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...

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...

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...

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

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...

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...

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

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...

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

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

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

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

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...

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

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...

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...

estimate of the generalization error. Measuring variable importance through permutation. The report also offers the first theoretical result for random forests...

its vertical edge at the same time. There are 41 unique cases for the permutations of a corner and its matching edge on the cube, and the most efficient...

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

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

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...

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...

permutations and permutation patterns, a permutation class is a set C {\displaystyle C} of permutations for which every pattern within a permutation in...

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...

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

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...

that are preserved by this type of shuffle, and a Gilbreath permutation is a permutation that can be formed by a Gilbreath shuffle. A Gilbreath shuffle...

Permutational multivariate analysis of variance (PERMANOVA), is a non-parametric multivariate statistical permutation test. PERMANOVA is used to compare...