\begin{definition}[Definition:Latin Square/Element]
Let $\mathbf L$ be a Latin square of order $n$.
The individual $n \times n$ symbols that go to form $\mathbf L$ are known as the '''elements''' of $\mathbf L$.
The element at row $i$ and column $j$ is called '''element $\left({i, j}\right)$ of $\mathbf L$''', and can be written $a_{i j}$, or $a_{i, j}$ if $i$ and $j$ are of more than one character.
If the indices are still more complicated coefficients and further clarity is required, then the form $a \left({i, j}\right)$ can be used.
Note that the first subscript determines the row, and the second the column, of the Latin square where the element is positioned.
\end{definition}