ALT="$x$">|; 

$key = q/rho_{out};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img50.gif"
 ALT="$\rho_{out}$">|; 

$key = q/m=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img55.gif"
 ALT="$m = 0$">|; 

$key = q/(0010)triangle(0100);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img201.gif"
 ALT="$(0010)\triangle(0100)$">|; 

$key = q/(1000)triangle(0001);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img214.gif"
 ALT="$(1000)\triangle(0001)$">|; 

$key = q/(1110)triangle(1100);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img225.gif"
 ALT="$(1110)\triangle(1100)$">|; 

$key = q/(1011)triangle(0111);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img220.gif"
 ALT="$(1011)\triangle(0111)$">|; 

$key = q/#(A)=n;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="85" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img98.gif"
 ALT="$\char93  (A) = n$">|; 

$key = q/includegraphics[width=1.8in]{3-2r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="183" HEIGHT="165" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img75.gif"
 ALT="\includegraphics[width=1.8in]{3-2r}">|; 

$key = q/includegraphics[width=4in]{4-4r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="452" HEIGHT="107" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img172.gif"
 ALT="\includegraphics[width=4in]{4-4r}">|; 

$key = q/0rightarrow2rightarrow8rightarrow35rightarrow142rightarrow56rightarrow226rightarrow136rightarrow32rightarrow128rightarrow0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="507" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img278.gif"
 ALT="$0\rightarrow2\rightarrow8\rightarrow35\rightarrow142\rightarrow56\rightarrow226\rightarrow136\rightarrow32\rightarrow128\rightarrow0$">|; 

$key = q/lambdaslashmu=rho;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img62.gif"
 ALT="$\lambda / \mu = \rho$">|; 

$key = q/0leqU^{t+1}_jleqL;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="115" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img184.gif"
 ALT="$0
\leq U^{t+1}_j \leq L$">|; 

$key = q/v=1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img253.gif"
 ALT="$v = 1$">|; 

$key = q/v:=gap;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="74" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img248.gif"
 ALT="$v := gap$">|; 

$key = q/2^4=16;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img164.gif"
 ALT="$2^4 = 16$">|; 

$key = q/{displaymath}MB_{i,j}=left{array{{ll}1&j=left{array{{l}kiki+1..indentindentindenay{right.0&mbox{encualquierotrocaso}array{right.{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="300" HEIGHT="191" BORDER="0"
 SRC="|."$dir".q|img136.gif"
 ALT="\begin{displaymath}
MB_{i,j} = \left \{
\begin{array}{ll}
1&amp;j = \left \{ \beg...
... \ 0&amp;\mbox{en cualquier otro
caso}
\end{array}
\right .
\end{displaymath}">|; 

$key = q/j=2(1)=2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="106" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img143.gif"
 ALT="$j=2(1)=2$">|; 

$key = q/(v,v+dv);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="90" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img15.gif"
 ALT="$(v,v+dv)$">|; 

$key = q/N;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img96.gif"
 ALT="$N$">|; 

$key = q/2(0)+1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="70" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img140.gif"
 ALT="$2(0)+1$">|; 

$key = q/t-1,t-2,t-3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="140" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img236.gif"
 ALT="$t - 1, t - 2, t - 3$">|; 

$key = q/J(x,t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="57" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img26.gif"
 ALT="$J(x,t)$">|; 

$key = q/V_{max};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img2.gif"
 ALT="$V_{max}$">|; 

$key = q/l=2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img54.gif"
 ALT="$l =
2$">|; 

$key = q/includegraphics[width=3in]{2-3r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="345" HEIGHT="161" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img64.gif"
 ALT="\includegraphics[width=3in]{2-3r}">|; 

$key = q/2r+1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img83.gif"
 ALT="$2r
+ 1$">|; 

$key = q/4=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img147.gif"
 ALT="$4=0$">|; 

$key = q/V_{max}=1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="78" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img171.gif"
 ALT="$V_{max} = 1$">|; 

