diff --git a/chapters/arrays.tex b/chapters/arrays.tex index 6aa86e3ec..c339de6d2 100644 --- a/chapters/arrays.tex +++ b/chapters/arrays.tex @@ -1190,7 +1190,7 @@ \subsection{Array Element-wise Multiplication}\label{array-element-wise-multipli \end{center} \end{table} -\subsection{Matrix and Vector Multiplication of Numeric Arrays}\label{matrix-and-vector-multiplication-of-numeric-arrays} +\subsection{Multiplication of Matrices and Vectors}\label{matrix-and-vector-multiplication-of-numeric-arrays}\label{multiplication-of-matrices-and-vectors} Multiplication \lstinline!a * b! of numeric vectors and matrices is defined only for the following combinations: \begin{table}[H] @@ -1315,7 +1315,7 @@ \subsection{Exponentiation of Scalars of Numeric Elements}\label{exponentiation- literals solves the problem. \end{example} -\subsection{Scalar Exponentiation of Square Matrices of Numeric Elements}\label{scalar-exponentiation-of-square-matrices-of-numeric-elements} +\subsection{Scalar Exponentiation of Matrices}\label{scalar-exponentiation-of-square-matrices-of-numeric-elements}\label{scalar-exponentiation-of-matrices} Exponentiation \lstinline!a ^ s! is defined if \lstinline!a! is a square numeric matrix and \lstinline!s! is a scalar as a subtype of \lstinline!Integer! with $\text{\lstinline!s!} \geq 0$. The exponentiation is done by repeated multiplication, e.g.: diff --git a/chapters/connectors.tex b/chapters/connectors.tex index ba4bdb2c7..a8e324a40 100644 --- a/chapters/connectors.tex +++ b/chapters/connectors.tex @@ -671,7 +671,7 @@ \subsection{Balancing Restriction and Size of Connectors}\label{balancing-restri \end{lstlisting} \end{example} -\section{Equation Operators for Overconstrained Connection-Based Equation Systems}\label{equation-operators-for-overconstrained-connection-based-equation-systems1} +\section{Overconstrained Connection-Based Equation Systems}\label{equation-operators-for-overconstrained-connection-based-equation-systems1}\label{overconstrained-connection-based-equation-systems} There is a special problem regarding equation systems resulting from \emph{loops} in connection graphs where the connectors contain \emph{non-flow} (i.e., potential) variables \emph{dependent} on each other. When a loop structure occurs in such a graph, the resulting equation system will be \emph{overconstrained}, i.e., have more equations than variables, since there are implicit constraints between certain non-flow variables in the connector in addition to the connection equations around the loop.