transpose

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transpose

$\begin{usage} transpose(x,y)\\ transpose!($\sigma$,x,y) \end{usage}$

$\begin{signatures} transpose: & (\htmlref{\texttt{MachineInteger}}{MachineInte... ...tmlref{\texttt{MachineInteger}}{MachineInteger}) $\to$\ \%\\\end{signatures}$

$\begin{params} {\em$\sigma$} & \% & A permutation\\ {\em x,y} & \htmlref{\texttt{MachineInteger}}{MachineInteger} & Indices\\\end{params}$

$\begin{retval} transpose(x,y) returns the transposition $(x y)$, while transpos... ...s $\sigma$\ by the composition $(x y) \circ \sigma$and returns it. \end{retval}$

$\begin{remarks} transpose!~does not make a copy of $\sigma$, but performs all t... ... in $\sigma$. Also, it does not create the transposition $(x y)$. \end{remarks}$

Manuel Bronstein 2000-12-13