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Header of Additive Identity

Additive identity

Definition of the noun Additive identity

What does Additive identity mean as a name of something?


  1. [algebra] An element of an algebraic structure, generally denoted 0, which is an identity for an additive operation (generally denoted +). That is, x + 0 = 0 + x = x for any x in the structure.


Additive identity: In mathematics the additive identity of a set which is equipped with the operation of addition is an element which, when added to any element x in the set, yields x. One of the most familiar additive identities is the number 0 from elementary mathematics, but additive identities occur in other mathematical structures where addition is defined, such as in groups and rings.

  • also known as 加法單位元

Printed dictionaries and other books with definitions for Additive identity

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Google previewBlackie’s Dictionary of Mathematics

by Blackie

additive identity The number zero is called the additive identity because when we add it to a number say 'N', the result we get is the same number N. additive inverse The opposite of a ...

Google previewThe Concise Oxford Dictionary of Mathematics (2014)

by Christopher Clapham, James Nicholson

additive identity The identity element under an operation of addition, usually denoted by 0, so aþ01⁄40þa 1⁄4a. additive inverse See inverse element. adherent point A point of the *closure of a set. ad infinitum Repeating infinitely ...

Google previewCRC Concise Encyclopedia of Mathematics, Second Edition (2002)

by Eric W. Weisstein

Additive identity: There exists an element 0 S such that for all a S : 0'a0a'00a; / 4.

Google previewConcise Dictionary of Mathematics (2012)

Additive Identity Property For any number a, a + 0 = 0 + a In words, adding zero to a number leavesthe numberunchanged, hence the “identical” number. Algebra A language that helps translate reallife situations into mathematical form so that ...

Google previewThe Relational Database Dictionary, Extended Edition (2008)

by Christopher Date

The elements 0 and 1 are called the additive identity and ...

Google previewHistorical Encyclopedia of Natural and Mathematical Sciences (2009)

by Ari Ben-Menahem

x + 0 = x additive identity (ii) x • 1 = x multiplicative identity (Hi) x + y = y + x \ , • , ,. \ ( commutative ...

Google previewDictionary of Classical and Theoretical Mathematics (2001)

by Catherine Cavagnaro, William T. Haight, II

The additive identity of an Abelian group A. The element denoted as 0 e A which ...

Google previewConcept S Dictionary Of Agricultural Sciences (1992)

by I. C. Gupta, S. K. Gupta

Zero The additive identity element of an algebraic system. Zero-access storage Computer storage for which waiting time is negligible. Zero adjuster A device for adjusting the pointer position of an instrument or metre to read zero when the ...

Google previewEncyclopedia of Cryptography and Security (2014)

by Henk C.A. van Tilborg, Sushil Jajodia

The additive identity 0 does not have a multiplicative inverse. Then (S*, ><) is a group with respect to the multiplication operation; it is called the multiplicative group of the ring, or sometimes the group of units. Nonzero elements x for which ...

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Video about Additive identity

Additive identity Meaning

Video shows what additive identity means. An element of an algebraic structure, generally denoted 0, which is an identity for an additive operation (generally ...

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