\batchmode
\documentclass{article}
\makeatletter
\usepackage{amssymb}



\def\trace{{\rm trace}}

\def\la{\lambda}

\makeatother
\newenvironment{tex2html_wrap}{}{}
\newwrite\lthtmlwrite
\def\lthtmltypeout#1{{\let\protect\string\immediate\write\lthtmlwrite{#1}}}%
\newbox\sizebox
\begin{document}
\pagestyle{empty}
{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\Delta$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline23: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$p_t(x,y)$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline25: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\frac{\partial
 u}{\partial t}=\Delta u$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline27: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$p_t(\cdot,y)$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline31: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$\left(\frac{1}{t}+\frac{dist(x,y)^2}{T^2}\right)^{\frac{n}{2}},$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline35: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

{\newpage
\clearpage
\samepage \setbox\sizebox=\hbox{$t\in(0,1]$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline37: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
}

\stepcounter{section}

\end{document}