Add to ORKGThe connection between P(m, n), the number of partitions of a set containing m elements as a disjoint union of n non-empty subsets; S(m, n), the number of surjections of a set of m elements onto a set of n-elements; and St(m, n), the Stirling number of the second kind, given by
Let P (n, k) denote the set of partitions of {1, 2, ... , n} having exactly k blocks. In this paper,...
AbstractThe refined Stirling numbers of the first kindnm0m1 ··· mk−1 specify the number of permutati...
AbstractGiven the set [n]={1,…,n} for positive integer n, combinatorial properties of Clifford algeb...
Educação Superior::Ciências Exatas e da Terra::MatemáticaThe Stirling numbers of the second kind, or...
Bell and Stirling numbers of first and second kind tell the number of ways that n objects, or n cycl...
Stirling numbers of the second kind $S(n,k)$ enumerate the number of set partitions of $n$ elements ...
Partitions of the set {1,2,...,n} are classified as having successions if a block contains con-secut...
Partitions of the set {1,2,...,n} are classified as having successions if a block contains con-secut...
The theory’s main theorem states that the cardinality of set parti-tions of size k on a carrier set ...
AbstractIn this paper we calculate which prime powers ps divide Δn, m = g.c.d.{k! S(n, k)|m ≤ k ≤ n}...
AbstractBased on finite set partitions, we introduce restrictions to the distances among the element...
In this paper, we prove that the Stirling numbers of both kinds can be written as sums over integer ...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
Abstract[E. Steingrímsson, Statistics on ordered partitions of sets, arXiv: math.CO/0605670] introdu...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
Let P (n, k) denote the set of partitions of {1, 2, ... , n} having exactly k blocks. In this paper,...
AbstractThe refined Stirling numbers of the first kindnm0m1 ··· mk−1 specify the number of permutati...
AbstractGiven the set [n]={1,…,n} for positive integer n, combinatorial properties of Clifford algeb...
Educação Superior::Ciências Exatas e da Terra::MatemáticaThe Stirling numbers of the second kind, or...
Bell and Stirling numbers of first and second kind tell the number of ways that n objects, or n cycl...
Stirling numbers of the second kind $S(n,k)$ enumerate the number of set partitions of $n$ elements ...
Partitions of the set {1,2,...,n} are classified as having successions if a block contains con-secut...
Partitions of the set {1,2,...,n} are classified as having successions if a block contains con-secut...
The theory’s main theorem states that the cardinality of set parti-tions of size k on a carrier set ...
AbstractIn this paper we calculate which prime powers ps divide Δn, m = g.c.d.{k! S(n, k)|m ≤ k ≤ n}...
AbstractBased on finite set partitions, we introduce restrictions to the distances among the element...
In this paper, we prove that the Stirling numbers of both kinds can be written as sums over integer ...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
Abstract[E. Steingrímsson, Statistics on ordered partitions of sets, arXiv: math.CO/0605670] introdu...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
Let P (n, k) denote the set of partitions of {1, 2, ... , n} having exactly k blocks. In this paper,...
AbstractThe refined Stirling numbers of the first kindnm0m1 ··· mk−1 specify the number of permutati...
AbstractGiven the set [n]={1,…,n} for positive integer n, combinatorial properties of Clifford algeb...