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Definition of continued fraction in English: continued fractionnoun Mathematics A fraction of infinite length whose denominator is a quantity plus a fraction, which latter fraction has a similar denominator, and so on. 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 fractionnoun Mathematics A fraction of infinite length whose denominator is a quantity plus a fraction, which latter fraction has a similar denominator, and so on. 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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