Definition of Permutation

1. Noun. An event in which one thing is substituted for another. "The replacement of lost blood by a transfusion of donor blood"

2. Noun. The act of changing the arrangement of a given number of elements.
Generic synonyms: Mathematical Operation, Mathematical Process, Operation
Derivative terms: Permute

3. Noun. Complete change in character or condition. "The permutations...taking place in the physical world"
Generic synonyms: Transformation, Translation

4. Noun. Act of changing the lineal order of objects in a group.
Generic synonyms: Reordering
Derivative terms: Permute

Definition of Permutation

1. n. The act of permuting; exchange of the thing for another; mutual transference; interchange.

Definition of Permutation

1. Noun. (mathematics) A one-to-one mapping from a finite set to itself. ¹

2. Noun. (mathematics combinatorics) An ordering of a finite set of distinct elements. ¹

3. Noun. (music) A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde. ¹

¹ Source:

Definition of Permutation

1. [n -S]

Medical Definition of Permutation

1. 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. 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. Any one of such possible arrangements. 3. 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. Origin: L. Permutatio: cf. F. Permutation. See Permute. Source: Websters Dictionary (01 Mar 1998)

Permutation Pictures

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Lexicographical Neighbors of Permutation

permutation (current term)
permutation lock

Literary usage of Permutation

Below you will find example usage of this term as found in modern and/or classical literature:

1. An Introduction to the Theory of Groups of Finite Order by Harold Hilton (1908)
"Every regular permutation is a power of a circular permutation. Ex. 11. Express (135 12) (276 11) (4 8 10) as a power of a ..."

2. Algebra: An Elementary Text Book for the Higher Classes of Secondary Schools by George Chrystal (1889)
"In other words, if the n letters were printed on n separate counters each permutation or combination could be actually selected and set down before our eyes ..."

3. The Encyclopedia Americana: A Library of Universal Knowledge (1918)
"(a) Designate by « the number of inversions in the permutation hij . . . I and by v the number of interchanges of two elements necessary to bring the given ..."

4. A New Collection of Laws, Charters and Local Ordinances of the Governments by Joseph M. White, Ignacio Jordán de Assó y del Río (1839)
"THE fourth onerous contract is that of exchange or permutation. ... Actual permutation must take place before the contract was perfect; ..."

5. Isis Unveiled: A Master Key to the Mysteries of Ancient and Modern Science by Helena Petrovna Blavatsky (1919)
"Until the present day uninitiated Kabalists and Masons believe permutation to be synonymous with transmigration and metempsychosis. ..."

6. The Life of Bismarck, Private and Political: With Descriptive Notices of His by George Hesekiel (1870)
"The permutation, as it was called, did not alter the ... That the permutation also had its effect in manifold ways on the character of the family can not be ..."

7. Proceedings of the Royal Society of Edinburgh by Royal Society of Edinburgh (1900)
"Cauchy's rule may thus be formulated :—If K be the number of circular substitutions necessary to transform tlie given permutation into the standard ..."

8. Elementary Co-ordinate Geometry for Collegiate Use and Private Study by William Benjamin Smith (1886)
"distinct straight permutation, the number of straight permutations of n things is n ... The number of inversions in any permutation is found by counting the ..."

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