idempotent background

idempotent

/aɪ.dəmˈpoʊ.tənt/

Illustration idempotent - Image 1

noun

幂等元

An idempotent element.

Examples :

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

在编程中，将一个变量设为零就是一个幂等元；做一次和做多次的效果是一样的。

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Illustration idempotent - Image 1

noun

幂等结构

An idempotent structure.

Examples :

"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. "

你家里的普通电灯开关就是一个幂等结构的例子：如果灯是亮的，连续拨动两次开关仍然是亮；如果灯是灭的，连续拨动两次开关仍然是灭的。

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Illustration idempotent - Image 1

adjective

幂等的

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.

Examples :

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

我们视频通话中的“静音”按钮是幂等的：按多次和按一次的效果完全一样，不会让你比按一次更静音。

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Illustration idempotent - Image 1

adjective

幂等。

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.

Examples :

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

每个群都有一个唯一的幂等元素：也就是它的单位元。

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Illustration idempotent - Image 1

adjective

幂等的

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

Examples :

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

由于“与”逻辑运算符具有交换律、结合律和幂等性，因此它对自身具有分配律。

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Illustration idempotent - Image 1

adjective

等幂的，幂等的

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

Examples :

"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. "

这个灯开关被设计成具有幂等性；按一下灯亮，再按一下（灯已经亮着的情况下）也不会有任何改变。

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