$key = q/2^1+2^2+2^4+2^5=2+4+16+32=54;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="336" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img89.gif"
 ALT="$2^1 + 2^2 + 2^4 + 2^5 = 2 + 4 + 16 + 32 =
54$">|; 

$key = q/includegraphics[width=4.5in]{5-3r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="508" HEIGHT="471" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img249.gif"
 ALT="\includegraphics[width=4.5in]{5-3r}">|; 

$key = q/includegraphics[width=1.8in]{3-7r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="176" HEIGHT="42" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img84.gif"
 ALT="\includegraphics[width=1.8in]{3-7r}">|; 

$key = q/I;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img107.gif"
 ALT="$I$">|; 

$key = q/K={0,1,2,3};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="129" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img261.gif"
 ALT="$K = \{0,1,2,3\}$">|; 

$key = q/j=2(2)+1=5;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="139" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img148.gif"
 ALT="$j=2(2)+1=5$">|; 

$key = q/{displaymath}V_p=left{array{{ll}1&{{rm{si}indentrholeqfrac{1}{2}frac{1-rho}{rho}&mbox{encualquierotrocaso.}array{right.{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="292" HEIGHT="78" BORDER="0"
 SRC="|."$dir".q|img168.gif"
 ALT="\begin{displaymath}
V_p = \left \{
\begin{array}{ll}
1&amp;{\rm si} \indent \rho ...
...{\rho}&amp;\mbox{en cualquier otro caso.}
\end{array}
\right .
\end{displaymath}">|; 

$key = q/includegraphics[width=5.5in]{5-9br};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="620" HEIGHT="900" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img264.gif"
 ALT="\includegraphics[width=5.5in]{5-9br}">|; 

$key = q/1slashlambda;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img60.gif"
 ALT="$1/ \lambda$">|; 

$key = q/n;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img56.gif"
 ALT="$n$">|; 

$key = q/(i-1,j);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="76" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img68.gif"
 ALT="$(i-1,j)$">|; 

$key = q/(i,j-1);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="76" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img71.gif"
 ALT="$(i,j-1)$">|; 

$key = q/4;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img99.gif"
 ALT="$4$">|; 

$key = q/includegraphics[width=6.2in]{4-14r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="699" HEIGHT="834" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img239.gif"
 ALT="\includegraphics[width=6.2in]{4-14r}">|; 

$key = q/i=2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img145.gif"
 ALT="$i=2$">|; 

$key = q/rhogeq0.5;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="64" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img257.gif"
 ALT="$\rho \geq 0.5$">|; 

$key = q/v_{jam}=-(v_2-v_1)rho_1slashrho_2+v_1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="234" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img23.gif"
 ALT="$v_{jam}= -(v_2 - v_1)\rho_1/\rho_2 + v_1$">|; 

$key = q/U^{t-1}_j-{{rm{min}(U^{t-1}_j,L-U^{t-1}_{j+1});MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="231" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img187.gif"
 ALT="$U^{t-1}_j - {\rm min}(U^{t-1}_j, L - U^{t-1}_{j+1})$">|; 

$key = q/(0100)triangle(1000);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img205.gif"
 ALT="$(0100)\triangle(1000)$">|; 

$key = q/includegraphics[width=2in]{3-1r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="206" HEIGHT="206" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img74.gif"
 ALT="\includegraphics[width=2in]{3-1r}">|; 

$key = q/(0001)triangle(0011);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img200.gif"
 ALT="$(0001)\triangle(0011)$">|; 

$key = q/(0111)triangle(1110);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img211.gif"
 ALT="$(0111)\triangle(1110)$">|; 

$key = q/(1101)triangle(1011);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img224.gif"
 ALT="$(1101)\triangle(1011)$">|; 

$key = q/S_n;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img95.gif"
 ALT="$S_n$">|; 

$key = q/Deltax;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img36.gif"
 ALT="$\Delta x$">|; 

$key = q/includegraphics[width=2.5in]{5-4r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="281" HEIGHT="282" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img250.gif"
 ALT="\includegraphics[width=2.5in]{5-4r}">|; 

