Results 91 to 100 of about 625,251 (324)

Fibonacci and Lucas identities derived via the golden ratio [PDF]

open access: yesElectronic Journal of Mathematics, 2022
Kunle Adegoke
doaj   +1 more source

On the spectral norms of r-circulant matrices with the biperiodic Fibonacci and Lucas numbers

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we present new upper and lower bounds for the spectral norms of the r-circulant matrices Q=Cr((ba)ξ(1)2q0,(ba)ξ(2)2q1,(ba)ξ(3)2q2,…,(ba)ξ(n)2qn−1) $Q=C_{r} ( (\frac{b}{a} )^{\frac{\xi (1)}{2}}q_{0}, (\frac{b}{a} )^{\frac{\xi(2)}{2}}q_{1}, (
Cahit Köme, Yasin Yazlik
doaj   +1 more source

Data‐Driven Multi‐Objective Optimization of Large‐Diameter Si Floating‐Zone Crystal Growth

open access: yesAdvanced Theory and Simulations, EarlyView.
This study presents a surrogate‐based Multi‐Objective Optimization framework for Floating Zone silicon crystal growth. An ensemble of Neural Networks is trained on simulation data and combined with Genetic Algorithms to explore trade‐offs in process parameters.
Lucas Vieira   +3 more
wiley   +1 more source

Restricted partitions and convex topologies

open access: yesAIMS Mathematics
Let $ X_{n} $ be a finite set. We consider two types of sequences of restricted partitions of $ X_n $, namely, the number of order consecutive partitions of $ X_{n} $ into $ k $ parts, denoted $ N_{oc}(n, k) $ and the sequence $ T(n, k) $ of the number ...
Moussa Benoumhani
doaj   +1 more source

Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers

open access: yesAbstract and Applied Analysis, 2014
Circulant matrices may play a crucial role in solving various differential equations. In this paper, the techniques used herein are based on the inverse factorization of polynomial.
Tingting Xu, Zhaolin Jiang, Ziwu Jiang
doaj   +1 more source

Initial number of Lucas’ type series for the generalized Fibonacci sequence

open access: diamond, 2021
Siniša Crvenković   +3 more
openalex   +2 more sources

Capillary Dynamics Analysis of Millimetric Tubes for Anti‐Slip Surfaces: A Phase‐Field Based Finite Element Approach and Experimental Validation

open access: yesAdvanced Theory and Simulations, EarlyView.
Phase‐field method based numerical modelling of the capillary rise in millimeter‐sized tubes, aiming for anti‐slip applications. The experimental validation was performed through capillary assays in polyethylene oxide (PEO) bulk modified polydimethylsiloxane (PDMS) channels.
Shivam Sharma   +7 more
wiley   +1 more source

On the independent subsets of powers of paths and cycles

open access: yes, 2012
In the first part of this work we provide a formula for the number of edges of the Hasse diagram of the independent subsets of the h-th power of a path ordered by inclusion. For h=1 such a value is the number of edges of a Fibonacci cube.
Codara, Pietro, D'Antona, Ottavio M.
core  

Geometrically Encoded Positioning of Introns, Intergenic Segments, and Exons in the Human Genome

open access: yesAdvanced Science, EarlyView.
This study introduces a new hypothesis: exons, introns, and intergenic segments are non‐random projections of the functional layers of 3D structure of chromatin packing domains. Evidence is presented that this “geometric code” may encode volumetric structure, reconciling epigenetic patterns, correlates with oncogenic mutations, acting as a potential ...
Luay M. Almassalha   +11 more
wiley   +1 more source

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