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発音

• (米国発音) IPA: /ˌaɪ.dəmˈpoʊ.tənt/, /ˌɪ.dəmˈpoʊ.tənt/, /aɪˈdɛm.pə.tənt/
• 韻: -əʊtənt

形容詞

idempotent (not comparable)

1. (mathematics, computing) (said of a function) Such that, when performed multiple times on the same subject, it has no further effect on its subject after the first time it is performed.

   A projection operator is idempotent.

   An HTTP request using the PUT verb should be idempotent, so that it can be sent to the server any number of times with the same end result.

2. (mathematics) (said of an element of an algebraic structure with a binary operation, such as a group or semigroup) Such that, when it operates on itself, the result is equal to itself.

   Every finite semigroup has an idempotent element.

   Every group has a unique idempotent element: namely, its identity element.

3. (mathematics) (said of a binary operation) Such that all of the distinct elements it can operate on are idempotent (in the sense given just above).

   Since the AND logical operator is commutative, associative, and idempotent, it distributes with respect to itself.

4. (mathematics) (said of an algebraic structure) Having an idempotent operation (in the sense given above).

使用する際の注意点

• See nullipotent§Usage notes.

等位語

• nilpotent
• nullipotent

派生語

関連する語

• idempotence
• nilpotent
• nullipotent
• unipotent

参考

• involutory

名詞

idempotent (plural idempotents)

1. (mathematics) An idempotent element.
2. (mathematics) An idempotent structure.

参照

• “idempotent” at FOLDOC