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


$key = q/R(5,6,5,5);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.gif"
 ALT="$ R(5,6,5,5)$">|; 

$key = q/R(6766);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img113.gif"
 ALT="$ R(6766)$">|; 

$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="|."$dir".q|img127.gif"
 ALT="$\displaystyle p_{t+1}=14950p_{t}^{5}q_{t}^{22}+65780p_{t}^{6}q_{t}^{21}+65780p_{t}^{5}q_{t}^{22}$">|; 

$key = q/R(5,6,7,7);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img125.gif"
 ALT="$ R(5,6,7,7)$">|; 

$key = q/mathbf{x}_{i}inK;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="53" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img21.gif"
 ALT="$ \mathbf{x}_{i} \in K$">|; 

$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="|."$dir".q|img67.gif"
 ALT="$\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=4.0in]{imagenesslash5655.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="449" HEIGHT="292" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img131.gif"
 ALT="\includegraphics[width=4.0in]{imagenes/5655.eps}">|; 

$key = q/N_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img28.gif"
 ALT="$ N_{max}$">|; 

$key = q/n-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img68.gif"
 ALT="$ n-1$">|; 

$key = q/includegraphics[width=3.5in]{imagenesslash6855.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="395" HEIGHT="251" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img133.gif"
 ALT="\includegraphics[width=3.5in]{imagenes/6855.eps}">|; 

$key = q/S_{min};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img27.gif"
 ALT="$ S_{min}$">|; 

$key = q/f(x);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img41.gif"
 ALT="$ f(x)$">|; 

$key = q/q;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img72.gif"
 ALT="$ q$">|; 

$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="|."$dir".q|img30.gif"
 ALT="$ \mathbf{x}_{0}=0$">|; 

$key = q/p_{t+2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img102.gif"
 ALT="$ p_{t+2}$">|; 

$key = q/Ksubseteqmathbb{Z}^{+};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img15.gif"
 ALT="$ K \subseteq \mathbb{Z}^{+}$">|; 

$key = q/N_{min}=3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img74.gif"
 ALT="$ N_{min}=3$">|; 

$key = q/R(4666);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img116.gif"
 ALT="$ R(4666)$">|; 

$key = q/includegraphics[width=1.2in]{imagenesslashvecindad_M.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="129" HEIGHT="130" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img16.gif"
 ALT="\includegraphics[width=1.2in]{imagenes/vecindad_M.eps}">|; 

$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="|."$dir".q|img121.gif"
 ALT="$\displaystyle p_{t+1}=65780p_{t}^{6}q_{t}^{21}+657800p_{t}^{8}q_{t}^{19}+230230p_{t}^{6}q_{t}^{21}$">|; 

$key = q/S_{min}=2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="67" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img1.gif"
 ALT="$ S_{min}=2$">|; 

$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="|."$dir".q|img122.gif"
 ALT="$\displaystyle p_{t+1}=296010p_{t}^{6}q_{t}^{21}+657800p_{t}^{8}q_{t}^{19}.$">|; 

$key = q/n-v=5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img96.gif"
 ALT="$ n-v=5$">|; 

$key = q/n=9;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img91.gif"
 ALT="$ n=9$">|; 

$key = q/includegraphics[width=4.0in]{imagenesslash4555.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="448" HEIGHT="290" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img130.gif"
 ALT="\includegraphics[width=4.0in]{imagenes/4555.eps}">|; 

$key = q/v=3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img83.gif"
 ALT="$ v=3$">|; 

$key = q/K^{mathcalV+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img64.gif"
 ALT="$ K^{\mathcal V+1}$">|; 

$key = q/includegraphics[width=2.8in]{imagenesslashlife2d_glidergun.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="310" HEIGHT="161" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img81.gif"
 ALT="\includegraphics[width=2.8in]{imagenes/life2d_glidergun.eps}">|; 

$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="|."$dir".q|img23.gif"
 ALT="$ \{ (x_{i + k_{1}}, x_{j + k_{2}}) : Max \{ \vert k_{1}\vert , \vert k_{2}\vert \} \leq 1 \}$">|; 

$key = q/R(3566);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img119.gif"
 ALT="$ R(3566)$">|; 

$key = q/n=mathcalV+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="73" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img88.gif"
 ALT="$ n=\mathcal V+1$">|; 

$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="|."$dir".q|img128.gif"
 ALT="$\displaystyle p_{t+1}=80730p_{t}^{5}q_{t}^{22}+65780p_{t}^{6}q_{t}^{21}.$">|; 

