English-Finnish translations for idempotent

• idempotentti
  Matriisi A on idempotentti, jos A2 = A.

Definition of idempotent

• ''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
• ''Said of an element of an algebraic structure with a binary operation '': when the element operates on itself, the result is equal to itself. result = "return value", i.e., it "returns" itself --
• ''Said of a binary operation'': that all of the distinct elements it can operate on are idempotent (in the sense given just above
• ''Said of an algebraic structure'': having an idempotent operation (in the sense above
• An idempotent element

Examples

• A projection operator is idempotent
• 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, then it distributes with respect to itself

Related words

• idempotence
• idempotency
• idempotent matrix