From ef2fb7052c02e6395cf95355cd2d078a4ba731f9 Mon Sep 17 00:00:00 2001 From: Henrik Tidefelt Date: Mon, 21 Sep 2020 00:07:17 +0200 Subject: [PATCH] Use 'itemize' instead of 'longtable' for notation in dae.tex This avoids the need to use a paragraph column adapted for a fixed paper size. --- chapters/dae.tex | 40 ++++++++++++++++++++++------------------ 1 file changed, 22 insertions(+), 18 deletions(-) diff --git a/chapters/dae.tex b/chapters/dae.tex index f78590834..e1dc6b1eb 100644 --- a/chapters/dae.tex +++ b/chapters/dae.tex @@ -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.