$key = q/D;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img106.gif"
 ALT="$D$">|; 

$key = q/includegraphics[width=6.5in]{6-1r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="747" HEIGHT="553" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img286.gif"
 ALT="\includegraphics[width=6.5in]{6-1r}">|; 

$key = q/i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img39.gif"
 ALT="$i$">|; 

$key = q/{picture}(-10,10)(3,70)includegraphics[width=0.9in]{logo3}{picture};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="103" HEIGHT="99" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img7.gif"
 ALT="\begin{picture}(-10,10)(3,70)
\includegraphics[width=0.9in]{logo3}
\end{picture}">|; 

$key = q/includegraphics[width=3in]{3-21r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="335" HEIGHT="220" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img130.gif"
 ALT="\includegraphics[width=3in]{3-21r}">|; 

$key = q/>1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.gif"
 ALT="$&gt; 1$">|; 

$key = q/includegraphics[width=5.5in]{5-9gr};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="620" HEIGHT="900" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img269.gif"
 ALT="\includegraphics[width=5.5in]{5-9gr}">|; 

$key = q/includegraphics[width=3in]{3-17r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="338" HEIGHT="254" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img114.gif"
 ALT="\includegraphics[width=3in]{3-17r}">|; 

$key = q/includegraphics[width=2.5in]{3-24r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="281" HEIGHT="282" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img161.gif"
 ALT="\includegraphics[width=2.5in]{3-24r}">|; 

$key = q/(1001)triangle(0010);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img215.gif"
 ALT="$(1001)\triangle(0010)$">|; 

$key = q/v_i;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img34.gif"
 ALT="$v_i$">|; 

$key = q/{displaymath}MT_{i,j}=left{array{{ll}1&(i,j)inL0&mbox{encualquierotrocaso.}array{right.{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="300" HEIGHT="54" BORDER="0"
 SRC="|."$dir".q|img135.gif"
 ALT="\begin{displaymath}
MT_{i,j} = \left \{
\begin{array}{ll}
1&amp;(i,j) \in L \\\\
0&amp;\mbox{en cualquier otro caso.}
\end{array}
\right .
\end{displaymath}">|; 

$key = q/4^{4^{2(2)+1}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="22" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img260.gif"
 ALT="$4^{4^{2(2) + 1}}$">|; 

$key = q/J(c(x,t));MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="80" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img29.gif"
 ALT="$J(c(x,t))$">|; 

$key = q/j=2(1)+1=3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="139" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img144.gif"
 ALT="$j=2(1)+1=3$">|; 

$key = q/(i+1,j);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="75" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img69.gif"
 ALT="$(i+1,j)$">|; 

$key = q/{displaymath}frac{partialrho(x,t)}{partialt}+vgfrac{partialrho(x,t)}{partialx}=0,{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="208" HEIGHT="47" BORDER="0"
 SRC="|."$dir".q|img30.gif"
 ALT="\begin{displaymath}
\frac{\partial \rho(x,t)}{\partial t} + vg \frac{\partial
\rho(x,t)}{\partial x} = 0,
\end{displaymath}">|; 

$key = q/^1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img8.gif"
 ALT="$^1$">|; 

$key = q/0202rightarrow2023rightarrow0230rightarrow2302rightarrow3020rightarrow0200rightarrow2002rightarrow0020rightarrow0202;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="577" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img282.gif"
 ALT="$0202\rightarrow2023\rightarrow0230\rightarrow2302\rightarrow3020\rightarrow0200\rightarrow2002\rightarrow0020\rightarrow0202$">|; 

$key = q/t;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img16.gif"
 ALT="$t$">|; 

$key = q/includegraphics[width=3.6in]{5-13r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="404" HEIGHT="899" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img281.gif"
 ALT="\includegraphics[width=3.6in]{5-13r}">|; 

$key = q/Deltaxrightarrowinfty;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="80" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img47.gif"
 ALT="$\Delta x \rightarrow
\infty$">|; 

