improper_umbrella.tex
3759b7e2ddc5efficient_neuronet

improper_umbrella.tex
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			\documentclass[12pt]{article}

			\begin{document}

			$$
			E=\frac{1}{2}K\left( \frac{1}{\sin\omega_0}\right) ^2 \left( \cos\omega - \cos\omega_0\right) ^2 \qquad \omega_0 \neq 0^o
			$$

			$$
			E=K\left( 1-cos\omega\right) \qquad \omega_0 = 0^o
			$$

			\end{document}