permutation

change of ordering in a (mathematical) set
Intangible mathematical_concept Q161519
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permutation

Summary

permutation is a mathematical concept[1]. permutation ranks in the top 2% of mathematical_concept entities by monthly Wikipedia readership (880 views/month).[2]

Key Facts

  • permutation's video is recorded as -bertsomate- Permutazioak.webm[3].
  • permutation's instance of is recorded as mathematical concept[4].
  • permutation's instance of is recorded as integer-valued function[5].
  • permutation's instance of is recorded as unary function[6].
  • permutation's subclass of is recorded as bijection[7].
  • permutation's Commons category is recorded as Permutations[8].
  • permutation's BNCF Thesaurus ID is recorded as 32734[9].
  • permutation's Freebase ID is recorded as /m/0c0bw[10].
  • permutation's NL CR AUT ID is recorded as ph305885[11].
  • permutation's topic's main category is recorded as Category:Permutations[12].
  • permutation's Dewey Decimal Classification is recorded as 511.64[13].
  • permutation's PSH ID is recorded as 7154[14].
  • permutation's facet of is recorded as set of numbers with infinite decimal representation[15].
  • permutation's described by source is recorded as The Art of Computer Programming, Volume 1: Fundamental Algorithms, 3rd edition[16].
  • permutation's described by source is recorded as Otto's encyclopedia[17].
  • permutation's described by source is recorded as Meyers Konversations-Lexikon, 4th edition (1885–1890)[18].
  • permutation's Encyclopædia Britannica Online ID is recorded as topic/permutation[19].
  • permutation's has effect is recorded as sorting[20].
  • permutation's has characteristic is recorded as parity of a permutation[21].
  • permutation's different from is recorded as combination[22].
  • permutation's defining formula is recorded as \sigma: {1, 2, \ldots, n} \rightarrow {1, 2, \ldots, n}[23].
  • permutation's defining formula is recorded as \sigma : \begin{pmatrix} 1 & 2 & \dots & n \ \sigma_1 & \sigma_2 & \dots & \sigma_n\end{pmatrix}[24].
  • permutation's defining formula is recorded as P_n=n![25].
  • permutation's studied by is recorded as combinatorics[26].
  • permutation's disjoint union of is recorded as list of values as qualifiers[27].

Body

Works and Contributions

Things named for permutation include permutation graph[28], a self-complementary graph class[29].

Why It Matters

permutation ranks in the top 2% of mathematical_concept entities by monthly Wikipedia readership (880 views/month).[2] permutation has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[30] permutation is known by 38 alternative names across languages and contexts.[31]

Entities named for permutation include permutation graph[28], a self-complementary graph class[29].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . Nuovo soggettario. wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . Nuovo soggettario. Retrieved . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [28] . wikidata.org. → on this site

Inline context (facts about related entities)

  1. [29] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [30] . Wikidata sitelinks. wikidata.org.
  3. [31] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). permutation. Retrieved May 3, 2026, from https://4ort.xyz/entity/permutation
MLA “permutation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/permutation.
BibTeX @misc{4ortxyz_permutation_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{permutation}}, year = {2026}, url = {https://4ort.xyz/entity/permutation}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): permutation — https://4ort.xyz/entity/permutation (retrieved 2026-05-03)

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