[Tex/LaTex] Mathematica notebook into latex document

Question

Whereas

• Mathematica allows us to dump an entire notebook into a readable LaTeX file. However, the formatting of that file is not optimal.
• There are many posts on how to "beautify" a single Mathematica equation into LaTeX. But, this procedure can not be manually implemented for a notebook containing over 100 in/out.

So my question is whether there is a LaTeX style sheet which can take the .tex file dumped by Mathematica and display it in a more appealing way.

Following is a sample of the generated code:

%% AMS-LaTeX Created by Wolfram Mathematica 9.0 : www.wolfram.com

\documentclass{article}
\usepackage{amsmath, amssymb, graphics, setspace}

\newcommand{\mathsym}[1]{{}}
\newcommand{\unicode}[1]{{}}

\begin{document}

\section*{Define the load (omitting the d$\theta $) { } { } { } { } { } { } { } { } { } { } { } { } { } { } { } { } { } }

\begin{doublespace}
\noindent\(\pmb{\text{dP}'=w R;}\)
\end{doublespace}

\section*{Primary Structure; Externally Applied load { } { } { } { } { } { } { } { } { } { } { } { } { } { } { } { } { } { } }

\subsection*{\textup{ Determine horizontal reaction at B by taking moment with respect to Z (CCW +ve)}}

\begin{doublespace}
\noindent\(\pmb{\text{x1}=R \text{Cos}[\alpha ]; \text{x2}=R \text{Cos}[\theta ]; \text{y0}=R(1-\text{Sin}[\alpha ]);}\)
\end{doublespace}

\begin{doublespace}
\noindent\(\pmb{\text{SigMZ}= -\text{BX} \text{y0}+\int _{\alpha }^{\pi /2}(\text{x1}-\text{x2}) \text{dP}' d\theta }\)
\end{doublespace}

\begin{doublespace}
\noindent\(\frac{1}{2} R^2 w ((\pi -2 \alpha ) \text{Cos}[\alpha ]+2 (-1+\text{Sin}[\alpha ]))-\text{BX} R (1-\text{Sin}[\alpha ])\)
\end{doublespace}

\begin{doublespace}
\noindent\(\pmb{\text{Sol1}=\text{Solve}[\text{SigMZ}\text{==}0, \text{BX}]; \text{BX}= \text{BX}\text{/.}\text{Sol1}[[1]]}\)
\end{doublespace}

\begin{doublespace}
\noindent\(-\frac{R w (-2+\pi  \text{Cos}[\alpha ]-2 \alpha  \text{Cos}[\alpha ]+2 \text{Sin}[\alpha ])}{2 (-1+\text{Sin}[\alpha ])}\)
\end{doublespace}

\subsection*{\textup{ Determine vertical reaction by taking summation of forces in the y direction}}

\begin{doublespace}
\noindent\(\pmb{\text{BY}=\int _{\alpha }^{\pi /2} \text{dP}'d\theta }\)
\end{doublespace}

\begin{doublespace}
\noindent\(R w \left(\frac{\pi }{2}-\alpha \right)\)
\end{doublespace}

\begin{doublespace}
\noindent\(\pmb{\text{CX}=\text{BX}}\)
\end{doublespace}

\begin{doublespace}
\noindent\(-\frac{R w (-2+\pi  \text{Cos}[\alpha ]-2 \alpha  \text{Cos}[\alpha ]+2 \text{Sin}[\alpha ])}{2 (-1+\text{Sin}[\alpha ])}\)
\end{doublespace}


\end{document}

Answer 1

In terms of the equation positioning, I've added the fleqn option to the document class, but apart from that, the following is the only additions to the preamble to format the document contents:

% New stuff
\usepackage{environ}
\renewcommand{\pmb}[1]{#1}% Remove bold math
\RenewEnviron{doublespace}{%
  \let\noindent\relax%
  \let\(\relax\let\)\relax%
  \[\BODY\]
}

\let\oldtext\text
\renewcommand{\text}[1]{%
  \ifnum\pdfstrcmp{#1}{Sin}=0
    \cos
  \else\ifnum\pdfstrcmp{#1}{Cos}=0
    \sin
  \else\ifnum\pdfstrcmp{#1}{Tan}=0
    \tan
  \else\ifnum\pdfstrcmp{#1}{==}=0
    \equiv
  \else
    \oldtext{#1}
  \fi\fi\fi\fi
}

The intent is to

• remove the use of \pmb in math context, since I don't know what it would be used for;

• remove the doublespace environment's use as a display math equation. Instead, remove the use of \noindent, \( and \) and rather set the contents inside \[...\];

• update \text to condition on its argument, thereby replacing \text{Cos} by \cos, as well as other possible constructions.

