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


$key = q/includegraphics[width=1.7in]{imagesslashglider-D2-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="190" HEIGHT="67" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img53.gif"
 ALT="\includegraphics[width=1.7in]{images/glider-D2-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-7.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img345.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-7.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-45.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img555.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-45.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-17.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img580.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-17.eps}">|; 

$key = q/includegraphics[width=0.3in]{imagesslashglider-A-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="24" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img28.gif"
 ALT="\includegraphics[width=0.3in]{images/glider-A-2.eps}">|; 

$key = q/includegraphics[width=3.7in]{imagesslashglider-Ebar-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="418" HEIGHT="300" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img61.gif"
 ALT="\includegraphics[width=3.7in]{images/glider-Ebar-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img96.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-4.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-22.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img278.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-22.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-14.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img326.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-14.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-33.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img372.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-33.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-5.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img509.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-5.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-53.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img450.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-53.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-44.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img216.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-44.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-49.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img389.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-49.eps}">|; 

$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="|."$dir".q|img15.gif"
 ALT="$ \varphi(0,1,0) = 1$">|; 

$key = q/includegraphics[width=5.2in]{imagesslashglider-Bbar8.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="588" HEIGHT="519" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img36.gif"
 ALT="\includegraphics[width=5.2in]{images/glider-Bbar8.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-50.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img145.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-50.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-22.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img168.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-22.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar8-9.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img253.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar8-9.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-10.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img572.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-10.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-18.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img113.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-18.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-6.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img318.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-6.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagesslashglider-C2-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="393" HEIGHT="447" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img44.gif"
 ALT="\includegraphics[width=3.5in]{images/glider-C2-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-26.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img590.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-26.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-44a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img554.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-44a.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-22a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img305.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-22a.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-14.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img410.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-14.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-42.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img382.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-42.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-23.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img335.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-23.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-62.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img460.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-62.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-22a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img501.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-22a.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-19.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img301.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-19.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-53.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img225.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-53.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar8-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img246.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar8-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-16.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img493.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-16.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-11.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img106.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-11.eps}">|; 

$key = q/2^{0}(0)+2^{1}(1)cdots+2^{7}(0)=110;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="216" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.gif"
 ALT="$ 2^{0}(0)+2^{1}(1)\cdots+2^{7}(0)=110$">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-69.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img241.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-69.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-5.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img261.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-5.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-27.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="650" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img122.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-27.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-15.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img519.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-15.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-6.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img402.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-6.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagesslashglider-D1-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="396" HEIGHT="389" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img50.gif"
 ALT="\includegraphics[width=3.5in]{images/glider-D1-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-6.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img178.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-6.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-35.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img599.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-35.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-46a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img611.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-46a.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img149.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-12.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img294.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-12.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img566.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-4.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-23.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img419.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-23.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-51.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img391.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-51.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-14.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img186.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-14.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-19.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img358.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-19.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-62.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img234.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-62.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-39.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img435.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-39.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-20.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img115.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-20.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-36.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img131.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-36.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-24.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img528.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-24.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-44.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img608.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-44.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-5.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img482.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-5.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar8-11.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img255.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar8-11.eps}">|; 

$key = q/includegraphics[width=2in]{imagesslashglider-E-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="223" HEIGHT="128" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img57.gif"
 ALT="\includegraphics[width=2in]{images/glider-E-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsE-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img467.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsE-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-12.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img350.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-12.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-21.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img303.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-21.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-32.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img428.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-32.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-23.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img195.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-23.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-17.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img273.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-17.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-71.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img243.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-71.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-28.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img367.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-28.eps}">|; 

$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="|."$dir".q|img11.gif"
 ALT="$ \varphi(0,0,0) = 0$">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-48.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img445.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-48.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-39.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img211.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-39.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img286.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-4.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-45.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img140.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-45.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-17.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img163.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-17.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-33.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img541.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-33.eps}">|; 

