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integrality

Meaning of "integrality" in the English dictionary

DICTIONARY

PRONUNCIATION OF INTEGRALITY

ˌɪntɪˈɡrælɪtɪ


GRAMMATICAL CATEGORY OF INTEGRALITY

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Integrality 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 INTEGRALITY MEAN IN ENGLISH?

Integral element

In commutative algebra, an element b of a commutative ring B is said to be integral over A, a subring of B, if there is an n ≥ 1 and such that That is to say, b is a root of a monic polynomial over A. If every element of B is integral over A, then it is said that B is integral over A, or equivalently B is an integral extension of A. If A, B are fields, then the notions of "integral over" and of an "integral extension" are precisely "algebraic over" and "algebraic extensions" in field theory. The special case of greatest interest in number theory is that of complex numbers integral over Z; in this context, they are usually called algebraic integers. The algebraic integers in a finite extension field k of the rationals Q form a subring of k, called the ring of integers of k, a central object in algebraic number theory. The set of elements of B that are integral over A is called the integral closure of A in B. It is a subring of B containing A.

Definition of integrality in the English dictionary

The definition of integrality in the dictionary is the quality of being integral.

WORDS THAT RHYME WITH INTEGRALITY

amorality · aurality · centrality · chirality · corporality · generality · immorality · laterality · liberality · literality · literalness · magistrality · morality · neutrality · orality · plurality · preternaturality · rurality · temporality · unmorality

WORDS THAT BEGIN LIKE INTEGRALITY

integrability · integrable · integral · integral calculus · integrally · integrand · integrant · integrate · integrated · integrated accounting package · integrated circuit · integrated course · integrated day · integrated school · integrated studies · integration · integrationist · integrative · integrative bargaining · integrator

WORDS THAT END LIKE INTEGRALITY

ability · air quality · augmented reality · confidentiality · equality · functionality · homosexuality · hospitality · in reality · inequality · locality · mortality · municipality · nationality · originality · personality · quality · reality · sexuality · speciality · spirituality

Synonyms and antonyms of integrality in the English dictionary of synonyms

SYNONYMS

Translation of «integrality» into 25 languages

TRANSLATOR

TRANSLATION OF INTEGRALITY

Find out the translation of integrality to 25 languages with our English multilingual translator.

The translations of integrality from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «integrality» in English.
zh

Translator English - Chinese

完整性
1,325 millions of speakers
es

Translator English - Spanish

integralidad
570 millions of speakers
en

English

integrality
510 millions of speakers
hi

Translator English - Hindi

समाकलन
380 millions of speakers
ar

Translator English - Arabic

التكامل
280 millions of speakers
ru

Translator English - Russian

Целочисленность
278 millions of speakers
pt

Translator English - Portuguese

integralidade
270 millions of speakers
bn

Translator English - Bengali

কার্ত্স্ন্য
260 millions of speakers
fr

Translator English - French

intégralité
220 millions of speakers
ms

Translator English - Malay

Integriti
190 millions of speakers
de

Translator English - German

Vollständigkeit
180 millions of speakers
ja

Translator English - Japanese

一体性
130 millions of speakers
ko

Translator English - Korean

완전성
85 millions of speakers
jv

Translator English - Javanese

Integritas
85 millions of speakers
vi

Translator English - Vietnamese

trạng thái trọn vẹn
80 millions of speakers
ta

Translator English - Tamil

integrality
75 millions of speakers
mr

Translator English - Marathi

एकात्मता
75 millions of speakers
tr

Translator English - Turkish

integralite
70 millions of speakers
it

Translator English - Italian

integrità
65 millions of speakers
pl

Translator English - Polish

integralność
50 millions of speakers
uk

Translator English - Ukrainian

цілочисельність
40 millions of speakers
ro

Translator English - Romanian

integralitate
30 millions of speakers
el

Translator English - Greek

πληρότητα
15 millions of speakers
af

Translator English - Afrikaans

volledigheid
14 millions of speakers
sv

Translator English - Swedish

fullständighet
10 millions of speakers
no

Translator English - Norwegian

integrality
5 millions of speakers

Trends of use of integrality

TRENDS

TENDENCIES OF USE OF THE TERM «INTEGRALITY»

Principal search tendencies and common uses of integrality
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «integrality».

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «INTEGRALITY»

