Definition of Permutations. Meaning of Permutations. Synonyms of Permutations

Here you will find one or more explanations in English for the word Permutations. Also in the bottom left of the page several parts of wikipedia pages related to the word Permutations and, of course, Permutations synonyms and on the right images related to the word Permutations.

Definition of Permutations

Permutation
Permutation Per`mu*ta"tion, n. [L. permutatio: cf. F. permutation. See Permute.] 1. The act of permuting; exchange of the thing for another; mutual transference; interchange. The violent convulsions and permutations that have been made in property. --Burke. 2. (Math.) (a) The arrangement of any determinate number of things, as units, objects, letters, etc., in all possible orders, one after the other; -- called also alternation. Cf. Combination, n., 4. (b) Any one of such possible arrangements. 3. (Law) Barter; exchange. Permutation lock, a lock in which the parts can be transposed or shifted, so as to require different arrangements of the tumblers on different occasions of unlocking.

Meaning of Permutations from wikipedia

- different are also permutations: the letters are already ordered in the original word, and the anagram reorders them. The study of permutations of finite sets...
- 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...
- term counts the number of partial permutations with support of size i, that is, the number of partial permutations with i non-hole entries. Alternatively...
- Combinations and permutations in the mathematical sense are described in several articles. Described together, in-depth: Twelvefold way Explained separately...
- non-negative. There are two natural one-to-one correspondences between permutations and permutation matrices, one of which works along the rows of the matrix, the...
- article on random permutations contains an introduction to random permutations. Permutations are sets of labelled cycles. Using the labelled case of the Flajolet–Sedgewick...
- 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...
- definition to include permutations with fixed points in addition to at most one non-trivial cycle. In cycle notation, cyclic permutations are denoted by the...
- enumeration of permutations avoiding a fixed (and typically short) permutation or set of permutations. Let Avn(B) denote the set of permutations of length...
- random permutations, such as the "overlapping permutations" test of the Diehard tests. A typical form of such tests is to take some permutation statistic...