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单词 factorize
释义

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
    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

  • factorization

  • 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.
 
 
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更新时间:2024/11/10 7:53:44