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What does idempotent mean?

Looking for the meaning or definition of the word idempotent? Here's what it means.

Adjective
  1. (mathematics) Said of a function: describing an action which, when performed multiple times on the same subject, has no further effect on its subject after the first time it is performed.
  2. (mathematics) Said of an element of an algebraic structure with a binary operation (such as a group or semigroup): when the element operates on itself, the result is equal to itself.
  3. (mathematics) Said of a binary operation: that all of the distinct elements it can operate on are idempotent (in the sense given just above).
  4. (mathematics) Said of an algebraic structure: having an idempotent operation (in the sense above).
Noun
  1. (mathematics) An idempotent element.
  2. (mathematics) An idempotent structure.
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