Meaning

4 senses
  1. (not comparable)(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.

    idempotent

    идемпоте́нтныйidempoténtnyj

  2. (not comparable)(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. (not comparable)(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. (not comparable)(said of an algebraic structure) Having an idempotent operation (in the sense given above).

More definitions
  • unchanged in value following multiplication by itself

Translations

6 languages
Русский
By meaning 1
mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed:
Deutsch
By meaning 1
mathematics: an action which, when performed multiple time, has no further effect on its subject after the first time it is performed:

Origin

From Latin roots idem (“same”) + potent (“having power”), thus “having the same power”. Co

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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