Last Updated：2025/12/06

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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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Source Word

quotient set

Noun

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

Japanese Meaning

ある集合とその集合上の同値関係に基づいて定義される、全ての同値類から構成される集合。 / 商集合（しょうしゅうごう）

What is this buttons?

To compute the quotient set, we partitioned the original set by the equivalence relation and examined each equivalence class.

Google Translation / DeepL Translation

商集合を求めるために、元の集合を同値関係で分割し、各同値類を調べました。

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Sense（1）

(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 sets

（ plural ）

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quotient set

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quotient set

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