Results 11 to 20 of about 3,148 (188)
Physical Review X, 2021 Never is the difference between thermal equilibrium and turbulence so dramatic, as when a quadratic invariant makes the equilibrium statistics exactly Gaussian with independently fluctuating modes. That happens in two very different yet deeply connected classes of systems: incompressible hydrodynamics and resonantly interacting waves.
Vladimirova, Natalia +2 more
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Symmetry, 2020 Apart from its applications in Chemistry, Biology, Physics, Social Sciences, Anthropology, etc., there are close relations between graph theory and other areas of Mathematics. Fibonacci numbers are of utmost interest due to their relation with the golden ratio and also due to many applications in different areas from Biology, Architecture, Anatomy to ...
Aysun Yurttas Gunes +4 more
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On Fibonacci Quaternions [PDF]
Advances in Applied Clifford Algebras, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü +1 more
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Electronic Journal of Graph Theory and Applications, 2021 The $d$-Fibonacci digraphs $F(d,k)$, introduced here, have the number of vertices following generalized Fibonacci-like sequences. They can be defined both as digraphs on alphabets and as iterated line digraphs. Here we study some of their nice properties.
Dalfó Simó, Cristina +1 more
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Fibonacci identities and Fibonacci pairs
, 2021 A Fibonacci pair $F_s(w,x)$ of rank $s$ is a pair $s \times s$ nonsingular matrices such that $wx=xw$ and that the entries of $aw^n$ and $axw^m$ are polynomials of Fibonacci or Lucas numbers for some nonzero $a$. We construct identities systematically by the study of $F_2(w, x)$ and $F_3(w, x)$.
Lang, Cheng Lien, Lang, Mong Lung
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On Fibonacci functions with Fibonacci numbers [PDF]
Advances in Difference Equations, 2012 Abstract In this paper we consider Fibonacci functions on the real numbers R, i.e., functions f : R → R such that for all x ∈ R ,
Han, Jeong, Kim, Hee, Neggers, Joseph
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Rendiconti Lincei, Matematica e Applicazioni, 2021 Expansions in the Golden ratio base have been studied since a pioneering paper of Rényi more than sixty years ago. We introduce closely related expansions of a new type, based on the Fibonacci sequence, and we show that in some sense they behave better.
Baiocchi, Claudio +2 more
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Радіоелектронні і комп'ютерні системи, 2019 The article is a summary of Alexey Stakhov scientific way, who in 1961 graduated from Radio Engineering Faculty Kharkiv Aviation Institute with honors and became the first graduate of the faculty who in 1972, at the age of 32, defended his doctoral ...
Алексей Петрович Стахов
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Fibonacci Identities via Fibonacci Functions
, 2023 We present a differential-calculus-based method which allows one to derive more identities from {\it any} given Fibonacci-Lucas identity containing a finite number of terms and having at least one free index. The method has two {\it independent} components.
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The complex-type cyclic-Fibonacci sequence and its applications [PDF]
Journal of Mahani Mathematical Research, 2023 In the present paper, we aim to generalize the notion of complex-type Fibonacci sequences to complex-type cyclic Fibonacci sequences. Firstly, we define the complex-type cyclic-Fibonacci sequence and then we give miscellaneous properties of this ...
Ömür Deveci +2 more
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