Phrase guide

binary relation

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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  • General-American: /ˈbaɪ.ner.i rɪˈleɪ.ʃən/
  • General-American: Recorded audio is listed in the source snapshot.

1

noun

Meaning 1

A subset of the Cartesian product A×A (the set of ordered pairs (a, b) of elements of A, alternatively written as A2).

Definition source: English Wiktionary via Wiktextract

Qualifier: "on" a set A

Topics: mathematics, order-theory, sciences, set-theory

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: homogeneous relation

Antonyms: none provided

2

noun

Meaning 2

A subset of the Cartesian product A×B.

Definition source: English Wiktionary via Wiktextract

Qualifier: "on" or "between" sets A and B

Topics: mathematics, order-theory, sciences, set-theory

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: heterogeneous relation

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

12 source translations are retained for this English entry.

  • Czech: binární relace — order theory
  • Finnish: binäärirelaatio — order theory
  • French: relation binaire — order theory
  • Hungarian: kétváltozós reláció — order theory
  • Icelandic: tvístæð vensl — order theory
  • Italian: relazione binaria — order theory
  • Japanese: 二項関係 (nikō-kankei) — order theory
  • Polish: relacja dwuargumentowa — order theory
  • Polish: relacja dwuczłonowa — order theory
  • Polish: relacja binarna — order theory
  • Romanian: relație binară — order theory
  • Spanish: relación binaria — order theory