词条 | Latin rectangle |
释义 |
In combinatorial mathematics, a Latin rectangle is an r × n matrix that has the numbers 1, 2, 3, ..., n as its entries with no number occurring more than once in any row or column where r ≤ n. An n × n Latin rectangle is called a Latin square. If r < n, then it is possible to append n − r rows to an r × n Latin rectangle to form a Latin square, using Hall's marriage theorem. In statistics, Latin rectangles have applications in the design of experiments. See also
References
2 : Latin squares|Design of experiments |
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