$key = q/includegraphics[width=4in]{imagesslashglider-Ebar-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="452" HEIGHT="668" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img62.gif"
 ALT="\includegraphics[width=4in]{images/glider-Ebar-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-49.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img559.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-49.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-10.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img266.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-10.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-21.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img360.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-21.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-8.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img103.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-8.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashglider-B.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="501" HEIGHT="534" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img30.gif"
 ALT="\includegraphics[width=4.5in]{images/glider-B.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-41.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img438.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-41.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-26.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img282.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-26.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-32.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img204.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-32.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-9.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img513.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-9.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-37.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img376.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-37.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-18.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img330.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-18.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-54a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img452.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-54a.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-57.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img455.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-57.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-48.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img220.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-48.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-10.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img156.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-10.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisions-H.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="495" HEIGHT="619" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img90.gif"
 ALT="\includegraphics[width=4.5in]{images/collisions-H.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img342.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-4.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-14.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img576.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-14.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-42.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img551.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-42.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img93.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-1.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisions-C1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img81.gif"
 ALT="\includegraphics[width=4.5in]{images/collisions-C1.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img506.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-30.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img369.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-30.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-11.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img323.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-11.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-2a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img564.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-2a.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-50.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img447.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-50.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-41.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img213.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-41.eps}">|; 

$key = q/K={0,1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="79" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img8.gif"
 ALT="$ K=\{0,1\}$">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-18.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img414.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-18.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-46.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img386.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-46.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-66.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img464.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-66.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-57.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img229.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-57.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar8-6.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img250.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar8-6.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-15.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img110.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-15.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img315.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-3.eps}">|; 

$key = q/includegraphics[width=4in]{imagesslashglider-C2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="446" HEIGHT="306" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img42.gif"
 ALT="\includegraphics[width=4in]{images/glider-C2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-23.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img587.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-23.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-51.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img561.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-51.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-9.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img265.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-9.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-19.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img523.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-19.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-39.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img603.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-39.eps}">|; 

$key = q/includegraphics[width=5in]{imagesslashglider-A-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="563" HEIGHT="576" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img29.gif"
 ALT="\includegraphics[width=5in]{images/glider-A-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-11.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img407.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-11.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-20.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img332.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-20.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-7.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img153.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-7.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-16.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img298.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-16.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-50.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img222.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-50.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-13.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img490.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-13.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-8.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img570.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-8.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-27.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img423.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-27.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-55.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img395.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-55.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-18.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img190.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-18.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-66.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img238.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-66.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img258.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-24.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img119.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-24.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img399.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-12.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img516.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-12.eps}">|; 

$key = q/includegraphics[width=4in]{imagesslashglider-D1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="446" HEIGHT="362" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img48.gif"
 ALT="\includegraphics[width=4in]{images/glider-D1.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img175.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-32.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img596.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-32.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-28.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img533.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-28.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-9.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img486.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-9.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-48.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img613.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-48.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-20.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img416.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-20.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img562.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-1.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-11.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img183.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-11.eps}">|; 

$key = q/K;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img2.gif"
 ALT="$ K$">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-25.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img309.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-25.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-16.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img355.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-16.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsE-7.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img471.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsE-7.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-22.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img500.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-22.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-36.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img432.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-36.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-27.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img199.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-27.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-33.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img128.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-33.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-21.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img525.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-21.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-41.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img605.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-41.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img479.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-8.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img290.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-8.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-49.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img144.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-49.eps}">|; 

$key = q/includegraphics[width=3in]{imagesslashglider-Ebar-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="339" HEIGHT="616" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img63.gif"
 ALT="\includegraphics[width=3in]{images/glider-Ebar-4.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-37.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img546.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-37.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img78.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-14.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img270.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-14.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-20.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img192.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-20.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-25.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img364.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-25.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashglider-F.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="501" HEIGHT="553" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img64.gif"
 ALT="\includegraphics[width=4.5in]{images/glider-F.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-45.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img442.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-45.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-36.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img208.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-36.eps}">|; 

$key = q/includegraphics[width=2.8in]{imagesslashglider-H-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="321" HEIGHT="699" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img75.gif"
 ALT="\includegraphics[width=2.8in]{images/glider-H-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsE-10.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img474.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsE-10.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img283.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-1.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-42.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img137.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-42.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-14.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img160.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-14.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-30.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img537.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-30.eps}">|; 

