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


$key = q/displaystylep_{t+1}=14950p_{t}^{5}q_{t}^{22}+65780p_{t}^{6}q_{t}^{21}+65780p_{t}^{5}q_{t}^{22};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="322" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img354.gif"
 ALT="$\displaystyle p_{t+1}=14950p_{t}^{5}q_{t}^{22}+65780p_{t}^{6}q_{t}^{21}+65780p_{t}^{5}q_{t}^{22}$">|; 

$key = q/|f'(x)|>1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="78" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img287.gif"
 ALT="$ \vert f'(x)\vert&gt;1$">|; 

$key = q/x_{i,j,k}inmathbb{Z}otimesmathbb{Z}otimesmathbb{Z};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="128" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img142.gif"
 ALT="$ x_{i,j,k} \in \mathbb{Z} \otimes \mathbb{Z} \otimes \mathbb{Z}$">|; 

$key = q/R(5,6,7,7);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img348.gif"
 ALT="$ R(5,6,7,7)$">|; 

$key = q/S_{max}>3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img290.gif"
 ALT="$ S_{max} &gt; 3$">|; 

$key = q/0011;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img369.gif"
 ALT="$ 0011$">|; 

$key = q/includegraphics[width=6.5in]{imagenesslashcapitulo2slashlife2d_swastika.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="739" HEIGHT="90" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img250.gif"
 ALT="\includegraphics[width= 6.5in]{imagenes/capitulo2/life2d_swastika.eps}">|; 

$key = q/Sigma^{mathbb{Z}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img42.gif"
 ALT="$ \Sigma^{\mathbb{Z}}$">|; 

$key = q/(1,0,1,1)diamond(0,1,1,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img454.gif"
 ALT="$ (1,0,1,1) \diamond (0,1,1,0)$">|; 

$key = q/n-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img262.gif"
 ALT="$ n-1$">|; 

$key = q/includegraphics[width=6.5in]{imagenesslashcapitulo4slashevolucion_110.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="747" HEIGHT="560" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img368.gif"
 ALT="\includegraphics[width= 6.5in]{imagenes/capitulo4/evolucion_110.eps}">|; 

$key = q/S_{min};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img111.gif"
 ALT="$ S_{min}$">|; 

$key = q/{(x_{i+k_{1}},x_{j+k_{2}},x_{l+k_{3}}):Max{|k_{1}|,|k_{2}|,|k_{3}|}leq1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="339" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img143.gif"
 ALT="$ \{ (x_{i + k_{1}}, x_{j + k_{2}},x_{l + k_{3}}) : Max \{ \vert k_{1}\vert , \vert k_{2}\vert, \vert k_{3}\vert \} \leq 1 \}$">|; 

$key = q/varphi(0,1,0)=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="94" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img87.gif"
 ALT="$ \varphi(0,1,0) = 1$">|; 

$key = q/Sigma={0,1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="76" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img70.gif"
 ALT="$ \Sigma=\{0,1\}$">|; 

$key = q/k^{2r+1}=2^{9}=512;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="124" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img102.gif"
 ALT="$ k^{2r+1}=2^{9}=512$">|; 

$key = q/11011;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img465.gif"
 ALT="$ 11011$">|; 

$key = q/p_{t+2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img292.gif"
 ALT="$ p_{t+2}$">|; 

$key = q/R(4666);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img325.gif"
 ALT="$ R(4666)$">|; 

$key = q/aleqtleqb;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img181.gif"
 ALT="$ a \leq t \leq b$">|; 

$key = q/};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img34.gif"
 ALT="$ \}$">|; 

$key = q/varphi^{-1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img150.gif"
 ALT="$ \varphi^{-1}$">|; 

$key = q/28rightarrow56rightarrow113rightarrow227rightarrow199rightarrow142rightarrow28;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="296" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img480.gif"
 ALT="$ 28 \rightarrow 56 \rightarrow 113 \rightarrow 227 \rightarrow 199 \rightarrow 142 \rightarrow 28$">|; 

$key = q/aleqxleqb;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img180.gif"
 ALT="$ a \leq x \leq b$">|; 

$key = q/xinSigma;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img41.gif"
 ALT="$ x \in \Sigma$">|; 

$key = q/{0,1,2,3};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="73" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img399.gif"
 ALT="$ \{0,1,2,3\}$">|; 

$key = q/varphi(0,0,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img198.gif"
 ALT="$ \varphi(0,0,0)$">|; 

$key = q/k^{2r+1}=2^{2(1)+1}=2^{3}=8;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="177" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img74.gif"
 ALT="$ k^{2r+1}=2^{2(1)+1}=2^{3}=8$">|; 

$key = q/v=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img230.gif"
 ALT="$ v=1$">|; 

$key = q/varphi(1,1,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img204.gif"
 ALT="$ \varphi(1,1,0)$">|; 

$key = q/(0,0,0,0)diamond(0,0,0,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img403.gif"
 ALT="$ (0,0,0,0) \diamond (0,0,0,0)$">|; 

$key = q/Gliders;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img16.gif"
 ALT="$ Gliders$">|; 

$key = q/(0,1,0,1)diamond(1,0,1,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img430.gif"
 ALT="$ (0,1,0,1) \diamond (1,0,1,0)$">|; 

$key = q/(1,0,1,0)diamond(0,1,0,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img452.gif"
 ALT="$ (1,0,1,0) \diamond (0,1,0,1)$">|; 

$key = q/includegraphics[width=5.0in]{imagenesslashapendiceslashproyectoslash6.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="575" HEIGHT="431" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img514.gif"
 ALT="\includegraphics[width= 5.0in]{imagenes/apendice/proyecto/6.eps}">|; 

$key = q/displaystylePhi_{n}(x)=int_{a}^{b}{f(t)K_{n}(x,t)dt,};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="194" HEIGHT="58" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img178.gif"
 ALT="$\displaystyle \Phi_{n}(x) = \int_{a}^{b}{ f(t) K_{n}(x,t)dt, }$">|; 

$key = q/(1,1,1,1)diamond(1,1,1,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img473.gif"
 ALT="$ (1,1,1,1) \diamond (1,1,1,1)$">|; 

$key = q/001;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img408.gif"
 ALT="$ 001$">|; 

$key = q/00011;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img414.gif"
 ALT="$ 00011$">|; 

$key = q/j=ki=2*1=2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="128" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img379.gif"
 ALT="$ j=ki=2*1=2$">|; 

$key = q/11101;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img470.gif"
 ALT="$ 11101$">|; 

$key = q/displaystylep_{t+1}=28p_{t}^{3}q_{t}^{6}+56p_{t}^{3}q_{t}^{6}+56p_{t}^{4}q_{t}^{5}+28p_{t}^{6}q_{t}^{3};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="297" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img298.gif"
 ALT="$\displaystyle p_{t+1}=28p_{t}^{3}q_{t}^{6}+56p_{t}^{3}q_{t}^{6}+56p_{t}^{4}q_{t}^{5}+28p_{t}^{6}q_{t}^{3}$">|; 

$key = q/R(3566);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img328.gif"
 ALT="$ R(3566)$">|; 

$key = q/displaystyleleft({array}{c}82{array}right)=frac{(9-1)!}{2!((9-1)-2)!}=28;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="218" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img273.gif"
 ALT="$\displaystyle \left (\begin{array}{c} 8  2 \end{array} \right ) = \frac{(9-1)!}{2!((9-1)-2)!} = 28$">|; 

$key = q/p_{2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img297.gif"
 ALT="$ p_{2}$">|; 

$key = q/R(5566);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img316.gif"
 ALT="$ R(5566)$">|; 

$key = q/s_{n}(x);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img175.gif"
 ALT="$ s_{n}(x)$">|; 

$key = q/0110;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img370.gif"
 ALT="$ 0110$">|; 

$key = q/includegraphics[width=4.5in]{imagenesslashcapitulo1slashevolucion3d_4555a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="508" HEIGHT="264" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img148.gif"
 ALT="\includegraphics[width= 4.5in]{imagenes/capitulo1/evolucion3d_4555a.eps}">|; 

$key = q/kin;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img99.gif"
 ALT="$ k \in$">|; 

$key = q/2r+1=2(4)+1=9;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="153" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img101.gif"
 ALT="$ 2r+1=2(4)+1=9$">|; 

$key = q/(0,1,0,0)diamond(1,0,0,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img427.gif"
 ALT="$ (0,1,0,0) \diamond (1,0,0,1)$">|; 

$key = q/010;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img468.gif"
 ALT="$ 010$">|; 

$key = q/00101;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img418.gif"
 ALT="$ 00101$">|; 

$key = q/varphi(1,0,0)=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="94" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img84.gif"
 ALT="$ \varphi(1,0,0) = 1$">|; 

$key = q/11110;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img472.gif"
 ALT="$ 11110$">|; 

$key = q/includegraphics[width=4.0in]{imagenesslashcapitulo1slashfrontera_lineal.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="447" HEIGHT="61" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img59.gif"
 ALT="\includegraphics[width= 4.0in]{imagenes/capitulo1/frontera_lineal.eps}">|; 

$key = q/displaystyleM_{i,j}=left[{array}{cccc}1&1&0&00&0&1&11&1&0&00&0&1&1{array}right].;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="180" HEIGHT="92" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img372.gif"
 ALT="$\displaystyle M_{i,j} = \left [\begin{array}{cccc}
1 &amp; 1 &amp; 0 &amp; 0 \\\\
0 &amp; 0 &amp; 1 &amp; 1 \\\\
1 &amp; 1 &amp; 0 &amp; 0 \\\\
0 &amp; 0 &amp; 1 &amp; 1
\end{array} \right ].
$">|; 

$key = q/i=3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img388.gif"
 ALT="$ i=3$">|; 

$key = q/@;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img519.gif"
 ALT="$ @$">|; 

$key = q/displaystyleleft({array}{c}nv{array}right)x^{v}(1-x)^{n-v};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="147" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img189.gif"
 ALT="$\displaystyle \left (\begin{array}{c}
n \\\\
v
\end{array} \right ) x^{v} (1-x)^{n-v}
$">|; 

$key = q/mathcalV=4;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img124.gif"
 ALT="$ \mathcal V=4$">|; 

$key = q/k^{k^{2r+1}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img62.gif"
 ALT="$ k^{k^{2r+1}}$">|; 

$key = q/S_{max}=7;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img338.gif"
 ALT="$ S_{max}=7$">|; 

$key = q/mathbf{x}_{i}inSigma;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img109.gif"
 ALT="$ \mathbf{x}_{i} \in \Sigma$">|; 

$key = q/16times32;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img513.gif"
 ALT="$ 16 \times32$">|; 

