symmetric relation

type of binary relation
Thing general Q621461
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symmetric relation

Summary

symmetric relation ranks in the top 2% of general entities by monthly Wikipedia readership (43 views/month).[1]

Key Facts

  • symmetric relation's subclass of is recorded as endorelation[2].
  • symmetric relation's opposite of is recorded as asymmetric relation[3].
  • symmetric relation's Freebase ID is recorded as /m/01cgtq[4].
  • symmetric relation's has characteristic is recorded as symmetry[5].
  • symmetric relation's different from is recorded as symmetric constraint[6].
  • symmetric relation's different from is recorded as symmetric property[7].
  • symmetric relation's different from is recorded as inverse constraint[8].
  • symmetric relation's defining formula is recorded as \left( X, X, {(a,b) : \forall a, b \in X(a \mathcal{R} b \implies b \mathcal{R} a} \right)[9].
  • symmetric relation's MathWorld ID is recorded as SymmetricRelation[10].
  • symmetric relation's Quora topic ID is recorded as Symmetric-Relation[11].
  • symmetric relation's nLab ID is recorded as symmetric relation[12].
  • symmetric relation's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • symmetric relation's Microsoft Academic ID is recorded as 30812557[14].
  • symmetric relation's ProofWiki ID is recorded as Definition:Symmetric_Relation[15].
  • symmetric relation's in defining formula is recorded as X[16].
  • symmetric relation's in defining formula is recorded as a[17].
  • symmetric relation's in defining formula is recorded as b[18].
  • symmetric relation's in defining formula is recorded as \mathcal{R}[19].

Why It Matters

symmetric relation ranks in the top 2% of general entities by monthly Wikipedia readership (43 views/month).[1] It has Wikipedia articles in 24 language editions, a strong signal of global cultural recognition.[20] It is known by 13 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] . Freebase Data Dumps. wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . Mathematical Foundations of Computational Engineering. 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] . wikidata.org.
  18. [19] . 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 relation. Retrieved April 10, 2026, from https://4ort.xyz/entity/symmetric-relation
MLA “symmetric relation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/symmetric-relation.
BibTeX @misc{4ortxyz_symmetric-relation_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{symmetric relation}}, year = {2026}, url = {https://4ort.xyz/entity/symmetric-relation}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): symmetric relation — https://4ort.xyz/entity/symmetric-relation (retrieved 2026-04-10)

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