binary relation
/ˈbaɪ.ner.i rɪˈleɪ.ʃən/
"binary-relation" is a 14-letter English headword indexed on PlainSpell.
The verdict
“binary relation” is uncommon English (outside the top frequency list), classed as a noun. The kind of spelling people second-guess.
- Unranked
- below top-frequency English
- 15
- letters
According to Wiktionary data (CC BY-SA, analyzed September 3, 2026) - A subset of the Cartesian product A×A (the set of ordered pairs (a, b) of elements of A, alternatively written as A²).
Corpus desk
Index EN-binary-relation · binary relation · English
binary relation · unranked · 0 variants · 0 confusables
- FREQ-UNRANKED Unranked
- LEN-MEGA 15 letters
- VOW-7 7 vowels
- CONFUS-0 No pairs
- VAR-0 0 variants
- BOOK-THIN "B" thin
- PHOTO-UNK Peer pending
Read with this headword: Spelling guide for this pattern
Desk codes from Wiktionary headword shape, FrequencyWords rank tier, confusable-pair count, generated misspelling depth, letter-cohort book size, and photo-finish peer. Not a difficulty grade.
| Property | Value |
|---|---|
| Headword | binary relation |
| Language | English |
| Part of speech | Noun |
| IPA | /ˈbaɪ.ner.i rɪˈleɪ.ʃən/ |
| Letters | 15 |
| Misspellings tracked | 0 |
| Confusable pairs | 0 |
| Source | Wiktionary (kaikki.org) |
Long-tail rank of “binary relation” in English
Rare enough to double-check
binary relation is uncommon English outside the top frequency list, classed as anoun, transcribed /ˈbaɪ.ner.i rɪˈleɪ.ʃən/. Rarity is why readers land here mid-draft. 2 senses are on record.
No misspelling variants are generated for binary relation in our index, suggesting the orthography follows predictable English patterns. Our confusable-pair dataset has no match for it, since no other headword is close enough in sound or shape to pair with it.
No explicit etymology string is stored for this entry, so any spelling logic here comes from how the word's sounds map to letters, not a documented origin story. The correct English form is binary relation, spelled B-I-N-A-R-Y- -R-E-L-A-T-I-O-N.
Definition
- 1A subset of the Cartesian product A×A (the set of ordered pairs (a, b) of elements of A, alternatively written as A²).
- 2A subset of the Cartesian product A×B.
Recorded use
Wiktionary examplesThese source excerpts show how binary relation appears in context. They illustrate usage; the definition above remains the entry’s reference meaning.
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).
1.30. Corollary. If P is a binary relation which is asymmetric and negatively transitive, then P is also transitive. It should be noted that a binary relation may be irreflexive and negatively transitive without being transitive; as an example, consider the standard inequality relation (≠).
Synonyms
This word in other languages
Definitions, pronunciation, and etymology for this entry are drawn from Wiktionary via the kaikki.org structured extract (CC BY-SA). See the methodology for how each field is sourced and updated.