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%%  Ein Beispiel der DANTE-Edition
%%  Mathematiksatz mit LaTeX
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%%  Beispiel 10-05-1 auf Seite 222.
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%%  Copyright (C) 2012 Herbert Voss
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\documentclass[]{exaarticle}
\pagestyle{empty}
\setlength\textwidth{352.81416pt}
\AtBeginDocument{\setlength\parindent{0pt}}
\StartShownPreambleCommands
\usepackage{eucal,amsmath,esint} \newcommand*\Q[2]{\frac{\partial#1}{\partial#2}}
\StopShownPreambleCommands
\begin{document}
The \emph{first theorem of Green} is:
\[
  \underset{\mathcal{G}\quad}\iiint\!\left[u\nabla^{2}v+\left(\nabla u,
  \nabla v\right)\right]d^{3}V=\underset{\mathcal{S}\quad}\oiint u\Q{v}{n}d^{2}A
\]
The \emph{second theorem of Green} is:
\[
  \underset{{\mathcal{G}\quad}}\iiint\!\left[u\nabla^{2}v-v\nabla^{2}u\right]d^{3}V
    =\underset{\mathcal{S}\quad}\oiint\left(u\Q{v}{n}-v\Q{u}{n}\right)d^{2}A
\]
\end{document}
