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\chapter{Simulations}
\label{simulationschapter}
\exercisechapter{Simulations}

Why simulations?

- Understand basic concepts (as we do in the following chapters)
- Test your data analysis algorithms
- Explore
- Dynamical systems

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\section{Univariate data}
draw (and plot) random numbers

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\section{Static nonlinearities}
draw (and plot) random functions

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\section{Dynamical systems}

\begin{itemize}
\item euler forward, odeint
\item introduce derivatives which are also needed for fitting (move box from there here)
\end{itemize}

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\section{Summary}
with outook to other simulations (cellular automata, monte carlo, etc.)



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\printsolutions
