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词汇 Stirling numbers of the second kind
分类 英语词汇 英语翻译词典
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Stirling numbers of the second kind

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Stirling numbers of the second kind

The 15 partitions of a 4-element setordered in a Hasse diagramThere are S(4,1),...,S(4,4) = 1,7,6,1 partitionscontaining 1,2,3,4 sets.
Parity of Stirling numbers of the second kind.

In mathematics, particularly in combinatorics, a Stirling number of the second kind (or Stirling partition number) is the number of ways to partition a set of n objects into k non-empty subsets and is denoted by S(n,k) or \textstyle \lbrace{n\atop k}\rbrace. Stirling numbers of the second kind occur in the field of mathematics called combinatorics and the study of partitions.

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