Stirling numbers of the second kind

Stirling numbers of the second kind
Tag	`0JCQGPY8Z4`
URI	`m2://0JCQGPY8Z4`
Kind	concept
Writing	W1 stated
MSC	11B73
Same as	Wikidata Q2601117 Wikipedia Stirling numbers of the second kind

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Summary

The Stirling numbers of the second kind $S(n, k)$ count the partitions of an $n$ -element set into $k$ nonempty blocks. They connect ordinary powers with falling factorials and they sum to the Bell numbers. The node Stirling numbers of the second kind gives the precise definition.

What this node needs for W2

edge instance_of in: at least two examples (0 of 2)
edge not_instance_of in: at least one non-example (0 of 1)
edge specializes both: the more general notions and the special cases (0 of 1)

The writing levels say how complete the text of a node is. They do not measure its truth.

Sources

Web https://en.wikipedia.org/wiki/Stirling_numbers_of_the_second_kind, Definition

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Definitions

Stirling numbers of the second kind 0ZN07RQ3JS