最終更新日：2024/08/07

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(mathematics, given some set and an equivalence relation on that set) the set consisting of all equivalence classes

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quotient set

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quotient set

noun

(mathematics, given some set and an equivalence relation on that set) the set consisting of all equivalence classes

The quotient set is a fundamental concept in mathematics.

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(mathematics, given some set and an equivalence relation on that set) the set consisting of all equivalence classes

Given the set of integers ℤ, and the equivalence relation a∼b⟺a≡b( mod 2)⟺(a-b)%2=0, the quotient set is written ℤ/∼=̄0,̄1, consisting of the even and the odd integers.

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quotient set

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