Results 71 to 80 of about 10,730 (186)
On dual hyperbolic generalized Fibonacci numbers
Indian Journal of Pure and Applied Mathematics, 2019 In this paper, we introduce the generalized dual hyperbolic Fibonacci numbers. As special cases, we deal with dual hyperbolic Fibonacci and dual hyperbolic Lucas numbers. We present Binet's formulas, generating functions and the summation formulas for these numbers. Moreover, we give Catalan's, Cassini's, d'Ocagne's, Gelin-Cesàro's, Melham's
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Latent Diffusion Models for Virtual Battery Material Screening and Characterization
Batteries &Supercaps, Volume 8, Issue 12, December 2025.A newly developed virtual tool is designed to enhance the extraction of meaningful information from characterization technique data and effectively guides the screening of target battery materials based on functional requirements. Efficient characterization of battery materials is fundamental to understanding the underlying electrochemical mechanisms ...
Deepalaxmi Rajagopal +3 more
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(Random) Trees of Intermediate Volume Growth
Random Structures &Algorithms, Volume 67, Issue 4, December 2025.ABSTRACT For every function g:ℝ≥0→ℝ≥0$$ g:{\mathbb{R}}_{\ge 0}\to {\mathbb{R}}_{\ge 0} $$ that grows at least linearly and at most exponentially, if it is sufficiently well‐behaved, we can construct a tree T$$ T $$ of uniform volume growth g$$ g $$, or more precisely, C1·g(r/4)≤|BG(v,r)|≤C2·g(4r),for allr≥0andv∈V(T),$$ {C}_1\cdotp g\left(r/4\right)\le \
George Kontogeorgiou, Martin Winter
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Some identities for generalized Fibonacci and Lucas numbers
AKCE International Journal of Graphs and Combinatorics, 2020 In this paper we study one parameter generalization of the Fibonacci numbers, Lucas numbers which generalizes the Jacobsthal numbers, Jacobsthal–Lucas numbers simultaneously. We present some their properties and interpretations also in graphs.
Anetta Szynal-Liana +2 more
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On the growth rate of generalized Fibonacci numbers
Advances in Difference Equations, 2004 Let α(t) be the limiting ratio of the generalized Fibonacci numbers produced by summing along lines of slope t through the natural arrayal of Pascal's triangle. We prove that is an even function.
Fishkind Donniell E
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Generalized Fibonacci Numbers: Sum Formulas
Journal of Advances in Mathematics and Computer Science, 2020 In this paper, closed forms of the summation formulas for generalized Fibonacci numbers are presented. As special cases, we give summation formulas of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas numbers. We present the proofs to indicate how these formulas, in general, were discovered.
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 22, 30 November 2025.ABSTRACT The recently published hyper‐reduction method “Empirically Corrected Cluster Cubature” (E3C) is applied for the first time in three dimensions (here magnetostatics). The method is verified to give accurate results even for a small number of integration points, such as 15 for 3D microstructure simulations.
Hauke Goldbeck, Stephan Wulfinghoff
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Some Properties of the Generalized Leonardo Numbers
Journal of New TheoryIn this study, various properties of the generalized Leonardo numbers, which are one of the generalizations of Leonardo numbers, have been investigated. Additionally, some identities among the generalized Leonardo numbers have been obtained. Furthermore,
Yasemin Alp
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Generalized Fibonacci Numbers and Music
JOURNAL OF ADVANCES IN MATHEMATICS, 2018 Mathematics and music have well documented historical connections. Just as the ordinary Fibonacci numbers have links with the golden ratio, this paper considers generalized Fibonacci numbers developed from generalizations of the golden ratio. It is well known that the Fibonacci sequence of numbers underlie certain musical intervals and compositions but
Anthony G Shannon +2 more
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Register‐Based and Stack‐Based Virtual Machines: Which Perform Better in JIT Compilation Scenarios?
Software: Practice and Experience, Volume 55, Issue 11, Page 1896-1910, November 2025.ABSTRACT Background Just‐In‐Time (JIT) compilation plays a critical role in optimizing the performance of modern virtual machines (VMs). While the architecture of VMs–register‐based or stack‐based–has long been a subject of debate, empirical analysis focusing on JIT compilation performance is relatively sparse. Objective In this study, we aim to answer
Bohuslav Šimek +2 more
wiley +1 more source