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...

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...

A permutation test (also called re-randomization test or shuffle test) is an exact statistical hypothesis test making use of the proof by contradiction...

entries 0.: 26  An n × n permutation matrix can represent a permutation of n elements. Pre-multiplying an n-row matrix M by a permutation matrix P, forming PM...

cyclic permutation is a permutation consisting of a single cycle. In some cases, cyclic permutations are referred to as cycles; if a cyclic permutation has...

Look up permutation in Wiktionary, the free dictionary. In mathematics, permutation relates to the act of arranging all the members of a set into some...

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...

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

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...

epsilon represents a collection of numbers defined from the sign of a permutation of the natural numbers 1, 2, ..., n, for some positive integer n. It...

mathematical field of graph theory, a permutation graph is a graph whose vertices represent the elements of a permutation, and whose edges represent pairs...

cryptography, a pseudorandom permutation (PRP) is a function that cannot be distinguished from a random permutation (that is, a permutation selected at random with...

In combinatorial mathematics, a partial permutation, or sequence without repetition, on a finite set S is a bijection between two specified subsets of...

In automata theory, a permutation automaton, or pure-group automaton, is a deterministic finite automaton such that each input symbol permutes the set...

In music, a permutation (order) of a set is any ordering of the elements of that set. A specific arrangement of a set of discrete entities, or parameters...

possible permutations of n objects. It was first proposed by B. R. Heap in 1963. The algorithm minimizes movement: it generates each permutation from the...

Permutation City is a 1994 science-fiction novel by Greg Egan that explores many concepts, including quantum ontology, through various philosophical aspects...

until no elements remain. The algorithm produces an unbiased permutation: every permutation is equally likely. The modern version of the algorithm takes...

defined over a finite set of n {\displaystyle n} symbols consists of the permutations that can be performed on the n {\displaystyle n} symbols. Since there...

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...

In mathematics, a permutation polynomial (for a given ring) is a polynomial that acts as a permutation of the elements of the ring, i.e. the map x ↦ g...

In applied mathematics, a bit-reversal permutation is a permutation of a sequence of n {\displaystyle n} items, where n = 2 k {\displaystyle n=2^{k}} is...

mathematics, a generalized permutation matrix (or monomial matrix) is a matrix with the same nonzero pattern as a permutation matrix, i.e. there is exactly...

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

systematic study was permutation groups. Given any set X and a collection G of bijections of X into itself (known as permutations) that is closed under...

A circular permutation is a relationship between proteins whereby the proteins have a changed order of amino acids in their peptide sequence. The result...

In cryptography, an SP-network, or substitution–permutation network (SPN), is a series of linked mathematical operations used in block cipher algorithms...

its vertical edge at the same time. There are 42 unique cases for the permutations of a corner and its matching edge on the cube (one of which corresponds...

theoretical computer science, a (classical) permutation pattern is a sub-permutation of a longer permutation. Any permutation may be written in one-line notation...

n-1)] : component permutation ^[perm(0..n-1)] : coordinate permutation (n == 2: transpose) _2axis[perm(0..m-1)] : monagonal permutation (axis ε [0..n-1])...