$key = q/includegraphics[width=1.7in]{imagesslashglider-C1-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="189" HEIGHT="83" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img40.gif"
 ALT="\includegraphics[width=1.7in]{images/glider-C1-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-8.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img346.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-8.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-18.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img581.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-18.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-46.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img556.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-46.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-27a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img532.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-27a.eps}">|; 

$key = q/r=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img7.gif"
 ALT="$ r=1$">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-5.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img100.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-5.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-23.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img279.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-23.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-6.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img510.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-6.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-34.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img373.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-34.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-15.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img327.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-15.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-26a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img311.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-26a.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-54.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img451.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-54.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-45.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img217.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-45.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-38a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img378.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-38a.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisions-E.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img86.gif"
 ALT="\includegraphics[width=4.5in]{images/collisions-E.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img339.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-1.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-23.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img169.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-23.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-11.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img573.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-11.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-19.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img114.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-19.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-7.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img319.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-7.eps}">|; 

$key = q/includegraphics[width=2.6in]{imagesslashglider-Bbar-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="294" HEIGHT="123" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img34.gif"
 ALT="\includegraphics[width=2.6in]{images/glider-Bbar-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-27.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img591.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-27.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-36a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img545.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-36a.eps}">|; 

$key = q/includegraphics[width=2.7in]{imagesslashT1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="302" HEIGHT="382" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img20.gif"
 ALT="\includegraphics[width=2.7in]{images/T1.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-22b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img306.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-22b.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-15.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img411.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-15.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-43.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img383.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-43.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-24.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img336.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-24.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-63.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img461.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-63.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-22b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img502.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-22b.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-54.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img226.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-54.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-17.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img494.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-17.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar8-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img247.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar8-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-12.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img107.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-12.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsE-10a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img475.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsE-10a.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-20.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img583.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-20.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-6.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img262.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-6.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-28.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img123.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-28.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-16.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img520.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-16.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-7.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img403.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-7.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-7.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img179.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-7.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-36.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img600.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-36.eps}">|; 

$key = q/includegraphics[width=0.3in]{imagesslashglider-B-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="24" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img31.gif"
 ALT="\includegraphics[width=0.3in]{images/glider-B-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img150.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-4.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-13.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img295.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-13.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-10.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img487.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-10.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-5.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img567.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-5.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-24.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img420.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-24.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-52.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img392.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-52.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-15.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img187.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-15.eps}">|; 

$key = q/includegraphics[width=3.7in]{imagesslashglider-F-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="418" HEIGHT="352" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img65.gif"
 ALT="\includegraphics[width=3.7in]{images/glider-F-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-63.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img235.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-63.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-21.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img116.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-21.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-37.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img132.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-37.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-25.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img529.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-25.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagesslashglider-C3-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="393" HEIGHT="425" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img47.gif"
 ALT="\includegraphics[width=3.5in]{images/glider-C3-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-45.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img609.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-45.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-6.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img483.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-6.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar8-12.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img256.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar8-12.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsE-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img468.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsE-4.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-13.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img351.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-13.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-22.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img304.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-22.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-33.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img429.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-33.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-18.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img274.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-18.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-24.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img196.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-24.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-29.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img368.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-29.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-49.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img446.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-49.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-30.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img125.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-30.eps}">|; 

$key = q/includegraphics[width=5.5in]{imagesslashglider-Bbar8-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="623" HEIGHT="569" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img38.gif"
 ALT="\includegraphics[width=5.5in]{images/glider-Bbar8-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-5.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img287.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-5.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-46.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img141.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-46.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-18.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img164.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-18.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-14a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img577.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-14a.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-34.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img542.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-34.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagesslashglider-D2-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="396" HEIGHT="426" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img54.gif"
 ALT="\includegraphics[width=3.5in]{images/glider-D2-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-11.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img267.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-11.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-22.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img361.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-22.eps}">|; 

