\batchmode
%
\documentclass[12pt,letterpaper,oneside,onecolumn]{article}
\makeatletter
\usepackage[]{fontenc}
\usepackage[dvips]{epsfig}


\makeatletter












\makeatother


\pagestyle{plain}
\setcounter{secnumdepth}{3}
\setcounter{tocdepth}{3}

\def\LyX{L\kern-.1667em\lower.25em\hbox{Y}\kern-.125emX\spacefactor1000}

\newcommand {\lyxtitle}[1] {\thispagestyle{empty}
\global\@topnum\z@
\section*{\LARGE \centering \sffamily \bfseries \protect#1 }
}

\newcommand {\lyxline}[1]{
{#1 \vspace{1ex} \hrule width \columnwidth \vspace{1ex}}
}

\newenvironment {lyxbibliography}
{
\begin{thebibliography}{99}}
{\end{thebibliography}}

\def\lxq{"}

\newenvironment {lyxcode}
{\list{}{
\rightmargin\leftmargin
\raggedright
\itemsep 0pt
\parsep 0pt
\ttfamily
}\item[]
}
{\endlist}

\newcommand {\lyxlabel}[1]{#1 \hfill}

\newenvironment {lyxlist}[1]
{\begin{list}{}
{\settowidth{\labelwidth}{#1}
\setlength{\leftmargin}{\labelwidth}
\addtolength{\leftmargin}{\labelsep}
\renewcommand  {\makelabel}{\lyxlabel}}}
{\end{list}}

\newcommand {\lyxletterstyle}{
\setlength\parskip{0.7em}
\setlength\parindent{0pt}
}

\newcommand {\lyxaddress}[1]{
\par {\raggedright #1 
\vspace{1.4em}
\noindent\par}
}

\newcommand {\lyxrightaddress}[1]{
\par {\raggedleft \begin{tabular}{l}\ignorespaces
#1
\end{tabular}
\vspace{1.4em}
\par}
}

\newcommand {\lyxformula}[1]{
\begin{eqnarray*}
#1
\end{eqnarray*}
}

\newcommand {\lyxnumberedformula}[1]{
\begin{eqnarray}
#1
\end{eqnarray}
}

\makeatother
\newenvironment{tex2html_wrap}{}{}
\newwrite\lthtmlwrite
\def\lthtmltypeout#1{{\let\protect\string\immediate\write\lthtmlwrite{#1}}}%
\newbox\sizebox
\begin{document}
\pagestyle{empty}
\setcounter{secnumdepth}{3}
\setcounter{tocdepth}{3}
{\newpage
\clearpage
\samepage \( P_{l}(x)=\sum _{k=0}^{[l/2]}(-1)^{k}\frac{(2l+k)!}{2^{l}k!(l-k)!(l-2k)!}x^{l-2k} \)
}

{\newpage
\clearpage
\samepage \( P_{l}(-x)=(-1)^{l}P_{l}(x) \)
}

{\newpage
\clearpage
\samepage \( P_{l}(1)=1 \)
}

{\newpage
\clearpage
\samepage \( (l+1)P_{l+1}-(2l+1)xP_{l}-lP_{l-1}=0 \)
}

{\newpage
\clearpage
\samepage \( \int _{-1}^{1}dxP_{l}(x)P_{l'}(x)=\frac{2}{2l+1}\delta _{ll'} \)
}

{\newpage
\clearpage
\samepage \( P_{l}(x)=\frac{1}{2^{l}l!}\frac{d^{l}}{dx^{l}}(x^{2}-1)^{l} \)
}

{\newpage
\clearpage
\samepage \( P_{l}(x)=A(x^{l}-<P_{l-1}|x^{l}>P_{l-1}-... \)
}

{\newpage
\clearpage
\samepage \( g(t,x)=\frac{1}{\sqrt{1-2xt+t^{2}}}=\sum _{l=0}^{\infty }P_{l}(x)t^{l} \)
}

{\newpage
\clearpage
\samepage \(|\)
}

{\newpage
\clearpage
\samepage \(<\)
}

{\newpage
\clearpage
\samepage \( \Phi (r^{i})=\frac{q}{|r^{i}-r'^{i}|}=\frac{q}{\sqrt{r^{2}+r'^{2}-2r^{i}r'^{i}}}=\frac{q}{r}\frac{1}{\sqrt{1-2\frac{r'}{r}cos(\theta )+\frac{r'^{2}}{r^{2}}}} \)
}

{\newpage
\clearpage
\samepage \( =q\sum _{l=0}^{\infty }P_{l}(cos(\theta ))\frac{r_{>}^{l}}{r^{l+1}_{<}} \)
}

{\newpage
\clearpage
\samepage \( r_{>}=max(r,r') \)
}

{\newpage
\clearpage
\samepage \( r_{<}=min(r,r') \)
}


\end{document}
