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:
“I’ve tried to reduce profanity but I reduced so much profanity when writing the book that I’m afraid not much could come out. Perhaps we will have to consider it simply as a profane book and hope that the next book will be less profane or perhaps more sacred.”
—Ernest Hemingway (1899–1961)
“Nihilism as a symptom that the losers have no more consolation: that they destroy in order to be destroyed, that without morality they no longer have any reason to “resign themselves”Mthat they put themselves on the level of the opposite principle and for their part also want power in that they compel the mighty to be their hangmen. This is the European form of Buddhism, renunciation, once all existence has lost its “meaning.””
—Friedrich Nietzsche (1844–1900)