$key = q/displaystyleleft({array}{c}31{array}right)x^{1}(1-x)^{3-1}=left(frac{3!}{1!(3-1)!}right)x(1-x)^{2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="323" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img232.gif"
 ALT="$\displaystyle \left (\begin{array}{c}
3 \\\\
1
\end{array} \right ) x^{1} (1-x)^{3-1} = \left( \frac{3!}{1!(3-1)!} \right) x (1-x)^{2}$">|; 

$key = q/varphi(0,0,0)=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="94" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img83.gif"
 ALT="$ \varphi(0,0,0) = 0$">|; 

$key = q/100;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img426.gif"
 ALT="$ 100$">|; 

$key = q/R(2,3,3,3);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img8.gif"
 ALT="$ R(2,3,3,3)$">|; 

$key = q/00110;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img421.gif"
 ALT="$ 00110$">|; 

$key = q/01001;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img428.gif"
 ALT="$ 01001$">|; 

$key = q/displaystylep_{t+1}=28p_{t}^{3}q_{t}^{6}+56p_{t}^{4}q_{t}^{5}+56p_{t}^{3}q_{t}^{6};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="232" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img278.gif"
 ALT="$\displaystyle p_{t+1}=28p_{t}^{3}q_{t}^{6}+56p_{t}^{4}q_{t}^{5}+56p_{t}^{3}q_{t}^{6}$">|; 

$key = q/X;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img160.gif"
 ALT="$ X$">|; 

$key = q/R(4,5,5,5);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img2.gif"
 ALT="$ R(4,5,5,5)$">|; 

$key = q/S_{min}<2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img289.gif"
 ALT="$ S_{min} &lt; 2$">|; 

$key = q/diamond;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img57.gif"
 ALT="$ \diamond$">|; 

$key = q/c_{i+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img493.gif"
 ALT="$ c_{i+1}$">|; 

$key = q/{00,01,10,11};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="105" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img400.gif"
 ALT="$ \{00,01,10,11\}$">|; 

$key = q/left({array}{c}n-1v{array}right);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="80" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img264.gif"
 ALT="$ \left (\begin{array}{c}
n-1 \\\\
v
\end{array} \right )$">|; 

$key = q/ninmathbb{Z};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img80.gif"
 ALT="$ n \in \mathbb{Z}$">|; 

$key = q/(1,0,0,0)diamond(0,0,0,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img442.gif"
 ALT="$ (1,0,0,0) \diamond (0,0,0,0)$">|; 

$key = q/(1,1,0,1)diamond(1,0,1,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img462.gif"
 ALT="$ (1,1,0,1) \diamond (1,0,1,0)$">|; 

$key = q/110{396-402};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="111" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img479.gif"
 ALT="$ 110\{396-402\}$">|; 

$key = q/p;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img161.gif"
 ALT="$ p$">|; 

$key = q/includegraphics[width=4.5in]{imagenesslashcapitulo2slashlife2d_glider.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="510" HEIGHT="93" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img254.gif"
 ALT="\includegraphics[width= 4.5in]{imagenes/capitulo2/life2d_glider.eps}">|; 

$key = q/10001;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img445.gif"
 ALT="$ 10001$">|; 

$key = q/01010;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img431.gif"
 ALT="$ 01010$">|; 

$key = q/j=(2*2)+1=5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="133" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img385.gif"
 ALT="$ j=(2*2)+1=5$">|; 

$key = q/x;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img170.gif"
 ALT="$ x$">|; 

$key = q/R(5755);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img317.gif"
 ALT="$ R(5755)$">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashcapitulo2slashlife2d_glidergun.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="387" HEIGHT="201" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img255.gif"
 ALT="\includegraphics[width= 3.5in]{imagenes/capitulo2/life2d_glidergun.eps}">|; 

$key = q/p+q=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="68" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img209.gif"
 ALT="$ p+q=1$">|; 

$key = q/varphi(1,1,1)rightarrow0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img365.gif"
 ALT="$ \varphi(1,1,1) \rightarrow 0$">|; 

$key = q/n-v=6;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img275.gif"
 ALT="$ n-v=6$">|; 

$key = q/v=4;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img276.gif"
 ALT="$ v=4$">|; 

$key = q/(1,1,0,0)diamond(1,0,0,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img460.gif"
 ALT="$ (1,1,0,0) \diamond (1,0,0,1)$">|; 

$key = q/(0,1,1,0)diamond(1,1,0,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img434.gif"
 ALT="$ (0,1,1,0) \diamond (1,1,0,0)$">|; 

$key = q/mathbb{Z}otimesmathbb{Z};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img95.gif"
 ALT="$ \mathbb{Z} \otimes \mathbb{Z}$">|; 

$key = q/10010;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img447.gif"
 ALT="$ 10010$">|; 

$key = q/01100;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img435.gif"
 ALT="$ 01100$">|; 

$key = q/R(4655);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img319.gif"
 ALT="$ R(4655)$">|; 

$key = q/displaystyles_{n}(x)=frac{1}{pi}int_{-pi}^{+pi}{f(t)left.frac{sin(n+frac{1}{2})(t-x)}{2sinfrac{1}{2}(t-x)}right.dt,};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="296" HEIGHT="58" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img174.gif"
 ALT="$\displaystyle s_{n}(x) = \frac{1}{\pi} \int_{-\pi}^{+\pi}{ f(t) \left. \frac{sin(n+\frac{1}{2})(t-x)}{2 sin \frac{1}{2}(t-x)} \right. dt, }
$">|; 

$key = q/}{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img478.gif"
 ALT="$ \}\{$">|; 

$key = q/displaystyleleft({array}{c}32{array}right)x^{2}(1-x)^{3-2}=left(frac{3!}{2!(3-2)!}right)x^{2}(1-x)^{1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="330" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img237.gif"
 ALT="$\displaystyle \left (\begin{array}{c}
3 \\\\
2
\end{array} \right ) x^{2} (1-x)^{3-2} = \left( \frac{3!}{2!(3-2)!} \right) x^{2} (1-x)^{1}$">|; 

$key = q/|f'(x)|<1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="78" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img286.gif"
 ALT="$ \vert f'(x)\vert&lt;1$">|; 

$key = q/2leqsum_{i=1}^{8}mathbf{x}_{i}leq3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="118" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img249.gif"
 ALT="$ 2 \leq \sum_{i=1}^{8} \mathbf{x}_{i} \leq 3$">|; 

$key = q/HighLife;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="75" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.gif"
 ALT="$ HighLife$">|; 

$key = q/x_{i-r},ldots,x_{i},ldots,x_{i+r};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="155" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img159.gif"
 ALT="$ x_{i-r},\ldots,x_{i},\ldots,x_{i+r}$">|; 

$key = q/iin;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img40.gif"
 ALT="$ i \in$">|; 

$key = q/M_{1,3}=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img382.gif"
 ALT="$ M_{1,3}=1$">|; 

$key = q/x_{0},x_{1},ldots,x_{l-1}=c_{i};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="145" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img67.gif"
 ALT="$ x_{0},x_{1},\ldots,x_{l-1} = c_{i}$">|; 

$key = q/#;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img516.gif"
 ALT="$ \char93 $">|; 

$key = q/k^{2r};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img401.gif"
 ALT="$ k^{2r}$">|; 

$key = q/N_{min};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img110.gif"
 ALT="$ N_{min}$">|; 

$key = q/includegraphics[width=4.4in]{imagenesslashcapitulo2slashblinkers_2336.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="506" HEIGHT="524" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img258.gif"
 ALT="\includegraphics[width= 4.4in]{imagenes/capitulo2/blinkers_2336.eps}">|; 

$key = q/regla;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img13.gif"
 ALT="$ regla$">|; 

$key = q/sigma_{n}=(s_{0}+s_{1}+ldots+s_{n})slash(n+1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="235" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img177.gif"
 ALT="$ \sigma_{n}=(s_{0}+s_{1}+\ldots+s_{n})/(n+1)$">|; 

$key = q/10100;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img451.gif"
 ALT="$ 10100$">|; 

$key = q/includegraphics[width=3.1in]{imagenesslashcapitulo3slashcurva_4555.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="337" HEIGHT="220" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img356.gif"
 ALT="\includegraphics[width= 3.1in]{imagenes/capitulo3/curva_4555.eps}">|; 

$key = q/2^{2^{27}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img141.gif"
 ALT="$ 2^{2^{27}}$">|; 

$key = q/>=;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img521.gif"
 ALT="$ &gt;=$">|; 

$key = q/q=1-p;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="68" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img208.gif"
 ALT="$ q=1-p$">|; 

$key = q/N_{max}=5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img353.gif"
 ALT="$ N_{max}=5$">|; 

$key = q/2r+1=2(1)+1=3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="153" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img73.gif"
 ALT="$ 2r+1=2(1)+1=3$">|; 

$key = q/displaystylep_{3,3};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img241.gif"
 ALT="$\displaystyle p_{3,3}$">|; 

$key = q/(2,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img15.gif"
 ALT="$ (2,1)$">|; 

$key = q/mathbf{x}_{1},ldots,mathbf{x}_{mathcalV}=x_{i-1,j-1,k-1},ldots,x_{i+1,j+1,k+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="305" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img145.gif"
 ALT="$ \mathbf{x}_{1},\ldots,\mathbf{x}_{\mathcal V}=x_{i-1,j-1,k-1},\ldots,x_{i+1,j+1,k+1}$">|; 

$key = q/mathbf{x}_{0}=x_{i,j,k};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="76" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img144.gif"
 ALT="$ \mathbf{x}_{0}=x_{i,j,k}$">|; 

$key = q/(x_{i},y_{i},1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img308.gif"
 ALT="$ (x_{i},y_{i},1)$">|; 

$key = q/2^{32};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img127.gif"
 ALT="$ 2^{32}$">|; 

$key = q/k^{2r}=2^{2}=4;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="92" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img395.gif"
 ALT="$ k^{2r}=2^{2}=4$">|; 

$key = q/11000;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img459.gif"
 ALT="$ 11000$">|; 

$key = q/S;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img121.gif"
 ALT="$ S$">|; 

$key = q/1000101;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img17.gif"
 ALT="$ 1000101$">|; 

$key = q/p_{0};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img295.gif"
 ALT="$ p_{0}$">|; 

$key = q/j=ki=2*2=4;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="128" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img384.gif"
 ALT="$ j=ki=2*2=4$">|; 

$key = q/R(S_{min},S_{max},N_{min},N_{max});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="196" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img119.gif"
 ALT="$ R(S_{min},S_{max},N_{min},N_{max})$">|; 

$key = q/x_{l-1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img58.gif"
 ALT="$ x_{l-1}$">|; 

$key = q/n=2r+1=3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="107" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img220.gif"
 ALT="$ n=2r+1=3$">|; 

$key = q/ngeq1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img283.gif"
 ALT="$ n \geq 1$">|; 