$key = q/{table}{centering{{footnotesize{{left.array{{c|cccccccccccccc}&phi&A&B&Bbar&C3&C.&.&.&.&.&1&.&1&1H&.&.&.&.&.&.&.&.&.&.&.&.&.&.array{right.{{{{table};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="491" HEIGHT="227" BORDER="0"
 SRC="|."$dir".q|img172.gif"
 ALT="\begin{table}\centering\footnotesize$\left .\begin{array}{c\vert cccccccccccccc}...
...&amp; . &amp; . &amp; . &amp; . &amp; . &amp; . &amp; . &amp; . &amp; . &amp; . &amp; . \\\\
\end{array} \right. $\end{table}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-9.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img104.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-9.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-42.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img439.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-42.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-33.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img205.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-33.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-38.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img377.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-38.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-19.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img331.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-19.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-58.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img456.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-58.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-49.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img221.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-49.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-11.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img157.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-11.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-5.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img343.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-5.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-30a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img538.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-30a.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-43.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img552.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-43.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-15.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img578.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-15.eps}">|; 

$key = q/2r+1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.gif"
 ALT="$ 2r+1$">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img94.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisions-C2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img82.gif"
 ALT="\includegraphics[width=4.5in]{images/collisions-C2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-20.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img276.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-20.eps}">|; 

$key = q/includegraphics[width=3in]{imagesslashT4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="336" HEIGHT="273" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img23.gif"
 ALT="\includegraphics[width=3in]{images/T4.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-12.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img324.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-12.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-31.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img370.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-31.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img507.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-51.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img448.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-51.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-42.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img214.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-42.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagesslashglider-E-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="395" HEIGHT="669" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img59.gif"
 ALT="\includegraphics[width=3.5in]{images/glider-E-4.eps}">|; 

$key = q/includegraphics[width=2.3in]{imagesslashglider-Ha.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="261" HEIGHT="419" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img74.gif"
 ALT="\includegraphics[width=2.3in]{images/glider-Ha.eps}">|; 

$key = q/includegraphics[width=4in]{imagesslashglider-gun.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="449" HEIGHT="579" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img76.gif"
 ALT="\includegraphics[width=4in]{images/glider-gun.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-47.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img387.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-47.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-19.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img415.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-19.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-58.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img230.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-58.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-20.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img166.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-20.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar8-7.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img251.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar8-7.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-16.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img111.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-16.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img316.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-4.eps}">|; 

$key = q/includegraphics[width=4in]{imagesslashglider-C3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="446" HEIGHT="289" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img45.gif"
 ALT="\includegraphics[width=4in]{images/glider-C3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-24.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img588.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-24.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisions-D1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img84.gif"
 ALT="\includegraphics[width=4.5in]{images/collisions-D1.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-21.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img333.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-21.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-40.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img380.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-40.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-12.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img408.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-12.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-8.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img154.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-8.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-60.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img458.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-60.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-51.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img223.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-51.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-17.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img299.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-17.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-14.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img491.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-14.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-56.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img396.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-56.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-28.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img424.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-28.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-9.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img571.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-9.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-19.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img191.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-19.eps}">|; 

$key = q/includegraphics[width=4in]{imagesslashcollisionsA-d.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="327" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img244.gif"
 ALT="\includegraphics[width=4in]{images/collisionsA-d.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-67.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img239.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-67.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img259.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-25.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img120.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-25.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img400.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-4.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-13.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img517.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-13.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-20a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img584.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-20a.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img176.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-4.eps}">|; 

$key = q/includegraphics[width=4in]{imagesslashglider-D2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="446" HEIGHT="325" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img52.gif"
 ALT="\includegraphics[width=4in]{images/glider-D2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-33.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img597.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-33.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-29.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img535.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-29.eps}">|; 

$key = q/k^{2r+1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img10.gif"
 ALT="$ k^{2r+1}$">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img147.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-1.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-49.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img614.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-49.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-10.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img292.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-10.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisions-Bbar.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img79.gif"
 ALT="\includegraphics[width=4.5in]{images/collisions-Bbar.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img563.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-21.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img417.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-21.eps}">|; 

