binary relation

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binary relation

  • /ˈbaɪ.ner.i rɪˈleɪ.ʃən/ US

noun binary relations

  1. A subset of the Cartesian product A×A (the set of ordered pairs (a, b) of elements of A, alternatively written as A²). A partially ordered set #92;langleA,#92;varrho#92;rangle consists of a nonvoid set A and a binary relation #92;varrho on A, such that #92;varrho satisfies properties (P1)-(P3).

    Similar: homogeneous relation

  2. A subset of the Cartesian product A×B.

    Similar: heterogeneous relation

Similar: correspondence, dyadic relation, 2-place relation

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noun order theory

Españolrelación binaria
日本語二項関係 nikō-kankei
Françaisrelation binaire
Italianorelazione binaria
Românărelație binară

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MLA

"binary relation." Wiktionary, via Micwyn, micwyn.com/word/binary%20relation. Accessed 6 Nov. 2026.

APA

binary relation. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/binary%20relation

Chicago

"binary relation." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/binary%20relation.

BibTeX
@misc{binary_relation_2026,
  title = {binary relation},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/binary%20relation},
  urldate = {2026-11-06}
}