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 are called the coefficients or terms of the continued fraction.
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Anthyphairetic ratioApproximant (continued fraction)Best rational approximationChain fractionClosest rational approximationContinued FractionsContinued fraction expansionContinued fractionsContinuous fractionContinuous fractionsConvergent (continued fraction)Finite continued fractionInfinite continued fractionPartial quotientRational approximantRecurring fractionRecurring fractionsRegular continued fractionSimple 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 are called the coefficients or terms of the continued fraction.
has abstract
Dalam matematika, pecahan berl ...... fisien dari pecahan berlanjut.
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En matemáticas, una fracción c ...... ión continua regular o simple.
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En mathématiques, une fraction ...... es aux applications linéaires.
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Ett kedjebråk är ett matematis ...... h har värdet K ≈ 2,6854520010.
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In de wiskunde is een kettingb ...... telling van de reële getallen.
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In der Mathematik und insbeson ...... tischer Systeme zur Anwendung.
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In matematica, una frazione co ...... ta frazione continua semplice.
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In mathematics, a continued fr ...... Chebyshev rational functions.
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Um número pode ser representad ...... ão números inteiros positivos.
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Una fracció contínua es repres ...... xta, quan això no es compleix.
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1,025,802,918
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A finite regular continued fra ...... is a positive integer, for .
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p/c025540
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title
Continued Fraction
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Continued fraction
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urlname
ContinuedFraction
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type
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Dalam matematika, pecahan berl ...... fisien dari pecahan berlanjut.
@in
En matemáticas, una fracción c ...... ión continua regular o simple.
@es
En mathématiques, une fraction ...... entiers strictement positifs.
@fr
Ett kedjebråk är ett matematis ...... ara något annat än ett heltal.
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In de wiskunde is een kettingb ...... telling van de reële getallen.
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In der Mathematik und insbeson ...... h alle gleich, jedoch gleich .
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In matematica, una frazione co ...... ta frazione continua semplice.
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In mathematics, a continued fr ...... rms of the continued fraction.
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Um número pode ser representad ...... ão números inteiros positivos.
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Una fracció contínua es repres ...... dem distingir-ne dos subgrups:
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label
Continued fraction
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Fracció contínua
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Fracción continua
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Fraction continue
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Frazione continua
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Fração contínua
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Kedjebråk
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Kettenbruch
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Kettingbreuk
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Pecahan berlanjut
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