git-svn-id: svn://svn.icms.temple.edu/lammps-ro/trunk@14540 f3b2605a-c512-4ea7-a41b-209d697bcdaa

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sjplimp 2016-02-03 21:27:19 +00:00
parent 22961a9267
commit bb11aa3147
8 changed files with 39 additions and 0 deletions

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\documentstyle[12pt]{article}
\pagestyle{empty}
\begin{document}
\begin{eqnarray*}
U^{cond} = \displaystyle\sum_{i=1}^{N} u_{i}^{cond} \\
U^{mech} = \displaystyle\sum_{i=1}^{N} u_{i}^{mech} \\
U = \displaystyle\sum_{i=1}^{N} (u_{i}^{cond} + u_{i}^{mech}) \\
\theta_{avg} = (\frac{1}{N}\displaystyle\sum_{i=1}^{N} \frac{1}{\theta_{i}})^{-1} \\
\end{eqnarray*}
\end{document}

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\documentstyle[12pt]{article}
\pagestyle{empty}
\begin{document}
$$
u_{i} = u^{mech}_{i} + u^{cond}_{i} = C_{V} \theta_{i}
$$
\end{document}

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\documentclass[12pt]{article}
\pagestyle{empty}
\begin{document}
$$
F^C = A \omega_{ij} \qquad \qquad r_{ij} < r_c
$$
\end{document}

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\documentclass[12pt]{article}
\pagestyle{empty}
\begin{document}
$$
\omega_{ij} = 1 - \frac{r_{ij}}{r_{c}}
$$
\end{document}