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

	\begin{document}

	$$
	E_{Pauli} = \sum\limits_{\sigma _i = \sigma _j } {E\left( { \uparrow \uparrow } \right)_{ij}} + \sum\limits_{\sigma _i \ne \sigma _j } {E\left( { \uparrow \downarrow } \right)_{ij}}
	$$

	\end{document}