convert docs for more fixes

\documentclass[24pt]{article}

\pagestyle{empty}

\Huge

\begin{document}

\mathchardef\mhyphen="2D

% The imaginary unit

\providecommand*{\iu}%

	{\ensuremath{{\rm i}}}

\begin{eqnarray*}

\exp \left(\iu{} L \Delta t \right) &=&

\exp \left(\iu{} L_{\rm T\mhyphen baro} \frac{\Delta t}{2} \right)

\exp \left(\iu{} L_{\rm T\mhyphen part} \frac{\Delta t}{2} \right)

\exp \left(\iu{} L_{\epsilon , 2} \frac{\Delta t}{2} \right)

\exp \left(\iu{} L_{2}^{(2)} \frac{\Delta t}{2} \right) \\

&&\times \left[ 

\exp \left(\iu{} L_{2}^{(1)} \frac{\Delta t}{2n} \right)

\exp \left(\iu{} L_{\epsilon , 1} \frac{\Delta t}{2n} \right)

\exp \left(\iu{} L_1 \frac{\Delta t}{n} \right)

\exp \left(\iu{} L_{\epsilon , 1} \frac{\Delta t}{2n} \right)

\exp \left(\iu{} L_{2}^{(1)} \frac{\Delta t}{2n} \right)

\right]^n \\

&&\times

\exp \left(\iu{} L_{2}^{(2)} \frac{\Delta t}{2} \right)

\exp \left(\iu{} L_{\epsilon , 2} \frac{\Delta t}{2} \right) 

\exp \left(\iu{} L_{\rm T\mhyphen part} \frac{\Delta t}{2} \right) 

\exp \left(\iu{} L_{\rm T\mhyphen baro} \frac{\Delta t}{2} \right) \\

&&+ \mathcal{O} \left(\Delta t^3 \right)

\end{eqnarray*}

\end{document}

\newcommand{\br}{\mathbf{r}}

\documentclass[12pt]{article}

\begin{document}

\begin{equation}

  \xi_{i} = \sum_{j=1}^{12} \left| \br_{j} - \br_{j}^{\rm I} \right|

\end{equation}

\begin{equation}

  \xi_{\rm IJ} = \sum_{j=1}^{12} \left| \br_{j}^{\rm J} - \br_{j}^{\rm I} \right|

\end{equation}

\begin{eqnarray}

  \xi_{\rm low} &=& {\rm cutlo} \, \xi_{\rm IJ}  \\

  \xi_{\rm high} &=& {\rm cuthi} \, \xi_{\rm IJ}

\end{eqnarray}

\begin{eqnarray}

  \omega_{i} &=& \frac{\pi}{2} 

       \frac{\xi_{i} - \xi_{\rm low}}{\xi_{\rm high} - \xi_{\rm low}} \\

      \mbox{\hspace*{72pt}}  \nonumber \\

  u_{i} &=& 0 \mbox{\hspace{84pt} for } \xi_{i} < \xi_{\rm low}  \nonumber \\

        &=& {\rm dE}\,\frac{1 - \cos(2 \omega_{i})}{2}

              \mbox{\hspace{10pt}  for } \xi_{\rm low} < \xi_{i} < \xi_{\rm high}  \\

        &=& {\rm dE} \mbox{\hspace{80pt} for } \xi_{\rm high} < \xi_{i}

                                                                \nonumber

\end{eqnarray}

\end{document}