continued fraction

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English[edit]

A regular continued fraction (in which every numerator is 1)
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Noun[edit]

continued fraction ‎(plural continued fractions)

  1. (mathematics, number theory) An integer plus fraction whose numerator is an integer and whose denominator is an integer a continued fraction (an integer plus a fraction... - and so on), with finite or infinite recursion.
    • 1992, G. E. Andrews, B. C. Berndt, L. Jacobsen, R. L. Lamphere, The Continued Fractions Found in the Unorganized Portions of Ramanujan's Notebooks, Memoirs of the American Mathematical Society, Volume 99, Number 477, page 1,
      Several results focus on the famous Rogers–Ramanujan continued fraction [47], [48, pp. 214-215], the only continued fraction appearing in Ramanujan's published papers.

Usage notes[edit]

Generally, it is assumed that every numerator is 1; if distinction is necessary, such a fraction may be called regular or simple or be said to be in canonical form.

Derived terms[edit]

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