05B15-LatinSquare.tex

\documentclass[12pt]{article}
\usepackage{pmmeta}
\pmcanonicalname{LatinSquare}
\pmcreated{2013-03-22 12:14:34}
\pmmodified{2013-03-22 12:14:34}
\pmowner{Mathprof}{13753}
\pmmodifier{Mathprof}{13753}
\pmtitle{Latin square}
\pmrecord{7}{31624}
\pmprivacy{1}
\pmauthor{Mathprof}{13753}
\pmtype{Definition}
\pmcomment{trigger rebuild}
\pmclassification{msc}{05B15}

\endmetadata

\usepackage{amsmath}
\begin{document}
A \emph{Latin square} of \PMlinkescapetext{order}$n$ is an $n\times n$ array such that each column and each row are made with the same $n$ symbols, using every one exactly once .

Examples.
\begin{equation*}
\left(\begin{array}{cccc}
a & b & c & d\\
c & d & a &b\\
d & c & b & a\\
b & a & d & c
\end{array}\right)
\qquad
\left(\begin{array}{cccc}
1 & 2&  3&  4\\
4 & 3 & 2 & 1\\
2 & 1 & 4 & 3\\
3 & 4 & 1 & 2
\end{array}\right)
\end{equation*}
%%%%%
%%%%%
%%%%%
\end{document}