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


\makeatletter












\makeatother


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\makeatother
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\begin{document}
\pagestyle{empty}
\setcounter{secnumdepth}{3}
\setcounter{tocdepth}{3}
{\newpage
\clearpage
\samepage \( \sigma \sim \frac{F}{W} \)
}

{\newpage
\clearpage
\samepage \( \sigma \sim \frac{2F}{W} \)
}

{\newpage
\clearpage
\samepage \( \sigma _{avg}L^{2} \)
}

{\newpage
\clearpage
\samepage \( \sigma ^{2}_{end}R\sim \sigma ^{2}_{avg}L \)
}

{\newpage
\clearpage
\samepage \( \sigma _{y}\sim \sqrt{\frac{a}{L}}\mu \sim 2*10^{-4}\sqrt{\frac{L}{1cm}}\mu  \)
}

{\newpage
\clearpage
\samepage \( \gamma L<L^{2}\frac{\sigma ^{2}}{\mu } \)
}

{\newpage
\clearpage
\samepage \( L>\frac{\gamma \mu }{\sigma ^{2}} \)
}

{\newpage
\clearpage
\samepage \( \Rightarrow L>\frac{a}{\epsilon ^{2}} \)
}

{\newpage
\clearpage
\samepage \( \epsilon >\sqrt{\frac{a}{L}} \)
}

{\newpage
\clearpage
\samepage \( \gamma ->W \)
}

{\newpage
\clearpage
\samepage \( (10^{4}-10^{6})\gamma  \)
}

{\newpage
\clearpage
\samepage \( \sigma _{end}>>\sigma _{y} \)
}

{\newpage
\clearpage
\samepage \( \frac{W\mu }{\sigma ^{2}} \)
}

{\newpage
\clearpage
\samepage \( W=6*10^{3}erg/cm^{2} \)
}

{\newpage
\clearpage
\samepage \( \epsilon >.5\sqrt{\frac{a}{L}} \)
}

{\newpage
\clearpage
\samepage \( W=10^{8}erg/cm^{2} \)
}

{\newpage
\clearpage
\samepage \( \epsilon >60\sqrt{\frac{a}{L}} \)
}

{\newpage
\clearpage
\samepage \( \frac{E}{length}\sim \frac{\sigma ^{2}}{2\mu }L^{2}+2WL+\rho L^{2}v^{2} \)
}

{\newpage
\clearpage
\samepage \( v\rightarrow 0 \)
}

{\newpage
\clearpage
\samepage \( v=v_{max}(1-\frac{L_{g}}{L})^{\frac{1}{2}} \)
}

{\newpage
\clearpage
\samepage \( v\sim .2c_{s} \)
}


\end{document}