symmetric function

function that is invariant under all permutations of its variables
Thing general Q981351
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symmetric function

Summary

symmetric function ranks in the top 2% of general entities by monthly Wikipedia readership (39 views/month).[1]

Key Facts

  • symmetric function's Library of Congress authority ID is recorded as sh85131434[2].
  • symmetric function's subclass of is recorded as function[3].
  • symmetric function's part of is recorded as ring of symmetric functions[4].
  • symmetric function's Freebase ID is recorded as /m/05_5rvd[5].
  • symmetric function's NL CR AUT ID is recorded as ph1279202[6].
  • symmetric function's has characteristic is recorded as symmetry[7].
  • symmetric function's different from is recorded as symmetric operator[8].
  • symmetric function's defining formula is recorded as \forall x_1, \dots, x_n B(x_{\sigma(1)}, \ldots, x_{\sigma(n)})=B(x_1, \ldots, x_n)[9].
  • symmetric function's MathWorld ID is recorded as SymmetricFunction[10].
  • symmetric function's Open Library subject ID is recorded as symmetric_functions[11].
  • symmetric function's nLab ID is recorded as symmetric function[12].
  • symmetric function's Treccani's Enciclopedia Italiana ID is recorded as funzioni-simmetriche[13].
  • symmetric function's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • symmetric function's Microsoft Academic ID is recorded as 3746008[15].
  • symmetric function's Encyclopedia of Mathematics article ID is recorded as Symmetric_function[16].
  • symmetric function's National Library of Israel J9U ID is recorded as 987007553677805171[17].
  • symmetric function's KBpedia ID is recorded as SymmetricFunctions[18].
  • symmetric function's OpenAlex ID is recorded as C3746008[19].

Why It Matters

symmetric function ranks in the top 2% of general entities by monthly Wikipedia readership (39 views/month).[1] It has Wikipedia articles in 18 language editions, a strong signal of global cultural recognition.[20] It is known by 7 alternative names across languages and contexts.[21]

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . Freebase Data Dumps. wikidata.org.
  5. [6] . Czech National Authority Database. Retrieved . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . KBpedia. Retrieved . wikidata.org.
  18. [19] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . Wikidata sitelinks. wikidata.org.
  3. [21] . 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). symmetric function. Retrieved April 10, 2026, from https://4ort.xyz/entity/symmetric-function
MLA “symmetric function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/symmetric-function.
BibTeX @misc{4ortxyz_symmetric-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{symmetric function}}, year = {2026}, url = {https://4ort.xyz/entity/symmetric-function}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): symmetric function — https://4ort.xyz/entity/symmetric-function (retrieved 2026-04-10)

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