Anagram & Information om | Engelska ordet PERMUTATIONS

Exempel på hur man kan använda PERMUTATIONS i en mening

• In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter (unlike permutations).
• 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).
• Anagrams of a word whose letters are all different are also permutations: the letters are already ordered in the original word, and the anagram reorders them.
• Further examples include "up to isomorphism", "up to permutations", and "up to rotations", which are described in the Examples section.
• They also occur in combinatorics, specifically when counting the number of alternating permutations of a set with an even number of elements.
• As well as established techniques, such as lipograms (Perec's novel A Void) and palindromes, the group devises new methods, often based on mathematical problems, such as the knight's tour of the chess-board and permutations.
• It can be shown (in an asymptotic sense) that almost all cyclic permutations admit at least one stretching pair, and hence almost all orbit types imply period-3.
• Unsigned Stirling numbers of the first kind, which count the number of permutations of n elements with k disjoint cycles, are denoted:.
• Two versions of this algorithm exist: a deterministic version that enumerates all permutations until it hits a sorted one, and a randomized version that randomly permutes its input.
• Examples of combinatorial species are (finite) graphs, permutations, trees, and so on; each of these has an associated generating function which counts how many structures there are of a certain size.
• even and odd permutations, a permutation of a finite set is even if it is composed of an even number of transpositions.
• This venue, and two subsequent permutations, are known as the Playbox Theatre, and functioned as an experimental space for Brown's larger venue, the Pasadena Playhouse.
• Combinatorial problems of other types such as the enumeration of permutations and combinations had been considered since antiquity.
• Other names include the permutation symbol, antisymmetric symbol, or alternating symbol, which refer to its antisymmetric property and definition in terms of permutations.
• 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.
• Most versions of the band Praxis have included guitarist Buckethead, but they have explored different permutations on albums.
• Some authors also permute certain moves, deviating from Kieseritzky's report, although such permutations typically give rise to a transposition in which a distinct line of play eventually returns to the moves and positions reported by Kieseritzky.
• 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.
• Knuth himself attributes the first study of multisets to the Indian mathematician Bhāskarāchārya, who described permutations of multisets around 1150.

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