$key = q/M_{0,0}=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img376.gif"
 ALT="$ M_{0,0}=1$">|; 

$key = q/x_{0};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img56.gif"
 ALT="$ x_{0}$">|; 

$key = q/displaystyleM_{i,j}=left{{array}{lllll}1&si&j&=&left{{array}{lll}kiki+1vdots&(mod&k^{2r})ki+k-1{array}right.0&mbox{enotrocaso}{array}right.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="467" HEIGHT="140" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img371.gif"
 ALT="$\displaystyle M_{i,j} = \left\{\begin{array}{lllll} 1&amp;si&amp;j&amp;=&amp; \left\{\begin{arr...
...ki+k-1 \end{array} \right.   0&amp; \mbox{en otro caso}  \end{array} \right.$">|; 

$key = q/c;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img45.gif"
 ALT="$ c$">|; 

$key = q/M_{3,3}=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img392.gif"
 ALT="$ M_{3,3}=1$">|; 

$key = q/2r;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img43.gif"
 ALT="$ 2r$">|; 

$key = q/displaystylep_{t+1}=sum_{v=S_{min}}^{S_{max}}left({array}{c}n-1v{array}right)p_{{min}}^{N_{max}}left({array}{c}n-1v{array}right)p_{t}^{v}q_{t}^{n-v};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="462" HEIGHT="66" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img265.gif"
 ALT="$\displaystyle p_{t+1} = \sum_{v=S_{min}}^{S_{max}} \left (\begin{array}{c} n-1 ...
...x}} \left (\begin{array}{c} n-1  v \end{array} \right ) p_{t}^{v} q_{t}^{n-v}$">|; 

$key = q/includegraphics[width=2.5in]{imagenesslashcapitulo5slash2dsm_2433.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="288" HEIGHT="298" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img496.gif"
 ALT="\includegraphics[width= 2.5in]{imagenes/capitulo5/2dsm_2433.eps}">|; 

$key = q/(1,1,1,0)diamond(1,1,0,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img466.gif"
 ALT="$ (1,1,1,0) \diamond (1,1,0,0)$">|; 

$key = q/k;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img28.gif"
 ALT="$ k$">|; 

$key = q/x_{i,j,k}inSigma;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img137.gif"
 ALT="$ x_{i,j,k} \in \Sigma$">|; 

$key = q/displaystyleq^{3}.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img229.gif"
 ALT="$\displaystyle q^{3}.$">|; 

$key = q/00000;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img404.gif"
 ALT="$ 00000$">|; 

$key = q/mathbf{x}_{1}=x_{i-1,j};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img128.gif"
 ALT="$ \mathbf{x}_{1}=x_{i-1,j}$">|; 

$key = q/mathbf{x}_{0}=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img114.gif"
 ALT="$ \mathbf{x}_{0}=0$">|; 

$key = q/includegraphics[width=4.1in]{imagenesslashcapitulo1slashclases?_kr.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="466" HEIGHT="738" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img157.gif"
 ALT="\includegraphics[width= 4.1in]{imagenes/capitulo1/clases?_kr.eps}">|; 

$key = q/includegraphics[width=2.1in]{imagenesslashcapitulo1slashvecindad_kr.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="227" HEIGHT="68" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img30.gif"
 ALT="\includegraphics[width= 2.1in]{imagenes/capitulo1/vecindad_kr.eps}">|; 

$key = q/displaystylex_{0},x_{1},ldots,x_{l-1}=Phi(x_{0},x_{1},ldots,x_{l-1});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="265" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img66.gif"
 ALT="$\displaystyle x_{0},x_{1},\ldots,x_{l-1} = \Phi(x_{0},x_{1},\ldots,x_{l-1})$">|; 

$key = q/{;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img31.gif"
 ALT="$ \{$">|; 

$key = q/displaystylep_{t+1}=65780p_{t}^{6}q_{t}^{21}+657800p_{t}^{8}q_{t}^{19}+230230p_{t}^{6}q_{t}^{21};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="338" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img340.gif"
 ALT="$\displaystyle p_{t+1}=65780p_{t}^{6}q_{t}^{21}+657800p_{t}^{8}q_{t}^{19}+230230p_{t}^{6}q_{t}^{21}$">|; 

$key = q/n=3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img224.gif"
 ALT="$ n=3$">|; 

$key = q/displaystylep_{1,3};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img231.gif"
 ALT="$\displaystyle p_{1,3}$">|; 

$key = q/n-v=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img491.gif"
 ALT="$ n-v=1$">|; 

$key = q/S_{min}=4;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img350.gif"
 ALT="$ S_{min}=4$">|; 

$key = q/r=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img71.gif"
 ALT="$ r=1$">|; 

$key = q/Life;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.gif"
 ALT="$ Life$">|; 

$key = q/displaystyleK_{n}(x,0)=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="92" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img187.gif"
 ALT="$\displaystyle K_{n}(x,0) = 0$">|; 

$key = q/displaystyle2p_{t}(1-p_{t})^{2}+3p_{t}^{2}(1-p_{t});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="182" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img218.gif"
 ALT="$\displaystyle 2p_{t}(1-p_{t})^{2}+3p_{t}^{2}(1-p_{t})$">|; 

$key = q/R(5877);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img324.gif"
 ALT="$ R(5877)$">|; 

$key = q/mathcalC(Sigma);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img46.gif"
 ALT="$ \mathcal C(\Sigma)$">|; 

$key = q/M_{2,0}=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img386.gif"
 ALT="$ M_{2,0}=1$">|; 

$key = q/p_{n,v}(x);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img194.gif"
 ALT="$ p_{n,v}(x)$">|; 

$key = q/&;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img515.gif"
 ALT="$ \&amp;$">|; 

$key = q/Sigmainmathbb{Z}^{+};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="56" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img25.gif"
 ALT="$ \Sigma \in \mathbb{Z}^{+}$">|; 

$key = q/(0,0,1,1)diamond(0,1,1,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img422.gif"
 ALT="$ (0,0,1,1) \diamond (0,1,1,1)$">|; 

$key = q/Sigma^{3}={000,001,010,011,100,101,110,111};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="300" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img90.gif"
 ALT="$ \Sigma^{3}=\{000,001,010,011,100,101,110,111\}$">|; 

$key = q/mathcalC_{F}(Sigma)subsetmathcalC(Sigma);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="101" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img50.gif"
 ALT="$ \mathcal C_{F}(\Sigma) \subset \mathcal C(\Sigma)$">|; 

$key = q/mathbf{x}_{3}=x_{i,j+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img130.gif"
 ALT="$ \mathbf{x}_{3}=x_{i,j+1}$">|; 

$key = q/R(2,3,3,6);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.gif"
 ALT="$ R(2,3,3,6)$">|; 

$key = q/i=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img378.gif"
 ALT="$ i=1$">|; 

$key = q/displaystyleB_{n}(x)=B_{n}^{f}(x)=sum_{v=0}^{n}fleft(frac{v}{n}right)left({array}{c}nv{array}right)x^{v}(1-x)^{n-v};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="347" HEIGHT="60" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img168.gif"
 ALT="$\displaystyle B_{n}(x) = B_{n}^{f} (x) = \sum_{v=0}^{n} f \left( \frac{v}{n} \right) \left (\begin{array}{c} n  v \end{array} \right ) x^{v} (1-x)^{n-v}$">|; 

$key = q/Sigma={0,1,ldots,k-1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img37.gif"
 ALT="$ \Sigma = \{0,1,\ldots,k-1\}$">|; 

$key = q/mathcalC_{F}(Sigma);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img48.gif"
 ALT="$ \mathcal C_{F}(\Sigma)$">|; 

$key = q/>;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img518.gif"
 ALT="$ &gt;$">|; 

$key = q/includegraphics[width=4.0in]{imagenesslashcapitulo2slashcurva_highlife.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="443" HEIGHT="438" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img300.gif"
 ALT="\includegraphics[width= 4.0in]{imagenes/capitulo2/curva_highlife.eps}">|; 

$key = q/x_{i}inSigma;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img26.gif"
 ALT="$ x_{i} \in \Sigma$">|; 

$key = q/S_{max}=5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img351.gif"
 ALT="$ S_{max}=5$">|; 

$key = q/R(2+2,3+2,3+2,3+2);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="191" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img349.gif"
 ALT="$ R(2+2,3+2,3+2,3+2)$">|; 

$key = q/ninmathbb{Z}^{+};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img284.gif"
 ALT="$ n \in \mathbb{Z}^{+}$">|; 

$key = q/rightarrow;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img511.gif"
 ALT="$ \rightarrow$">|; 

$key = q/k^{2(3)+1}=128;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img476.gif"
 ALT="$ k^{2(3)+1}=128$">|; 

$key = q/N;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img120.gif"
 ALT="$ N$">|; 

$key = q/includegraphics[width=4.0in]{imagenesslashcapitulo4slashcurva_110.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="441" HEIGHT="438" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img492.gif"
 ALT="\includegraphics[width= 4.0in]{imagenes/capitulo4/curva_110.eps}">|; 

$key = q/displaystylep_{t+1}=sum_{v=S_{min}}^{S_{max}}left({array}{c}n-1v{array}right)p_{}}^{N_{max}}left({array}{c}n-1v{array}right)p_{t}^{v}(1-p_{t})^{n-v};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="553" HEIGHT="66" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img261.gif"
 ALT="$\displaystyle p_{t+1} = \sum_{v=S_{min}}^{S_{max}} \left (\begin{array}{c} n-1 ...
...\left (\begin{array}{c} n-1  v \end{array} \right ) p_{t}^{v} (1-p_{t})^{n-v}$">|; 

$key = q/includegraphics[width=6.3in]{imagenesslashcapitulo3slashcurva_4555a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="706" HEIGHT="454" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img357.gif"
 ALT="\includegraphics[width= 6.3in]{imagenes/capitulo3/curva_4555a.eps}">|; 

$key = q/n-v=27-6=21;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="143" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img343.gif"
 ALT="$ n-v=27-6=21$">|; 

$key = q/displaystyleleft({array}{c}33{array}right)x^{3}(1-x)^{3-3}=left(frac{3!}{3!(3-3)!}right)x^{3}(1-x)^{0};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="330" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img242.gif"
 ALT="$\displaystyle \left (\begin{array}{c}
3 \\\\
3
\end{array} \right ) x^{3} (1-x)^{3-3} = \left( \frac{3!}{3!(3-3)!} \right) x^{3} (1-x)^{0}$">|; 

$key = q/mathbb{Z};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img20.gif"
 ALT="$ \mathbb{Z}$">|; 

$key = q/c_{i}=x_{0},x_{1},ldots,x_{l-1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="145" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img54.gif"
 ALT="$ c_{i}=x_{0},x_{1},\ldots,x_{l-1}$">|; 

