\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 \( LL^{\top }=Id \)
}

{\newpage
\clearpage
\samepage \( \delta x_{i}=\epsilon _{ijk}\delta \theta _{j}x_{k}=i\delta \theta _{i}M_{jik}x_{k} \)
}

{\newpage
\clearpage
\samepage \( M_{i}=i*\begin{array}{ccc}
0 & -\delta _{i3} & \delta _{i2}\\ 
\delta _{i3} & 0 & -\delta _{i1}\\ 
-\delta _{i2} & \delta _{i1} & 0
\end{array}
 \)
}

{\newpage
\clearpage
\samepage \( R=e^{i\theta n_{i}M^{i}} \)
}

{\newpage
\clearpage
\samepage \( n_{i} \)
}

{\newpage
\clearpage
\samepage \( [M_{i},M_{j}]=i\epsilon _{ijk}M_{k} \)
}

{\newpage
\clearpage
\samepage \( L_{i}=Id+i\delta \beta _{i}K_{i} \)
}

{\newpage
\clearpage
\samepage \( K_{i}=-i*\begin{array}{cccc}
0 & \delta _{i1} & \delta _{i2} & \delta _{i3}\\ 
\delta _{i1} & 0 & 0 & 0\\ 
\delta _{i2} & 0 & 0 & 0\\ 
\delta _{i3} & 0 & 0 & 0
\end{array}
 \)
}

{\newpage
\clearpage
\samepage \( L=e^{i\beta _{i}K^{i}} \)
}

{\newpage
\clearpage
\samepage \( [K_{i},K_{j}]=-i\epsilon _{ijk}M_{k} \)
}

{\newpage
\clearpage
\samepage \( [M_{i},K_{j}]=i\epsilon _{ijk}K_{k} \)
}


\end{document}