Search results

defined from the Stirling numbers, which are in turn named after 18th-century Scottish mathematician James Stirling. Stirling permutations may be used to...

be expressed as a summation involving double factorials. Stirling permutations, permutations of the multiset of numbers 1, 1, 2, 2, ..., k, k in which...

combinatorics, Stirling numbers of the first kind arise in the study of permutations. In particular, the Stirling numbers of the first kind count permutations according...

Josephus permutation Parity of a permutation Separable permutation Stirling permutation Superpattern Transposition (mathematics) Unpredictable permutation Bijection...

In mathematics, a permutation of a set can mean one of two different things: an arrangement of its members in a sequence or linear order, or the act or...

approximate large factorials Stirling number Stirling permutation Stirling cycle, a thermodynamic cycle for Stirling devices. Stirling engine, a type of heat...

In mathematics, Stirling numbers arise in a variety of analytic and combinatorial problems. They are named after James Stirling, who introduced them in...

mathematician. He was nicknamed "The Venetian". The Stirling numbers, Stirling permutations, and Stirling's approximation are named after him. He also proved...

In mathematics, particularly in combinatorics, a Stirling number of the second kind (or Stirling partition number) is the number of ways to partition...

combinatorial mathematics, an alternating permutation (or zigzag permutation) of the set {1, 2, 3, ..., n} is a permutation (arrangement) of those numbers so...

The statistics of random permutations, such as the cycle structure of a random permutation are of fundamental importance in the analysis of algorithms...

concerning two finite sets, which include the classical problems of counting permutations, combinations, multisets, and partitions either of a set or of a number...

construct circuits for integer multiplication. Stirling permutation, a different type of permutation of the same multiset Knuth (2008); Gardner (1978)...

combinatorial classes (shown without additional markers) are permutations (for unsigned Stirling numbers of the first kind): P = SET ⁡ ( CYC ⁡ ( Z ) ) , {\displaystyle...

disbanded in 1976. Lindström–Gessel–Viennot lemma Dyson conjecture Stirling permutation Dixon's identity Super-Catalan numbers Ira Gessel's CV Putnam Competition...

paths (sets of transpositions) that connect two vertices (permutations). Two permutations connected by an edge differ in only two places (one transposition)...

postulate Sierpinski triangle Star of David theorem Stirling number Stirling transform Stirling's approximation Subfactorial Table of Newtonian series...

sum of Stirling numbers of the second kind B n = ∑ k = 0 n { n k } . {\displaystyle B_{n}=\sum _{k=0}^{n}\left\{{n \atop k}\right\}.} The Stirling number...

Professor Colin McLaurin of the McLaurin series, James Stirling famous for Stirling permutations who had proved the correctness of Newton's classification...

way to encode each possible permutation of a sequence of n numbers. It is an instance of a scheme for numbering permutations and is an example of an inversion...