First formulas

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Jannis Portmann 2023-02-02 18:13:28 +01:00
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\rule{\linewidth}{0.25pt} \rule{\linewidth}{0.25pt}
\end{center} \end{center}
\section{First} \section{Equations}
\subsection{Navier-Stokes}
\begin{equation}
\frac{D}{Dt}
\end{equation}
\subsection{Circulation}
\begin{equation}
C = \oint_c u \, dc = \oint (u \, dx + v \, dy + w \, dz)
\end{equation}
\section{Concepts}
\subsection{Thermal wind}
\textit{Thermal wind} describes the vertical change of geostrophic (i.e. horizontal) wind
\begin{equation}
\frac{\partial}{\partial z} v_G = \bigg(\frac{1}{f}\frac{g}{\theta_0}\bigg)(k \times \nabla_h \theta^*)
\end{equation}
\scriptsize \scriptsize