$key = q/R(4566);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img117.gif"
 ALT="$ R(4566)$">|; 

$key = q/R(5566);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img107.gif"
 ALT="$ R(5566)$">|; 

$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="|."$dir".q|img84.gif"
 ALT="$ n-v=9-3=6$">|; 

$key = q/includegraphics[width=3.2in]{imagenesslashconfig_life2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="363" HEIGHT="128" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img86.gif"
 ALT="\includegraphics[width=3.2in]{imagenes/config_life2.eps}">|; 

$key = q/R(5877);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img115.gif"
 ALT="$ R(5877)$">|; 

$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="|."$dir".q|img51.gif"
 ALT="$ p_{n,v}(x)$">|; 

$key = q/mathbf{x}_{0};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img85.gif"
 ALT="$ \mathbf{x}_{0}$">|; 

$key = q/|K|=k;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img54.gif"
 ALT="$ \vert K\vert=k$">|; 

$key = q/k^{mathcalV+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img55.gif"
 ALT="$ k^{\mathcal V+1}$">|; 

$key = q/S_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img29.gif"
 ALT="$ S_{max}$">|; 

$key = q/t+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img33.gif"
 ALT="$ t+1$">|; 

$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="|."$dir".q|img99.gif"
 ALT="$\displaystyle p_{t+1}=84p_{t}^{3}(1-p_{t})^{6}+56p_{t}^{4}(1-p_{t})^{5}$">|; 

$key = q/2^{27};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img38.gif"
 ALT="$ 2^{27}$">|; 

$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="|."$dir".q|img48.gif"
 ALT="$\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="|."$dir".q|img109.gif"
 ALT="$ R(4656)$">|; 

$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="|."$dir".q|img43.gif"
 ALT="$\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/X_{j};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img57.gif"
 ALT="$ X_{j}$">|; 

$key = q/R(5777);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img106.gif"
 ALT="$ R(5777)$">|; 

$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="|."$dir".q|img78.gif"
 ALT="$ 3 \leq \sum_{i=1}^{8} \mathbf{x}_{i} \leq 3$">|; 

$key = q/forall;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img24.gif"
 ALT="$ \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="|."$dir".q|img2.gif"
 ALT="$ S_{max}=3$">|; 

$key = q/mathbf{x}_{1},ldots,mathbf{x}_{mathcalV}=x_{i-1j-1},ldots,x_{i+1j+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="243" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img20.gif"
 ALT="$ \mathbf{x}_{1},\ldots,\mathbf{x}_{\mathcal V}=x_{i-1 j-1},\ldots,x_{i+1 j+1}$">|; 

$key = q/mathcalV=8;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img18.gif"
 ALT="$ \mathcal V=8$">|; 

$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="|."$dir".q|img126.gif"
 ALT="$ R(2+2,3+2,3+2,3+2)$">|; 

$key = q/includegraphics[width=2.5in]{imagenesslash4555a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="272" HEIGHT="180" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img129.gif"
 ALT="\includegraphics[width=2.5in]{imagenes/4555a.eps}">|; 

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

$key = q/N;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img35.gif"
 ALT="$ N$">|; 

$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="|."$dir".q|img73.gif"
 ALT="$ R(2,3,3,3)$">|; 

$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="|."$dir".q|img97.gif"
 ALT="$\displaystyle p_{t+1}=28p_{t}^{3}q_{t}^{6}+56p_{t}^{4}q_{t}^{5}+56p_{t}^{3}q_{t}^{6}$">|; 

$key = q/p_{t+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img66.gif"
 ALT="$ p_{t+1}$">|; 

$key = q/displaystyleleft({array}{c}9-12{array}right)=frac{(9-1)!}{2!((9-1)-2)!}=28;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="245" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img92.gif"
 ALT="$\displaystyle \left (\begin{array}{c} 9-1 \ 2 \end{array} \right ) = \frac{(9-1)!}{2!((9-1)-2)!} = 28$">|; 

$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="|."$dir".q|img4.gif"
 ALT="$ R(4,5,5,5)$">|; 

$key = q/mathbb{Z};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img12.gif"
 ALT="$ \mathbb{Z}$">|; 

$key = q/mathbb{Z}timesmathbb{Z};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img14.gif"
 ALT="$ \mathbb{Z} \times \mathbb{Z}$">|; 

$key = q/[0,1];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img42.gif"
 ALT="$ [0,1]$">|; 

$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="|."$dir".q|img71.gif"
 ALT="$ \left (\begin{array}{c}
n-1 \\\\
v
\end{array} \right )$">|; 

