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git-svn-id: svn://svn.icms.temple.edu/lammps-ro/trunk@8407 f3b2605a-c512-4ea7-a41b-209d697bcdaa

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sjplimp 2012-06-27 14:44:40 +00:00
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doc/Eqs/pair_bop.tex
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\begin{document}
$$
E = \frac{1}{2} \sum_{i=1}^{N} \sum_{j=i_1}^{i_N} \phi_{ij} \left\( r_{ij} \right\) - \sum_{i=1}^{N} \sum_{j=i_1}^{i_N} \beta_{\sigma,ij} \left\( r_{ij} \right\) \cdot \Theta_{\sigma,ij} - \sum_{i=1}^{N} \sum_{j=i_1}^{i_N} \beta_{\pi,ij} \left\( r_{ij} \right\) \cdot \Theta_{\pi,ij} + U_{prom}
E = \frac{1}{2} \sum_{i=1}^{N} \sum_{j=i_1}^{i_N} \phi_{ij} \left( r_{ij} \right) - \sum_{i=1}^{N} \sum_{j=i_1}^{i_N} \beta_{\sigma,ij} \left( r_{ij} \right) \cdot \Theta_{\sigma,ij} - \sum_{i=1}^{N} \sum_{j=i_1}^{i_N} \beta_{\pi,ij} \left( r_{ij} \right) \cdot \Theta_{\pi,ij} + U_{prom}
$$
\end{document}