Latin square: Difference between revisions
New page: A '''Latin square''' is an <math>n \times n</math> table filled with <math>n</math> copies of each of the integers between <math>1</math> and <math>n</math> in such a way that each row... |
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A '''Latin square''' is an <math>n \times n</math> table filled with <math>n</math> copies of each of the [[integer]]s between <math>1</math> and <math>n</math> in such a way that each row and column contains exactly one copy of each integer. | A '''Latin square''' of size <math>n</math> is an <math>n \times n</math> table filled with <math>n</math> copies of each of the [[integer]]s between <math>1</math> and <math>n</math> in such a way that each row and column contains exactly one copy of each integer. | ||
The problem of counting the number of Latin squares of size <math>n</math> seems to be extremely difficult. | The problem of counting the number of Latin squares of size <math>n</math> seems to be extremely difficult. | ||
{{stub}} | {{stub}} | ||
Revision as of 21:54, 11 July 2008
A Latin square of size
is an
table filled with
copies of each of the integers between
and
in such a way that each row and column contains exactly one copy of each integer.
The problem of counting the number of Latin squares of size
seems to be extremely difficult.
This article is a stub. Help us out by expanding it.