Tabellenanhang - Alex-weingarten.de

86 ANHANG O. BEISPIELE LATEX
c = \sqrt{a^{2} + b^{2}}
\end{equation}
\begin{equation}
\sqrt[3]{1 + x} \approx 1 + \frac{x}{3}
\qquad \mbox{f"ur} \quad x \ll 1
\end{equation}
\begin{equation}
r = \root 3 \of {\frac{3}{4\pi} V}
\end{equation}
\begin{equation}
\lim_{x \to 0} \frac{\sin x}{x} = 1
\end{equation}
\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}