Unverified Commit f54ad096 authored by Axel Kohlmeyer's avatar Axel Kohlmeyer
Browse files

recreate missing LaTeX files for image-only equations

parent 599ef781
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\documentclass[12pt]{article}

\pagestyle{empty}
\begin{document}

$$
  E_{a} = K_2\left(\theta - \theta_0\right)^2 + K_3\left(\theta - \theta_0\right)^3 + K_4\left(\theta - \theta_0\right)^4 + K_5\left(\theta - \theta_0\right)^5 + K_6\left(\theta - \theta_0\right)^6
$$

\end{document}

%%% Local Variables:
%%% mode: latex
%%% TeX-master: t
%%% End:
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\documentclass[12pt]{article}

\pagestyle{empty}
\begin{document}

$$
  E = K \left[ 1 + \cos(n\theta - \theta_0)\right]
$$

\end{document}

%%% Local Variables:
%%% mode: latex
%%% TeX-master: t
%%% End:
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Original line number Diff line number Diff line
\documentclass[12pt]{article}

\pagestyle{empty}
\begin{document}

$$
  E = K \left(\theta - \theta_0\right)^2
$$

\end{document}

%%% Local Variables:
%%% mode: latex
%%% TeX-master: t
%%% End:
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\documentclass[12pt]{article}

\pagestyle{empty}
\begin{document}

\begin{eqnarray*}
  F_i^u & = & \sum_t^{N_t}\alpha_t \cdot \exp\left[-\frac{\left(d_{i,t}^u\right)^2}{2l^2}\right] \\
  d_{i,t}^u & = & \left|\left| V_i^u(\eta) - V_t^u(\eta) \right|\right| \\
  V_i^u(\eta) & = & \sum_{j \neq i}\frac{r^u_{ij}}{r_{ij}} \cdot e^{-\left(\frac{r_{ij}}{\eta} \right)^2} \cdot f_d\left(r_{ij}\right) \\
  f_d\left(r_{ij}\right) & = & \frac{1}{2} \left[\cos\left(\frac{\pi r_{ij}}{R_c}\right) + 1 \right]
\end{eqnarray*}

\end{document}

%%% Local Variables:
%%% mode: latex
%%% TeX-master: t
%%% End:
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\documentclass[12pt]{article}

\begin{document}
\pagestyle{empty}

\begin{eqnarray*}
  E = A e^{-\kappa r} - \frac{C}{r^6} \cdot \frac{1}{1 + D r^{14}} \qquad r < r_c \\
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