Results 41 to 50 of about 31,264 (197)
Generalized Compositions and Weighted Fibonacci Numbers [PDF]
, 2010 In this paper we consider particular generalized compositions of a natural number with a given number of parts. Its number is a weighted polynomial coefficient.
Janjic, Milan
core
On the inverse of a Fibonacci number modulo a Fibonacci number being a Fibonacci number [PDF]
, 2023 Carlo Sanna
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Automating Algorithm Experiments With ALGator: From Problem Modeling to Reproducible Results
Software: Practice and Experience, Volume 56, Issue 1, Page 26-41, January 2026.ABSTRACT Background Theoretical algorithm analysis provides fundamental insights into algorithm complexity but relies on simplified and often outdated computational models. Experimental algorithmics complements this approach by evaluating the empirical performance of algorithm implementations on real data and modern computing platforms.
Tomaž Dobravec
wiley +1 more source
The relationship between Fibonacci number and Riemann zeta-function in the sense of Ramanujan constant [PDF]
, 2022 Huangcheng Yin
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Dual Proximal Groups Concisely Representing Complex Hosoya Triangles
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This paper introduces dual proximal groups (DPGs) that provide concise representation of complex Hosoya triangles (CHTs). An application is given in terms of the DPG representation of collections of Hosoya‐Hilbert circular triangles on modulated motion waveforms in sequences of video frames. MSC2020 Classification: 11B39,54E05,57S25.
Kübra Gül +3 more
wiley +1 more source
Non-Fisherian generalized Fibonacci numbers [PDF]
Notes on Number Theory and Discrete MathematicsUsing biology as inspiration, this paper explores a generalization of the Fibonacci sequence that involves gender biased sexual reproduction. The female, male, and total population numbers along with their associated recurrence relations are considered ...
Thor Martinsen
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Spectral properties of two coupled Fibonacci chains
New Journal of Physics, 2023 The Fibonacci chain, i.e. a tight-binding model where couplings and/or on-site potentials can take only two different values distributed according to the Fibonacci word, is a classical example of a one-dimensional quasicrystal.
Anouar Moustaj +4 more
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Weak Disorder in Fibonacci Sequences
, 2006 We study how weak disorder affects the growth of the Fibonacci series. We introduce a family of stochastic sequences that grow by the normal Fibonacci recursion with probability 1-epsilon, but follow a different recursion rule with a small probability ...
Ben-Naim E +8 more
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A Pincherle‐Type Convergence Theorem for Generalized Continued Fractions in Banach Algebras
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This contribution is dedicated to the interdependence of higher order linear difference equations and generalized continued fractions in Banach algebras. It turns out that the computation of certain subdominant solutions of a higher order linear difference equation can be done more efficiently by considering its adjoint equation.
Hendrik Baumann +2 more
wiley +1 more source
Analysis of a Nature-Inspired Shape for a Vertical Axis Wind Turbine
Applied Sciences, 2022 Wind energy is gaining special interest worldwide due to the necessity of reducing pollutant emissions and employ renewable resources. Traditionally, horizontal axis wind turbines have been employed but certain situations require vertical axis wind ...
Javier Blanco Damota +5 more
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