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- 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...24 KB (4,036 words) - 14:47, 16 May 2024
- combinatorics, Stirling numbers of the first kind arise in the study of permutations. In particular, the Stirling numbers of the first kind count permutations...37 KB (7,183 words) - 16:05, 3 June 2024
- Several different notations for Stirling numbers are in use. Ordinary (signed) Stirling numbers of the first kind are commonly denoted: s ( n , k )...28 KB (4,006 words) - 03:13, 9 April 2024
- moved to the end). The eighteenth Stirling number of the second kind S ( n , k ) {\displaystyle S(n,k)} is 90, from a n {\displaystyle n} of 6 {\displaystyle...15 KB (2,025 words) - 06:23, 14 June 2024
- is the Stirling number of the second kind, also denoted S(n,k) (with a capital S), which is the number of partitions of a set of size n into...2 KB (345 words) - 02:14, 11 February 2023
- is the natural number following 300 and preceding 302. 301 is an odd composite number with two prime factors. 301 is a Stirling number of the second kind...1 KB (204 words) - 22:46, 8 December 2023
- k}\right\}} is a Stirling number of the second kind, i.e., the number of partitions of a set of size n into k disjoint non-empty subsets. The first few Touchard...7 KB (1,238 words) - 23:26, 30 April 2024
- in the Padovan sequence, preceded by the terms 28, 37, 49 (it is the sum of the first two of these). 65 is a Stirling number of the second kind, the number...6 KB (852 words) - 00:14, 24 January 2024
- is the number of ways to partition a size n {\displaystyle n} set into k {\displaystyle k} non-empty subsets (the Stirling number of the second kind)....4 KB (674 words) - 14:16, 7 November 2023
- (non-empty) parts is the Stirling number of the second kind S(n, k). The number of noncrossing partitions of an n-element set is the Catalan number C n = 1 n +...14 KB (1,881 words) - 00:43, 18 June 2024
- {\displaystyle {\tbinom {11}{5}}} , stirling number of the second kind { 9 7 } {\displaystyle \left\{{9 \atop 7}\right\}} , sum of six consecutive primes (67 +...35 KB (5,365 words) - 15:22, 30 May 2024
- Surjective function (category Types of functions){\textstyle {\begin{Bmatrix}|A|\\|B|\end{Bmatrix}}} denotes a Stirling number of the second kind. A non-injective surjective function (surjection, not a bijection)...18 KB (2,182 words) - 11:38, 30 January 2024
- if the central Stirling number of the second kind { 2 n n } {\displaystyle \textstyle \left\{{2n \atop n}\right\}} is odd. Every fibbinary number f i...7 KB (852 words) - 22:04, 14 February 2024
- Inclusion–exclusion principle (redirect from Principle of inclusion-exclusion)Dividing by k! to remove the artificial ordering gives the Stirling number of the second kind: S ( n , k ) = 1 k ! ∑ t = 0 k ( − 1 ) t ( k t ) ( k − t...39 KB (6,677 words) - 10:05, 13 April 2024
- Necklace (combinatorics) (section Number of necklaces){\displaystyle S(n,k)} are the Stirling number of the second kind. N k ( n ) {\displaystyle N_{k}(n)} (sequence A054631 in the OEIS) and L k ( n ) {\displaystyle...8 KB (1,111 words) - 10:20, 30 March 2024
- 1701 is the natural number preceding 1702 and following 1700. 1701 is an odd number and a Stirling number of the second kind. The number 1701 also has...2 KB (240 words) - 03:40, 27 May 2024
- Pairwise comparison (psychology) (redirect from Method Of Paired Comparisons)S_{2}(n,k),} where S2(n, k) is the Stirling number of the second kind. One important application of pairwise comparisons is the widely used Analytic Hierarchy...12 KB (1,787 words) - 17:24, 19 March 2024
- the factorial n ! = n n _ = n ( n − 1 ) ( n − 2 ) ⋯ 1 {\textstyle n!=n^{\underline {n}}=n(n-1)(n-2)\cdots 1} the Stirling number of the second kind {...43 KB (5,600 words) - 23:10, 4 February 2024
- the formula T ( n ) = ∑ k = 0 n S ( n , k ) T 0 ( k ) {\displaystyle T(n)=\sum _{k=0}^{n}S(n,k)\,T_{0}(k)} where S(n,k) denotes the Stirling number of...21 KB (2,613 words) - 18:23, 26 August 2023
- Stirling number of the second kind (plural Stirling numbers of the second kind) (mathematics) The number of ways to partition a set of n objects into k
- author to a coloured copy of Blake's Jerusalem and bound up with it. The volume is now the property of Captain Archibald Stirling, and it is by his most
- town in Mississippi. Directed by Norman Jewison. Written by Stirling Silliphant, based on the 1965 John Ball novel. They call me Mister Tibbs!taglines Now
- We prove it by thermodynamics, with the principle of the impossibility of perpetual motion of the second kind. A machine that could lift a weight or