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Meaning of "identity element" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF IDENTITY ELEMENT

identity element  [aɪˈdɛntɪtɪ ˈɛlɪmənt] play
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GRAMMATICAL CATEGORY OF IDENTITY ELEMENT

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Identity element is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES IDENTITY ELEMENT MEAN IN ENGLISH?

Identity element

In mathematics, an identity element is a special type of element of a set with respect to a binary operation on that set. It leaves other elements unchanged when combined with them. This is used for groups and related concepts. The term identity element is often shortened to identity when there is no possibility of confusion. Let be a set S with a binary operation ∗ on it. Then an element e of S is called a left identity if ea = a for all a in S, and a right identity if ae = a for all a in S. If e is both a left identity and a right identity, then it is called a two-sided identity, or simply an identity. An identity with respect to addition is called an additive identity and an identity with respect to multiplication is called a multiplicative identity. The distinction is used most often for sets that support both binary operations, such as rings. The multiplicative identity is often called the unit in the latter context, where, though, a unit is often used in a broader sense, to mean an element with a multiplicative inverse.

WORDS THAT RHYME WITH IDENTITY ELEMENT


aliment
ˈælɪmənt
complement
ˈkɒmplɪmənt
compliment
ˈkɒmplɪmənt
deployment
dɪˈplɔɪmənt
element
ˈɛlɪmənt
employment
ɪmˈplɔɪmənt
enjoyment
ɪnˈdʒɔɪmənt
experiment
ɪkˈspɛrɪmənt
habiliment
həˈbɪlɪmənt
implement
ˈɪmplɪmənt
jolliment
ˈdʒɒlɪmənt
microelement
ˈmaɪkrəʊˌɛlɪmənt
multielement
ˌmʌltɪˈɛlɪmənt
payment
ˈpeɪmənt
radioelement
ˌreɪdɪəʊˈɛlɪmənt
sentiment
ˈsɛntɪmənt
supplement
ˈsʌplɪmənt
thermoelement
ˌθɜːməʊˈɛlɪmənt
unemployment
ˌʌnɪmˈplɔɪmənt
unruliment
ʌnˈruːlɪmənt

WORDS THAT BEGIN LIKE IDENTITY ELEMENT

identification
identification mark
identification papers
identification parade
identification tag
identified
identifier
identifies
identify
Identikit
identities
identity
identity card
identity crisis
identity disc
identity hyphen
identity papers
identity parade
identity theft
identity theory

WORDS THAT END LIKE IDENTITY ELEMENT

abonnement
achievement
advertisement
agreement
amusement
announcement
apartment
arrangement
basement
enforcement
engagement
improvement
infringement
management
measurement
movement
placement
replacement
requirement
retirement
statement

Synonyms and antonyms of identity element in the English dictionary of synonyms

SYNONYMS

Translation of «identity element» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF IDENTITY ELEMENT

Find out the translation of identity element to 25 languages with our English multilingual translator.
The translations of identity element from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «identity element» in English.

Translator English - Chinese

单位元
1,325 millions of speakers

Translator English - Spanish

elemento de identidad
570 millions of speakers

English

identity element
510 millions of speakers

Translator English - Hindi

पहचान तत्व
380 millions of speakers
ar

Translator English - Arabic

عنصر الهوية
280 millions of speakers

Translator English - Russian

единичный элемент
278 millions of speakers

Translator English - Portuguese

elemento de identidade
270 millions of speakers

Translator English - Bengali

পরিচয় উপাদান
260 millions of speakers

Translator English - French

élément d´ identité
220 millions of speakers

Translator English - Malay

Elemen identiti
190 millions of speakers

Translator English - German

Identitätselement
180 millions of speakers

Translator English - Japanese

単位元
130 millions of speakers

Translator English - Korean

정체성 요소
85 millions of speakers

Translator English - Javanese

Unsur identitas
85 millions of speakers
vi

Translator English - Vietnamese

yếu tố bản sắc
80 millions of speakers

Translator English - Tamil

அடையாள உறுப்பு
75 millions of speakers

Translator English - Marathi

ओळख घटक
75 millions of speakers

Translator English - Turkish

Kimlik öğesi
70 millions of speakers

Translator English - Italian

elemento di identità
65 millions of speakers

Translator English - Polish

elementem tożsamości
50 millions of speakers

Translator English - Ukrainian

одиничний елемент
40 millions of speakers

Translator English - Romanian

element de identitate
30 millions of speakers
el

Translator English - Greek

στοιχείο ταυτότητας
15 millions of speakers
af

Translator English - Afrikaans

identiteit element
14 millions of speakers
sv

Translator English - Swedish

identitet elementet
10 millions of speakers
no

Translator English - Norwegian

identitet element
5 millions of speakers

Trends of use of identity element

TRENDS

TENDENCIES OF USE OF THE TERM «IDENTITY ELEMENT»

The term «identity element» is normally little used and occupies the 112.305 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
48
/100
The map shown above gives the frequency of use of the term «identity element» in the different countries.
Principal search tendencies and common uses of identity element
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «identity element».

