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equivalence class

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Namely, a function (of "x") must be chosen within every (or at least almost every) equivalence class. en.wikipedia.org

Equivalently, the diamond may be considered as a set of pitch classes, where a pitch class is an equivalence class of pitches under octave equivalence. en.wikipedia.org

The initial definition of a cardinal number is an equivalence class of sets, where two sets are equivalent if there is a bijection between them. en.wikipedia.org

An important result is that for indefinite forms of dimension at least three, each spinor genus contains exactly one proper equivalence class. en.wikipedia.org

Because the actual sequence and the representative sequence are in the same equivalence class, their entries are the same after finitely many prisoners. en.wikipedia.org

When they are put into their line, each prisoner can see what equivalence class the "actual" sequence of hats belongs to. en.wikipedia.org

Since one can arbitrarily choose the representative element of an equivalence class, multiple canonical forms are possible for each equivalence criterion. en.wikipedia.org

In geometric studies, the idea of intersecting the diagonal "with itself" is common, not directly, but by perturbing it within an equivalence class. en.wikipedia.org

Those inputs which belong to the same equivalence class as defined by the equivalence partitioning theory would constitute the basis (topology). en.wikipedia.org

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