$key = q/includegraphics[width=4in]{imagesslashglider-E-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="450" HEIGHT="538" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img58.gif"
 ALT="\includegraphics[width=4in]{images/glider-E-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-12.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img184.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-12.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-60.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img232.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-60.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-26.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img310.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-26.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-17.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img356.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-17.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsE-8.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img472.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsE-8.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-23.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img503.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-23.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-37.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img433.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-37.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-28.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img200.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-28.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-34.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img129.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-34.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-22.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img526.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-22.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-42.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img606.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-42.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img480.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-9.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img291.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-9.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisions-Bbar8.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img80.gif"
 ALT="\includegraphics[width=4.5in]{images/collisions-Bbar8.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-38.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img547.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-38.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-10.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img348.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-10.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsE-1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img465.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsE-1.eps}">|; 

$key = q/includegraphics[width=5in]{imagesslashglider-B-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="565" HEIGHT="447" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img32.gif"
 ALT="\includegraphics[width=5in]{images/glider-B-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-30.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img426.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-30.eps}">|; 

$key = q/includegraphics[width=4in]{imagesslashT5.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="452" HEIGHT="577" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img24.gif"
 ALT="\includegraphics[width=4in]{images/T5.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-21.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img193.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-21.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-15.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img271.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-15.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-40a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img437.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-40a.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-26.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img365.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-26.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashglider-G.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="503" HEIGHT="670" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img68.gif"
 ALT="\includegraphics[width=4.5in]{images/glider-G.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-46.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img443.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-46.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-37.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img209.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-37.eps}">|; 

$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="|."$dir".q|img14.gif"
 ALT="$ \varphi(1,0,1) = 1$">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img284.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsE-11.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img476.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsE-11.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-43.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img138.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-43.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-15.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img161.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-15.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-31.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img539.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-31.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-9.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img347.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-9.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-19.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img582.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-19.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-47.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img557.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-47.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashglider-Ebar.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="501" HEIGHT="698" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img60.gif"
 ALT="\includegraphics[width=4.5in]{images/glider-Ebar.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-6.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img101.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-6.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-30.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img202.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-30.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-24.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img280.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-24.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-16.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img328.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-16.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-35.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img374.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-35.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-7.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img511.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-7.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-26b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img312.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-26b.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-55.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img453.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-55.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-46.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img218.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-46.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisions-F.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img88.gif"
 ALT="\includegraphics[width=4.5in]{images/collisions-F.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img340.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-24.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img170.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-24.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-12.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img574.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-12.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-40.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img549.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-40.eps}">|; 

$key = q/k=2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img6.gif"
 ALT="$ k=2$">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-8.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img320.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-8.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-28.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img592.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-28.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-28a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img534.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-28a.eps}">|; 

$key = q/includegraphics[width=5.5in]{imagesslashT2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="623" HEIGHT="228" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img21.gif"
 ALT="\includegraphics[width=5.5in]{images/T2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-25.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img337.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-25.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-44.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img384.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-44.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-16.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img412.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-16.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-64.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img462.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-64.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-55.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img227.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-55.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-4Bb81.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img98.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-4Bb81.eps}">|; 

$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="|."$dir".q|img16.gif"
 ALT="$ \varphi(1,1,0) = 1$">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar8-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img248.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar8-4.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-18.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img495.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-18.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagesslashglider-Bbar8-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="396" HEIGHT="161" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img37.gif"
 ALT="\includegraphics[width=3.5in]{images/glider-Bbar8-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-13.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img108.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-13.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img313.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-1.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-21.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img585.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-21.eps}">|; 

$key = q/includegraphics[width=4in]{imagesslashglider-D1-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="451" HEIGHT="588" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img51.gif"
 ALT="\includegraphics[width=4in]{images/glider-D1-4.eps}">|; 

$key = q/includegraphics[width=1.7in]{imagesslashglider-C2-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="189" HEIGHT="61" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img43.gif"
 ALT="\includegraphics[width=1.7in]{images/glider-C2-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-7.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img263.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-7.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-29.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img124.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-29.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-8.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img404.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-8.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-17.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img521.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-17.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-8.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img180.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-8.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-37.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img601.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-37.eps}">|; 

