Results 61 to 70 of about 454,219 (256)
Solving systems of linear Fredholm integro-differential equations with Fibonacci polynomials
Ain Shams Engineering Journal, 2014 In this paper, we introduce a method to solve systems of linear Fredholm integro-differential equations in terms of Fibonacci polynomials. First, we present some properties of these polynomials then a new approach implementing a collocation method in ...
Farshid Mirzaee, Seyede Fatemeh Hoseini
doaj +1 more source
, 2009 We show that the Conway polynomials of Fibonacci links are Fibonacci polynomials modulo 2. We deduce that, when $ n \not\equiv 0 \Mod 4$ and $(n,j) \neq (3,3),$ the Fibonacci knot $ \cF_j^{(n)} $ is not a Lissajous knot.Comment: 7p ...
Koseleff, Pierre-Vincent, Pecker, Daniel
core +2 more sources
Periodic harmonic functions on lattices and points count in positive characteristic
, 2007 This survey addresses pluri-periodic harmonic functions on lattices with values in a positive characteristic field. We mention, as a motivation, the game "Lights Out" following the work of Sutner, Goldwasser-Klostermeyer-Ware, Barua-Ramakrishnan-Sarkar ...
A.T. Amin +20 more
core +1 more source
AI in Neurology: Everything, Everywhere, All at Once Part 1: Principles and Practice
Annals of Neurology, Volume 98, Issue 2, Page 211-230, August 2025.Artificial intelligence (AI) is rapidly transforming healthcare, yet it often remains opaque to clinicians, scientists, and patients alike. This review, part 1 of a 3‐part series, provides neurologists and neuroscientists with a foundational understanding of AI's key concepts, terminology, and applications.
Matthew Rizzo, Jeffrey D. Dawson
wiley +1 more source
Novel Expressions for Certain Generalized Leonardo Polynomials and Their Associated Numbers
AxiomsThis article introduces new polynomials that extend the standard Leonardo numbers, generalizing Fibonacci and Lucas polynomials. A new power form representation is developed for these polynomials, which is crucial for deriving further formulas.
Waleed Mohamed Abd-Elhameed +3 more
doaj +1 more source
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
wiley +1 more source
New expressions for certain polynomials combining Fibonacci and Lucas polynomials
AIMS MathematicsWe establish a new sequence of polynomials that combines the Fibonacci and Lucas polynomials. We will refer to these polynomials as merged Fibonacci-Lucas polynomials (MFLPs).
Waleed Mohamed Abd-Elhameed +1 more
doaj +1 more source
AIMS Mathematics, 2022 In this article, we evaluated the approximate solutions of one-dimensional variable-order space-fractional diffusion equations (sFDEs) by using a collocation method.
A. S. Mohamed
doaj +1 more source
New Technique for Solving Lane-Emden Equation with Vieta-Fibonacci Polynomials
Journal of Al-Qadisiyah for Computer Science and Mathematics, 2021 In the present work, new efficient iterative algorithm is presented for solving Lane-Emden equation with initial conditions. The solution is considered as a linear combination of Vieta-Fibonacci polynomials with unknown coefficients.
Semaa Hassan Aziz
semanticscholar +1 more source
Fibonacci numbers and orthogonal polynomials
Arab Journal of Mathematical Sciences, 2011 A note dated June 2007 has been added with some historical comments.
openaire +4 more sources