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词汇 irreflexive
释义

Definition of irreflexive in English:

irreflexive

adjectiveɪrɪˈflɛksɪvˌirəˈfleksiv
Logic
  • Denoting a relation which never holds between a term and itself.

    〔逻〕非自反的

    Example sentencesExamples
    • A strict order is one that is irreflexive and transitive; such an order is also trivially antisymmetric.
    • Since this cannot be true, the statement x not-R x must be true; therefore R is irreflexive.
    • G is an irreflexive, asymmetric and transitive relation.
    • But it is not irreflexive either, since 1 is related to itself.
    • A relation on a set is irreflexive provided that no element is related to itself.

Definition of irreflexive in US English:

irreflexive

adjectiveˌirəˈfleksiv
Logic
  • Denoting a relation which never holds between a term and itself.

    〔逻〕非自反的

    Example sentencesExamples
    • But it is not irreflexive either, since 1 is related to itself.
    • Since this cannot be true, the statement x not-R x must be true; therefore R is irreflexive.
    • A strict order is one that is irreflexive and transitive; such an order is also trivially antisymmetric.
    • G is an irreflexive, asymmetric and transitive relation.
    • A relation on a set is irreflexive provided that no element is related to itself.
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