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Permutation

In mathematics, a permutation of a set can mean one of two different things:

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Overview

History

Definition

Notations

Other uses of the term permutation

Properties

Permutations of totally ordered sets

Permutations in computing

Bibliography

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Permutation

Nodes158
Edges157
Triples241
Avg. degree1.99
Density0.012658
Components1

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Permutation

Top relations

related to Bibliography · 83
Permutation → Addison, Addison-Wesley, Advanced Modern Algebra, Algebra, Algebraic Structures, Algorithms, Allyn, Bacon, Bogart, Boston, C1, Cambridge University Press, Campanalogia, Chapman Hall-CRC, Cn, Co, College Youths, Combinatorics, Computer Programming, CRC Press
related to Further reading · 38
Permutation → ACM Computing Surveys, Addison, Berlin, Biggs, Bruhat, Combinatorial Properties, Computer Programming, Discrete Mathematics, Dominique, Donald, Enumeration, Heidelberg, ISBN, Knuth, Kobayashi, LaTeX'ed, Lecture Notes, Marcel-Paul, Masato, Mathematics
related to history · 12
Permutation → BC, Chalcedon, China, Ching, Greek, In Greece, Permutation-like, Pinyin, Plutarch, This, Xenocrates, Yi Jing
related to Algorithms to generate permutations · 8
Permutation → An, Another, For, However, In, Lehmer, The, With
related to Matrix representation · 7
Permutation → For, In, It, One, Since, That, There
related to Numbering permutations · 7
Permutation → In, Lehmer, More, One, Since, The, This
has application · 6
Permutation → Also, Long Term Evolution, One, Permutations, Such, Unique Permutation Hashing
related to Circular permutations · 6
Permutation → An, If, Permutations, The, These, Two
related to Parity of a permutation · 5
Permutation → Although, Every, Then, This, Thus
related to Permutations of multisets · 5
Permutation → An, For, If, In, MISSISSIPPI

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Important terminology

displaystyle permutations sigma one number elements sequence set order cycle element notation example first two function given also ordered values

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Permutationis afunction that performs a rearrangement of a set0.90text
Permutationis aordered arrangement of elements of M in which each element appears a number of times equal exactly to its multiplicity in M0.90text
Permutationis anonempty increasing contiguous subsequence that cannot be extended at either end0.90text
Permutationis alast permutation.Find the largest index l greater than k such that a0.90text
Permutationhas applicationPermutations0.60section
Permutationhas applicationLong Term Evolution0.60section
Permutationhas applicationSuch0.60section
Permutationhas applicationOne0.60section
Permutationhas applicationAlso0.60section
Permutationhas applicationUnique Permutation Hashing0.60section
Permutationrelated to Algorithms to generate permutationsIn0.60section
Permutationrelated to Algorithms to generate permutationsThe0.60section

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