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)
“Freedom of religion, freedom of the press, and freedom of person under the protection of habeas corpus, and trial by juries impartially selected. These principles form the bright constellation which has gone before us, and guided our steps through an age of revolution and reformation.”
—Thomas Jefferson (1743–1826)