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Definition of Identity Element in English :

Define Identity Element in English

Identity Element meaning in English

Meaning of Identity Element in English

Pronunciation of Identity Element in English

Identity Element pronunciation in English

Pronounce Identity Element in English

Identity Element

see synonyms of identity element

Noun

1. identity, identity element, identity operator

an operator that leaves unchanged the element on which it operates

Example Sentences:
'the identity under numerical multiplication is 1'

WordNet Lexical Database for English. Princeton University. 2010.

Identity Element

see synonyms of identity element
noun
another name for identity (sense 8b)

Collins English Dictionary. Copyright © HarperCollins Publishers

Identity Element

see synonyms of identity element
an element of a mathematical system that does not change the other elements in the system when it operates on them: zero is the identity element for addition (x + 0 = x) and one is the identity element for multiplication (y × 1 = y)

Webster’s New World College Dictionary, 4th Edition. Copyright © 2010 by Houghton Mifflin Harcourt. All rights reserved.

Identity Element

see synonyms of identity element
n.
The element of a set of numbers that when combined with another number in a particular operation leaves that number unchanged. For example, 0 is the identity element under addition for the real numbers, since if a is any real number, a + 0 = 0 + a = a. Similarly, 1 is the identity element under multiplication for the real numbers, since a × 1 = 1 × a = a. Also called unity.

The American Heritage ® Dictionary of the English Language, Fifth Edition copyright ©2018 by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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