Results 71 to 80 of about 2,080 (215)
A note on Fibonacci matrices of even degree
International Journal of Mathematics and Mathematical Sciences, 2001 This paper presents a construction of m-by-m irreducible Fibonacci matrices for any even m. The proposed technique relies on matrix representations of algebraic number fields which are an extension of the golden section field.
Michele Elia
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High‐resolution X‐ray scanning with a diffuse Huffman‐patterned probe to reduce radiation damage
Journal of Synchrotron Radiation, Volume 32, Issue 3, Page 700-717, May 2025.This paper introduces high‐resolution imaging using diffuse probes, which allow for lower energy deposition per unit area per unit time, by encoding Huffman‐like patterns onto them, enabling a tighter impulse response. The approach, demonstrated in X‐ray imaging, involves using specially fabricated masks to shape the probe and recover sharp object ...
Alaleh Aminzadeh +5 more
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Neural Two‐Level Monte Carlo Real‐Time Rendering
Computer Graphics Forum, Volume 44, Issue 2, May 2025.Abstract We introduce an efficient Two‐Level Monte Carlo (subset of Multi‐Level Monte Carlo, MLMC) estimator for real‐time rendering of scenes with global illumination. Using MLMC we split the shading integral into two parts: the radiance cache integral and the residual error integral that compensates for the bias of the first one.
Mikhail Dereviannykh +3 more
wiley +1 more source
Special Matrices, 2020 In this paper, our main attention is paid to calculate the determinants and inverses of two types Toeplitz and Hankel tridiagonal matrices with perturbed columns.
Fu Yaru +3 more
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Fast heuristics for the time‐constrained immobile server problem
International Transactions in Operational Research, Volume 32, Issue 3, Page 1282-1311, May 2025.Abstract We propose easy‐to‐implement heuristics for time‐constrained applications of a problem referred to in the literature as the facility location problem with immobile servers, stochastic demand, and congestion, the service system design problem, or the immobile server problem (ISP).
Adam Q. Colley, Eli V. Olinick
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Zeckendorf representation of multiplicative inverses modulo a Fibonacci number [PDF]
, 2022 Gessica Alecci, Nadir Murru, Carlo Sanna
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An identity for the Fibonacci and Lucas numbers [PDF]
Glasgow Mathematical Journal, 1993 In this paper we prove an identity between sums of reciprocals of Fibonacci and Lucas numbers. The Fibonacci numbers are defined for all n ≥ 0 by the recurrence relation Fn + 1 = Fn + Fn-1 for n ≥ 1, where F0 = 0 and F1 = 0. The Lucas numbers Ln are defined for all n ≥ 0 by the same recurrence relation, where L0 = 2 and L1 = 1 We prove the following ...
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On Doubled and Quadrupled Fibonacci Type Sequences
Annales Mathematicae SilesianaeIn this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled ...
Yilmaz Nur Şeyma +3 more
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Fibonacci numbers and orthogonal polynomials
Arab Journal of Mathematical Sciences, 2011 A note dated June 2007 has been added with some historical comments.
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Applicable Analysis and Discrete Mathematics, 2009 The scope of the paper is the definition and discussion of the polynomial generalizations of the Fibonacci numbers called here ?-Fibonacci numbers. Many special identities and interesting relations for these new numbers are presented. Also, different connections between ?-Fibonacci numbers and Fibonacci and Lucas numbers are proven in this paper.
Roman Wituła, Damian Słota
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