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Meaning of "factorization" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF FACTORIZATION

factorization  [ˌfæktəraɪˈzeɪʃən] play
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GRAMMATICAL CATEGORY OF FACTORIZATION

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Factorization 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 FACTORIZATION MEAN IN ENGLISH?

factorization

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.

Definition of factorization in the English dictionary

The definition of factorization in the dictionary is resolution into factors.

WORDS THAT RHYME WITH FACTORIZATION


authorization
ˌɔːθəraɪˈzeɪʃən
characterization
ˌkærɪktəraɪˈzeɪʃən
civilization
ˌsɪvɪlaɪˈzeɪʃən
customization
ˌkʌstəmaɪˈzeɪʃən
globalization
ˌɡləʊbəlaɪˈzeɪʃən
hospitalisation
ˌhɒspɪtəlaɪˈzeɪʃən
hospitalization
ˌhɒspɪtəlaɪˈzeɪʃən
hybridization
ˌhaɪbrɪdaɪˈzeɪʃən
localization
ˌləʊkəlaɪˈzeɪʃən
novelization
ˌnɒvəlaɪˈzeɪʃən
optimisation
ˌɒptɪmaɪˈzeɪʃən
optimization
ˌɒptɪmaɪˈzeɪʃən
organisation
ˌɔːɡənaɪˈzeɪʃən
organization
ˌɔːɡənaɪˈzeɪʃən
realization
ˌrɪəlaɪˈzeɪʃən
specialization
ˌspeʃəlaɪˈzeɪʃən
stabilization
ˌsteɪbɪlaɪˈzeɪʃən
synchronization
ˌsɪŋkrənaɪˈzeɪʃən
utilization
ˌjuːtɪlaɪˈzeɪʃən
visualization
ˌvɪʒʊəlaɪˈzeɪʃən

WORDS THAT BEGIN LIKE FACTORIZATION

factor VIII
factorability
factorable
factorage
factorial
factorially
factories
factoring
factorisation
factorise
factorize
factorship
factory
Factory Acts
factory chimney
factory farm
factory farming
factory floor
factory hand
factory inspector

WORDS THAT END LIKE FACTORIZATION

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 factorization in the English dictionary of synonyms

SYNONYMS

Translation of «factorization» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF FACTORIZATION

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

Translator English - Chinese

因式分解
1,325 millions of speakers

Translator English - Spanish

factorización
570 millions of speakers

English

factorization
510 millions of speakers

Translator English - Hindi

factorization
380 millions of speakers
ar

Translator English - Arabic

التعميل
280 millions of speakers

Translator English - Russian

разложение
278 millions of speakers

Translator English - Portuguese

fatoração
270 millions of speakers

Translator English - Bengali

গুণকনির্ণয়
260 millions of speakers

Translator English - French

factorisation
220 millions of speakers

Translator English - Malay

Pemfaktoran
190 millions of speakers

Translator English - German

Faktorisierung
180 millions of speakers

Translator English - Japanese

因数分解
130 millions of speakers

Translator English - Korean

인수 분해
85 millions of speakers

Translator English - Javanese

Faktorisasi
85 millions of speakers
vi

Translator English - Vietnamese

phần từ
80 millions of speakers

Translator English - Tamil

காரணியாக்கத்தையும்
75 millions of speakers

Translator English - Marathi

घटकीकरण
75 millions of speakers

Translator English - Turkish

çarpanlarına ayırma
70 millions of speakers

Translator English - Italian

scomposizione
65 millions of speakers

Translator English - Polish

faktoryzacji
50 millions of speakers

Translator English - Ukrainian

розкладання
40 millions of speakers

Translator English - Romanian

factorizare
30 millions of speakers
el

Translator English - Greek

παραγοντοποίηση
15 millions of speakers
af

Translator English - Afrikaans

faktorisering
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 factorization

TRENDS

TENDENCIES OF USE OF THE TERM «FACTORIZATION»

The term «factorization» is quite widely used and occupies the 35.458 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Quite widely used
84
/100
The map shown above gives the frequency of use of the term «factorization» in the different countries.
Principal search tendencies and common uses of factorization
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «factorization».

