binary relation
/ˈbaɪ.ner.i rɪˈleɪ.ʃən/
Word Rarity
Rare
Frequency: Zipf frequency 3.79 in modern English
19
Scrabble Score
14
Letters
5
Syllables
10
Unique Chars
Meaning
noun
A subset of the Cartesian product A×A (the set of ordered pairs (a, b) of elements of A, alternatively written as A²).
noun
A subset of the Cartesian product A×B.
Example Sentences
- "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 (≠)."
- "Definition If E is a non-empty set then by an order on E we mean a binary relation on E that is reflexive, anti-symmetric, and transitive."
Regional Pronunciation
- American English: /ˈbaɪ.ner.i rɪˈleɪ.ʃən/
Inflected Forms
Phrases
nil relation
universal relation
Frequently Paired Words
nil relation
universal relation