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fix typo in range of variable x in model NotSurjective #3749

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fix typo in range of variable x in model NotSurjective #3749

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357f9ed
fix typo in range of variable x in model NotSurjective
Modelica-ZhipengChen Sep 26, 2025
44c1440
fix fix...
Modelica-ZhipengChen Sep 26, 2025
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2 changes: 1 addition & 1 deletion chapters/functions.tex
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Original file line number Diff line number Diff line change
Expand Up @@ -1644,7 +1644,7 @@ \subsection{Using the Inverse Annotation}\label{using-the-inverse-annotation}
annotation(experiment(StopTime = 10.0));
end NotSurjective;
\end{lstlisting}
As the value of {\lstinline!x!} varies over the interval $[-1,\, 1]$, but the range of {\lstinline!cbrtPos!} is only $(0, \infty)$, the informal codomain of {\lstinline!cbrtPos!} cannot be restricted such that the surjectiveness is fulfilled.
As the value of {\lstinline!x!} varies over the interval $[-0.5,\, 1.5]$, but the range of {\lstinline!cbrtPos!} is only $(0, \infty)$, the informal codomain of {\lstinline!cbrtPos!} cannot be restricted such that the surjectiveness is fulfilled.
A valid solution to the equation in {\lstinline!x!} and {\lstinline!y!} must satisfy $\text{{\lstinline!y!}} > 0$, and when no {\lstinline!inverse!} annotation is given, a violation will be detected by a nonlinear solver applied directly to the equation.
When the (invalid) inverse provided by the {\lstinline!inverse!} annotation is used, however, the equation gets transformed into
\begin{lstlisting}[language=modelica]
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