# LaTeX2HTML 2002-2-1 (1.71)
# Associate images original text with physical files.


$key = q/displaystyle=y_2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img17.gif"
 ALT="$\displaystyle = y_2$">|; 

$key = q/displaystyle=asin(bt)-cby_2-dsiny_1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="192" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img26.gif"
 ALT="$\displaystyle = a\sin (bt) - cby_2 - d\sin y_1$">|; 

$key = q/2^1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img34.gif"
 ALT="$ 2^1$">|; 

$key = q/le;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img28.gif"
 ALT="$ \le$">|; 

$key = q/[;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="9" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.gif"
 ALT="$ [$">|; 

$key = q/displaystylefrac{{rmd}y_2}{{rmd}t};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="52" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img10.gif"
 ALT="$\displaystyle \frac{{\rm d}y_2}{{\rm d}t}$">|; 

$key = q/k;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img33.gif"
 ALT="$ k$">|; 

$key = q/T_{C3};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img37.gif"
 ALT="$ T_{C3}$">|; 

$key = q/displaystyle=by_1-y_2+y_3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="112" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img15.gif"
 ALT="$\displaystyle = by_1 - y_2 + y_3$">|; 

$key = q/backslash;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img2.gif"
 ALT="$ \backslash$">|; 

$key = q/T_{REV};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img39.gif"
 ALT="$ T_{REV}$">|; 

$key = q/displaystyle=a(y_1-by_2);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img14.gif"
 ALT="$\displaystyle = a(y_1 - by_2)$">|; 

$key = q/displaystyleT_{REV}({x_n},tau)=frac{langle(x_n-x_{n-tau})^3rangle}{langle(x_n-x_{n-tau})^2rangle^{frac32}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="245" HEIGHT="57" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img40.gif"
 ALT="$\displaystyle T_{REV}(\{x_n\},\tau)=\frac{\langle
(x_n-x_{n-\tau})^3\rangle}{\langle(x_n-x_{n-\tau})^2\rangle^{\frac 3
2}}
$">|; 

$key = q/2^{text{ttSC}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img36.gif"
 ALT="$ 2^{\text{\tt SC}}$">|; 

$key = q/displaystyle=a(y_1-y_2);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="91" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.gif"
 ALT="$\displaystyle = a(y_1 - y_2)$">|; 

$key = q/<;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img27.gif"
 ALT="$ &lt;$">|; 

$key = q/displaystyle=1+asin(bt)-by_2-expy_1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="207" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img23.gif"
 ALT="$\displaystyle = 1 + a\sin (bt) - by_2 - \exp y_1$">|; 

$key = q/displaystyle=-cy_2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img16.gif"
 ALT="$\displaystyle = -cy_2$">|; 

$key = q/>;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img4.gif"
 ALT="$ &gt;$">|; 

$key = q/displaystyle=b+y_3(y_1-c);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="116" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img22.gif"
 ALT="$\displaystyle = b + y_3(y_1 - c)$">|; 

$key = q/];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="9" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.gif"
 ALT="$ ]$">|; 

$key = q/displaystylefrac{{rmd}y_1}{{rmd}t};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="52" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img8.gif"
 ALT="$\displaystyle \frac{{\rm d}y_1}{{\rm d}t}$">|; 

$key = q/^2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img41.gif"
 ALT="$ ^2$">|; 

$key = q/loggamma(k);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img32.gif"
 ALT="$ \log\gamma(k)$">|; 

$key = q/displaystyle=y_1y_2+cy_3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="92" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img13.gif"
 ALT="$\displaystyle = y_1 y_2 + cy_3$">|; 

$key = q/2^{text{ttdepth}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img31.gif"
 ALT="$ 2^{\text{\tt depth}}$">|; 

$key = q/displaystyleT_{C3}({x_n},tau)=frac{langlex_nx_{n-tau}x_{n-2tau}rangle}{|langlex_nx_{n-tau}rangle|^{frac32}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="224" HEIGHT="55" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img38.gif"
 ALT="$\displaystyle T_{C3}(\{x_n\},\tau)=\frac{\langle
x_nx_{n-\tau}x_{n-2\tau}\rangle}{\vert\langle x_nx_{n-\tau}\rangle\vert^{\frac
3 2}}
$">|; 

$key = q/displaystyle=c;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img19.gif"
 ALT="$\displaystyle = c$">|; 

$key = q/rightarrow;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img3.gif"
 ALT="$ \rightarrow$">|; 

$key = q/(log_2-log_2);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="90" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img30.gif"
 ALT="$ (\log_2-\log_2)$">|; 

$key = q/2^{text{ttscale}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img35.gif"
 ALT="$ 2^{\text{\tt scale}}$">|; 

$key = q/displaystyle=by_1-y_2-y_1y_3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="127" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.gif"
 ALT="$\displaystyle = by_1 - y_2 - y_1 y_3$">|; 

$key = q/displaystyle=y_1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img24.gif"
 ALT="$\displaystyle = y_1$">|; 

$key = q/displaystyleI=sumP(A,B)log_2frac{P(A,B)}{P(A)P(B)};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="227" HEIGHT="55" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img29.gif"
 ALT="$\displaystyle I=\sum P(A,B)\log_2\frac{P(A,B)}{P(A)P(B)}
$">|; 

$key = q/displaystylefrac{{rmd}y_3}{{rmd}t};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="52" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img12.gif"
 ALT="$\displaystyle \frac{{\rm d}y_3}{{\rm d}t}$">|; 

$key = q/displaystyle=-y_2-y_3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="83" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img20.gif"
 ALT="$\displaystyle = -y_2 - y_3$">|; 

$key = q/displaystyle=asin(bt)-c(by_2^2-1)-d^2y_1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="215" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img25.gif"
 ALT="$\displaystyle = a\sin (bt) - c(by_2^2 - 1) - d^2y_1$">|; 

$key = q/displaystyle=-y_1-y_1^3-by_2+acosy_3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="194" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.gif"
 ALT="$\displaystyle = -y_1 - y_1^3 - by_2 + a\cos y_3$">|; 

$key = q/displaystyle=-y_1+ay_2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="91" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img21.gif"
 ALT="$\displaystyle = -y_1 + ay_2$">|; 

$key = q/n;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img5.gif"
 ALT="$ n$">|; 

$key = q/++;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img1.gif"
 ALT="$ ++$">|; 

1;