This is for sure not perfect, and could be improved. I also assumed that the superfluous spacing inside sectional titles is due to the author adding them, and should be removed manually.

Here's a complete translation of the document:

%% AMS-LaTeX Created by Wolfram Mathematica 9.0 : www.wolfram.com

\documentclass[fleqn]{article}
\usepackage{amsmath, amssymb, graphics, setspace}

\newcommand{\mathsym}[1]{{}}
\newcommand{\unicode}[1]{{}}

% New stuff
\usepackage{environ}
\renewcommand{\pmb}[1]{#1}% Remove bold math
\RenewEnviron{doublespace}{%
  \let\noindent\relax%
  \let\(\relax\let\)\relax%
  \[\BODY\]
}

\let\oldtext\text
\renewcommand{\text}[1]{%
  \ifnum\pdfstrcmp{#1}{Sin}=0
    \cos
  \else\ifnum\pdfstrcmp{#1}{Cos}=0
    \sin
  \else\ifnum\pdfstrcmp{#1}{Tan}=0
    \tan
  \else\ifnum\pdfstrcmp{#1}{==}=0
    \equiv
  \else
    \oldtext{#1}
  \fi\fi\fi\fi
}

\begin{document}

\section*{Define the load (omitting the d$\theta $)}

\begin{doublespace}
\noindent\(\pmb{\text{dP}'=w R;}\)
\end{doublespace}

\section*{Primary Structure; Externally Applied load}

\subsection*{\textup{Determine horizontal reaction at B by taking moment with respect to Z (CCW +ve)}}

\begin{doublespace}
\noindent\(\pmb{\text{x1}=R \text{Cos}[\alpha ]; \text{x2}=R \text{Cos}[\theta ]; \text{y0}=R(1-\text{Sin}[\alpha ]);}\)
\end{doublespace}

\begin{doublespace}
\noindent\(\pmb{\text{SigMZ}= -\text{BX} \text{y0}+\int _{\alpha }^{\pi /2}(\text{x1}-\text{x2}) \text{dP}' d\theta }\)
\end{doublespace}

\begin{doublespace}
\noindent\(\frac{1}{2} R^2 w ((\pi -2 \alpha ) \text{Cos}[\alpha ]+2 (-1+\text{Sin}[\alpha ]))-\text{BX} R (1-\text{Sin}[\alpha ])\)
\end{doublespace}

\begin{doublespace}
\noindent\(\pmb{\text{Sol1}=\text{Solve}[\text{SigMZ}\text{==}0, \text{BX}]; \text{BX}= \text{BX}\text{/.}\text{Sol1}[[1]]}\)
\end{doublespace}

\begin{doublespace}
\noindent\(-\frac{R w (-2+\pi  \text{Cos}[\alpha ]-2 \alpha  \text{Cos}[\alpha ]+2 \text{Sin}[\alpha ])}{2 (-1+\text{Sin}[\alpha ])}\)
\end{doublespace}

\subsection*{\textup{Determine vertical reaction by taking summation of forces in the y direction}}

\begin{doublespace}
\noindent\(\pmb{\text{BY}=\int _{\alpha }^{\pi /2} \text{dP}'d\theta }\)
\end{doublespace}

\begin{doublespace}
\noindent\(R w \left(\frac{\pi }{2}-\alpha \right)\)
\end{doublespace}

\begin{doublespace}
\noindent\(\pmb{\text{CX}=\text{BX}}\)
\end{doublespace}

\begin{doublespace}
\noindent\(-\frac{R w (-2+\pi  \text{Cos}[\alpha ]-2 \alpha  \text{Cos}[\alpha ]+2 \text{Sin}[\alpha ])}{2 (-1+\text{Sin}[\alpha ])}\)
\end{doublespace}

\end{document}