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factorisation

Meaning of "factorisation" in the English dictionary

DICTIONARY

PRONUNCIATION OF FACTORISATION

ˌfæktəraɪˈzeɪʃən


GRAMMATICAL CATEGORY OF FACTORISATION

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Factorisation 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 FACTORISATION MEAN IN ENGLISH?

Factorization

In mathematics, factorization or factoring is the decomposition of an object into a product of other objects, or factors, which when multiplied together give the original. For example, the number 15 factors into primes as 3 × 5, and the polynomial x2 − 4 factors as. In all cases, a product of simpler objects is obtained. The aim of factoring is usually to reduce something to “basic building blocks”, such as numbers to prime numbers, or polynomials to irreducible polynomials. Factoring integers is covered by the fundamental theorem of arithmetic and factoring polynomials by the fundamental theorem of algebra. Viète's formulas relate the coefficients of a polynomial to its roots. The opposite of polynomial factorization is expansion, the multiplying together of polynomial factors to an “expanded” polynomial, written as just a sum of terms. Integer factorization for large integers appears to be a difficult problem. There is no known method to carry it out quickly. Its complexity is the basis of the assumed security of some public key cryptography algorithms, such as RSA.

WORDS THAT RHYME WITH FACTORISATION

authorization · characterization · civilization · customization · globalization · hospitalisation · hospitalization · hybridization · localization · novelization · optimisation · optimization · organisation · organization · realization · specialization · stabilization · synchronization · utilization · visualization

WORDS THAT BEGIN LIKE FACTORISATION

factor of production · factor of safety · factor VIII · factorability · factorable · factorage · factorial · factorially · factories · factoring · factorise · factorization · factorize · factorship · factory · Factory Acts · factory chimney · factory farm · factory farming · factory floor

WORDS THAT END LIKE FACTORISATION

accreditation · action · administration · animation · application · association · certification · citation · combination · communication · confirmation · conversation · corporation · creation · decoration · destination · documentation · duration · education · evaluation · excitation

Synonyms and antonyms of factorisation in the English dictionary of synonyms

SYNONYMS

Translation of «factorisation» into 25 languages

TRANSLATOR

TRANSLATION OF FACTORISATION

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

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

Translator English - Chinese

因式分解
1,325 millions of speakers
es

Translator English - Spanish

factorización
570 millions of speakers
en

English

factorisation
510 millions of speakers
hi

Translator English - Hindi

गुणनखंड
380 millions of speakers
ar

Translator English - Arabic

عواملها
280 millions of speakers
ru

Translator English - Russian

факторизация
278 millions of speakers
pt

Translator English - Portuguese

factorisation
270 millions of speakers
bn

Translator English - Bengali

factorisation
260 millions of speakers
fr

Translator English - French

factorisation
220 millions of speakers
ms

Translator English - Malay

Faktorisasi
190 millions of speakers
de

Translator English - German

Faktorisierung
180 millions of speakers
ja

Translator English - Japanese

因数分解
130 millions of speakers
ko

Translator English - Korean

인수 분해
85 millions of speakers
jv

Translator English - Javanese

Faktorisasi
85 millions of speakers
vi

Translator English - Vietnamese

factorisation
80 millions of speakers
ta

Translator English - Tamil

காரணியாக்கல்
75 millions of speakers
mr

Translator English - Marathi

घटकांची रचना
75 millions of speakers
tr

Translator English - Turkish

factorisation
70 millions of speakers
it

Translator English - Italian

fattorizzazione
65 millions of speakers
pl

Translator English - Polish

faktoryzacji
50 millions of speakers
uk

Translator English - Ukrainian

факторизация
40 millions of speakers
ro

Translator English - Romanian

factorizarea
30 millions of speakers
el

Translator English - Greek

factorisation
15 millions of speakers
af

Translator English - Afrikaans

ontbinding
14 millions of speakers
sv

Translator English - Swedish

faktorisering
10 millions of speakers
no

Translator English - Norwegian

faktorisering
5 millions of speakers

Trends of use of factorisation

TRENDS

TENDENCIES OF USE OF THE TERM «FACTORISATION»

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

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «FACTORISATION»

