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 above Latin square is not reduced because its first column is A, C, B rather than A, B, C.
We can make any Latin square reduced by permuting (reordering) the rows and columns. Here switching the above matrix's second and third rows yields
| A | B | C |
| B | C | A |
| C | A | B |
which is reduced: Both its first row and its first column are alphabetically ordered A, B, C.
Read more about this topic: Latin Square
Famous quotes containing the words reduced and/or form:
“We shall be reduced to gnaw the very crust of the earth for nutriment.”
—Henry David Thoreau (1817–1862)
“Well then! Wagner was a revolutionary—he fled the Germans.... As an artist one has no home in Europe outside Paris: the délicatesse in all five artistic senses that is presupposed by Wagner’s art, the fingers for nuances, the psychological morbidity are found only in Paris. Nowhere else is this passion in questions of form to be found, this seriousness in mise en scène—which is Parisian seriousness par excellence.”
—Friedrich Nietzsche (1844–1900)