Meaning

(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..

Definitions by Sense

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

Example Sentences

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.

Every finite semigroup has an idempotent element.

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

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

Word Forms

• idempotents

Related Words

When Should You Use Idempotent?

Use idempotent when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.

Practice This Word

Frequently Asked Questions