permutation

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per·mu·ta·tion

(pûr′myo͝o-tā′shən)
n.
1.
a. The process of altering the order of a given set of objects in a group.
b. The result of such a process; a rearrangement or recombination of elements: permutations of gene order.
c. Mathematics A rearrangement of the elements of a set.
2. A complete change; a transformation: the country's permutation into a modern democracy.

permutation

(ˌpɜːmjʊˈteɪʃən)
n
1. (Mathematics) maths
a. an ordered arrangement of the numbers, terms, etc, of a set into specified groups: the permutations of a, b, and c, taken two at a time, are ab, ba, ac, ca, bc, cb.
b. a group formed in this way. The number of permutations of n objects taken r at a time is n!/(nr)!. Symbol: nPr Compare combination6
2. a combination of items made by reordering
3. an alteration; transformation
4. (Gambling, except Cards) a fixed combination for selections of results on football pools. Usually shortened to: perm
[C14: from Latin permūtātiō, from permūtāre to change thoroughly; see mutation]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

per•mu•ta•tion

(ˌpɜr myʊˈteɪ ʃən)

n.
1. the act of permuting or permutating; alteration; transformation.
2. Math.
a. the act of changing the order of set elements arranged in a particular way, as abc into acb or bac.
b. any of the resulting arrangements. Compare combination (def. 8).
[1325–75; Middle English permutacioun (< Anglo-French, Middle French) < Latin permūtātiō= permūtā(re) to permute + -tiō -tion]
per`mu•ta′tion•ist, n.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 permutation - an event in which one thing is substituted for another; "the replacement of lost blood by a transfusion of donor blood"variation, fluctuation - an instance of change; the rate or magnitude of change 2 permutation - the act of changing the arrangement of a given number of elementsmathematical operation, mathematical process, operation - (mathematics) calculation by mathematical methods; "the problems at the end of the chapter demonstrated the mathematical processes involved in the derivation"; "they were learning the basic operations of arithmetic" 3 permutation - complete change in character or condition; "the permutations...taking place in the physical world"- Henry Millertranslation, transformation - the act of changing in form or shape or appearance; "a photograph is a translation of a scene onto a two-dimensional surface" 4 permutation - act of changing the lineal order of objects in a groupreordering - a rearrangement in a different order
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

permutation

noun an infinite variety of permutations
Collins Thesaurus of the English Language – Complete and Unabridged 2nd Edition. 2002 © HarperCollins Publishers 1995, 2002

permutation

noun
The process or result of making or becoming different:
Translations
إبْدال، تَبْديل
obměna
kombinationsmulighed
permutáció
umröîun, umbreyting
kombinacijasukeitimas
kombinācijapermutācija
permutácia
devşirimpermitasyon

permutation

[ˌpɜːmjʊˈteɪʃən] N
1. (Math) [of number] →
2. (= variety, combination) →
Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

permutation

[ˌpɜːrmjʊˈteɪʃən] n
Collins English/French Electronic Resource. © HarperCollins Publishers 2005

permutation

nPermutation f
Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

permutation

[ˌpɜːmjʊˈteɪʃn] n
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995

permutation

(pəːmjuˈteiʃən) noun
a particular order in which things are arranged. We can write down these numbers in various permutations.
Kernerman English Multilingual Dictionary © 2006-2013 K Dictionaries Ltd.
References in classic literature ?
Meantime, as life wears on, it proves a game of permutation and combination of all possible positions of the parties, to employ all the resources of each and acquaint each with the strength and weakness of the other.
A was undermining B, D was undermining C, and so on in all possible combinations and permutations. In all these plottings the subject of intrigue was generally the conduct of the war, which all these men believed they were directing; but this affair of the war went on independently of them, as it had to go: that is, never in the way people devised, but flowing always from the essential attitude of the masses.
Gauss, begins its autopsies of the victims of two seemingly unrelated homicides, Arnie Integer and Daisy Permutation, they discover the most extraordinary similarities between the structures of each body.
From now on, we will use the terms ordering and permutation of variables indistinctly.
Unfortunately, this kind of permutation strategy suffers from two main disadvantages, that is, the periodicity of discretized version of chaotic maps and applicability to only square images [2-4].
Radviz visualizes three dimensional space data set that is not affected by permutation. Figure 3 (right) shows the 3D data set with iRadviz using viewpoint (1, 1, 1) where the seven clusters are perfectly separated.
Wigner function was recognized to contain permutation symmetry in its structure [12].
As a result, a new RF fingerprinting method based on multidimension permutation entropy is proposed.
We refer to the proposed scheme as partial permutation based encryption scheme.
For the optimal assignment, Kontoleon [17] gave an iterative algorithm to calculate the optimal permutation. This algorithm could assign the component with the lowest reliability into all the positions in the system and order the component based on the Birnbaum importance and finally place the component into the system through iterative allocation.
F(x) over [mathematical expression not reproducible] is EA-equivalent to permutation if and only if there is linear mapping L(x) such that F(x) + L(x) is permuted on [mathematical expression not reproducible].

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