git-svn-id: svn://svn.icms.temple.edu/lammps-ro/trunk@8140 f3b2605a-c512-4ea7-a41b-209d697bcdaa

doc/Eqs/improper_cossq.tex

@@ -0,0 +1,9 @@
+\documentclass[12pt]{article}
+
+\begin{document}
+
+$$
+  E = \frac{1}{2} K \cos^2{\left(\chi - \chi_0\right)}
+$$
+
+\end{document}

doc/Eqs/improper_ring.tex

@@ -0,0 +1,12 @@
+\documentclass[12pt]{article}
+
+\begin{document}
+
+\begin{eqnarray*}
+   E & = &\frac{1}{6} K \left(\Delta_{ijl} + \Delta_{ijk} + \Delta_{kjl} \right)^6 \\
+   \Delta_{ijl} & = & \cos{\theta_{ijl} - \cos{\theta_0}} \\
+   \Delta_{ijk} & = & \cos{\theta_{ijk} - \cos{\theta_0}} \\
+   \Delta_{kjl} & = & \cos{\theta_{kjl} - \cos{\theta_0}}
+\end{eqnarray*}
+
+\end{document}