Aussprachen
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/ˈbaɪ.ner.i rɪˈleɪ.ʃən/
Hinweise zur Aussprache
- General-American
Substantiv
A subset of the Cartesian product A×A (the set of ordered pairs (a, b) of elements of A, alternatively written as A²).
- Synonyme
- homogeneous relation
- Beispiele
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Weitere Beispiele (2)
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.
A subset of the Cartesian product A×B.
- Synonyme
- heterogeneous relation