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Use 'itemize' instead of 'longtable' for notation in dae.tex
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This avoids the need to use a paragraph column adapted for a fixed paper size.
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henrikt-ma committed Sep 20, 2020
1 parent 3e67ce8 commit ef2fb70
Showing 1 changed file with 22 additions and 18 deletions.
40 changes: 22 additions & 18 deletions chapters/dae.tex
Expand Up @@ -37,24 +37,28 @@ \chapter{Modelica DAE Representation}\label{modelica-dae-representation}
\label{eq:hydrid-dae}
\end{subequations}
and where
\begin{longtable}[]{|p{2cm}|p{12cm}|}
\hline \endhead
$p$ & Modelica variables declared as \lstinline!parameter! or \lstinline!constant!, i.e., variables without any time-dependency.\\
\hline
$t$ & Modelica variable \lstinline!time!, the independent (real) variable.\\
\hline
$x(t)$ & Modelica variables of type \lstinline!Real!, appearing differentiated.\\
\hline
$m(t_{\mathrm{e}})$ & Modelica variables of type \lstinline!discrete Real!, \lstinline!Boolean!, \lstinline!Integer! which are unknown.
These variables change their value only at event instants t\textsubscript{e}. \lstinline!pre(m)! are the values of $m$ immediately before the current event occurred.\\
\hline
$y(t)$ & Modelica variables of type \lstinline!Real! which do not fall into any other category (= algebraic variables).\\
\hline
$c(t_{\mathrm{e}})$ & The conditions of all if-expressions generated including when-clauses after conversion, see \cref{when-equations}).\\
\hline
$\mathit{relation}(v)$ & A relation containing variables $v_{i}$, e.g.\ $v_{1} > v_{2}$, $v_{3} \geq 0$.\\
\hline
\end{longtable}
\begin{itemize}
\item $p$:
Modelica variables declared as \lstinline!parameter! or \lstinline!constant!, i.e., variables without any time-dependency.

\item $t$:
Modelica variable \lstinline!time!, the independent (real) variable.

\item $x(t)$:
Modelica variables of type \lstinline!Real!, appearing differentiated.

\item $m(t_{\mathrm{e}})$:
Modelica variables of type \lstinline!discrete Real!, \lstinline!Boolean!, \lstinline!Integer! which are unknown. These variables change their value only at event instants t\textsubscript{e}. \lstinline!pre(m)! are the values of $m$ immediately before the current event occurred.

\item $y(t)$:
Modelica variables of type \lstinline!Real! which do not fall into any other category (= algebraic variables).

\item $c(t_{\mathrm{e}})$:
The conditions of all if-expressions generated including when-clauses after conversion, see \cref{when-equations}).

\item $\mathit{relation}(v)$:
A relation containing variables $v_{i}$, e.g.\ $v_{1} > v_{2}$, $v_{3} \geq 0$.
\end{itemize}

For simplicity, the special cases of \lstinline!noEvent! and \lstinline!reinit! are not contained in the equations
above and are not discussed below.
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