$key = q/includegraphics[width=3.5in]{imagenesslash4633.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="394" HEIGHT="254" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img132.gif"
 ALT="\includegraphics[width=3.5in]{imagenes/4633.eps}">|; 

$key = q/j;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img58.gif"
 ALT="$ j$">|; 

$key = q/displaystyleleft({array}{c}9-13{array}right)=frac{(9-1)!}{3!((9-1)-3)!}=56.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="250" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img93.gif"
 ALT="$\displaystyle \left (\begin{array}{c} 9-1 \ 3 \end{array} \right ) = \frac{(9-1)!}{3!((9-1)-3)!} = 56.$">|; 

$key = q/displaystylep_{t+1}=sum_{j=0}^{k^{mathcalV+1}-1}varphi(X_{j})p_{t}^{v}q_{t}^{n-v}.;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="199" HEIGHT="71" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img63.gif"
 ALT="$\displaystyle p_{t+1}=\sum_{j=0}^{k^{\mathcal V+1}-1}\varphi(X_{j}) p_{t}^{v} q_{t}^{n-v}.$">|; 

$key = q/mathcalV+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img53.gif"
 ALT="$ \mathcal V+1$">|; 

$key = q/n;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img44.gif"
 ALT="$ n$">|; 

$key = q/p;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img60.gif"
 ALT="$ p$">|; 

$key = q/t;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="10" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img31.gif"
 ALT="$ t$">|; 

$key = q/v;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img52.gif"
 ALT="$ v$">|; 

$key = q/R(4,6,3,3);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.gif"
 ALT="$ R(4,6,3,3)$">|; 

$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="|."$dir".q|img32.gif"
 ALT="$ \mathbf{x}_{0}=1$">|; 

$key = q/x;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img46.gif"
 ALT="$ x$">|; 

$key = q/R(5755);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img108.gif"
 ALT="$ R(5755)$">|; 

$key = q/z;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img40.gif"
 ALT="$ z$">|; 

$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="|."$dir".q|img87.gif"
 ALT="$\displaystyle \left (\begin{array}{c} n-1 \ v \end{array} \right ) = \frac{(n-1)!}{v!((n-1)-v)!}$">|; 

$key = q/R(5767);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img105.gif"
 ALT="$ R(5767)$">|; 

$key = q/includegraphics[width=4.0in]{imagenesslash2333.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="449" HEIGHT="286" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img104.gif"
 ALT="\includegraphics[width=4.0in]{imagenes/2333.eps}">|; 

$key = q/R(6767);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img111.gif"
 ALT="$ R(6767)$">|; 

$key = q/R(6,8,5,5);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="82" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.gif"
 ALT="$ R(6,8,5,5)$">|; 

$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="|."$dir".q|img3.gif"
 ALT="$ R(5,7,6,6)$">|; 

$key = q/n-v=6;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img94.gif"
 ALT="$ n-v=6$">|; 

$key = q/f(x)=x;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img101.gif"
 ALT="$ f(x)=x$">|; 

$key = q/v=2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img90.gif"
 ALT="$ v=2$">|; 

$key = q/includegraphics[width=1.3in]{imagenesslashconfig_life.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="145" HEIGHT="145" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img82.gif"
 ALT="\includegraphics[width=1.3in]{imagenes/config_life.eps}">|; 

$key = q/v=4;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img95.gif"
 ALT="$ v=4$">|; 

$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="520" HEIGHT="152" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img37.gif"
 ALT="$\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/varphi;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.gif"
 ALT="$ \varphi$">|; 

$key = q/i,j,kinmathbb{Z};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img25.gif"
 ALT="$ i,j, k \in \mathbb{Z}$">|; 

$key = q/K={0,1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="79" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img17.gif"
 ALT="$ K=\{0,1\}$">|; 

$key = q/includegraphics[width=2.5in]{imagenesslash5766a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="273" HEIGHT="177" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img123.gif"
 ALT="\includegraphics[width=2.5in]{imagenes/5766a.eps}">|; 

$key = q/B_{n}(x);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="46" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img45.gif"
 ALT="$ B_{n}(x)$">|; 

$key = q/leqn;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="30" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img47.gif"
 ALT="$ \leq n$">|; 

$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="|."$dir".q|img19.gif"
 ALT="$ \mathbf{x}_{0}=x_{i,j}$">|; 

$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="|."$dir".q|img98.gif"
 ALT="$\displaystyle p_{t+1}=84p_{t}^{3}q_{t}^{6}+56p_{t}^{4}q_{t}^{5}$">|; 

