\begin{definition}[Definition:Orthogonal Latin Squares/Mutually Orthogonal]
Let $n \in \Z_{>0}$ be a (strictly) positive integer.
Let $S$ be a set of Latin squares of order $n$.
Then the $S$ is '''mutually orthogonal''' {{iff}} every element of $S$ is orthogonal to every other element of $S$.
Category:Definitions/Latin Squares
\end{definition}