Discover the use of factorisation in the following bibliographical selection. Books relating to factorisation and brief extracts from same to provide context of its use in English literature.
1
Excel Fast Track: 50 HSC Exam Tips Maths (2 Unit)
Topic: Basic Arithmetic and Algebra Where it appears in exams: Question 1 Degree of difficulty: * HSC examples: 1996Ql(b), 1995Ql(a), 1992Ql(b), 1991 Ql(b ), 1990Ql(c), 1987Ql(iii) Although factorisation is learned in Year 9, it is surprising the ...
Jeff Geha, 2000
2
Elements of Automata Theory
Notation We write QK for the set of 2-factorisations of K or, to be more precise, a set of indices in bijection with the set of 2-factorisations of K.Foreachq in QK there is a corresponding unique 2-factorisation (Lq,Rq) ; all the Lq and all the Rq are ...
3
Longman Icse Mathematics Class 9
Factorisation Objectives Introduction Factorisation by Taking out Common Factors Factorisation by Grouping the Terms Factorisation of the Difference 2 between Two Squares Factorisation of Trinomial by Splitting the Middle Terms ...
Sehgal V.K, 2009
4
Logics for Coalgebras and Applications to Computer Science
It is one of the claims of this thesis that central technical notions to deal with coalgebras are factorisation systems and factorisation structures for sinks. Applications include the existence of limits in categories of coalgebras (see section 1.6), the ...
Alexander Kurz, 2001
5
Elementary Number Theory, Cryptography and Codes
6.4.4 Factorisation and continued fractions To attack the problem left unsolved at the end of the previous section, the theory of continued fraction comes to our aid ( see § 1.5). Recall the notion of least absolute residue, defined on page 61.
M. Welleda Baldoni, Daniele Gewurz, Ciro Ciliberto, 2008
6
Vedic Mathematics
Factorisation of Simple Quadratics Factorisation comes in naturally at this point, as a form of what we have called "Reversed multiplication" and as a particular application of division. There is a lot of good material in the Vedic Sutras on this ...
Swami Bharati Krishna Tirtha, Vasudeva Sharana Agrawala, V. S. Agrawala, 1992
7
Heavy Flavour Physics Theory and Experimental Results in ...
This dependence is lost in naive factorisation as the factorised currents are scheme independent objects. In QCD factorisation (11G) the proper scale and scheme dependence is recovered by the inclusion of O(as) corrections as we will see ...
C.T.H Davies, S.M Playfer, 2002
8
Mathematics
Factorisation. QUOTATION \ 'Mathematics seems to endow one with something like a new sense". -Charles Darwin. I NTRODUCTION : This chapter deals with factorising by taking out common factors, by grouping, by difference of two squares ...
Augustus De Morgan, John Whitehead
9
Probability and Statistics by Example: Volume 1, Basic ...
For the 'only if part we simply re-write /(x; 6) as ./xir(x|/)./r(f; 0). where / = 7(x), and set, as before, h(\)=fx,T(x\t)imdx(T(\).ff)=fT(t;6). The factorisation criterion means that 7' is a sufficient statistic when 7'(x) = 7'(x') implies that the ratio /x(x; 0)//s(x'; ...
Yuri Suhov, Michael Kelbert, Mark Kelbert, 2005
10
Matrix - 8
If a and b are two perfect cubes, then ifaxb = ifaXyfb 'a b Hb Example 27: Find the cube roots of: Prime factorisation of 117912 = 2x2x2x3x17x17x17 We observe that the factor 3 is not in a group. Hence, to make 1 1 7912 a perfect cube, we ...
Khurana Rohit, 2007

10 NEWS ITEMS WHICH INCLUDE THE TERM «FACTORISATION»

Find out what the national and international press are talking about and how the term factorisation is used in the context of the following news items.
1
Leaving Cert maths: Fury at ordinary level paper
“For example, question 3(c) was a relatively straightforward factorisation question, but it was not presented in that way, so some students may ... «Irish Times, Jun 15»
2
Maths et jeux vidéo : apprendre à programmer avec Scratch en 5e …
En utilisant Scratch, ils apprennent des notions fondamentales en maths, comme la factorisation », indique Gilles Rey. Et d'ajouter : « cela ... «VousNousIls.fr, May 15»
3
The 7 biggest unsolved mysteries in science
The prime factorisation of this number currently takes practically forever. However, if we were somehow able to tame the seemingly random ... «Digit, May 15»
4
Indoor air quality: Pollutant sources by GC/MS
The data were analysed using a source receptor model with positive matrix factorisation, which estimates the source contributions to the indoor ... «separationsNOW.com, May 15»
5
Just how safe is encryption anyway?
This exploits the principles of quantum mechanics to solve the integer factorisation and discrete logarithm problems efficiently, thus rendering ... «Business Spectator, Mar 15»
6
Encryption today: how safe is it really?
This exploits the principles of quantum mechanics to solve the integer factorisation and discrete logarithm problems efficiently, thus rendering ... «The Conversation AU, Mar 15»
7
Five more things internet radio should steal from broadcast
Data scientists understand things like Python and Hadoop, collaborative filtering, matrix factorisation and – you were probably wondering when ... «Music Ally, Feb 15»
8
Quantum computing is so powerful it takes two years to understand …
While even 56,153 is a tiny number compared to the kind of factorisation predicted by fans of Shor's algorithm (and feared by spooks), it was ... «The Register, Dec 14»
9
Quantum computer buyers' guide: Apps
Because of this, factorisation algorithms are used to protect data in situations ranging from banking to internet databases. Twenty years ago ... «New Scientist, Oct 14»
10
UPSC CDS Exam (II) 2014: Paper pattern
Multiples and factors, Factorisation Theorem, H.C.f and L.C.m, Euclideen algorithm, Logarithms to base 10, laws of logarithm, use of logarithm ... «India Today, Sep 14»
REFERENCE
« EDUCALINGO. Factorisation [online]. Available <https://educalingo.com/en/dic-en/factorisation>. Jun 2026 ».
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