continued fraction
Definition from Wiktionary, the free dictionary
English[edit]
Noun[edit]
continued fraction (plural continued fractions)
 (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. 214215], the only continued fraction appearing in Ramanujan's published papers.
 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,
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]
 general continued fraction
 generalised continued fraction / generalized continued fraction
 regular continued fraction
 simple continued fraction
Translations[edit]
number theory
