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Use correct variants of "branch"
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henrikt-ma committed Apr 14, 2021
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Expand Up @@ -604,10 +604,9 @@ \section{Events and Synchronization}\label{events-and-synchronization}
y = if u > uMax then uMax else if u < uMin then uMin else u;
\end{lstlisting}

During continuous integration always the same if-branch is
evaluated. The integration is halted whenever \lstinline!u-uMax! or \lstinline!u-uMin!
crosses zero. At the event instant, the correct if-branch is
selected and the integration is restarted.
During continuous integration always the same \lstinline!if!-branch is evaluated.
The integration is halted whenever \lstinline!u-uMax! or \lstinline!u-uMin! crosses zero.
At the event instant, the correct \lstinline!if!-branch is selected and the integration is restarted.

Numerical integration methods of order $n$ ($n \geq 1$) require continuous model equations which are differentiable up to order $n$. This requirement can be fulfilled if \lstinline!Real! elementary relations are not treated literally but as defined above, because discontinuous changes can only occur at event instants and no longer during continuous integration.
\end{example}
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