Tabellenanhang - Familie Alex, Weingarten

O.3. FORMELN IM QUELLTEXT 71
\begin{equation}
a = \frac{F_0}{k}\:\frac{1}{\sqrt{(1 - \frac{\Omega^2}
{\omega_0^2})^2 + (\frac{\Omega_c}{k})^2}}
\end{equation}
\begin{equation}
m\ddot x + c\dot x + kx = \sum_k F_k \cos \Omega_k t
\end{equation}
\begin{equation}
\Theta \frac{d^2 \varphi}{dt^2} + k^\ast \frac{d \varphi}{dt}
+ D^\ast \varphi = | \vec D |
\end{equation}
\begin{equation}
\bar{Y} \approx f(\bar x) + \frac{1}{2}\, \frac{N - 1}{N}
\,f’’(\bar{x})\,s_x^2
\end{equation}
\begin{equation}
\vec{F_\Gamma} = - \frac{\Gamma m M}{r^2} \vec{e_r} =
- \frac{\Gamma m M}{r^3} \vec{r}
\end{equation}
\begin{eqnarray}
\mbox{Arbeit} & = & \lim_{\Delta r_i \to 0} \sum
{\vec F_i \Delta \vec r_i}\nonumber \\
& = & \int\limits_{\vec r_0}^{\vec r(t)}
{\vec F(\vec r\,)\:d\vec r}
\end{eqnarray}
\begin{equation}
\prod_{j\ge0}\left( \sum_{k\ge0} a_{jk}z^k \right) =
\sum_{n \ge0} z^n \left(\sum_{h_0,k_1\ldots\ge0
\atop k_0+k_1+\cdots=0}
a_{0k_o} a_{1k_1}\ldots \right)
\end{equation}
\begin{equation}
\vec x =
\left( \begin{array}{c}
x - x_s \\
y - y_s \\
z - z_s \\
\end{array} \right)
\end{equation}
\begin{minipage}{120mm}
\begin{displaymath}
{\bf\Psi} = \left( \begin{array}{cc}
\displaystyle{ab \choose cd}
& \displaystyle \frac{e+f}{g-h} \\
\Re z & \displaystyle \left| {ij \atop kl} \right|
\end{array} \right)
\end{displaymath}
\end{minipage}
\stepcounter{equation}