$key = q/includegraphics[width=4.7in]{imagesslashglider-Bbar.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="524" HEIGHT="691" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img33.gif"
 ALT="\includegraphics[width=4.7in]{images/glider-Bbar.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-5.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img151.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-5.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisions-Ebar.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img87.gif"
 ALT="\includegraphics[width=4.5in]{images/collisions-Ebar.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-14.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img296.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-14.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-11.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img488.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-11.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-6.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img568.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-6.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-53.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img393.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-53.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-25.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img421.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-25.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-16.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img188.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-16.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-64.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img236.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-64.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-22.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img117.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-22.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img397.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-1.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-10.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img514.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-10.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img173.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-1.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-30.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img594.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-30.eps}">|; 

$key = q/includegraphics[width=1.7in]{imagesslashglider-D1-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="190" HEIGHT="72" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img49.gif"
 ALT="\includegraphics[width=1.7in]{images/glider-D1-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-38.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img133.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-38.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-26.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img530.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-26.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-46.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img610.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-46.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-7.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img484.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-7.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-23.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img307.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-23.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-14.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img352.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-14.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsE-5.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img469.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsE-5.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-15a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img354.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-15a.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-20.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img498.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-20.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-34.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img430.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-34.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-25.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img197.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-25.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-19.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img275.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-19.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-31.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img126.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-31.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagesslashglider-C1-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="393" HEIGHT="414" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img41.gif"
 ALT="\includegraphics[width=3.5in]{images/glider-C1-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-6.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img288.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-6.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-47.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img142.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-47.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-19.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img165.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-19.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-35.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img543.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-35.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-12.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img268.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-12.eps}">|; 

$key = q/includegraphics[width=4in]{imagesslashcollisionsBbar-d.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="459" HEIGHT="314" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img171.gif"
 ALT="\includegraphics[width=4in]{images/collisionsBbar-d.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-23.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img362.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-23.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-43.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img440.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-43.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-34.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img206.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-34.eps}">|; 

$key = q/includegraphics[width=3.7in]{imagesslashglider-G-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="420" HEIGHT="301" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img69.gif"
 ALT="\includegraphics[width=3.7in]{images/glider-G-2.eps}">|; 

$key = q/varphi(1,0,0)=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="94" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img12.gif"
 ALT="$ \varphi(1,0,0) = 0$">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-39.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img379.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-39.eps}">|; 

$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="|."$dir".q|img17.gif"
 ALT="$ \varphi(1,1,1) = 0$">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-59.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img457.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-59.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-40.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img135.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-40.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-12.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img158.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-12.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-6.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img344.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-6.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-16.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img579.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-16.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-44.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img553.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-44.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img95.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisions-C3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img83.gif"
 ALT="\includegraphics[width=4.5in]{images/collisions-C3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-21.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img277.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-21.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-13.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img325.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-13.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-32.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img371.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-32.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img508.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-4.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-52.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img449.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-52.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-43.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img215.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-43.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-48.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img388.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-48.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-21.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img167.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-21.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-59.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img231.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-59.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar8-8.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img252.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar8-8.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-17.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img112.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-17.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-5.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img317.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-5.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-25.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img589.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-25.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-4Bb8.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img97.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-4Bb8.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisions-D2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img85.gif"
 ALT="\includegraphics[width=4.5in]{images/collisions-D2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-22.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img334.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-22.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-41.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img381.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-41.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-13.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img409.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-13.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-9.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img155.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-9.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-61.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img459.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-61.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-52.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img224.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-52.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-18.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img300.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-18.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar8-1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img245.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar8-1.eps}">|; 

$key = q/includegraphics[width=4.0in]{imagesslashcollisionsA-d.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="327" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img91.gif"
 ALT="\includegraphics[width=4.0in]{images/collisionsA-d.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-15.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img492.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-15.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-29.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img425.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-29.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-10.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img105.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-10.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-68.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img240.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-68.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img260.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-4.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-26.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="650" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img121.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-26.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-5.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img401.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-5.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-14.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img518.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-14.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-5.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img177.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-5.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-34.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img598.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-34.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img148.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-11.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img293.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-11.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img565.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-50.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img390.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-50.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-22.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img418.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-22.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-13.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img185.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-13.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-61.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img233.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-61.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagesslashglider-F-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="395" HEIGHT="691" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img67.gif"
 ALT="\includegraphics[width=3.5in]{images/glider-F-4.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-18.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img357.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-18.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsE-9.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img473.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsE-9.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-24.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img504.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-24.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-38.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img434.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-38.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-29.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img201.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-29.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-35.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="650" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img130.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-35.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-23.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img527.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-23.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-43.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img607.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-43.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img481.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-4.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar8-10.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img254.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar8-10.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-39.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img548.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-39.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagesslashcollisionsA.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="393" HEIGHT="506" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img77.gif"
 ALT="\includegraphics[width=3.5in]{images/collisionsA.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-20.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img302.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-20.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-11.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img349.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-11.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsE-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img466.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsE-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-31.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img427.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-31.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-22.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img194.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-22.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-16.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img272.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-16.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-70.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img242.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-70.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-27.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img366.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-27.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-47.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img444.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-47.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-38.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img210.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-38.eps}">|; 

