\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
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(X) \rightarrow C^{\infty}(X)$}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline35: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
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{\newpage
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{\newpage
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{\newpage
\clearpage
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{\newpage
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{\newpage
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{\newpage
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{\newpage
\clearpage
\samepage \begin{displaymath}{\rm trace}(P_\lambda B P_\lambda)^k=\\ 
c_{k,d}(B) \la^d + c_{k,d-1}(B)\la^{d-1}
 + c_{k,d-2}(B) \la^{d-2}\ +\ \dots,\end{displaymath}
}

{\newpage
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{\newpage
\clearpage
\samepage \begin{displaymath}{\rm trace}\log  P_{\lambda} B P_{\lambda} = \\ 
 c_{d}(B) \la^d + c_{d-1}(B)\la^{d-1}  + \dots 
 + c_{1}(B)\lambda +  c(B)\log \lambda +  c_0(B) + c_{-1}(B)\la^{-1} + \dots\hfill(*)
\end{displaymath}
}

{\newpage
\clearpage
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{\newpage
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{\newpage
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\stepcounter{section}

\end{document}