$key = q/displaystyleB_{n}(x)=int_{0}^{1}{f(t)d_{t}K_{n}(x,t),};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="196" HEIGHT="57" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img184.gif"
 ALT="$\displaystyle B_{n}(x) = \int_{0}^{1}{ f(t) d_{t} K_{n}(x,t), }$">|; 

$key = q/[0,1];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img167.gif"
 ALT="$ [0,1]$">|; 

$key = q/f;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img281.gif"
 ALT="$ f$">|; 

$key = q/dagger;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img477.gif"
 ALT="$ \dagger$">|; 

$key = q/tau;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img93.gif"
 ALT="$ \tau$">|; 

$key = q/n;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img78.gif"
 ALT="$ n$">|; 

$key = q/includegraphics[width=6.5in]{imagenesslashapendiceslashosxslashsv-osx.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="747" HEIGHT="561" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img503.gif"
 ALT="\includegraphics[width= 6.5in]{imagenes/apendice/osx/sv-osx.eps}">|; 

$key = q/v;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img163.gif"
 ALT="$ v$">|; 

$key = q/(k=2,r=1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img196.gif"
 ALT="$ (k=2,r=1)$">|; 

$key = q/<=;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img523.gif"
 ALT="$ &lt;=$">|; 

$key = q/R(5767);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img314.gif"
 ALT="$ R(5767)$">|; 

$key = q/includegraphics[width=4.0in]{imagenesslashcapitulo2slashcurva_life.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="443" HEIGHT="442" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img291.gif"
 ALT="\includegraphics[width= 4.0in]{imagenes/capitulo2/curva_life.eps}">|; 

$key = q/nrightarrowinfty;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img183.gif"
 ALT="$ n \rightarrow \infty$">|; 

$key = q/r=4;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img100.gif"
 ALT="$ r=4$">|; 

$key = q/v=2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img235.gif"
 ALT="$ v=2$">|; 

$key = q/z=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img312.gif"
 ALT="$ z = 0$">|; 

$key = q/(0,0,0,1)diamond(0,0,1,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img410.gif"
 ALT="$ (0,0,0,1) \diamond (0,0,1,0)$">|; 

$key = q/(1,0,1,1)diamond(0,1,1,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img456.gif"
 ALT="$ (1,0,1,1) \diamond (0,1,1,1)$">|; 

$key = q/leqn;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img171.gif"
 ALT="$ \leq n$">|; 

$key = q/t=vslashn;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="57" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img190.gif"
 ALT="$ t=v/n$">|; 

$key = q/mathbf{x}_{4}=x_{i+1,j};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img131.gif"
 ALT="$ \mathbf{x}_{4}=x_{i+1,j}$">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashcapitulo1slashclases_Wolfram.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="382" HEIGHT="282" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img149.gif"
 ALT="\includegraphics[width= 3.5in]{imagenes/capitulo1/clases_Wolfram.eps}">|; 

$key = q/j=(2*3)+1=7;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="133" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img390.gif"
 ALT="$ j=(2*3)+1=7$">|; 

$key = q/j=ki=2*3=6;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="128" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img389.gif"
 ALT="$ j=ki=2*3=6$">|; 

$key = q/mathbf{x}_{1},ldots,mathbf{x}_{mathcalV}=x_{i-1,j-1},ldots,x_{i+1,j+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="251" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img108.gif"
 ALT="$ \mathbf{x}_{1},\ldots,\mathbf{x}_{\mathcal V}=x_{i-1,j-1},\ldots,x_{i+1,j+1}$">|; 

$key = q/k^{k^{2r+1}}=2^{512};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="95" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img103.gif"
 ALT="$ k^{k^{2r+1}}=2^{512}$">|; 

$key = q/2r+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img1.gif"
 ALT="$ 2r+1$">|; 

$key = q/varphi(0,0,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img199.gif"
 ALT="$ \varphi(0,0,1)$">|; 

$key = q/(4,t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img3.gif"
 ALT="$ (4,t)$">|; 

$key = q/varphi(1,1,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img205.gif"
 ALT="$ \varphi(1,1,1)$">|; 

$key = q/(0,0,0,0)diamond(0,0,0,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img406.gif"
 ALT="$ (0,0,0,0) \diamond (0,0,0,1)$">|; 

$key = q/E_{n-1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img487.gif"
 ALT="$ E_{n-1}$">|; 

$key = q/(0,1,0,1)diamond(1,0,1,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img432.gif"
 ALT="$ (0,1,0,1) \diamond (1,0,1,1)$">|; 

$key = q/tinmathbb{Z};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img52.gif"
 ALT="$ t \in \mathbb{Z}$">|; 

$key = q/includegraphics[width=5.0in]{imagenesslashcapitulo1slashac1d_reversible.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="564" HEIGHT="240" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img151.gif"
 ALT="\includegraphics[width= 5.0in]{imagenes/capitulo1/ac1d_reversible.eps}">|; 

$key = q/includegraphics[width=6.5in]{imagenesslashapendiceslashopenslashv-open.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="747" HEIGHT="598" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img505.gif"
 ALT="\includegraphics[width= 6.5in]{imagenes/apendice/open/v-open.eps}">|; 

$key = q/M_{i,j}=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="64" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img393.gif"
 ALT="$ M_{i,j}=0$">|; 

$key = q/1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img409.gif"
 ALT="$ 1$">|; 

$key = q/80leqt_{i}leq100;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="97" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img305.gif"
 ALT="$ 80 \leq t_{i} \leq 100$">|; 

$key = q/011;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img412.gif"
 ALT="$ 011$">|; 

$key = q/includegraphics[width=4.0in]{imagenesslashcapitulo2slashcurva_highlife2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="443" HEIGHT="439" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img301.gif"
 ALT="\includegraphics[width= 4.0in]{imagenes/capitulo2/curva_highlife2.eps}">|; 

$key = q/includegraphics[width=2.8in]{imagenesslashcapitulo1slashevolucion21_124.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="315" HEIGHT="278" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img82.gif"
 ALT="\includegraphics[width= 2.8in]{imagenes/capitulo1/evolucion21_124.eps}">|; 

$key = q/11111;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img474.gif"
 ALT="$ 11111$">|; 

$key = q/x_{i};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img22.gif"
 ALT="$ x_{i}$">|; 

$key = q/(k,r);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img27.gif"
 ALT="$ (k,r)$">|; 

$key = q/N_{max}=3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img246.gif"
 ALT="$ N_{max}=3$">|; 

$key = q/h=1slash2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img153.gif"
 ALT="$ h=1/2$">|; 

$key = q/includegraphics[width=4.0in]{imagenesslashapendiceslashproyectoslash3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="345" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img509.gif"
 ALT="\includegraphics[width= 4.0in]{imagenes/apendice/proyecto/3.eps}">|; 

$key = q/displaystyle+(1)p_{t}^{2}(1-p_{t})^{1}+(0)p_{t}^{1}(1-p_{t})^{2}+(1)p_{t}^{2}(1-p_{t})^{1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="343" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img216.gif"
 ALT="$\displaystyle + (1)p_{t}^{2}(1-p_{t})^{1} + (0)p_{t}^{1}(1-p_{t})^{2} + (1)p_{t}^{2}(1-p_{t})^{1}$">|; 

$key = q/includegraphics[width=2.5in]{imagenesslashcapitulo5slash2dsv_2224.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="288" HEIGHT="298" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img501.gif"
 ALT="\includegraphics[width= 2.5in]{imagenes/capitulo5/2dsv_2224.eps}">|; 

$key = q/displaystyleleft(frac{3!}{0!}right)x^{3}=x^{3};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="100" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img243.gif"
 ALT="$\displaystyle \left( \frac{3!}{0!} \right) x^{3} = x^{3}$">|; 

$key = q/101;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img429.gif"
 ALT="$ 101$">|; 

$key = q/includegraphics[width=6.2in]{imagenesslashcapitulo3slashevolcion3d_5766.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="704" HEIGHT="692" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img329.gif"
 ALT="\includegraphics[width= 6.2in]{imagenes/capitulo3/evolcion3d_5766.eps}">|; 

$key = q/includegraphics[width=2.5in]{imagenesslashcapitulo1slashvecindades_NM.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="279" HEIGHT="119" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img94.gif"
 ALT="\includegraphics[width= 2.5in]{imagenes/capitulo1/vecindades_NM.eps}">|; 

$key = q/00111;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img423.gif"
 ALT="$ 00111$">|; 

$key = q/mathbf{x}_{2}=x_{i,j-1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img129.gif"
 ALT="$ \mathbf{x}_{2}=x_{i,j-1}$">|; 

$key = q/displaystylevarphi({mathbf{x}_{0}},{mathbf{x}_{1}},ldots,{mathbf{x}_{26}})=left{sum}}{mathbf{x}_{i}}leq7{array}right.0&mbox{enotrocaso}{array}right.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="465" HEIGHT="152" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img330.gif"
 ALT="$\displaystyle \varphi({\mathbf{x}_{0}},{\mathbf{x}_{1}},\ldots,{\mathbf{x}_{26}...
...}} \leq 7 \end{array} \right.   0 &amp; \mbox{en otro caso} \end{array} \right.$">|; 

$key = q/x_{i,j}inmathbb{Z}otimesmathbb{Z};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="88" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img96.gif"
 ALT="$ x_{i,j} \in \mathbb{Z} \otimes \mathbb{Z}$">|; 

$key = q/includegraphics[width=2.5in]{imagenesslashcapitulo2slashconfig_life.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="278" HEIGHT="278" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img260.gif"
 ALT="\includegraphics[width= 2.5in]{imagenes/capitulo2/config_life.eps}">|; 

$key = q/n=2r+1=mathcalV;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="110" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img269.gif"
 ALT="$ n=2r+1=\mathcal V$">|; 

$key = q/1-p_{t};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img263.gif"
 ALT="$ 1-p_{t}$">|; 

$key = q/R(6766);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img322.gif"
 ALT="$ R(6766)$">|; 

$key = q/R(2+2,3+2,3+2,3+2)=R(4,5,5,5);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="290" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img336.gif"
 ALT="$ R(2+2,3+2,3+2,3+2)=R(4,5,5,5)$">|; 

$key = q/displaystylep_{t+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img213.gif"
 ALT="$\displaystyle p_{t+1}$">|; 

$key = q/k^{2r+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img61.gif"
 ALT="$ k^{2r+1}$">|; 

$key = q/{displaymath}{array}{lll}p_{t+2}&=&84(84p_{t+1}^{3}(1-p_{t+1})^{6}+56p_{t+1}^{4}-p_{t+1})^{6}+56p_{t+1}^{4}(1-p_{t+1})^{5}))^{5}{array}{displaymath};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="710" HEIGHT="45" BORDER="0"
 SRC="|."$dir".q|img293.gif"
 ALT="\begin{displaymath}
\begin{array}{lll}
p_{t+2} &amp; = &amp; 84(84p_{t+1}^{3}(1-p_{t+1})...
...1-p_{t+1})^{6}+56p_{t+1}^{4}(1-p_{t+1})^{5}))^{5}
\end{array}
\end{displaymath}">|; 

