idempotent background

idempotent

/aɪ.dəmˈpoʊ.tənt/

Illustration idempotent - Image 1

noun

冪等元

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. "

プログラミングにおいて、変数をゼロに設定することは冪等元です。複数回行っても、一度行うのと同じ効果があります。

math computing logic

Illustration idempotent - Image 1

noun

べき等構造

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. "

あなたの家のシンプルな電灯スイッチは、べき等構造の例です。'オン'の位置から続けて2回切り替えると電灯は点灯したままで、'オフ'の位置から2回切り替えると電灯は消えたままです。

math computing logic structure science system function technical

Illustration idempotent - Image 1

adjective

冪等

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. "

ビデオ通話の「ミュート」ボタンは冪等です。何度も押しても、1回押す以上にミュートになることはありません。

technology computing math logic function

Illustration idempotent - Image 1

adjective

冪等な

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."

すべての群は、その単位元である、一意な冪等な元を持ちます。

math logic theory technical system function structure computing element science

Illustration idempotent - Image 1

adjective

冪等

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."

AND論理演算子は交換的、結合的、冪等であるため、それ自身に関して分配されます。

math logic technical computing

Illustration idempotent - Image 1

adjective

冪等な

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. "

ライトスイッチは冪等になるように設計されています。一度オンにするとライトが点灯し、すでにオンになっているときに再度オンにしても何も起こりません。

math logic technical computing science