$key = q/0leqvleqmathcalV+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="101" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img65.gif"
 ALT="$ 0 \leq v \leq \mathcal V+1$">|; 

$key = q/R(4655);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img110.gif"
 ALT="$ R(4655)$">|; 

$key = q/R(5655);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img114.gif"
 ALT="$ R(5655)$">|; 

$key = q/0,ldots,k^{mathcalV+1}-1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="112" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img59.gif"
 ALT="$ 0,\ldots,k^{\mathcal V+1}-1$">|; 

$key = q/varphi({mathbf{x}_{0}},ldots,{mathbf{x}_{mathcalV}});MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="101" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img56.gif"
 ALT="$ \varphi({\mathbf{x}_{0}},\ldots,{\mathbf{x}_{\mathcal V}})$">|; 

$key = q/p_{t};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img69.gif"
 ALT="$ p_{t}$">|; 

$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="457" HEIGHT="152" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img77.gif"
 ALT="$\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/q_{t};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img70.gif"
 ALT="$ q_{t}$">|; 

$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="|."$dir".q|img79.gif"
 ALT="$ 2 \leq \sum_{i=1}^{8} \mathbf{x}_{i} \leq 3$">|; 

$key = q/0leqxleq1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img49.gif"
 ALT="$ 0 \leq x \leq 1$">|; 

$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="|."$dir".q|img89.gif"
 ALT="$ v=\{0,1,\ldots,n-1\}$">|; 

$key = q/c_{i};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img76.gif"
 ALT="$ c_{i}$">|; 

$key = q/includegraphics[width=2.8in]{imagenesslashlife2d_glider.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="310" HEIGHT="75" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img80.gif"
 ALT="\includegraphics[width=2.8in]{imagenes/life2d_glider.eps}">|; 

$key = q/N_{min};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img26.gif"
 ALT="$ N_{min}$">|; 

$key = q/includegraphics[width=4.0in]{imagenesslash5766.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="450" HEIGHT="285" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img124.gif"
 ALT="\includegraphics[width=4.0in]{imagenes/5766.eps}">|; 

$key = q/mathcalV;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img10.gif"
 ALT="$ \mathcal V$">|; 

$key = q/n-v;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img62.gif"
 ALT="$ n-v$">|; 

$key = q/R(4567);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img112.gif"
 ALT="$ R(4567)$">|; 

$key = q/N_{max}=3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="72" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img75.gif"
 ALT="$ N_{max}=3$">|; 

$key = q/q=1-p;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="68" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img61.gif"
 ALT="$ q=1-p$">|; 

$key = q/mathbb{Z}^{+};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img13.gif"
 ALT="$ \mathbb{Z}^{+}$">|; 

$key = q/includegraphics[width=2.5in]{imagenesslash2333a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="275" HEIGHT="276" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img100.gif"
 ALT="\includegraphics[width=2.5in]{imagenes/2333a.eps}">|; 

$key = q/E;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img50.gif"
 ALT="$ E$">|; 

$key = q/c_{0};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.gif"
 ALT="$ c_{0}$">|; 

$key = q/K;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img8.gif"
 ALT="$ K$">|; 

$key = q/{displaymath}{array}{lll}p_{t+2}&=&84(84p_{t+1}^{3}(1-p_{t+1})^{6}&&+56p_{t+1}^{_{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="392" HEIGHT="102" BORDER="0"
 SRC="|."$dir".q|img103.gif"
 ALT="\begin{displaymath}
\begin{array}{lll}
p_{t+2}&amp;=&amp;84(84p_{t+1}^{3}(1-p_{t+1})^{6}...
...)^{6} \\\\
&amp; &amp; +56p_{t+1}^{4}(1-p_{t+1})^{5}))^{5}
\end{array}
\end{displaymath}">|; 

$key = q/includegraphics[width=1.0in]{imagenesslashvecindad3d_M.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="110" HEIGHT="107" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img39.gif"
 ALT="\includegraphics[width=1.0in]{imagenes/vecindad3d_M.eps}">|; 

$key = q/S;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img36.gif"
 ALT="$ S$">|; 

$key = q/R(3455);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img118.gif"
 ALT="$ R(3455)$">|; 

$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="|."$dir".q|img34.gif"
 ALT="$ R(S_{min},S_{max},N_{min},N_{max})$">|; 

$key = q/includegraphics[width=3.8in]{imagenesslashgliders3d.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="428" HEIGHT="103" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img120.gif"
 ALT="\includegraphics[width=3.8in]{imagenes/gliders3d.eps}">|; 

1;