$key = q/varphi(0,1,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img200.gif"
 ALT="$ \varphi(0,1,0)$">|; 

$key = q/Sigma^{2r+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img44.gif"
 ALT="$ \Sigma^{2r+1}$">|; 

$key = q/includegraphics[width=4.5in]{imagenesslashcapitulo3slashexpansiones3d_life.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="501" HEIGHT="188" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img310.gif"
 ALT="\includegraphics[width= 4.5in]{imagenes/capitulo3/expansiones3d_life.eps}">|; 

$key = q/(1,0,0,1)diamond(0,0,1,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img446.gif"
 ALT="$ (1,0,0,1) \diamond (0,0,1,0)$">|; 

$key = q/k^{2r+1}=2^{3}=8;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="108" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img197.gif"
 ALT="$ k^{2r+1}=2^{3}=8$">|; 

$key = q/q;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img207.gif"
 ALT="$ q$">|; 

$key = q/R(2,2,2,4);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img19.gif"
 ALT="$ R(2,2,2,4)$">|; 

$key = q/110;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img14.gif"
 ALT="$ 110$">|; 

$key = q/01011;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img433.gif"
 ALT="$ 01011$">|; 

$key = q/displaystylep_{t+1}=2p_{t}q_{t}^{2}+3p_{t}^{2}q_{t}.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="151" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img489.gif"
 ALT="$\displaystyle p_{t+1}=2p_{t}q_{t}^{2}+3p_{t}^{2}q_{t}.$">|; 

$key = q/includegraphics[width=5.0in]{imagenesslashcapitulo1slashespacio_2d.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="575" HEIGHT="453" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img132.gif"
 ALT="\includegraphics[width= 5.0in]{imagenes/capitulo1/espacio_2d.eps}">|; 

$key = q/y;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img335.gif"
 ALT="$ y$">|; 

$key = q/N_{min}=5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img352.gif"
 ALT="$ N_{min}=5$">|; 

$key = q/S_{min}=2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.gif"
 ALT="$ S_{min}=2$">|; 

$key = q/includegraphics[width=6.0in]{imagenesslashcapitulo1slashevolucion3d_4555.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="675" HEIGHT="679" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img147.gif"
 ALT="\includegraphics[width= 6.0in]{imagenes/capitulo1/evolucion3d_4555.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashcapitulo3slashblock3d_5766.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="395" HEIGHT="332" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img313.gif"
 ALT="\includegraphics[width= 3.5in]{imagenes/capitulo3/block3d_5766.eps}">|; 

$key = q/iinmathbb{Z};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img23.gif"
 ALT="$ i \in \mathbb{Z}$">|; 

$key = q/c_{i+2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img494.gif"
 ALT="$ c_{i+2}$">|; 

$key = q/f'(x)=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img288.gif"
 ALT="$ f'(x)=0$">|; 

$key = q/displaystyle=;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img214.gif"
 ALT="$\displaystyle =$">|; 

$key = q/x_{i,j,k};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img135.gif"
 ALT="$ x_{i,j,k}$">|; 

$key = q/includegraphics[width=5.2in]{imagenesslashcapitulo1slashespacio2d_2333.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="598" HEIGHT="470" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img133.gif"
 ALT="\includegraphics[width= 5.2in]{imagenes/capitulo1/espacio2d_2333.eps}">|; 

$key = q/displaystylelim_{xrightarrowinfty}B_{n}(x)=f(x);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="134" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img173.gif"
 ALT="$\displaystyle \lim_{x\rightarrow \infty} B_{n}(x) = f(x)$">|; 

$key = q/(0,0,1,0)diamond(0,1,0,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img415.gif"
 ALT="$ (0,0,1,0) \diamond (0,1,0,0)$">|; 

$key = q/(1,0,0,0)diamond(0,0,0,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img444.gif"
 ALT="$ (1,0,0,0) \diamond (0,0,0,1)$">|; 

$key = q/includegraphics[width=6.5in]{imagenesslashapendiceslashwindowsslashsm-windows.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="747" HEIGHT="561" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img504.gif"
 ALT="\includegraphics[width= 6.5in]{imagenes/apendice/windows/sm-windows.eps}">|; 

$key = q/(0,1,1,1)diamond(1,1,1,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img438.gif"
 ALT="$ (0,1,1,1) \diamond (1,1,1,0)$">|; 

$key = q/(1,1,0,1)diamond(1,0,1,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img464.gif"
 ALT="$ (1,1,0,1) \diamond (1,0,1,1)$">|; 

$key = q/varphi(1,0,1)=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="94" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img86.gif"
 ALT="$ \varphi(1,0,1) = 1$">|; 

$key = q/01101;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img437.gif"
 ALT="$ 01101$">|; 

$key = q/10011;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img449.gif"
 ALT="$ 10011$">|; 

$key = q/R(4566);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img326.gif"
 ALT="$ R(4566)$">|; 

$key = q/displaystylep_{t+1}=80730p_{t}^{5}q_{t}^{22}+65780p_{t}^{6}q_{t}^{21}.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="231" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img355.gif"
 ALT="$\displaystyle p_{t+1}=80730p_{t}^{5}q_{t}^{22}+65780p_{t}^{6}q_{t}^{21}.$">|; 

$key = q/z^{-};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img333.gif"
 ALT="$ z^{-}$">|; 

$key = q/includegraphics[width=2.5in]{imagenesslashcapitulo4slashdeBruijn_generico.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="259" HEIGHT="246" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img394.gif"
 ALT="\includegraphics[width= 2.5in]{imagenes/capitulo4/deBruijn_generico.eps}">|; 

$key = q/varphi(1,0,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img202.gif"
 ALT="$ \varphi(1,0,0)$">|; 

$key = q/E_{n+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img486.gif"
 ALT="$ E_{n+1}$">|; 

$key = q/(0,1,1,0)diamond(1,1,0,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img436.gif"
 ALT="$ (0,1,1,0) \diamond (1,1,0,1)$">|; 

$key = q/includegraphics[width=5.0in]{imagenesslashcapitulo2slashlife2d_beehive.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="566" HEIGHT="98" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img251.gif"
 ALT="\includegraphics[width= 5.0in]{imagenes/capitulo2/life2d_beehive.eps}">|; 

$key = q/j=(2*0)+1=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="133" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img375.gif"
 ALT="$ j=(2*0)+1=1$">|; 

$key = q/S_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img113.gif"
 ALT="$ S_{max}$">|; 

$key = q/varphi(0,0,1)=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="94" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img85.gif"
 ALT="$ \varphi(0,0,1) = 0$">|; 

$key = q/01110;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img439.gif"
 ALT="$ 01110$">|; 

$key = q/10101;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img453.gif"
 ALT="$ 10101$">|; 

$key = q/displaystyle2p_{t}q_{t}^{2}+3p_{t}^{2}q_{t};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="96" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img219.gif"
 ALT="$\displaystyle 2p_{t}q_{t}^{2}+3p_{t}^{2}q_{t}$">|; 

$key = q/displaystylep_{v}=p_{n,v}(x)=left({array}{c}nv{array}right)x^{v}(1-x)^{n-v};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="253" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img191.gif"
 ALT="$\displaystyle p_{v} = p_{n,v}(x) = \left (\begin{array}{c} n  v \end{array} \right ) x^{v} (1-x)^{n-v}$">|; 

$key = q/R(4656);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img318.gif"
 ALT="$ R(4656)$">|; 

$key = q/k=2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img69.gif"
 ALT="$ k=2$">|; 

$key = q/<;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img517.gif"
 ALT="$ &lt;$">|; 

$key = q/includegraphics[width=6.5in]{imagenesslashapendiceslashosxsslashm-osxs.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="747" HEIGHT="561" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img506.gif"
 ALT="\includegraphics[width= 6.5in]{imagenes/apendice/osxs/m-osxs.eps}">|; 

$key = q/3leqsum_{i=1}^{8}mathbf{x}_{i}leq3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="118" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img248.gif"
 ALT="$ 3 \leq \sum_{i=1}^{8} \mathbf{x}_{i} \leq 3$">|; 

$key = q/varphi(1,0,0)rightarrow0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img359.gif"
 ALT="$ \varphi(1,0,0) \rightarrow 0$">|; 

$key = q/displaystyle(0)p_{t}^{0}(1-p_{t})^{3}+(1)p_{t}^{1}(1-p_{t})^{2}+(1)p_{t}^{1}(1-p_{t})^{2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="331" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img215.gif"
 ALT="$\displaystyle (0)p_{t}^{0}(1-p_{t})^{3} + (1)p_{t}^{1}(1-p_{t})^{2} + (1)p_{t}^{1}(1-p_{t})^{2}$">|; 

$key = q/N_{max}=6;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img259.gif"
 ALT="$ N_{max}=6$">|; 

$key = q/forall;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img39.gif"
 ALT="$ \forall$">|; 

$key = q/S_{max}=3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img10.gif"
 ALT="$ S_{max}=3$">|; 

$key = q/2^{512};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img498.gif"
 ALT="$ 2^{512}$">|; 

$key = q/displaystylep_{t+1}=84p_{t}^{3}q_{t}^{6}+56p_{t}^{4}q_{t}^{5}+28p_{t}^{6}q_{t}^{3}.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="236" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img299.gif"
 ALT="$\displaystyle p_{t+1}=84p_{t}^{3}q_{t}^{6}+56p_{t}^{4}q_{t}^{5}+28p_{t}^{6}q_{t}^{3}.$">|; 

$key = q/mathcalV=8;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img105.gif"
 ALT="$ \mathcal V=8$">|; 

$key = q/x=p;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img222.gif"
 ALT="$ x=p$">|; 

$key = q/3times3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img253.gif"
 ALT="$ 3 \times 3$">|; 

$key = q/x_{i,j};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img122.gif"
 ALT="$ x_{i,j}$">|; 

$key = q/|Sigma|=k;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img35.gif"
 ALT="$ \vert\Sigma\vert = k$">|; 

$key = q/displaystyleleft(frac{3!}{2!}right)x^{2}(1-x)=3x^{2}(1-x);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="206" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img238.gif"
 ALT="$\displaystyle \left( \frac{3!}{2!} \right) x^{2} (1-x) = 3x^{2} (1-x)$">|; 

$key = q/varphi(1,1,0)=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="94" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img88.gif"
 ALT="$ \varphi(1,1,0) = 1$">|; 

$key = q/10110;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img455.gif"
 ALT="$ 10110$">|; 

