# LaTeX2HTML 2022 (Released January 1, 2022)
# Associate images original text with physical files.
$key = q/sqrt{{x}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img3.png"
 ALT="$\sqrt{{x}}$">|; 
$key = q/sqrt{{{mbox{real}(x)^{2}+mbox{imag}(x)^{2}}}};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 STYLE="" SRC="|."$dir".q|img2.png"
 ALT="$\sqrt{{{\mbox{real}(x)^{2} +
\mbox{imag}(x)^{2}}}}$">|; 
$key = q/{center}vbox{input{titlepage.tex}}{center};AAT/;
$cached_env_img{$key} = q|<IMG
  STYLE="" SRC="|."$dir".q|img1.png"
 ALT="\begin{center}\vbox{\input{titlepage.tex}
}\end{center}">|;