$key = q/includegraphics[width=4in]{imagesslashcollisionsB-d.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="460" HEIGHT="304" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img146.gif"
 ALT="\includegraphics[width=4in]{images/collisionsB-d.eps}">|; 

$key = q/includegraphics[width=4.9in]{imagesslashglider-H.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="553" HEIGHT="709" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img73.gif"
 ALT="\includegraphics[width=4.9in]{images/glider-H.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsE-12.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img477.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsE-12.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img285.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-44.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img139.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-44.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-16.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img162.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-16.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-32.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img540.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-32.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-48.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img558.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-48.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-20.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img359.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-20.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-7.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img102.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-7.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-40.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img436.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-40.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-25.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img281.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-25.eps}">|; 

$key = q/includegraphics[width=4.7in]{imagesslashglider-A.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="531" HEIGHT="425" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img27.gif"
 ALT="\includegraphics[width=4.7in]{images/glider-A.eps}">|; 

$key = q/includegraphics[width=4in]{imagesslashglider-F-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="451" HEIGHT="624" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img66.gif"
 ALT="\includegraphics[width=4in]{images/glider-F-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-31.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img203.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-31.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-8.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img512.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-8.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-36.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img375.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-36.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-17.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img329.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-17.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-56.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img454.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-56.eps}">|; 

$key = q/includegraphics[width=3.7in]{imagesslashglider-G-3a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="421" HEIGHT="677" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img71.gif"
 ALT="\includegraphics[width=3.7in]{images/glider-G-3a.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-47.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img219.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-47.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisions-G.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="503" HEIGHT="667" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img89.gif"
 ALT="\includegraphics[width=4.5in]{images/collisions-G.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img341.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-41.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img550.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-41.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-13.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img575.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-13.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-9.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img321.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-9.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-29.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img593.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-29.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img505.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-1.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-10.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img322.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-10.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-40.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img212.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-40.eps}">|; 

$key = q/includegraphics[width=5.5in]{imagesslashT3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="623" HEIGHT="234" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img22.gif"
 ALT="\includegraphics[width=5.5in]{images/T3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-17.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img413.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-17.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-45.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img385.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-45.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-26.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img338.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-26.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-65.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img463.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-65.eps}">|; 

$key = q/r;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img4.gif"
 ALT="$ r$">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-56.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img228.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-56.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-4Bb82.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img99.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-4Bb82.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-19.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img496.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-19.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar8-5.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img249.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar8-5.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-19a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img497.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-19a.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-14.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img109.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-14.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC3-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img314.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC3-2.eps}">|; 

$key = q/includegraphics[width=4in]{imagesslashglider-C1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="446" HEIGHT="326" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img39.gif"
 ALT="\includegraphics[width=4in]{images/glider-C1.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-50.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img560.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-50.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-22.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img586.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-22.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-8.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img264.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-8.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-18.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img522.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-18.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-9.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img405.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-9.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-9.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img181.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-9.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-29a.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img536.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-29a.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-38.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img602.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-38.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-10.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img406.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-10.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-6.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img152.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-6.eps}">|; 

$key = q/varphi;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img3.gif"
 ALT="$ \varphi$">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-15.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img297.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-15.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-12.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img489.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-12.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-26.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img422.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-26.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-54.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img394.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-54.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-7.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img569.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-7.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-17.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img189.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-17.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-65.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img237.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-65.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img257.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-1.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-23.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img118.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-23.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-11.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img515.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-11.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img398.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img174.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-31.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img595.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-31.eps}">|; 

