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Tabellenanhang - Familie Alex, Weingarten

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72 ANHANG O. BEISPIELE LATEX<br />

\hspace*{\fill} (\theequation)\makebox[0pt][l]{\footnotemark}<br />

\footnotetext{Fette Griechen gibt es nur als Gro\3buchstaben.<br />

Die Erzeugung dieser Fu\3note war "ubrigens nicht einfach.}<br />

\vspace{1mm}<br />

\begin{equation}<br />

dE_\omega = V \frac{\hbar}{\pi^2 c^3}\omega^3 \cdot<br />

e ^{-\frac{\hbar \omega} {T}} \cdot d\omega<br />

\end{equation}<br />

\begin{equation}<br />

\oint \vec E\:d\vec s = - \frac {\,\partial}{\partial t}<br />

\int \vec B \:d\vec A<br />

\end{equation}<br />

\begin{equation}<br />

\frac{1}{2 \pi j} \int\limits_{x-j\infty}^{x+j\infty}<br />

e^{ts} \:f(s)\:ds =<br />

\left\{\begin{array}{r@{\quad \mbox{f"ur} \quad}l}<br />

0 & t < 0\\<br />

F(t) & t > 0<br />

\end{array} \right.<br />

\end{equation}<br />

\begin{equation}<br />

{n+1 \choose k} = {n \choose k} + {n \choose k-1}<br />

\end{equation}<br />

\begin{equation}<br />

\mbox{<br />

\fbox{\parbox{60mm}{\begin{displaymath}<br />

\forall x \in {\rm R}: \qquad x^2 \geq 0<br />

\end{displaymath}}}}<br />

\end{equation}<br />

\vspace{1mm}<br />

\begin{equation}<br />

\forall x,y,z \in {\rm M}: \qquad (xRy \wedge xRz)<br />

\Rightarrow y = z<br />

\end{equation}<br />

\begin{equation}<br />

A \cdot B = \overline{\bar A + \bar B}<br />

\end{equation}<br />

\begin{equation}<br />

\rho \cdot \bar{v}_k \cdot \frac{\partial \bar{v}_j}<br />

{\partial{x}_k} = - \frac{\partial \bar{p}}<br />

{\partial x_j} + \frac{\partial}{\partial x_k}<br />

\left( \mu \frac{\partial \bar{v}_j}{\partial x_k}<br />

- \rho\:\overline{v’_k v’_j} \right)<br />

\end{equation}<br />

\begin{equation}<br />

r’ = \frac{\overline{v’_1 v’_2}}{\sqrt{\bar{v’^2_1}}<br />

\: \sqrt{\bar{v’^2_2}}}<br />

\end{equation}

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