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).
Source: wiktionary
Binary relation
/ˈbaɪ.ner.i rɪˈleɪ.ʃən/
Synonyms for "binary relation" (4 found)
Ranked by relevance and common usage.
Closest matches (1)
Noun(1 words)
2-place relation
Strong matches (1)
Noun(1 words)
Related words (2)
Noun(2 words)
dyadic relationpairwise relation
Translations
12 translations across 10 languages.
Czech
1 entries- binární relace noun (order theory)
Finnish
1 entries- binäärirelaatio noun (order theory)
French
1 entries- relation binaire noun (order theory)
Hungarian
1 entries- kétváltozós reláció noun (order theory)
Icelandic
1 entries- tvístæð vensl noun (order theory)
Italian
1 entries- relazione binaria noun (order theory)
Japanese
1 entries- 二項関係 noun (order theory)
Polish
3 entries- relacja binarna noun (order theory)
- relacja dwuargumentowa noun (order theory)
- relacja dwuczłonowa noun (order theory)
Romanian
1 entries- relație binară noun (order theory)
Spanish
1 entries- relación binaria noun (order theory)
Sample sentences
3 total sentences available.
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 (≠).
Source: wiktionary
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.
Source: wiktionary