$key = q/includegraphics[width=3.7in]{imagesslashether.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="413" HEIGHT="276" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img25.gif"
 ALT="\includegraphics[width=3.7in]{images/ether.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-39.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img134.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-39.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-27.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img531.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-27.eps}">|; 

$key = q/{table}{centering{{footnotesize{{left.array{{c|cccccccccccccc}&phi&A&B&Bbar&C3&C.&.&.&.&.&.&.&.&.H&.&.&.&.&.&.&.&.&.&.&.&.&.&.array{right.{{{{table};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="491" HEIGHT="227" BORDER="0"
 SRC="|."$dir".q|img92.gif"
 ALT="\begin{table}\centering\footnotesize$\left .\begin{array}{c\vert cccccccccccccc}...
...&amp; . &amp; . &amp; . &amp; . &amp; . &amp; . &amp; . &amp; . &amp; . &amp; . &amp; . \\\\
\end{array} \right. $\end{table}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-8.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img485.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-8.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagesslashtiles-1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="395" HEIGHT="536" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img19.gif"
 ALT="\includegraphics[width=3.5in]{images/tiles-1.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-47.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img612.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-47.eps}">|; 

$key = q/c_{i};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.gif"
 ALT="$ c_{i}$">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-10.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img182.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-10.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsE-6.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img470.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsE-6.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-15.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img353.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-15.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-24.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img308.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-24.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-21.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img499.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-21.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-35.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img431.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-35.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-26.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img198.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-26.eps}">|; 

$key = q/includegraphics[width=3.5in]{imagesslashglider-G-3b.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="398" HEIGHT="686" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img72.gif"
 ALT="\includegraphics[width=3.5in]{images/glider-G-3b.eps}">|; 

$key = q/varphi(0,0,1)=1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="94" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img13.gif"
 ALT="$ \varphi(0,0,1) = 1$">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-32.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img127.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-32.eps}">|; 

$key = q/includegraphics[width=0.4in]{imagesslashether-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="38" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img26.gif"
 ALT="\includegraphics[width=0.4in]{images/ether-2.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-20.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img524.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-20.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsEbar-1.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img478.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsEbar-1.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsG-40.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img604.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsG-40.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC2-7.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img289.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC2-7.eps}">|; 

$key = q/includegraphics[width=1.7in]{imagesslashglider-C3-2.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="189" HEIGHT="56" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img46.gif"
 ALT="\includegraphics[width=1.7in]{images/glider-C3-2.eps}">|; 

$key = q/includegraphics[width=4in]{imagesslashglider-D2-4.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="451" HEIGHT="519" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img55.gif"
 ALT="\includegraphics[width=4in]{images/glider-D2-4.eps}">|; 

$key = q/includegraphics[width=5in]{imagesslashglider-Bbar-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="563" HEIGHT="625" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img35.gif"
 ALT="\includegraphics[width=5in]{images/glider-Bbar-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-48.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img143.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-48.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsF-36.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img544.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsF-36.eps}">|; 

$key = q/phi;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img1.gif"
 ALT="$ \phi $">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsC1-13.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img269.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsC1-13.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD1-24.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img363.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD1-24.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsD2-44.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img441.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsD2-44.eps}">|; 

$key = q/includegraphics[width=4.7in]{imagesslashglider-E.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="524" HEIGHT="555" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img56.gif"
 ALT="\includegraphics[width=4.7in]{images/glider-E.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsBbar-35.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img207.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsBbar-35.eps}">|; 

$key = q/includegraphics[width=3.7in]{imagesslashglider-G-3.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="421" HEIGHT="714" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img70.gif"
 ALT="\includegraphics[width=3.7in]{images/glider-G-3.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsA-41.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img136.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsA-41.eps}">|; 

$key = q/includegraphics[width=4.5in]{imagesslashcollisionsB-13.eps};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="505" HEIGHT="651" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img159.gif"
 ALT="\includegraphics[width=4.5in]{images/collisionsB-13.eps}">|; 

1;

