In combinatorics and in experimental design, a Latin square is an n × n array filled with n different symbols, each occurring exactly once in each row and exactly once in each column. Here is an example:
| A | B | C |
| C | A | B |
| B | C | A |
The name "Latin square" was inspired by mathematical papers by Leonhard Euler, who used Latin characters as symbols. Of course, other symbols can be used instead of Latin letters: in the above example, the alphabetic sequence A, B, C can be replaced by the integer sequence 1, 2, 3.
Read more about Latin Square: Reduced Form, Applications, Heraldry
Famous quotes containing the words latin and/or square:
“Americans living in Latin American countries are often more snobbish than the Latins themselves. The typical American has quite a bit of money by Latin American standards, and he rarely sees a countryman who doesn’t. An American businessman who would think nothing of being seen in a sport shirt on the streets of his home town will be shocked and offended at a suggestion that he appear in Rio de Janeiro, for instance, in anything but a coat and tie.”
—Hunter S. Thompson (b. 1939)
“O for a man who is a man, and, as my neighbor says, has a bone in his back which you cannot pass your hand through! Our statistics are at fault: the population has been returned too large. How many men are there to a square thousand miles in this country? Hardly one.”
—Henry David Thoreau (1817–1862)