$key = q/11001;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img461.gif"
 ALT="$ 11001$">|; 

$key = q/mathcalV=26;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img138.gif"
 ALT="$ \mathcal V=26$">|; 

$key = q/displaystylex_{i}=varphi(x_{i-r},ldots,x_{i},ldots,x_{i+r});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="214" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img63.gif"
 ALT="$\displaystyle x_{i} = \varphi(x_{i-r},\ldots,x_{i},\ldots,x_{i+r})$">|; 

$key = q/includegraphics[width=6.0in]{imagenesslashcapitulo4slashcurva_110a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="671" HEIGHT="666" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img495.gif"
 ALT="\includegraphics[width= 6.0in]{imagenes/capitulo4/curva_110a.eps}">|; 

$key = q/(2,2);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img499.gif"
 ALT="$ (2,2)$">|; 

$key = q/(5,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.gif"
 ALT="$ (5,1)$">|; 

$key = q/(1,0,1,0)diamond(0,1,0,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img450.gif"
 ALT="$ (1,0,1,0) \diamond (0,1,0,0)$">|; 

$key = q/l;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="9" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img53.gif"
 ALT="$ l$">|; 

$key = q/c_{i}^{t};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img76.gif"
 ALT="$ c_{i}^{t}$">|; 

$key = q/(1,1,1,1)diamond(1,1,1,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img471.gif"
 ALT="$ (1,1,1,1) \diamond (1,1,1,0)$">|; 

$key = q/00001;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img407.gif"
 ALT="$ 00001$">|; 

$key = q/varphi(X);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img210.gif"
 ALT="$ \varphi(X)$">|; 

$key = q/R(2,4,3,3);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.gif"
 ALT="$ R(2,4,3,3)$">|; 

$key = q/11010;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img463.gif"
 ALT="$ 11010$">|; 

$key = q/t;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="10" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img51.gif"
 ALT="$ t$">|; 

$key = q/(x_{i},y_{i},z_{i});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img311.gif"
 ALT="$ (x_{i},y_{i},z_{i})$">|; 

$key = q/mathbf{x}_{0}=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img115.gif"
 ALT="$ \mathbf{x}_{0}=1$">|; 

$key = q/p_{1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img296.gif"
 ALT="$ p_{1}$">|; 

$key = q/displaystyleleft({array}{c}n-1v{array}right)=frac{(n-1)!}{v!((n-1)-v)!};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="212" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img268.gif"
 ALT="$\displaystyle \left (\begin{array}{c} n-1  v \end{array} \right ) = \frac{(n-1)!}{v!((n-1)-v)!}$">|; 

$key = q/displaystyleleft({array}{c}83{array}right)=frac{(9-1)!}{3!((9-1)-3)!}=56;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="218" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img274.gif"
 ALT="$\displaystyle \left (\begin{array}{c} 8  3 \end{array} \right ) = \frac{(9-1)!}{3!((9-1)-3)!} = 56$">|; 

$key = q/R(5,7,6,6);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img12.gif"
 ALT="$ R(5,7,6,6)$">|; 

$key = q/varphi(0,1,1)rightarrow1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img364.gif"
 ALT="$ \varphi(0,1,1) \rightarrow 1$">|; 

$key = q/S_{min}=5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img337.gif"
 ALT="$ S_{min}=5$">|; 

$key = q/n-v=2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img490.gif"
 ALT="$ n-v=2$">|; 

$key = q/r=2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img125.gif"
 ALT="$ r=2$">|; 

$key = q/includegraphics[width=1.5in]{imagenesslashcapitulo1slashvecindad3d_M.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="165" HEIGHT="160" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img139.gif"
 ALT="\includegraphics[width= 1.5in]{imagenes/capitulo1/vecindad3d_M.eps}">|; 

$key = q/v=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img225.gif"
 ALT="$ v=0$">|; 

$key = q/linmathbb{Z}^{+};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img55.gif"
 ALT="$ l \in \mathbb{Z}^{+}$">|; 

$key = q/1-x=q;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="70" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img223.gif"
 ALT="$ 1-x=q$">|; 

$key = q/f(x)=x;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img285.gif"
 ALT="$ f(x)=x$">|; 

$key = q/displaystylevarphi({mathbf{x}_{0}},{mathbf{x}_{1}},ldots,{mathbf{x}_{mathcalV}})mathbf{x}_{i}}leqS_{max}{array}right.0&mbox{enotrocaso}{array}right.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="522" HEIGHT="152" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img123.gif"
 ALT="$\displaystyle \varphi({\mathbf{x}_{0}},{\mathbf{x}_{1}},\ldots,{\mathbf{x}_{\ma...
...q S_{max} \end{array} \right.   0 &amp; \mbox{en otro caso} \end{array} \right.$">|; 

$key = q/(0,1,0,0)diamond(1,0,0,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img424.gif"
 ALT="$ (0,1,0,0) \diamond (1,0,0,0)$">|; 

$key = q/v=8;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img344.gif"
 ALT="$ v=8$">|; 

$key = q/(1,1,1,0)diamond(1,1,0,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img469.gif"
 ALT="$ (1,1,1,0) \diamond (1,1,0,1)$">|; 

$key = q/includegraphics[width=5.7in]{imagenesslashcapitulo2slashconfig_life2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="647" HEIGHT="227" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img267.gif"
 ALT="\includegraphics[width= 5.7in]{imagenes/capitulo2/config_life2.eps}">|; 

$key = q/000;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img405.gif"
 ALT="$ 000$">|; 

$key = q/00010;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img411.gif"
 ALT="$ 00010$">|; 

$key = q/11100;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img467.gif"
 ALT="$ 11100$">|; 

$key = q/displaystylep_{t+1}=84p_{t}^{3}q_{t}^{6}+56p_{t}^{4}q_{t}^{5};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="166" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img279.gif"
 ALT="$\displaystyle p_{t+1}=84p_{t}^{3}q_{t}^{6}+56p_{t}^{4}q_{t}^{5}$">|; 

$key = q/R(5655);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img323.gif"
 ALT="$ R(5655)$">|; 

$key = q/includegraphics[width=1.7in]{imagenesslashcapitulo1slashespacio1d.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="176" HEIGHT="258" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img81.gif"
 ALT="\includegraphics[width= 1.7in]{imagenes/capitulo1/espacio1d.eps}">|; 

$key = q/v={0,1,ldots,n-1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="147" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img270.gif"
 ALT="$ v=\{0,1,\ldots,n-1\}$">|; 

$key = q/includegraphics[width=5.9in]{imagenesslashcapitulo2slashreglas_complejas.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="664" HEIGHT="720" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img304.gif"
 ALT="\includegraphics[width= 5.9in]{imagenes/capitulo2/reglas_complejas.eps}">|; 

$key = q/includegraphics[width=3.9in]{imagenesslashcapitulo1slashclase2_51.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="442" HEIGHT="175" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img156.gif"
 ALT="\includegraphics[width= 3.9in]{imagenes/capitulo1/clase2_51.eps}">|; 

$key = q/includegraphics[width=6.5in]{imagenesslashcapitulo4slashdeBruijn_110.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="721" HEIGHT="280" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img402.gif"
 ALT="\includegraphics[width= 6.5in]{imagenes/capitulo4/deBruijn_110.eps}">|; 

$key = q/n-1=mathcalV=8;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="103" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img272.gif"
 ALT="$ n-1= \mathcal V=8$">|; 

$key = q/mathcalV;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img104.gif"
 ALT="$ \mathcal V$">|; 

$key = q/displaystyle3pq^{2}.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img234.gif"
 ALT="$\displaystyle 3pq^{2}.$">|; 

$key = q/00100;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img416.gif"
 ALT="$ 00100$">|; 

$key = q/varphi(1,1,1)=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="94" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img89.gif"
 ALT="$ \varphi(1,1,1) = 0$">|; 

$key = q/displaystyleK_{n}(x,t)=sum_{vleqn,t}left({array}{c}nv{array}right)x^{v}(1-x)^{n-v},;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="265" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img185.gif"
 ALT="$\displaystyle K_{n}(x,t) = \sum_{v \leq n,t} \left (\begin{array}{c}
n \\\\
v
\end{array} \right ) x^{v} (1-x)^{n-v},$">|; 

$key = q/i-;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img38.gif"
 ALT="$ i-$">|; 

$key = q/i=2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img383.gif"
 ALT="$ i=2$">|; 

$key = q/includegraphics[width=3.0in]{imagenesslashcapitulo5slash1d22_3cfc3cfc.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="340" HEIGHT="66" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img500.gif"
 ALT="\includegraphics[width= 3.0in]{imagenes/capitulo5/1d22_3cfc3cfc.eps}">|; 

$key = q/80times80times80;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="91" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img146.gif"
 ALT="$ 80 \times 80 \times 80$">|; 

$key = q/Sigma^{2r+1}={000,001,010,011,100,101,110,111};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="323" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img206.gif"
 ALT="$ \Sigma^{2r+1}=\{000,001,010,011,100,101,110,111\}$">|; 

$key = q/varphi(0,0,0)rightarrow0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img358.gif"
 ALT="$ \varphi(0,0,0) \rightarrow 0$">|; 

$key = q/k^{2r+1}=2^{5}=32;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="116" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img126.gif"
 ALT="$ k^{2r+1}=2^{5}=32$">|; 

$key = q/includegraphics[width=1.3in]{imagenesslashcapitulo4slashBglider_Ba.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="233" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img483.gif"
 ALT="\includegraphics[width= 1.3in]{imagenes/capitulo4/Bglider_Ba.eps}">|; 

$key = q/varphi(1,0,1)rightarrow1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img361.gif"
 ALT="$ \varphi(1,0,1) \rightarrow 1$">|; 

$key = q/M_{0,1}=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img377.gif"
 ALT="$ M_{0,1}=1$">|; 

$key = q/includegraphics[width=5.5in]{imagenesslashcapitulo3slashcurva_5766a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="616" HEIGHT="422" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img347.gif"
 ALT="\includegraphics[width= 5.5in]{imagenes/capitulo3/curva_5766a.eps}">|; 

$key = q/M_{1,2}=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img381.gif"
 ALT="$ M_{1,2}=1$">|; 

$key = q/v=0,1,ldots,n-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="131" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img172.gif"
 ALT="$ v=0,1,\ldots,n-1$">|; 

$key = q/(1-p_{t});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img212.gif"
 ALT="$ (1-p_{t})$">|; 

$key = q/displaystylep^{3}.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img244.gif"
 ALT="$\displaystyle p^{3}.$">|; 

$key = q/01000;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img425.gif"
 ALT="$ 01000$">|; 

$key = q/displaystyleleft(frac{3!}{3!}right)(1-x)^{3}=(1-x)^{3};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="180" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img228.gif"
 ALT="$\displaystyle \left( \frac{3!}{3!} \right) (1-x)^{3} = (1-x)^{3}$">|; 

