# LaTeX2HTML 2002 (1.62)
# Associate images original text with physical files.


$key = q/{displaymath}left(array{{c}xyarray{right)=mathrmM_0left(array{{c}x'y'array{right){displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="149" HEIGHT="54" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="\begin{displaymath}
\left(
\begin{array}{c}
x\ y
\end{array}
\right)=\mathrm M_0 \left(
\begin{array}{c}
x'\ y'
\end{array}
\right)
\end{displaymath}">|; 

$key = q/mathrm{A_0};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="$\mathrm{A_0}$">|; 

$key = q/mathrmM_0;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="28" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$\mathrm M_0$">|; 

$key = q/{displaymath}left(array{{ccc}x'&y'&1array{right)left(tabular{{ccc}&multicolumn{23}tabular{right)left(array{{c}x'y'1array{right)={displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="341" HEIGHT="73" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="\begin{displaymath}
\left(
\begin{array}{ccc}
x' &amp; y' &amp; 1
\end{array}
\righ...
... \left(
\begin{array}{c}
x'\ y'\ 1
\end{array}
\right)=
\end{displaymath}">|; 

$key = q/mathrmA;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="$\mathrm A$">|; 

$key = q/mathrmM;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$\mathrm M$">|; 

$key = q/q(x',y')=lambda_{1}(x')^2+lambda_2(y')^2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="212" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$q(x',y')=\lambda_{1}(x')^2+\lambda_2(y')^2$">|; 

$key = q/lambda_1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="$\lambda_1$">|; 

$key = q/{displaymath}mathrmM_0^tA_0M_0=left(array{{cc}lambda_1&00&lambda_2array{right),{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="191" HEIGHT="54" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="\begin{displaymath}
\mathrm M_0^tA_0M_0= \left(
\begin{array}{cc}
\lambda_1 &amp; 0\\\\
0 &amp; \lambda_2
\end{array}
\right),
\end{displaymath}">|; 

$key = q/lambda_2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="$\lambda_2$">|; 

$key = q/mathrmM^{-1}mathrmAmathrmM=mathrmM^tmathrmAmathrmM;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="141" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$\mathrm M^{-1}\mathrm A\mathrm M=\mathrm
M^t\mathrm A\mathrm M$">|; 

$key = q/{displaymath}=lambda_1(x')^2+lambda_2(y')^2+2b_{13}x'+2b_{23}y'+b_{33}=0.vspace{4mm}{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="350" HEIGHT="71" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="\begin{displaymath}
=\lambda_1(x')^2+\lambda_2(y')^2+2b_{13}x'+2b_{23}y'+b_{33}=0.
\vspace{4mm}
\end{displaymath}">|; 

$key = q/{displaymath}left(array{{c}xy1array{right)=left(tabular{{ccc}&multicolumn{2}{c}{0&1tabular{right)left(array{{c}x'y'1array{right){displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="243" HEIGHT="73" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="\begin{displaymath}
\left(
\begin{array}{c}
x\ y\ 1
\end{array}
\right)=...
...
\left(
\begin{array}{c}
x'\ y'\ 1
\end{array}
\right)
\end{displaymath}">|; 

1;

