continued fraction

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  • noun

Words related to 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

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This, together with the fact that well-approximations come from the continued fraction, allows us to arrive at our desired estimate.
The celebrated Rogers-Ramanujan continued fraction and its product representation is
infinity]]-theory [7] and the theory of continued fractions [8].
1/3] G(q) and G(q) is Ramanujans cubic continued fraction defined by
In order to decompose into a continued fraction, for example, the function ([D.
This continued fraction is finite if and only if [alpha] [member of] K(X).
At the first step it is necessary to subject the characteristics (3) to synthesis by using the method of distribution on a continued fraction (used for the first time to synthesize electrical circuits - the Cauer method).
It remains only to show that the continued fraction in the right-hand side of (19) satisfies the same functional equation, which is done in a separate lemma below.
There are many consequences of this continued fraction theorem, e.
Pearce [18], Conolly and Langaris [4], Flajolet and Guillemin [7], Parthasarathy and Lenin [13], [14], [15], [17], Parthasarathy and Selvaraju [16] and Krishnakumar et al [19] have applied continued fraction technique to study the transient behavior of the stochastic systems.
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.
1 can be used to evaluate the Ramanujan's cubic continued fraction.
The program's advanced math capabilities include optimized algorithms for statistical computation, numericalization of root objects, continued fraction improvements, evaluation of roots for polynomials with algebraic number coefficients, and implementation of GCD by Chinese remainders.