About: Stirling numbers of the second kind

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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 or . Stirling numbers of the second kind occur in the field of mathematics called combinatorics and the study of partitions.

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rdf:type	yago:WikicatTrianglesOfNumbers yago:Abstraction100002137 yago:Arrangement107938773 yago:Attribute100024264 yago:Change107296428 yago:Event100029378 yago:Figure113862780 yago:Group100031264 yago:Happening107283608 yago:Ordering108456993 yago:PlaneFigure113863186 yago:Polygon113866144 yago:PsychologicalFeature100023100 yago:WikicatIntegerSequences yago:YagoPermanentlyLocatedEntity yago:Sequence108459252 yago:Series108457976 yago:Shape100027807 yago:Substitution107443761 yago:Triangle113879320 yago:Variation107337390 yago:WikicatPermutations
rdfs:label	Bigarren motako Stirling zenbaki (eu) Números de Stirling de segunda especie (es) Stirling-getallen van de tweede soort (nl) Stirling numbers of the second kind (en) Числа Стирлинга второго рода (ru) Числа Стірлінга другого роду (uk)
rdfs:comment	Konbinatorian, bigarren motako Stirling zenbakia n elementuko multzo bat k azpimultzotan zatitzeko era kopurua da. Honela izendatu eta kalkulatzen da: Konbinatorian ere badaude, permutazioen azterketan eraibltzen direnak. n eta k balio zenbaitetarako, bigarren motako Stirling zenbakien taula da honako hau: Adibidez n=3 elementuko {a, b, c} multzoa k=2 azpimultzotan 3 eratara zatitu daiteke: a-bc, b-ac, c-ab. (eu) En matemáticas, los Números de Stirling de segunda especie, junto con los , son uno de los dos tipos de Números de Stirling. Comúnmente aparecen en el estudio de la combinatoria, en la que se cuenta el número de permutaciones posibles. (es) Stirling-getallen van de tweede soort, genoemd naar de Schotse wiskundige James Stirling, komen voor in de combinatoriek en de studie van partities. (nl) В комбинаторике числом Стирлинга второго рода из n по k, обозначаемым или , называется количество неупорядоченных разбиений n-элементного множества на k непустых подмножеств. (ru) В комбінаториці числом Стірлінга другого роду S(n, k) називається кількість невпорядкованих розбиттів n-елементної множини на k непорожніх підмножин. Дані числа названі на честь Джеймса Стірлінґа. (uk) 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 or . Stirling numbers of the second kind occur in the field of mathematics called combinatorics and the study of partitions. (en)
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dcterms:subject	Triangles of numbers Factorial and binomial topics Permutations Operations on numbers
Wikipage page ID	2229292 (xsd:integer)
Wikipage revision ID	1124217807 (xsd:integer)
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