Discover the use of integrality in the following bibliographical selection. Books relating to integrality and brief extracts from same to provide context of its use in English literature.
1
Knapsack Problems
The larger the resulting integrality gap zf^ — z', the larger the number of nodes in the branch-and-bound tree which have to be evaluated by the algorithm. Therefore, it is interesting to investigate this integrality gap also for the knapsack  ...
Hans Kellerer, Ulrich Pferschy, David Pisinger, 2004
2
Integer Programming and Combinatorial Optimization: 14th ...
(23) (24) We evaluate the performance of zero-coefficient cuts by calculating how much more of the integrality gap of (MIPc) can be closed by continuing (InitCPalg ) beyond the generation of the mixed integer Gomory (MIG) cuts. For this, we ...
Friedrich Eisenbrand, Bruce Shepherd, 2010
3
Meaning as Explanation: Advances in Linguistic Sign Theory
Only. vs. just: Semantic. integrality. revisited. Yishai Tobin "I am sorry to say that I . .. don't know whether you have brothers and sisters. If you do ... I should like very much to have their addresses." Kurt Vonnegut (Cat's Cradle: 10) "'.
Ellen Contini-Morava, Barbara Sussman Goldberg, Robert S. Kirsner, 1995
4
Handbook on Semidefinite, Conic and Polynomial Optimization
To produce instances with a large integrality gap, one considers sparse random graphs which have no cycles of size less than Ω(logn) so that any subgraph with O(logn) vertices is a tree. One then starts with a solution which has fractional ...
Miguel F. Anjos, Jean B. Lasserre, 2011
5
Approximation, Randomization, and Combinatorial ...
The integrality gap of the natural LP relaxation of MSC(A, d ,1,c) is at most α for all possible covering requirements d, and 2. The integrality gap ofthe priority problem PSC(A,π, c) is at most βfor allpriority functions π, Then the integrality gap of ...
Leslie Ann Goldberg, Klaus Jansen, R. Ravi, 2011
6
Operations Research: A Model-Based Approach
Consider any mixed- or all-integer linear programming problem P. Its linear programming relaxation Prel is the very same problem P except with all of the integrality conditions deleted. Suppose that P is a maximization problem and its optimal ...
H. A. Eiselt, Carl-Louis Sandblom, 2012
7
The Breadth of Symplectic and Poisson Geometry: Festschrift ...
Then (ωF ,ω G + G) satisfies the strong integrality condition if and only if (ωE ,ω H + H) satisfies the strong integrality condition. Proof. By Corollary 5.14, we just have to check that Condition (2) in the definition of strong integrality condition is ...
Jerrold E. Marsden, Tudor S. Ratiu, 2007
8
Integer Programming and Combinatorial Optimization: 9th ...
The feasibility constraints in our problem contain two types of integrality constraints. (In fact, the problem can be formulated as an integer programming problem in which these two sets of constraints translate into integrality constraints on two ...
William J. Cook, Andreas S. Schulz, 2002
9
The Linear Ordering Problem: Exact and Heuristic Methods in ...
There has been interesting research on the so-called integrality gap of LP relaxations. For some given nonnegative weight function c, letc opt(c) and cLP(c) be the corresponding values of the optimum linear ordering and of the LP relaxation, ...
Rafael Martí, Gerhard Reinelt, 2011
10
Prague Linguistic Circle Papers:
This greater cognitive complexity underlies and justifies the choice of Semantic Integrality as being the marked feature synerget- ically. (ii) If the notion of isomorphism is taken seriously, it becomes evident that the notion of integrality or fusion ...
Eva Haji?ová, Jiri Hana, Petr Sgall, 2002

10 NEWS ITEMS WHICH INCLUDE THE TERM «INTEGRALITY»

Find out what the national and international press are talking about and how the term integrality is used in the context of the following news items.
1
Costume designer Orry-Kelly is played by Darren Gilshenan in …
The closeness with which Orry-Kelly worked with the stars and the directors brings home the integrality of costume design in the overall ... «The Australian, Jul 15»
2
Henri de Lubac's fascinating notes on Vatican II
... to describe the integrality of the world from a few axioms. This was its use at the time of the Council—in other words, the narrow systematizing ... «Catholic Culture, May 15»
3
New 2K Restoration of Jacques Rivette's Out 1 Heading to Cinemas …
The public had to wait until 1989 for the long version to finally be shown in its integrality at the Festival of Rotterdam, followed by various other ... «Blu-ray.com, Apr 15»
4
Challenges for the Muslim ummah
Pakistanis are ready to sacrifice their resources for the safety, security and integrality of the Kingdom. At the same time, they do not wish for ... «Daily Times, Apr 15»
5
Lars Von Trier to make first France trip since Cannes scandal
It is rare to be able to see both volumes in their integrality on the big screen. Only a handful of territories have released the five-and-a-half ... «Screen International, Apr 15»
6
It's a Kind of a Domesticated Wilderness: An Interview with Abbas …
MI: Do you see the piece finished in its integrality, when you start installing, or does it result from a certain degree of improvisation? AA: I have ... «Jadaliyya, Apr 15»
7
For the last time, the American Civil War was not about states' rights
In a last-ditch effort to deny the integrality of slavery to Southern secession, a contemporary Confederate sympathizer will inevitably raise the ... «Quartz, Apr 15»
8
High Court Rebuffs Loan Servicer In Tribal Arbitration Row
CashCall petitioned to the Supreme Court in December, arguing that circuit courts were in open conflict about whether the so-called "integrality ... «Law360, Apr 15»
9
New England Patriots RUMORS: Darrelle Revis Almost Took Less …
... long-term and not shell out a ridiculous contract to Revis, losing a player of his magnitude and integrality will hurt no matter the circumstances ... «Headlines & Global News, Mar 15»
10
Why human rights objections to China's version of the World Bank …
To be fair, the World Bank does recognize international human-rights goals, and has publicly declared the integrality of human rights to ... «Quartz, Mar 15»
REFERENCE
« EDUCALINGO. Integrality [online]. Available <https://educalingo.com/en/dic-en/integrality>. May 2024 ».
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