FREQUENCY OF USE OF THE TERM «FACTORIZATION» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «factorization» during the past 500 years. Its implementation is based on analysing how often the term «factorization» 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 factorization

EXAMPLES

10 ENGLISH BOOKS RELATING TO «FACTORIZATION»

Discover the use of factorization in the following bibliographical selection. Books relating to factorization and brief extracts from same to provide context of its use in English literature.
1
Prime Numbers and Computer Methods for Factorization
Hans Riesel’s highly successful first edition of this book has now been enlarged and updated with the goal of satisfying the needs of researchers, students, practitioners of cryptography, and non-scientific readers with a mathematical ...
Hans Riesel, 2011
2
Factorization: Unique and Otherwise
The book can be used as a text for a first course in number theory or for self-study by motivated high school students or readers interested in modern mathematics.
Steven H. Weintraub, 2008
3
Factorization and Primality Testing
This book focuses on a single problem: how to factor a large integer or prove its prime.
David M. Bressoud, 1989
4
A State Space Approach to Canonical Factorization with ...
The present book concentrates on canonical factorization and its applications. Together both books present a rich and far reaching update of the 1979 monograph, the first book in the OTAA series, written by the first three authors.
Harm Bart, Israel Gohberg, Marinus A. Kaashoek, 2011
5
Factorization in Integral Domains
The contents in this work are taken from both the University of Iowa's Conference on Factorization in Integral Domains, and the 909th Meeting of the American Mathematical Society's Special Session in Commutative Ring Theory held in Iowa ...
Daniel Anderson, 1997
6
Rings and Factorization
The book also contains many exercises of varying degrees of difficulty together with hints and solutions.
David Sharpe, 1987
7
Factorization Calculus and Geometric Probability
The main ideas presented have application to such areas as stereology and geometrical statistics and this book will be a useful reference book for university students studying probability theory and stochastic geometry, and research ...
R. V. Ambartzumian, 1990
8
Schur Parameters, Factorization And Dilation Problems
Some general algorithms that explore the transmission line are also presented in this book. As a whole, the text is self-contained and it is addressed to people interested in the previously mentioned topics or connections between them.
Tiberiu Constantinescu, 1996
9
Topics in Factorization of Abelian Groups
The main objective of this book is to give a systematic exposition of the main results and techniques of the factorization theory of abelian groups.
Sandor Szabo, 2004
10
Factorization of Matrix and Operator Functions: The State ...
The present book deals with factorization problems for matrix and operator functions.
Harm Bart, Israel Gohberg, Marinus A. Kaashoek, 2007

10 NEWS ITEMS WHICH INCLUDE THE TERM «FACTORIZATION»

Find out what the national and international press are talking about and how the term factorization is used in the context of the following news items.
1
Deciding when to stop: efficient experimentation to learn to predict …
The focus of this work is not to promote a particular drug-target prediction method, but to show using matrix factorization as an example of how drug-target ... «BMC Blogs Network, Jul 15»
2
Brain-Inspired 'Memcomputer' Constructed
... many qubits in quantum computation, where the entangled state is used to solve efficiently certain types of problems such as factorization (9). «Military Technologies, Jul 15»
3
Clarkson University's Philip Hopke Honored for Paper on Air Quality
The paper, "Source Identification of Atlanta Aerosol by Positive Matrix Factorization," describes a quantitative source apportionment for the ... «Clarkson University News, Jul 15»
4
Baltimore Ravens lineman and accomplished mathematician wants …
Or just more factorization. And this isn't what it is at all.” “But what it is really teaching you the entire way through, is it's showing you how to look ... «USA TODAY, Jun 15»
5
John Urschel Talks About Why More Young Kids Don't Love Math
It teaches you factorization,” he said. “But what it is really teaching you the entire way through, is it's showing you how to look at some problem ... «Huffington Post, Jun 15»
6
Trend Filtering: Recent Advances and Challenges (#1) Privacy-for …
... ICML 2015, Lille, France. Ziqi LIU, Yu-Xiang WANG, and Alex SMOLA (2015). "Fast Differential Private Matrix Factorization", submitted. «Perspectives@SMU, Jun 15»
7
Mathletes on the rise at Pinole Middle School
Li and her assistant coach, Nate Quan, have taught crash courses in fractions/decimals, algebra, factorization, probability and other math tools ... «Richmond Standard, Jun 15»
8
Audit of GitHub SSH Keys Finds Many Still Vulnerable to Old Debian …
Those key lengths are short enough to be in the range of factorization on many modern machines. “512 bit keys have been known to be ... «Threatpost, Jun 15»
9
Researchers Break RSA 4096-Bit Keys, but Don't Worry Yet
Phuctor is the result of a collaboration between Stanislav Datskovskiy and Mircea Popescu, and represents an RSA key factorization service ... «Softpedia News, May 15»
10
Diving Into the DNS
... systems uses prime number manipulation, and what protects much of this function is the difficulty of performing prime number factorization. «CircleID, May 15»

REFERENCE
« EDUCALINGO. Factorization [online]. Available <https://educalingo.com/en/dic-en/factorization>. Apr 2024 ».
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