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词汇 equivalence class
释义

Definition of equivalence class in English:

equivalence class

noun
Mathematics Logic
  • The class of all members of a set that are in a given equivalence relation.

    〔数,逻〕等价类

    Example sentencesExamples
    • And if they don't, maybe there is another bound in this equivalence class that needs to be worked out.
    • In general, it is fairly straightforward to define an equivalence class for events with physical definitions such as plane crashes, shark attacks, and lung cancer deaths.
    • One is what I call categorical, where a category defines an equivalence class.
    • Assertions had meaning in virtue of their verification conditions, and propositions were defined just as an equivalence class of sentences with the same verification conditions.
    • However he proved important results on canonical matrices as representatives of equivalence classes of matrices.

Definition of equivalence class in US English:

equivalence class

nouniˈkwivələns ˌklas
Logic Mathematics
  • The class of all members of a set that are in a given equivalence relation.

    〔数,逻〕等价类

    Example sentencesExamples
    • In general, it is fairly straightforward to define an equivalence class for events with physical definitions such as plane crashes, shark attacks, and lung cancer deaths.
    • One is what I call categorical, where a category defines an equivalence class.
    • Assertions had meaning in virtue of their verification conditions, and propositions were defined just as an equivalence class of sentences with the same verification conditions.
    • And if they don't, maybe there is another bound in this equivalence class that needs to be worked out.
    • However he proved important results on canonical matrices as representatives of equivalence classes of matrices.
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