Definition of factorize in English:
factorize
(British factorise)
verb ˈfaktərʌɪzˈfæktəˌraɪz
Mathematics (with reference to a number) resolve or be resolvable into factors.
with object all matrices can be factorized
no object f factorizes completely into linear factors
f可完全分解为线性因子。
Example sentencesExamples
- Colburn is also interesting in that he was able to give an idea of how he carried out the calculations, the main method being by factorising the numbers concerned.
- A quantum computer has successfully factorized a number for the first time.
- In August 1999 a large team of mathematicians took over 35 computing years to factorise a 155 digit number.
- This gave a method of factorising a number using cards with holes punched in them.
- According to Poorter and Nagel, it can be factorized into two components.
- In this paper we use the basic Sanderson and Marchini model for transtension where the bulk strain can easily be factorized into pure shear and simple shear components.
- The number of steps that are necessary to factorize a large number using all known algorithms increases exponentially with the size of the number.
Derivatives
noun faktərʌɪˈzeɪʃ(ə)n
Mathematics Many computational tasks, such as decodings or the factorization of very large numbers, would become feasible that are infeasible with present machines.
Example sentencesExamples
- In fact al-Farisi's approach is based on the unique factorisation of an integer into powers of prime numbers, and, according to Rashed, he states and attempts to prove this, the so-called fundamental theorem of arithmetic, in this work.
- As a result new algorithms for solving problems can turn difficult mathematical problems, such as factorisation, into easy ones, making traditional key breaking simpler.
- The integer 6,036, for instance, has the prime factorization 2 x 2 x 3 x 503, and 6 + 0 + 3 + 6 = 2 + 2 + 3 + 5 + 0 + 3.
- Following this revelation, perhaps we shouldn't be too hasty to rule out the possibility that there is also a simple algorithm for factorization that has similarly been overlooked.
Definition of factorize in US English:
factorize
(British factorise)
verbˈfaktəˌrīzˈfæktəˌraɪz
Mathematics (with reference to a number) resolve or be resolvable into factors.
Example sentencesExamples
- In August 1999 a large team of mathematicians took over 35 computing years to factorise a 155 digit number.
- According to Poorter and Nagel, it can be factorized into two components.
- A quantum computer has successfully factorized a number for the first time.
- The number of steps that are necessary to factorize a large number using all known algorithms increases exponentially with the size of the number.
- In this paper we use the basic Sanderson and Marchini model for transtension where the bulk strain can easily be factorized into pure shear and simple shear components.
- Colburn is also interesting in that he was able to give an idea of how he carried out the calculations, the main method being by factorising the numbers concerned.
- This gave a method of factorising a number using cards with holes punched in them.