FREQUENCY OF USE OF THE TERM «IDENTITY ELEMENT» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «identity element» during the past 500 years. Its implementation is based on analysing how often the term «identity element» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about identity element

EXAMPLES

10 ENGLISH BOOKS RELATING TO «IDENTITY ELEMENT»

Discover the use of identity element in the following bibliographical selection. Books relating to identity element and brief extracts from same to provide context of its use in English literature.
1
Introduction to Abstract Mathematics
Example 9 If an identity element exists in a system (S, *) where * is defined only by an operation table, it is easy to spot. Since it preserves the identity of each element and commutes with each, then all we need to do is look for a row and a ...
John F. Lucas, 1990
2
Algebra I: Chapters 1-3
( 1 ) In the set N of natural numbers 0 is an identity element under addition and 1 is an identity element under multiplication. Each of these two laws gives N a commutative monoid structure (Set Theory, III, § 3, no. 3). (2) In the set of subsets of a ...
N. Bourbaki, 1998
3
Proofs and Fundamentals: A First Course in Abstract Mathematics
Let A be a set, and let ∗ be a binary operation on A. An element e ∈ A is an identity element for ∗ if a∗e = a = e∗a for all a ∈ A. If ∗ has an identity element, the binary operation ∗ satisfies the Identity Law. △ Observe that we need to specify ...
Ethan D. Bloch, 2011
4
Identity in (inter)action: Introducing Multimodal ...
For example, a person might appropriate a certain cultural tool without being overtly aware, giving off a certain identity element, or the social actor may master another mediational means without appropriating it, giving off a different identity ...
Sigrid Norris, 2011
5
Mathematical Methods in Linguistics
But there is no left identity element; i.e., there is no element m in the set such that for all n, m - n = n. For commutative operations, every left identity element is also a right identity element, and vice versa. To see this, consider a left identity e.\ .
Barbara Partee, Alice ter Meulen, Robert Wall, 1990
6
Introduction to Abstract Algebra, Third Edition
(Another example, which we shall establish in chapter 8, is that every group whose order is the square of a prime is abelian.) 44.2 Every group of prime order is cyclic. Moreover, in a group of prime order p, every non-identity element (i.e. every ...
T.A. Whitelaw, 1995
7
Ideal Systems: An Introduction to Multiplicative Ideal Theory
The demand for the existence of an identity element and a zero element is not really a restriction, because if we are dealing with a semigroup in which one of them does not exist, we may adjoin it. Mostly we write (H,*) multiplicatively, a * b = a .
Franz Halter-Koch, 1998
8
Academic Press Dictionary of Science and Technology
Psychology, a person' s concept of self; the aggregate of characteristics by which a person is recognized by him- or herself and others. Mathematics. 1. see identity element. 2. an equation that is satisfied for all possible values of the variables.
Christopher G. Morris, 1992
9
Abstract Algebra
4.3 IDENTITY ELEMENT AND INVERSE ELEMENT So far, we have considered binary operations satisfying certain properties such as commutativity, associativity, etc. In this section, we will study elements satisfying some properties. Integers ...
I. H. Sheth, 2004
10
Basic Real Analysis
(2) There exists an element e C G (called the identity element) such that a • e = e • a = a Va G G (existence of an identity element). (3) For every a G G there exists a-1 G G (called the inverse of a) such that a □ a~x = a~l □ a = e (existence of ...
Houshang H. Sohrab, 2003

10 NEWS ITEMS WHICH INCLUDE THE TERM «IDENTITY ELEMENT»

Find out what the national and international press are talking about and how the term identity element is used in the context of the following news items.
1
OneDrive web UI gets a total redesign
Segoe is the core visual identity element throughout Microsoft's product ecosystem. Minimising the number of treatments, the team created a ... «TWCN Tech News, Jun 15»
2
RIOTUR – the city of Rio Tourism Board - is pleased to welcome first …
Important local artists participated in the project with their creations and they developed a unique visual identity element present throughout the ... «eTurboNews, May 15»
3
Experian launches enterprise fraud and ID business division in …
Experian has also launched its Identity Element Network which identifies real-time fraud volume and velocity linkages across multiple industries ... «Biometric Update, May 15»
4
Sylvan and saliferous! Nespresso sails on with Monsoon Malabar …
“We tried to integrate the strongest identity element of Nespresso in the cup design, which is the shape of the capsule,” David Geckeler and ... «Appliance Retailer, Mar 15»
5
Review: 'Second Best Exotic Marigold Hotel' a mini-Bollywood epic
When two new guests arrive on the same day director John Madden cues the screwball comedy, injecting a mistaken identity element into the ... «CTV News, Mar 15»
6
How might Agents of SHIELD affect the MCU?
The last thing I think they could do on Agents to set up for Civil War is to bring in the secret identity element. Of the superheroes we have so far, ... «moviepilot.com, Jan 15»
7
The pride and poaching of our heritage
Cultural heritage is a major identity element of any civilisation. Ironically, a country that prides itself on its sanskriti, barely makes an effort to ... «Chandigarh Tribune, Jan 15»
8
Foley is focused on Ford
"It's more of an identity element as well in how he gets his success - working out who we are and how we want to be portrayed when we play ... «Eurosport, Nov 14»
9
Bernard Foley swats up for ways to stop George Ford
'It's more of an identity element as well in how he gets his success - working out who we are and how we want to be portrayed when we play ... «Daily Mail, Nov 14»
10
Q&A: Stefano Rosso, CEO, OTB Group
... encouragement in order to bring ahead the course of Maison that for various years has been focusing on its non-identity element since Martin ... «SPORTSWEAR INTERNATIONAL, Oct 14»

REFERENCE
« EDUCALINGO. Identity element [online]. Available <https://educalingo.com/en/dic-en/identity-element>. May 2024 ».
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