stylistic:tone, linguistic:voice_change, information:highlighting
Reduced form

A Latin square is said to be reduced (also, normalized or in standard form) if both its first row and its first column are in their natural order. For example, the Latin square above is not reduced because its first column is A, C, B rather than A, B, C.

Any Latin square can be reduced by permuting (that is, reordering) the rows and columns. Here switching the above matrix's second and third rows yields the following square:

This Latin square is reduced; both its first row and its first column are alphabetically ordered A, B, C.