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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References in periodicals archive ?
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).
We shall give the continued fraction representation for generalized functions.
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.
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.
13) we can construct the associated continued fraction
0 [less than or equal to] i [less than or equal to] n) be natural numbers, continued fraction <[x.
Practically, we developed the continued fraction and determined only 18 partial denominators.
This author published already a continued fraction analysis of planetary masses, however, the continued fractions were in the canonical form with all nominators equal 1.
There is, however, no standing wave analogy on the logarithmic scale that can be applied to all particles, consequently here, another model must be applied, which lead us to modify Muller's continued fraction term in an empirical way.
p] is the natural oscillation frequency of one proton, S is a finite continued fraction with integer elements:
Within the fifties and sixties the development of continued fraction analysis methods of oscillation processes in chain systems reaches a highlight.
So, let us plot points by writing a single-term continued fraction 1/n (so these are the numbers 1/1, 1/2, 1/3, .
1 can be used to evaluate the Ramanujan's cubic continued fraction.
In that way, every mass is interpreted as a proton resonance state and expressed in continued fraction form.