# LaTeX2HTML 2K.1beta (1.47)
# Associate images original text with physical files.


$key = q/theta;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$\theta$">|; 

$key = q/k;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$k$">|; 

$key = q/v>0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="51" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$v&gt;0$">|; 

$key = q/k=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$k=0$">|; 

$key = q/(theta,v);MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="$(\theta,v)$">|; 

$key = q/kge0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="$k\ge 0$">|; 

$key = q/{displaymath}frac{dv}{dt}=-sintheta-0.3,v^2+k,~~~~~~frac{dtheta}{dt}={{v^2-costheta}over{v}}.{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="472" HEIGHT="48" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="\begin{displaymath}
\frac{dv}{dt} = -\sin\theta - 0.3  v^2 +k, &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
\frac{d\theta}{dt} = {{v^2 - \cos\theta}\over{v}}.
\end{displaymath}">|; 

1;