continued fraction


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con·tin·ued fraction

(kən-tĭn′yo͞od)
n.
A whole number plus a fraction whose numerator is a whole number and whose denominator is a whole number plus a fraction that has a denominator consisting of a whole number plus a fraction, and so on, such as 2 + 1/(3 + 7/(1 + 2/3)).

continued fraction

n
(Mathematics) a number plus a fraction whose denominator contains a number and a fraction whose denominator contains a number and a fraction, and so on

contin′ued frac′tion


n.
a fraction whose denominator contains a fraction whose denominator contains a fraction and so on.
[1860–65]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.continued fraction - a fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose numerator is an integer and whose denominator is an integer plus a fraction and so on
fraction - the quotient of two rational numbers
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References in periodicals archive ?
The underlying mathematical formalism worked as follows: the mean atomic weights were transformed into a continued fraction according to the equations
This section presents the method of synthesizing the distribution of characteristics on a continued fraction making it possible to obtain the parameters and the model of a single-axis system.
In section 6, we represent the generalized functions as continued fraction.
The simple and pretty continued fraction expression suggests that there might be other pretty formulae involving [square root of 2].
It has also been stated in terms of a continued fraction by Read [Rea79], so that the Touchard-Riordan formula is:
Among several methods, continued fraction is one of the techniques that is used to obtain transient solution.
Instead, the backward direction, or equivalently the associated continued fraction, should be used.
Such an expression is called a continued fraction, and we denote it by <[x.
Due to results form our previous publications, we suspect that Muller's continued fraction formalism with Euler's number as numerator can still be applied to many data sets, so we set all partial numerators in Muller's continued fractions (given in equation (2)) to Euler's number.
The continued fraction representations of the masses of celestial bodies are given in Table 6.
Consequently, Muller calculates the spectrum of eigenfrequencies of a chain system of many proton harmonic oscillators according to a continued fraction equation [2]
On the base of continued fraction method [1] we will search the natural frequencies of a chain system of many vibrating protons on the lowest energy level (ground stage) in this form: