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Fungrim entry: 4c6c43

Symbol: StirlingS2 {nk}\left\{{n \atop k}\right\} Stirling number of the second kind
Domain Codomain
nZ0andkZ0n \in \mathbb{Z}_{\ge 0} \,\mathbin{\operatorname{and}}\, k \in \mathbb{Z}_{\ge 0} {nk}Z0\left\{{n \atop k}\right\} \in \mathbb{Z}_{\ge 0}
Table data: (P,Q)\left(P, Q\right) such that (P)    (Q)\left(P\right) \implies \left(Q\right)
Fungrim symbol Notation Short description
StirlingS2{nk}\left\{{n \atop k}\right\} Stirling number of the second kind
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
    SymbolDefinition(StirlingS2, StirlingS2(n, k), "Stirling number of the second kind"),
    Table(TableRelation(Tuple(P, Q), Implies(P, Q)), TableHeadings(Description("Domain"), Description("Codomain")), List(Tuple(And(Element(n, ZZGreaterEqual(0)), Element(k, ZZGreaterEqual(0))), Element(StirlingS2(n, k), ZZGreaterEqual(0))))))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-10-05 13:11:19.856591 UTC