identity element

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Definitions from WordNet

Noun identity element has 1 sense

identity, identity element, identity operator - an operator that leaves unchanged the element on which it operates; "the identity under numerical multiplication is 1"
--₁ is a kind of operator

Definitions from the Web

Identity Element

A identity element refers to an element in a set that, when combined with another element using a certain operation, leaves the second element unchanged.

Sense 1:

Noun - In mathematics, an identity element is a unique element within a set that, when operated upon with other elements, does not change the value of those elements.

Example sentence:

One of the most well-known examples of an identity element is the number 1 in multiplication. When any number is multiplied by 1, the result is always the original number.

Sense 2:

Noun - In computer science, an identity element is a special value or object that does not change the state of an operation when combined with other elements.

Example sentence:

In programming, the identity element for the logical OR operation is false because when it is combined with any other boolean value using the OR operator, the result will be the same as the other value.

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