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词汇 continued fraction
释义

Definition of continued fraction in English:

continued fraction

noun
Mathematics
  • A fraction of infinite length whose denominator is a quantity plus a fraction, which latter fraction has a similar denominator, and so on.

    〔数〕连分数

    Example sentencesExamples
    • In the continued fraction of the square root of an integer the same denominators recur periodically.
    • He wrote his doctoral thesis on algorithms for continued fractions which he submitted to the University of St Petersburg.
    • However he also worked on differential equations, matrices and other topics in algebra, continued fractions, geometry and number theory.
    • He made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series.
    • Catalan published extensively on continued fractions and number theory.

Definition of continued fraction in US English:

continued fraction

noun
Mathematics
  • A fraction of infinite length whose denominator is a quantity plus a fraction, which latter fraction has a similar denominator, and so on.

    〔数〕连分数

    Example sentencesExamples
    • However he also worked on differential equations, matrices and other topics in algebra, continued fractions, geometry and number theory.
    • He made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series.
    • He wrote his doctoral thesis on algorithms for continued fractions which he submitted to the University of St Petersburg.
    • In the continued fraction of the square root of an integer the same denominators recur periodically.
    • Catalan published extensively on continued fractions and number theory.
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