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词汇 exponentiation
释义

Definition of exponentiation in English:

exponentiation

noun ˌɛkspənɛnʃɪˈeɪʃ(ə)nˌekspəˌnen(t)SHēˈāSH(ə)n
mass nounMathematics
  • The operation of raising one quantity to the power of another.

    〔数〕取幂

    Example sentencesExamples
    • Imposing time reversibility has the computational advantage that the matrix exponentiation can be carried out without much difficulty.
    • I was particularly dismayed at Lewand's treatment of modular exponentiation, which is the central operation in many cryptosystems.
    • Computing individual hexadecimal digits using that formula relies on a venerable technique known as the binary algorithm for exponentiation.
    • With ordinals you can do addition, multiplication and exponentiation - even infinitely often - but you can't do subtraction or division, as far as I know.
    • One of the main reasons for including an introduction to modular arithmetic is that the two most popular public key algorithms use modular exponentiation as their basic mathematical process.

Derivatives

  • exponentiate

  • verb ˌɛkspəˈnɛnʃɪeɪtˌɛkspəˈnɛnʃiˌeɪt
    [with object]Mathematics
    • Subject (a quantity) to exponentiation.

      the mean transform was exponentiated to estimate the geometric mean
      Example sentencesExamples
      • The transition probabilities of the process can be calculated by exponentiating the rate matrix using standard numerical methods.
      • Multivariate results are presented in the form of odds ratios, obtained by exponentiating the regression coefficients from logistic models.
      • The regression coefficient was exponentiated, and we subtracted this value from 1 to obtain the decline rate.

Definition of exponentiation in US English:

exponentiation

nounˌekspəˌnen(t)SHēˈāSH(ə)n
Mathematics
  • The operation of raising one quantity to the power of another.

    〔数〕取幂

    Example sentencesExamples
    • Computing individual hexadecimal digits using that formula relies on a venerable technique known as the binary algorithm for exponentiation.
    • I was particularly dismayed at Lewand's treatment of modular exponentiation, which is the central operation in many cryptosystems.
    • With ordinals you can do addition, multiplication and exponentiation - even infinitely often - but you can't do subtraction or division, as far as I know.
    • Imposing time reversibility has the computational advantage that the matrix exponentiation can be carried out without much difficulty.
    • One of the main reasons for including an introduction to modular arithmetic is that the two most popular public key algorithms use modular exponentiation as their basic mathematical process.
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