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different are also permutations: the letters are already ordered in the original word, and the anagram reorders them. The study of permutations of finite sets...

mathematics, a permutation group is a group G whose elements are permutations of a given set M and whose group operation is the composition of permutations in G...

the permutations of X (i.e. the bijective functions from X to X) fall into two classes of equal size: the even permutations and the odd permutations. If...

term counts the number of partial permutations with support of size i, that is, the number of partial permutations with i non-hole entries. Alternatively...

versa), the question of how many permutations to generate can be seen as the question of when to stop generating permutations, based on the outcomes of the...

random permutation is a random permutation of a set of objects, that is, a permutation-valued random variable. The use of random permutations is common...

non-negative. There are two natural one-to-one correspondences between permutations and permutation matrices, one of which works along the rows of the matrix, the...

algorithm, may be used to generate random cyclic permutations of length n instead of random permutations. The Fisher–Yates shuffle, in its original form...

calculated by: P = number of permutations with  F π ≥ F total number of permutations {\displaystyle P={\frac {{\text{number of permutations with }}F^{\pi }\geq...

enumeration of permutations avoiding a fixed (and typically short) permutation or set of permutations. Let Avn(B) denote the set of permutations of length...

Combinations and permutations in the mathematical sense are described in several articles. Described together, in-depth: Twelvefold way Explained separately...

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

mathematical permutations. Alternating permutation Circular shift Cyclic permutation Derangement Even and odd permutations—see Parity of a permutation Josephus...

definition to include permutations with fixed points in addition to at most one non-trivial cycle. In cycle notation, cyclic permutations are denoted by the...

surrounds the pair of i values in the permutation. Stirling permutations have been generalized to the permutations of a multiset with more than two copies...

G} as a group of permutations, or as a group of permutation matrices. The term also refers to the combination of the two. A permutation representation of...

mathematical set theory, a permutation model is a model of set theory with atoms (ZFA) constructed using a group of permutations of the atoms. A symmetric...

set of permutations on n-bit strings. A pseudorandom permutation family is a collection of pseudorandom permutations, where a specific permutation may be...

data structure. The stack-sortable permutations are exactly the permutations that do not contain the permutation pattern 231; they are counted by the...

defined as a permutation on this set containing 1 or 2 rising sequences. The permutations with 1 rising sequence are the identity permutations. As a special...