$key = q/vslashnleqt<(v+1)slashn,v=0,1,ldots,n-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="278" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img188.gif"
 ALT="$ v/n \leq t &lt; (v+1)/n, v=0,1,\ldots,n-1$">|; 

$key = q/R(3455);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img327.gif"
 ALT="$ R(3455)$">|; 

$key = q/k^{k^{2r+1}}=2^{2^{2(1)+1}}=2^{8}=256;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="198" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img75.gif"
 ALT="$ k^{k^{2r+1}}=2^{2^{2(1)+1}}=2^{8}=256$">|; 

$key = q/includegraphics[width=6.2in]{imagenesslashcapitulo2slashcurva_highlife3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="698" HEIGHT="451" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img303.gif"
 ALT="\includegraphics[width= 6.2in]{imagenes/capitulo2/curva_highlife3.eps}">|; 

$key = q/n-;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img79.gif"
 ALT="$ n-$">|; 

$key = q/z^{+};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img334.gif"
 ALT="$ z^{+}$">|; 

$key = q/displaystylep_{2,3};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img236.gif"
 ALT="$\displaystyle p_{2,3}$">|; 

$key = q/includegraphics[width=6.6in]{imagenesslashcapitulo4slashBglider_A.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="743" HEIGHT="477" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img481.gif"
 ALT="\includegraphics[width= 6.6in]{imagenes/capitulo4/Bglider_A.eps}">|; 

$key = q/includegraphics[width=2.0in]{imagenesslashapendiceslashproyectoslash2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="230" HEIGHT="232" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img508.gif"
 ALT="\includegraphics[width= 2.0in]{imagenes/apendice/proyecto/2.eps}">|; 

$key = q/(1,1,0,0)diamond(1,0,0,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img458.gif"
 ALT="$ (1,1,0,0) \diamond (1,0,0,0)$">|; 

$key = q/includegraphics[width=4.0in]{imagenesslashapendiceslashproyectoslash4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="345" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img510.gif"
 ALT="\includegraphics[width= 4.0in]{imagenes/apendice/proyecto/4.eps}">|; 

$key = q/N_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img112.gif"
 ALT="$ N_{max}$">|; 

$key = q/f(x);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img166.gif"
 ALT="$ f(x)$">|; 

$key = q/includegraphics[width=5.9in]{imagenesslashcapitulo5slash2dm.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="668" HEIGHT="355" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img497.gif"
 ALT="\includegraphics[width= 5.9in]{imagenes/capitulo5/2dm.eps}">|; 

$key = q/10000;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img443.gif"
 ALT="$ 10000$">|; 

$key = q/includegraphics[width=6.5in]{imagenesslashapendiceslashproyectoslash5.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="741" HEIGHT="269" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img512.gif"
 ALT="\includegraphics[width= 6.5in]{imagenes/apendice/proyecto/5.eps}">|; 

$key = q/N_{min}=3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img245.gif"
 ALT="$ N_{min}=3$">|; 

$key = q/includegraphics[width=5.1in]{imagenesslashcapitulo4slashBglider_B.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="576" HEIGHT="444" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img482.gif"
 ALT="\includegraphics[width= 5.1in]{imagenes/capitulo4/Bglider_B.eps}">|; 

$key = q/varphi(1,1,0)rightarrow1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img363.gif"
 ALT="$ \varphi(1,1,0) \rightarrow 1$">|; 

$key = q/displaystylep_{t+1}=296010p_{t}^{6}q_{t}^{21}+657800p_{t}^{8}q_{t}^{19}.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img341.gif"
 ALT="$\displaystyle p_{t+1}=296010p_{t}^{6}q_{t}^{21}+657800p_{t}^{8}q_{t}^{19}.$">|; 

$key = q/M_{2,1}=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img387.gif"
 ALT="$ M_{2,1}=1$">|; 

$key = q/n-v=5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img277.gif"
 ALT="$ n-v=5$">|; 

$key = q/M_{3,2}=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img391.gif"
 ALT="$ M_{3,2}=1$">|; 

$key = q/2r=2(1)=2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img72.gif"
 ALT="$ 2r=2(1)=2$">|; 

$key = q/v=3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img240.gif"
 ALT="$ v=3$">|; 

$key = q/z=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img309.gif"
 ALT="$ z=1$">|; 

$key = q/&&;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img522.gif"
 ALT="$ \&amp;\&amp;$">|; 

$key = q/includegraphics[width=6.5in]{imagenesslashapendiceslashosxslash21-osx.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="747" HEIGHT="561" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img502.gif"
 ALT="\includegraphics[width= 6.5in]{imagenes/apendice/osx/21-osx.eps}">|; 

$key = q/Phi_{n}(x);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img182.gif"
 ALT="$ \Phi_{n}(x)$">|; 

$key = q/{(x_{i+k_{1}},x_{j+k_{2}}):Max{|k_{1}|,|k_{2}|}leq1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="264" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img97.gif"
 ALT="$ \{ (x_{i + k_{1}}, x_{j + k_{2}}) : Max \{ \vert k_{1}\vert , \vert k_{2}\vert \} \leq 1 \}$">|; 

$key = q/K_{n}(x,t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img179.gif"
 ALT="$ K_{n}(x,t)$">|; 

$key = q/includegraphics[width=6.5in]{imagenesslashcapitulo2slashcurva_life2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="714" HEIGHT="572" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img294.gif"
 ALT="\includegraphics[width= 6.5in]{imagenes/capitulo2/curva_life2.eps}">|; 

$key = q/n-v=9-3=6;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="127" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img266.gif"
 ALT="$ n-v=9-3=6$">|; 

$key = q/includegraphics[width=4.0in]{imagenesslashcapitulo2slashlife2d_blinker.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="451" HEIGHT="98" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img252.gif"
 ALT="\includegraphics[width= 4.0in]{imagenes/capitulo2/life2d_blinker.eps}">|; 

$key = q/displaystylep_{0,3};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img226.gif"
 ALT="$\displaystyle p_{0,3}$">|; 

$key = q/displaystylep_{t+1}=sum_{j=1}^{k^{2r+1}}varphi_{j}(X)p_{t}^{v}(1-p_{t})^{n-v};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="228" HEIGHT="70" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img165.gif"
 ALT="$\displaystyle p_{t+1}=\sum_{j=1}^{k^{2r+1}}\varphi_{j}(X)p_{t}^{v}(1-p_{t})^{n-v}$">|; 

$key = q/kinmathbb{Z}^{+};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img36.gif"
 ALT="$ k \in \mathbb{Z}^{+}$">|; 

$key = q/varphi:Sigma^{2r+1}rightarrowSigma;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="105" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img64.gif"
 ALT="$ \varphi : \Sigma^{2r+1} \rightarrow \Sigma$">|; 

$key = q/displaystyle0<tleq1,;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="73" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img186.gif"
 ALT="$\displaystyle 0 &lt; t \leq 1,$">|; 

$key = q/displaystyle+(1)p_{t}^{2}(1-p_{t})^{1}+(0)p_{t}^{3}(1-p_{t})^{0};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="228" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img217.gif"
 ALT="$\displaystyle + (1)p_{t}^{2}(1-p_{t})^{1} + (0)p_{t}^{3}(1-p_{t})^{0}$">|; 

$key = q/mathbf{x}_{0};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img106.gif"
 ALT="$ \mathbf{x}_{0}$">|; 

$key = q/(0,0,0,1)diamond(0,0,1,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img413.gif"
 ALT="$ (0,0,0,1) \diamond (0,0,1,1)$">|; 

$key = q/(x_{i},y_{i},0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img306.gif"
 ALT="$ (x_{i},y_{i},0)$">|; 

$key = q/c_{i}^{t+1},ldots,c_{i}^{t+n};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="101" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img77.gif"
 ALT="$ c_{i}^{t+1},\ldots,c_{i}^{t+n}$">|; 

$key = q/[-pi,+pi];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="64" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img176.gif"
 ALT="$ [-\pi,+\pi]$">|; 

$key = q/t+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img116.gif"
 ALT="$ t+1$">|; 

$key = q/displaystyle3p^{2}q.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img239.gif"
 ALT="$\displaystyle 3p^{2}q.$">|; 

$key = q/2^{27};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img140.gif"
 ALT="$ 2^{27}$">|; 

$key = q/displaystylep_{t+1}=84p_{t}^{3}(1-p_{t})^{6}+56p_{t}^{4}(1-p_{t})^{5};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="258" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img280.gif"
 ALT="$\displaystyle p_{t+1}=84p_{t}^{3}(1-p_{t})^{6}+56p_{t}^{4}(1-p_{t})^{5}$">|; 

$key = q/x_{i-1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img367.gif"
 ALT="$ x_{i-1}$">|; 

$key = q/N_{min}leqsum_{i=1}^{mathcalV}{mathbf{x}_{i}}leqN_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="179" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img117.gif"
 ALT="$ N_{min} \leq \sum_{i=1}^{\mathcal V} {\mathbf{x}_{i}} \leq N_{max}$">|; 

$key = q/R(5777);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img315.gif"
 ALT="$ R(5777)$">|; 

$key = q/varphi(0,0,1)rightarrow1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img360.gif"
 ALT="$ \varphi(0,0,1) \rightarrow 1$">|; 

$key = q/i,j;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img98.gif"
 ALT="$ i,j$">|; 

$key = q/(2,5);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img4.gif"
 ALT="$ (2,5)$">|; 

$key = q/0leqvleq2r+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="106" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img195.gif"
 ALT="$ 0 \leq v \leq 2r+1$">|; 

$key = q/v=S_{min}=2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="97" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img271.gif"
 ALT="$ v=S_{min}=2$">|; 

$key = q/j=ki=2*0=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="128" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img374.gif"
 ALT="$ j=ki=2*0=0$">|; 

$key = q/j=(2*1)+1=3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="133" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img380.gif"
 ALT="$ j=(2*1)+1=3$">|; 

$key = q/displaystyleleft(frac{3!}{2!}right)x(1-x)^{2}=3x(1-x)^{2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="206" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img233.gif"
 ALT="$\displaystyle \left( \frac{3!}{2!} \right) x (1-x)^{2} = 3x (1-x)^{2}$">|; 

$key = q/displaystylevarphi(x_{i-r},ldots,x_{i},ldots,x_{i+r})=tau(x_{i-r}+ldots+x_{i}+ldots+x_{i+r});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="411" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img92.gif"
 ALT="$\displaystyle \varphi(x_{i-r},\ldots,x_{i},\ldots,x_{i+r}) = \tau(x_{i-r}+\ldots+x_{i}+\ldots+x_{i+r})$">|; 

