Definition of equivalence class in English:

equivalence class


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

    • ‘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.’
    • ‘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.’
    • ‘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.’