Definition, Betydelse & Anagram | Engelska ordet PERMUTATION

Definition av PERMUTATION

1. (matematik) permutation

Exempel på hur man kan använda PERMUTATION i en mening

• He was one of the first to rigorously state and prove the key theorems of calculus (thereby creating real analysis), pioneered the field complex analysis, and the study of permutation groups in abstract algebra.
• In 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 (which are thought of as bijective functions from the set M to itself).
• In a set, all that matters is whether each element is in it or not, so the ordering of the elements in roster notation is irrelevant (in contrast, in a sequence, a tuple, or a permutation of a set, the ordering of the terms matters).
• In cryptography, a transposition cipher (also known as a permutation cipher) is a method of encryption which scrambles the positions of characters (transposition) without changing the characters themselves.
• Although such a decomposition is not unique, the parity of the number of transpositions in all decompositions is the same, implying that the sign of a permutation is well-defined.
• This allowed him to characterize the polynomial equations that are solvable by radicals in terms of properties of the permutation group of their roots—an equation is by definition solvable by radicals if its roots may be expressed by a formula involving only integers, th roots, and the four basic arithmetic operations.
• In a worst-case scenario with this version, the random source is of low quality and happens to make the sorted permutation unboundedly unlikely to occur.
• Equivalently, g(n) is the largest least common multiple (lcm) of any partition of n, or the maximum number of times a permutation of n elements can be recursively applied to itself before it returns to its starting sequence.
• In combinatorial mathematics, a derangement is a permutation of the elements of a set in which no element appears in its original position.
• even and odd permutations, a permutation of a finite set is even if it is composed of an even number of transpositions.
• A sequence of random variables is called exchangeable if the joint distribution of the sequence is unchanged by any permutation of the indices.
• In mathematics, particularly in linear algebra, tensor analysis, and differential geometry, the Levi-Civita symbol or Levi-Civita epsilon represents a collection of numbers defined from the sign of a permutation of the natural numbers , for some positive integer.
• This property may be written symbolically as perm(A) = perm(PAQ) for any appropriately sized permutation matrices P and Q,.
• There are two natural one-to-one correspondences between permutations and permutation matrices, one of which works along the rows of the matrix, the other along its columns.
• Even and odd permutations, a permutation of a finite set is odd if it is composed of an odd number of transpositions.
• In mathematics, a generalized permutation matrix (or monomial matrix) is a matrix with the same nonzero pattern as a permutation matrix, i.
• If one takes the perspective that the definition of entropy must be changed so as to ignore particle permutation, in the thermodynamic limit, the paradox is averted.
• Commutation matrix, a permutation matrix which is used for transforming the vectorized form of another matrix into the vectorized form of its transpose.
• For example, for the general linear group GL, a maximal torus is the subgroup D of invertible diagonal matrices, whose normalizer is the generalized permutation matrices (matrices in the form of permutation matrices, but with any non-zero numbers in place of the '1's), and whose Weyl group is the symmetric group.
• An odd permutation of the corners implies an odd permutation of the centres and vice versa; however, even and odd permutations of the centres are indistinguishable due to the identical appearance of the pieces.

Förberedelsen av sidan tog: 194,04 ms.