idempotent

名词 n. 形容词 adj.
中文释义
美 /ˌaɪ.dəmˈpoʊ.tənt/|/ˌɪ.dəmˈpoʊ.tənt/|/aɪˈdɛm.pə.tənt/

英文释义

名词 n.
  1. An idempotent element.
  2. An idempotent structure.
形容词 adj.
  1. (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. not-comparable
    — A projection operator is idempotent.
  2. (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. not-comparable
    — Every finite semigroup has an idempotent element.
  3. (said of a binary operation) Such that all of the distinct elements it can operate on are idempotent (in the sense given just above). not-comparable
    — Since the AND logical operator is commutative, associative, and idempotent, it distributes with respect to itself.
  4. (said of an algebraic structure) Having an idempotent operation (in the sense given above). not-comparable

词形变化

idempotents plural

词汇关系

衍生词
idempotently idempotentness nonidempotent
相关词
idempotence nilpotent nullipotent unipotent involutory
并列词
nilpotent nullipotent

词源

词源 1
From Latin roots idem (“same”) + potent (“having power”), thus “having the same power”. Coined in 1870 by American mathematician Benjamin Peirce in the context of algebra, later generalized to computer science.
词源 2
From Latin roots idem (“same”) + potent (“having power”), thus “having the same power”. Coined in 1870 by American mathematician Benjamin Peirce in the context of algebra, later generalized to computer science.
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