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:
““Write that down,” the King said to the jury, and the jury eagerly wrote down all three dates on their slates, and then added them up, and reduced the answer to shillings and pence.”
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)
“That is what the highest criticism really is, the record of one’s own soul. It is more fascinating than history, as it is concerned simply with oneself. It is more delightful than philosophy, as its subject is concrete and not abstract, real and not vague. It is the only civilised form of autobiography.”
—Oscar Wilde (1854–1900)