By Daniel J. Velleman
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This quantity is the second one in a sequence released to mark the fiftieth anniversary of the invention of the 1st scrolls at Qumran. The two-volume set includes a finished variety of articles overlaying issues which are archaeological, ancient, literary, sociological, or theological in personality. because the discovery of the 1st scrolls in 1947 an huge variety of reports were released.
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For a positive integer p, the symbol p− in a cell indicates that the cell contains a positive integer less than or equal to p. Similarly, the symbol p+ indicates that the integer in the cell is greater than or equal to p. Theorem 1. If n is less than (k + 2)/2, then a k-by-n array in which each column has k distinct integers has a transversal (of length n). Proof. We proceed by induction on n. Clearly the theorem is true for n = 1. Now assume that it is true for n, and consider a k-by-(n + 1) array in which each column has k distinct integers and n + 1 < (k + 2)/2.
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