Visual meaning of 'idempotent'? - learn with images, example in daily life

Visual illustration of idempotent: An idempotent element.

noun

An idempotent element.

"In programming, setting a variable to zero is an idempotent; doing it multiple times has the same effect as doing it once. "

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Visual illustration of idempotent: An idempotent structure.

noun

An idempotent structure.

"The simple light switch in your house is an example of an idempotent: flipping it twice in a row from the 'on' position leaves the light on, and flipping it twice from the 'off' position leaves the light off. "

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Visual illustration 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.

adjective

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.

"The "mute" button on our video call is idempotent: pressing it multiple times won't make you any more muted than pressing it once. "

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Visual illustration of idempotent: 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.

adjective

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.

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

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Visual illustration of idempotent: Said of a binary operation: that all of the distinct elements it can operate on are idempotent (in the sense given just above).

adjective

Said of a binary operation: 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, then it distributes with respect to itself."

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Visual illustration of idempotent: Said of an algebraic structure: having an idempotent operation (in the sense above).

adjective

Said of an algebraic structure: having an idempotent operation (in the sense above).

"The light switch is designed to be idempotent; flipping it once turns the light on, and flipping it again while it's already on does nothing. "

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