$key = q/includegraphics[width=0.7in]{imagenesslashcapitulo2slashlinea_2336.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="80" HEIGHT="34" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img256.gif"
 ALT="\includegraphics[width= 0.7in]{imagenes/capitulo2/linea_2336.eps}">|; 

$key = q/includegraphics[width=3.1in]{imagenesslashcapitulo3slashcurva_5766.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="339" HEIGHT="219" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img346.gif"
 ALT="\includegraphics[width= 3.1in]{imagenes/capitulo3/curva_5766.eps}">|; 

$key = q/v=0,1,2,3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="87" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img221.gif"
 ALT="$ v=0,1,2,3$">|; 

$key = q/includegraphics[width=3.9in]{imagenesslashcapitulo1slashclase2_25.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="442" HEIGHT="174" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img155.gif"
 ALT="\includegraphics[width= 3.9in]{imagenes/capitulo1/clase2_25.eps}">|; 

$key = q/j;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img396.gif"
 ALT="$ j$">|; 

$key = q/0.03<c_{i}<0.1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="107" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img302.gif"
 ALT="$ 0.03 &lt; c_{i} &lt; 0.1$">|; 

$key = q/r;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img29.gif"
 ALT="$ r$">|; 

$key = q/mathcalC(Sigma)subseteqSigma^{mathbb{Z}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="78" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img47.gif"
 ALT="$ \mathcal C(\Sigma) \subseteq \Sigma^{\mathbb{Z}}$">|; 

$key = q/111;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img419.gif"
 ALT="$ 111$">|; 

$key = q/x_{i-1,j-1,k-1},ldots,x_{i+1,j+1,k+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="209" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img136.gif"
 ALT="$ x_{i-1,j-1,k-1},\ldots,x_{i+1,j+1,k+1}$">|; 

$key = q/z;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img307.gif"
 ALT="$ z$">|; 

$key = q/N_{min}=6;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img339.gif"
 ALT="$ N_{min}=6$">|; 

$key = q/R(6767);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img320.gif"
 ALT="$ R(6767)$">|; 

$key = q/varphi(0,1,0)rightarrow1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img362.gif"
 ALT="$ \varphi(0,1,0) \rightarrow 1$">|; 

$key = q/includegraphics[width=6.5in]{imagenesslashcapitulo4slashether.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="731" HEIGHT="465" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img475.gif"
 ALT="\includegraphics[width= 6.5in]{imagenes/capitulo4/ether.eps}">|; 

$key = q/includegraphics[width=5.5in]{imagenesslashcapitulo1slashevolucion3d_4555a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="620" HEIGHT="323" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img331.gif"
 ALT="\includegraphics[width= 5.5in]{imagenes/capitulo1/evolucion3d_4555a.eps}">|; 

$key = q/n-v=27-8=19;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="143" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img345.gif"
 ALT="$ n-v=27-8=19$">|; 

$key = q/varphi(0,1,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img201.gif"
 ALT="$ \varphi(0,1,1)$">|; 

$key = q/includegraphics[width=3.9in]{imagenesslashcapitulo1slashclase1_4t.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="442" HEIGHT="174" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img154.gif"
 ALT="\includegraphics[width= 3.9in]{imagenes/capitulo1/clase1_4t.eps}">|; 

$key = q/(k*i)+k-1=(2*i)+2-1=2i-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="280" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img398.gif"
 ALT="$ (k*i)+k-1=(2*i)+2-1=2i-1$">|; 

$key = q/includegraphics[width=4.0in]{imagenesslashapendiceslashproyectoslash1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="449" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img507.gif"
 ALT="\includegraphics[width= 4.0in]{imagenes/apendice/proyecto/1.eps}">|; 

$key = q/f^{n}(x)=x;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="74" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img282.gif"
 ALT="$ f^{n}(x)=x$">|; 

$key = q/v=6;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img342.gif"
 ALT="$ v=6$">|; 

$key = q/includegraphics[width=3.5in]{imagenesslashcapitulo4slashdeBruijn_grande.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="392" HEIGHT="665" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img488.gif"
 ALT="\includegraphics[width= 3.5in]{imagenes/capitulo4/deBruijn_grande.eps}">|; 

$key = q/varphi;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img32.gif"
 ALT="$ \varphi$">|; 

$key = q/(0,0,1,1)diamond(0,1,1,0);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img420.gif"
 ALT="$ (0,0,1,1) \diamond (0,1,1,0)$">|; 

$key = q/(1,0,0,1)diamond(0,0,1,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img448.gif"
 ALT="$ (1,0,0,1) \diamond (0,0,1,1)$">|; 

$key = q/2r+1geq2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="76" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img60.gif"
 ALT="$ 2r+1 \geq 2$">|; 

$key = q/B_{n}(x);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img169.gif"
 ALT="$ B_{n}(x)$">|; 

$key = q/(k=6,r=h);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="99" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img152.gif"
 ALT="$ (k=6,r=h)$">|; 

$key = q/mathbf{x}_{0}=x_{i,j};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img107.gif"
 ALT="$ \mathbf{x}_{0}=x_{i,j}$">|; 

$key = q/k*i=2i;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="68" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img397.gif"
 ALT="$ k*i=2i$">|; 

$key = q/124=(0*2^{0})+(0*2^{1})+(1*2^{2})+(1*2^{3})+(1*2^{4})+(1*2^{5})+(1*2^{6})+(0*2^{7});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="586" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img91.gif"
 ALT="$ 124=(0*2^{0})+(0*2^{1})+(1*2^{2})+(1*2^{3})+(1*2^{4})+(1*2^{5})+(1*2^{6})+(0*2^{7})$">|; 

$key = q/displaystylevarphi({mathbf{x}_{0}},{mathbf{x}_{1}},ldots,{mathbf{x}_{8}})=left{{sum}}{mathbf{x}_{i}}leq3{array}right.0&mbox{enotrocaso}{array}right.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="459" HEIGHT="152" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img247.gif"
 ALT="$\displaystyle \varphi({\mathbf{x}_{0}},{\mathbf{x}_{1}},\ldots,{\mathbf{x}_{8}}...
...}} \leq 3 \end{array} \right.   0 &amp; \mbox{en otro caso} \end{array} \right.$">|; 

$key = q/p_{t};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img211.gif"
 ALT="$ p_{t}$">|; 

$key = q/Phi:mathcalC_{F}(Sigma)rightarrowmathcalC_{F}(Sigma);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="139" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img68.gif"
 ALT="$ \Phi : \mathcal C_{F}(\Sigma) \rightarrow \mathcal C_{F}(\Sigma)$">|; 

$key = q/0leqxleq1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img192.gif"
 ALT="$ 0 \leq x \leq 1$">|; 

$key = q/Phi;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img65.gif"
 ALT="$ \Phi$">|; 

$key = q/mathbb{Z}otimesmathbb{Z}otimesmathbb{Z};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="75" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img134.gif"
 ALT="$ \mathbb{Z} \otimes \mathbb{Z} \otimes \mathbb{Z}$">|; 

$key = q/c_{i};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img33.gif"
 ALT="$ c_{i}$">|; 

$key = q/%;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img520.gif"
 ALT="$ \%$">|; 

$key = q/(0,0,1,0)diamond(0,1,0,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img417.gif"
 ALT="$ (0,0,1,0) \diamond (0,1,0,1)$">|; 

$key = q/E_{n};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img485.gif"
 ALT="$ E_{n}$">|; 

$key = q/(0,1,1,1)diamond(1,1,1,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img440.gif"
 ALT="$ (0,1,1,1) \diamond (1,1,1,1)$">|; 

$key = q/1-p;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img162.gif"
 ALT="$ 1-p$">|; 

$key = q/n-v;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img164.gif"
 ALT="$ n-v$">|; 

$key = q/Sigma;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img24.gif"
 ALT="$ \Sigma$">|; 

$key = q/displaystyleleft({array}{c}30{array}right)x^{0}(1-x)^{3-0}=left(frac{3!}{0!(3-0)!}right)(1)(1-x)^{3};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="335" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img227.gif"
 ALT="$\displaystyle \left (\begin{array}{c}
3 \\\\
0
\end{array} \right ) x^{0} (1-x)^{3-0} = \left( \frac{3!}{0!(3-0)!} \right) (1) (1-x)^{3}$">|; 

$key = q/x_{i+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img366.gif"
 ALT="$ x_{i+1}$">|; 

$key = q/01111;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img441.gif"
 ALT="$ 01111$">|; 

$key = q/includegraphics[width=4.9in]{imagenesslashcapitulo4slashgliders.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="544" HEIGHT="740" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img484.gif"
 ALT="\includegraphics[width= 4.9in]{imagenes/capitulo4/gliders.eps}">|; 

$key = q/i=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img373.gif"
 ALT="$ i=0$">|; 

$key = q/R(4567);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img321.gif"
 ALT="$ R(4567)$">|; 

$key = q/includegraphics[width=6.1in]{imagenesslashcapitulo2slashevolucion2d_2336.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="701" HEIGHT="552" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img257.gif"
 ALT="\includegraphics[width= 6.1in]{imagenes/capitulo2/evolucion2d_2336.eps}">|; 

$key = q/varphi(x_{i-r},ldots,x_{i},ldots,x_{i+r});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="178" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img158.gif"
 ALT="$ \varphi(x_{i-r},\ldots,x_{i},\ldots,x_{i+r})$">|; 

$key = q/mathbb{Z}^{+};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img21.gif"
 ALT="$ \mathbb{Z}^{+}$">|; 

$key = q/S_{min}leqsum_{i=1}^{mathcalV}{mathbf{x}_{i}}leqS_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="173" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img118.gif"
 ALT="$ S_{min} \leq \sum_{i=1}^{\mathcal V} {\mathbf{x}_{i}} \leq S_{max}$">|; 

$key = q/E;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img193.gif"
 ALT="$ E$">|; 

$key = q/varphi(1,0,1);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img203.gif"
 ALT="$ \varphi(1,0,1)$">|; 

$key = q/displaystylevarphi({mathbf{x}_{0}},{mathbf{x}_{1}},ldots,{mathbf{x}_{26}})=left{sum}}{mathbf{x}_{i}}leq5{array}right.0&mbox{enotrocaso}{array}right.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="465" HEIGHT="152" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img332.gif"
 ALT="$\displaystyle \varphi({\mathbf{x}_{0}},{\mathbf{x}_{1}},\ldots,{\mathbf{x}_{26}...
...}} \leq 5 \end{array} \right.   0 &amp; \mbox{en otro caso} \end{array} \right.$">|; 

$key = q/10111;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img457.gif"
 ALT="$ 10111$">|; 

$key = q/c_{i}inmathcalC_{F}(Sigma);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="79" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img49.gif"
 ALT="$ c_{i} \in \mathcal C_{F}(\Sigma)$">|; 

1;

