Results 11 to 20 of about 51,212 (178)
Some properties of Fibonacci numbers, Fibonacci octonions and generalized Fibonacci-Lucas octonions [PDF]
Advances in Difference Equations, 2015 In this paper we determine some properties of Fibonacci octonions. Also, we introduce the generalized Fibonacci-Lucas octonions and we investigate some properties of these ...
Savin, Diana
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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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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 C., Komornik V., Loreti P.
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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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Walisongo Journal of Chemistry, 2019 Peningkatan akan kebutuhan energi terus meningkat seiring berjalannya waktu, namun peningkatan kebutuhan energy yang terjadi menimbulkan dampak semakin menipisnya pasokan ketersediaan bahan bakar fosil yang notabene merupakan sumber daya alam yang tak ...
Anita Fibonacci
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On the sum of reciprocal generalized Fibonacci numbers [PDF]
, 2014 In this paper, we consider infinite sums derived from the reciprocals of the generalized Fibonacci numbers.
He, Zilong, Yuan, Pingzhi, Zhuo, Junyi
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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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Super Fibonacci Graceful Labeling of Some Special Class of Graphs [PDF]
, 2011 A Fibonacci graceful labeling and a super Fibonacci graceful labeling on graphs were introduced by Kathiresan and Amutha in ...
Nagarajan, K. +2 more
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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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ACM Transactions on Algorithms, 2012 We present the strict Fibonacci heap , the first pointer-based heap implementation with time bounds matching those of Fibonacci heaps in the worst case. Strict Fibonacci heaps support make-heap, insert, find-min, meld and decrease-key in worst-case \(O(1)\) time ...
Gerth Stølting Brodal +2 more
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