Results 231 to 240 of about 48,005 (265)

New z-domain continued fraction expansions

IEEE Transactions on Circuits and Systems, 1985
New continued fraction expansions of modified versions of the bilinear discrete reactance function are presented. The modified versions are obtained using the elementary synthetic divisions. The new expansions proceed in terms of the backward difference function, \(1-z^{-1}\), or the forward difference function, z-1.
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Inversion of continued-fraction expansion revisited

Proceedings of 36th Midwest Symposium on Circuits and Systems, 2002
A recursive relation is developed that allows one to obtain a system function in terms of its continued-fraction inversion. The algorithm is based on the well-known Mason's gain formula for signal-flow graphs, and it encompasses the multidimensional transfer functions.
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On the r-continued fraction expansions of reals

Journal of Number Theory, 2020
One of the types of generalised continued fractions is \(r\)-continued fraction. An expression of the form \[ a_0+\cfrac{r}{a_1+\cfrac{r}{a_2+\genfrac{}{}{0pt}{0}{}{ \ddots} }} \] is called an \(r\)--continued fraction, where \(r\in \mathbb{R}, r>1, \) is some fixed real number, \(a_0\in \mathbb{Z} \), and all of the coefficients \(a_k \in \mathbb{N ...
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Fibonacci Numbers and Continued Fraction Expansions

1993
It is clear by the definition of Fibonacci numbers F n : F0 = 0, F 1 = 1, Fn + 1 = F n + F n−1 (n ≥ 1), that the continued fraction expansion of F n/F n + 1 is given by $$ \frac{{{F_n}}}{{{F_{{n + 1}}}}} = \left[ {0,\underbrace{{\;1, \ldots, \;1,}}_{{n - 2}}2} \right]. $$ (1.1)
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Continued fraction expansion of algebraic numbers

USSR Computational Mathematics and Mathematical Physics, 1964
Abstract The electronic computer Strela was used to find 2500 partial quotients of the continued fraction expansion of 2− 1 3 . 1000 partial quotients of 3− 1 3 and 4500 partial quotients of 7− 1 3 . The results and method of computation are described below.
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Simplex—Karyon Algorithm of Multidimensional Continued Fraction Expansion

Proceedings of the Steklov Institute of Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly  

Continued Fraction Expansions Towards Zaremba’s Conjecture

Experimental Mathematics, 2023
Khalil Ayadi, Takao Komatsu
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Continued Fraction Expansions for Arbitrary Power Series

The Annals of Mathematics, 1940
Scott, W. T., Wall, H. S.
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Continued Fraction Expansions

2006
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