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.

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.

单词	Stirling numbers of the second kind
释义	Stirling numbers of the second kind 英语百科 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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