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...

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...

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...

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

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...

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...

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...

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...

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...

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...

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...

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 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...

Programming by permutation, sometimes called "programming by accident" or "shotgunning", is an approach to software development wherein a programming...

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 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 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...

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...

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