continued fraction

Noun

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Noun

**continued fraction** (*plural* continued fractions)

- (
*mathematics, number theory*) A compound numerical expression consisting of an integer plus a fraction whose numerator is a positive integer and whose denominator is 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*, Memoirs of the American Mathematical Society, Volume 99, Number 477, page 1 ↗,**Continued Fractions**Found in the Unorganized Portions of Ramanujan's Notebooks- 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.

- Several results focus on the famous Rogers–Ramanujan continued fraction [47], [48, pp. 214-215], the only
**2000**, Andrew Zardecki,*18:*, Da Ruan (editor),**Continued Fractions**in Time Series Forec[a]sting*Fuzzy Systems and Soft Computing in Nuclear Engineering*, Springer Science+Business Media, Studies in Fuzziness and Soft Computing, page 397 ↗,- We achieve this by using well-known examples from the number theory pertaining to the
**continued fractions**. Any sequence of natural numbers drawn from the probability distribution of the quotients of the**continued fraction**corresponding to an irrational number represents a typical sequence, in the sense that almost all sequences of quotients have this distribution.

- We achieve this by using well-known examples from the number theory pertaining to the
**2009**, Daniele Gewurz (translator), M. Welleda Baldoni, Ciro Ciliberto, G.M. Piacentini Cattaneo,*Elementary Number Theory, Cryptography and Codes*, page 48 ↗,- We have seen that all rational numbers, and no other number, can be expressed as finite simple
**continued fractions**. - The main reason of interest of
**continued fractions**, however, is in their application to the representation of*irrational numbers*. To that end we shall need*infinite*simple**continued fractions**.

- We have seen that all rational numbers, and no other number, can be expressed as finite simple

- German: Kettenbruch
- Italian: frazione continua

This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.004