$key = q/C_t;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img235.gif"
 ALT="$C_t$">|; 

$key = q/DsubsetA;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img108.gif"
 ALT="$D \subset A$">|; 

$key = q/(0010)triangle(0101);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img202.gif"
 ALT="$(0010)\triangle(0101)$">|; 

$key = q/2^{2(2)+1}=32;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="100" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img233.gif"
 ALT="$2^{2(2) + 1} = 32$">|; 

$key = q/includegraphics[width=3in]{2-2r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="345" HEIGHT="346" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img63.gif"
 ALT="\includegraphics[width=3in]{2-2r}">|; 

$key = q/rho_{l1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img49.gif"
 ALT="$\rho_{l1}$">|; 

$key = q/(1110)triangle(1101);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img226.gif"
 ALT="$(1110)\triangle(1101)$">|; 

$key = q/includegraphics[width=4in]{3-3r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="446" HEIGHT="192" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img76.gif"
 ALT="\includegraphics[width=4in]{3-3r}">|; 

$key = q/{displaymath}U^{t+1}_j=U^t_j+{{rm{min}(U^t_{j-1},L-U^t_j)-{{rm{min}(U^t_j,L-U^t_{j+1}).{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="427" HEIGHT="36" BORDER="0"
 SRC="|."$dir".q|img181.gif"
 ALT="\begin{displaymath}
U^{t+1}_j = U^t_j + {\rm min}(U^t_{j-1},L - U^t_j) - {\rm min}(U^t_j, L -
U^t_{j+1}).
\end{displaymath}">|; 

$key = q/V_{max}=2;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="78" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.gif"
 ALT="$V_{max} = 2$">|; 

$key = q/4=1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img149.gif"
 ALT="$4=1$">|; 

$key = q/includegraphics[width=2.9in]{3-4r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="323" HEIGHT="235" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img77.gif"
 ALT="\includegraphics[width=2.9in]{3-4r}">|; 

$key = q/includegraphics[width=2.5in]{4-9r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="280" HEIGHT="268" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img195.gif"
 ALT="\includegraphics[width=2.5in]{4-9r}">|; 

$key = q/0000rightarrow0002rightarrow0020rightarrow0203rightarrow2032rightarrow0320rightaw3202rightarrow2020rightarrow0200rightarrow2000rightarrow0000;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="711" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img279.gif"
 ALT="$0000\rightarrow0002\rightarrow0020\rightarrow0203\rightarrow2032\rightarrow0320\rightarrow3202\rightarrow2020\rightarrow0200\rightarrow2000\rightarrow0000$">|; 

$key = q/includegraphics[width=5.5in]{5-9ar};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="620" HEIGHT="900" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img263.gif"
 ALT="\includegraphics[width=5.5in]{5-9ar}">|; 

$key = q/includegraphics[width=3.5in]{4-11r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="393" HEIGHT="501" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img230.gif"
 ALT="\includegraphics[width=3.5in]{4-11r}">|; 

$key = q/includegraphics[width=4.2in]{3-23r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="474" HEIGHT="212" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img160.gif"
 ALT="\includegraphics[width=4.2in]{3-23r}">|; 

$key = q/includegraphics[width=5.2in]{4-16r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="586" HEIGHT="860" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img241.gif"
 ALT="\includegraphics[width=5.2in]{4-16r}">|; 

$key = q/includegraphics[width=5.4in]{5-14r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="609" HEIGHT="909" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img283.gif"
 ALT="\includegraphics[width=5.4in]{5-14r}">|; 

$key = q/f(a)=f(b)Rightarrowa=b;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="172" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img121.gif"
 ALT="$f(a) = f(b) \Rightarrow a = b$">|; 

$key = q/gap;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img3.gif"
 ALT="$gap$">|; 

$key = q/i=3;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img150.gif"
 ALT="$i=3$">|; 

$key = q/rho=0.5;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="63" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.gif"
 ALT="$\rho = 0.5$">|; 

