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Definition of the noun Additive identity

What does Additive identity mean as a name of something?

noun

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.

Explanation

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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Comprehensive Objective Book For Aieee (2006)

by Narinder Kumar, Dr. J. K. Juneja, Dr. N. K. Verma, Dr. Kulbhushan Prakash

A + Omxn = Omxn + A = Oroxn (Om x n is called additive identity ) ...

The 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 ...

CRC Concise Encyclopedia of Mathematics, Second Edition (2002)

by Eric W. Weisstein

Kaplan SAT Score-Raising Math Dictionary (2008)

A Fun and Effective Way to Learn 200 of the Most Frequently Tested SAT Math Terms and Concepts by Jeanine Le Ny

identity the number when added or multiplied by a given number gives a result of the same given number; the additive identity ...

Concise 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 ...

Historical 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 ...

Encyclopedia of Cryptography and Security (2011)

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 ...

Dictionary 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 ...

Concept 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 ...

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