# LaTeX2HTML 99.1 release (March 30, 1999)
# Associate images original text with physical files.


$key = q/mathcal{Q}:;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img27.gif"
 ALT="$ \mathcal{Q}\: $">|; 

$key = q/;lambda_1>0,;lambda_2>0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="130" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img32.gif"
 ALT="$ \;\lambda_1&gt;0,\;\lambda_2&gt;0$">|; 

$key = q/displaystyleqquad;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img11.gif"
 ALT="$\displaystyle \qquad$">|; 

$key = q/;lambda_1x^2+lambda_2y^2=2bz;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="158" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="img31.gif"
 ALT="$ \;\lambda_1x^2+\lambda_2y^2=2bz$">|; 

$key = q/displaystylea_1=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="57" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img13.gif"
 ALT="$\displaystyle a_1=0$">|; 

$key = q/;detmathcal{A}=-1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="100" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img4.gif"
 ALT="$ \;det\mathcal{A}=-1 $">|; 

$key = q/:h<1:;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img36.gif"
 ALT="$ \:h&lt;1\: $">|; 

$key = q/:h>1:;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img33.gif"
 ALT="$ \:h&gt;1\:$">|; 

$key = q/:h<-2slash5;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="88" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img28.gif"
 ALT="$ \:h&lt;-2/5$">|; 

$key = q/displaystyleh=2slash5;quad2slash5<h<1;quadh=1;quadh>1.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="344" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img18.gif"
 ALT="$\displaystyle h=2/5; \quad 2/5&lt;h&lt;1; \quad h=1; \quad h&gt;1.
$">|; 

$key = q/displaystyleh=2slash5;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img14.gif"
 ALT="$\displaystyle h=2/5$">|; 

$key = q/:-,+,-:;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="74" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img30.gif"
 ALT="$ \:-,+,-\:$">|; 

$key = q/displaystylea_3=-1,quada_2=2+5h,quada_1=4-10h,quada_0=-(5h-5).;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="482" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img9.gif"
 ALT="$\displaystyle a_3=-1,\quad a_2=2+5h,\quad a_1=4-10h,\quad a_0=-(5h-5).
$">|; 

$key = q/{displaymath}mathcal{A}:=left(array{{cccc}1<col_mark>1<col_mark>0<col_mark>0<row>1<col_mark>2<col_mark>5h<row_mark>array{right).{displaymath};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="409" HEIGHT="118" BORDER="0"
 SRC="img3.gif"
 ALT="\begin{displaymath}
\mathcal{A}\: = \left(
\begin{array}{cccc}
1 &amp; 1 &amp; 0 &amp; 0 ...
... \\\\
0 &amp; 1 &amp; 2 \\\\
1 &amp; 2 &amp; 5h \\\\
\end{array}
\right).
\end{displaymath}">|; 

$key = q/;lambda_1>0,;lambda_2>0,;lambda_3<0.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="201" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img23.gif"
 ALT="$ \;\lambda_1&gt;0,\;\lambda_2&gt;0,\;\lambda_3&lt;0.$">|; 

$key = q/:mathcal{A}_0:;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img7.gif"
 ALT="$ \:\mathcal{A}_0\:$">|; 

$key = q/:mathcal{A}_0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img6.gif"
 ALT="$ \:\mathcal{A}_0$">|; 

$key = q/displaystyle-lambda^3+(2+5h)lambda^2+(4-10h)lambda+(5h-5).;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="353" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="img8.gif"
 ALT="$\displaystyle -\lambda^3+(2+5h)\lambda^2+(4-10h)\lambda+(5h-5).
$">|; 

$key = q/displaystyleh=1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img12.gif"
 ALT="$\displaystyle h=1$">|; 

$key = q/;c=-detmathcal{A}slashdetmathcal{A}_0=1slashlambda_1lambda_2lambda_3<0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="289" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img24.gif"
 ALT="$ \;c=-det\mathcal{A}/det\mathcal{A}_0=1/\lambda_1\lambda_2\lambda_3&lt;0$">|; 

$key = q/;c=-detmathcal{A}slashdetmathcal{A}_0=1slashlambda_1lambda_2lambda_3>0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="289" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img35.gif"
 ALT="$ \;c=-det\mathcal{A}/det\mathcal{A}_0=1/\lambda_1\lambda_2\lambda_3&gt;0$">|; 

$key = q/:h;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img2.gif"
 ALT="$ \:h$">|; 

$key = q/;lambda_1x^2+lambda_2y^2+lambda_3z^2=c;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="197" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
 SRC="img22.gif"
 ALT="$ \;\lambda_1x^2+\lambda_2y^2+\lambda_3z^2=c$">|; 

$key = q/displaystylea_0=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="57" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img10.gif"
 ALT="$\displaystyle a_0=0$">|; 

$key = q/:-2slash5<h<2slash5:;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="145" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img25.gif"
 ALT="$ \:-2/5&lt;h&lt;2/5\:$">|; 

$key = q/displaystylea_2=0;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="57" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img15.gif"
 ALT="$\displaystyle a_2=0$">|; 

$key = q/displaystyleh<-2slash5;quadh=-2slash5;quad-2slash5<h<2slash5;;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="354" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img17.gif"
 ALT="$\displaystyle h&lt;-2/5; \quad h=-2/5; \quad -2/5&lt;h&lt;2/5; $">|; 

$key = q/:h<-2slash5:;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="92" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img19.gif"
 ALT="$ \:h&lt;-2/5\: $">|; 

$key = q/:h=1:;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
 SRC="img29.gif"
 ALT="$ \:h=1\: $">|; 

$key = q/:-,+,-,+;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="93" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img34.gif"
 ALT="$ \:-,+,-,+$">|; 

$key = q/:-,+,+,-;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="93" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img26.gif"
 ALT="$ \:-,+,+,-$">|; 

$key = q/:-,-,+,-;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="93" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img20.gif"
 ALT="$ \:-,-,+,-$">|; 

$key = q/:h>1;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img37.gif"
 ALT="$ \:h&gt;1 $">|; 

$key = q/:mathcal{Q}:;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="img5.gif"
 ALT="$ \:\mathcal{Q}\:$">|; 

$key = q/displaystylemathcal{Q}:,x^2+2xz+y^2+4yz+5hz^2+2x+1=0;;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="377" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="img1.gif"
 ALT="$\displaystyle \mathcal{Q}: \,x^2+2xz+y^2+4yz+5hz^2+2x+1=0;
$">|; 

$key = q/+,+,-;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="65" HEIGHT="33" ALIGN="MIDDLE" BORDER="0"
 SRC="img21.gif"
 ALT="$ +,+,-$">|; 

$key = q/displaystyleh=-2slash5;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="84" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="img16.gif"
 ALT="$\displaystyle h=-2/5$">|; 

1;

