Continued fraction
In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integer part and another reciprocal, and so on. In a finite continued fraction (or terminated continued fraction), the iteration/recursion is terminated after finitely many steps by using an integer in lieu of another continued fraction. In contrast, an infinite continued fraction is an infinite expression. In either case, all integers in the sequence, other than the first, must be positive. The integers
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known for
Anthyphairetic ratioApproximant (continued fraction)Best rational approximationChain fractionClosest rational approximationContinued FractionsContinued fraction expansionContinued fractionsContinuous fractionContinuous fractionsConvergent (continued fraction)Finite continued fractionPartial quotientRecurring fractionRecurring fractionsSimple continued fraction
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Continued fraction
In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integer part and another reciprocal, and so on. In a finite continued fraction (or terminated continued fraction), the iteration/recursion is terminated after finitely many steps by using an integer in lieu of another continued fraction. In contrast, an infinite continued fraction is an infinite expression. In either case, all integers in the sequence, other than the first, must be positive. The integers
has abstract
25بك المحتوى هنا ينقصه الاستشه ...... عبير الناتج كسرا مستمرا معمما.
@ar
Een enkelvoudige of reguliere ...... telling van de reële getallen.
@nl
En matemáticas, una fracción c ...... ión continua regular o simple.
@es
En mathématiques, une fraction ...... es aux applications linéaires.
@fr
In der Mathematik und insbeson ...... tischer Systeme zur Anwendung.
@de
In matematica, una frazione co ...... ta frazione continua semplice.
@it
In mathematics, a continued fr ...... Chebyshev rational functions.
@en
Um número pode ser representad ...... ão números inteiros positivos.
@pt
Ułamek łańcuchowy (skończony) ...... d dołu, a nieparzyste od góry.
@pl
Непрерывная дробь (или цепная ...... рикладных сферах деятельности.
@ru
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Wikipage revision ID
743,903,481
Caption
A finite continued fraction, w ...... is a positive integer, for .
title
Continued Fraction
Continued fraction
urlname
ContinuedFraction
type
comment
25بك المحتوى هنا ينقصه الاستشه ...... عبير الناتج كسرا مستمرا معمما.
@ar
Een enkelvoudige of reguliere ...... telling van de reële getallen.
@nl
En matemáticas, una fracción c ...... ión continua regular o simple.
@es
En mathématiques, une fraction ...... entiers strictement positifs.
@fr
In der Mathematik und insbeson ...... chreibt ihn platzsparend als .
@de
In matematica, una frazione co ...... ta frazione continua semplice.
@it
In mathematics, a continued fr ...... must be positive. The integers
@en
Um número pode ser representad ...... ão números inteiros positivos.
@pt
Ułamek łańcuchowy (skończony) ...... nymi słowy: 1.
* 2.
*
* .
@pl
Непрерывная дробь (или цепная ...... тогда, когда оно рационально.
@ru
label
Continued fraction
@en
Fracción continua
@es
Fraction continue
@fr
Frazione continua
@it
Fração contínua
@pt
Kettenbruch
@de
Kettingbreuk
@nl
Ułamek łańcuchowy
@pl
Непрерывная дробь
@ru
كسر مستمر
@ar