Results 51 to 60 of about 879,292 (211)
Copper ratio obtained by generalizing the Fibonacci sequence
AIP AdvancesIn this study, we define a new generalization of the Fibonacci sequence that gives the copper ratio, and we will call it the copper Fibonacci sequence. In addition, inspired by the copper Fibonacci definition, we also define copper Lucas sequences, and ...
Engin Özkan, Hakan Akkuş
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Exploring Generalized $2^k$-Fibonacci Sequence: A New Family of the Fibonacci Sequence
Communications in Advanced Mathematical SciencesThe focus of this paper is to study the $2^k$–Fibonacci sequence, which is defined for all integers $2^k$, and its connections with both the Fibonacci and the Fibonacci-Lucas sequences.
Elis Gardel Costa Mesquista +2 more
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Conway's Subprime Fibonacci Sequences [PDF]
Mathematics Magazine, 2014 18 pages, 5 ...
Guy, Richard K. +2 more
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Conformational ensembles of the disordered 4E‐BP2:eIF4E complex restrained by smFRET experiments
Protein Science, Volume 35, Issue 10, October 2026.Abstract Eukaryotic cap‐dependent translation initiation is regulated by binding of the predominantly folded eukaryotic initiation factor 4E (eIF4E) to the intrinsically disordered eIF4E binding proteins (4E‐BPs). Here, we report full‐length atomistic conformational ensembles generated by IDPConformerGenerator and optimized by X‐EISDv2 workflow for ...
Spencer Smyth +5 more
wiley +1 more source
Noûs, Volume 60, Issue 3, Page 593-605, September 2026.ABSTRACT It is a truism of mathematics that differences between isomorphic number systems are irrelevant to arithmetic. This truism is deeply rooted in the modern axiomatic method and underlies most strands of arithmetical structuralism, the view that arithmetic is about some abstract number structure.
Balthasar Grabmayr
wiley +1 more source
Transformations of Pythagorean triples generated by generalized Fibonacci numbers [PDF]
Notes on Number Theory and Discrete MathematicsWe present matrices that transform Pythagorean triples arising from generalized Fibonacci sequences into other such triples. We also show that entries in the powers of such matrices can be expressed in terms of generalized Fibonacci sequences.
Jathan Austin
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A Class of Convergent Series with Golden Ratio Based on Fibonacci Sequence [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this article, a class of convergent series based on Fibonacci sequence is introduced for which there is a golden ratio (i.e. $frac{1+sqrt 5}{2}),$ with respect to convergence analysis.
Moosa Ebadi, Farnaz Soltanpour
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FIBONACCI SEQUENCES IN ACOUSTICS
, 2022 A minireview on innovative structures based on Fibonacci sequences in acoustics is ...
Voinova, Marina,, Voinova, Marina
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Elementary sequences, sub-Fibonacci sequences
Discrete Applied Mathematics, 1993 A nondecreasing integer sequence \(x_ 1,x_ 2,\dots,x_ k\) with \(x_ 1=x_ 2=1\) and \(n \geq 2\) is said to be elementary if for all \(k \leq n\) \((x_ k>1 \Rightarrow x_ k=x_ i+x_ j\) for some \(i \neq j)\) and sub- Fibonacci if for all \(k \in \{3,\dots,n\}\) \((x_ k \leq x_{k-1}+x_{k- 2})\).
Peter C. Fishburn, Fred S. Roberts
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On an expansion numbers on Fibonacci’s sequences
Chebyshevskii Sbornik, 2023 In this paper theorems on the expression of real numbers on Fibonacci sequence. It pay a special attention to “explicit formulas” and conditions of the uniqueness of such representations.We note that unifiing of an expression of a real number over inverse values of a multiplicaticative system permits to get the estimation of the form $$𝑒 −Σ︁𝑛𝑘=0 1/𝑘 ...
Ghiyasi, Azar Kh. +2 more
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