$key = q/(1010)triangle(0100);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img217.gif"
 ALT="$(1010)\triangle(0100)$">|; 

$key = q/includegraphics[width=4in]{5-2r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="447" HEIGHT="95" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img245.gif"
 ALT="\includegraphics[width=4in]{5-2r}">|; 

$key = q/#(N)-1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="85" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img137.gif"
 ALT="$\char93  (N) - 1$">|; 

$key = q/includegraphics[width=2.5in]{2-4r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="284" HEIGHT="282" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img65.gif"
 ALT="\includegraphics[width=2.5in]{2-4r}">|; 

$key = q/V_{max}>1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="78" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img243.gif"
 ALT="$V_{max} &gt; 1$">|; 

$key = q/includegraphics[width=3in]{5-6r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="337" HEIGHT="420" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img252.gif"
 ALT="\includegraphics[width=3in]{5-6r}">|; 

$key = q/includegraphics[width=4.1in]{5-7r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="463" HEIGHT="623" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img255.gif"
 ALT="\includegraphics[width=4.1in]{5-7r}">|; 

$key = q/includegraphics[width=4in]{3-8r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="437" HEIGHT="172" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img85.gif"
 ALT="\includegraphics[width=4in]{3-8r}">|; 

$key = q/includegraphics[width=3.5in]{5-5r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="394" HEIGHT="319" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img251.gif"
 ALT="\includegraphics[width=3.5in]{5-5r}">|; 

$key = q/V(Deltax)rightarrowv_{max};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="127" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img46.gif"
 ALT="$V(\Delta x) \rightarrow v_{max}$">|; 

$key = q/rho;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img20.gif"
 ALT="$\rho$">|; 

$key = q/vg(rho)=frac{dJ(c)}{dc};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="109" HEIGHT="45" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img31.gif"
 ALT="$vg(\rho) = \frac{dJ(c)}{dc}$">|; 

$key = q/tau;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img35.gif"
 ALT="$\tau$">|; 

$key = q/j;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img67.gif"
 ALT="$j$">|; 

$key = q/includegraphics[width=5.5in]{5-9r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="620" HEIGHT="902" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img262.gif"
 ALT="\includegraphics[width=5.5in]{5-9r}">|; 

$key = q/includegraphics[width=3in]{3-20r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="335" HEIGHT="220" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img122.gif"
 ALT="\includegraphics[width=3in]{3-20r}">|; 

$key = q/0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img100.gif"
 ALT="$0$">|; 

$key = q/CG_{t+1};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="57" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img104.gif"
 ALT="$CG_{t+1}$">|; 

$key = q/includegraphics[width=5.5in]{5-9fr};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="620" HEIGHT="900" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img268.gif"
 ALT="\includegraphics[width=5.5in]{5-9fr}">|; 

$key = q/t-1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img72.gif"
 ALT="$t-1$">|; 

$key = q/includegraphics[width=3in]{3-16r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="338" HEIGHT="254" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img113.gif"
 ALT="\includegraphics[width=3in]{3-16r}">|; 

$key = q/#(K)=k.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="93" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img81.gif"
 ALT="$\char93  (K) = k.$">|; 

$key = q/includegraphics[width=3.9in]{3-12r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="449" HEIGHT="408" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img101.gif"
 ALT="\includegraphics[width=3.9in]{3-12r}">|; 

$key = q/includegraphics[width=3.9in]{4-12r};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="440" HEIGHT="588" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img231.gif"
 ALT="\includegraphics[width=3.9in]{4-12r}">|; 

$key = q/a_i(t+tau)alphaDeltav_i(t);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="138" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img37.gif"
 ALT="$a_i (t + \tau ) \alpha \Delta v_i (t)$">|; 

$key = q/S_n={1,2,3,...,n}subsetN;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="200" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img97.gif"
 ALT="$S_n = \{ 1, 2, 3,...,n \} \subset
N$">|; 

$key = q/(0100)triangle(1001);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="126" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img206.gif"
 ALT="$(0100)\triangle(1001)$">|; 

1;

