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About: Maximum-minimums identity     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Personality104617562, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:WikicatMathematicalIdentitiesyago:Abstraction100002137yago:Attribute100024264yago:Identity104618070yago:Personality104617562 New Facet based on Instances of this Class

In mathematics, the maximum-minimums identity is a relation between the maximum element of a set S of n numbers and the minima of the 2n − 1 non-empty subsets of S. Let S = {x1, x2, ..., xn}. The identity states that or conversely For a probabilistic proof, see the reference.