Results 61 to 70 of about 421,981 (255)
On Convolved Generalized Fibonacci and Lucas Polynomials [PDF]
, 2013 We define the convolved h(x)-Fibonacci polynomials as an extension of the classical convolved Fibonacci numbers. Then we give some combinatorial formulas involving the h(x)-Fibonacci and h(x)-Lucas polynomials.
Ramírez, José L.
core
CAAI Transactions on Intelligence Technology, EarlyView.Abstract Life expectancy has improved with new‐age technologies and advancements in the healthcare sector. Though artificial intelligence (AI) and the Internet of Things (IoT) are revolutionising smart healthcare systems, security of the healthcare data is always a concern.
Shaiju Panchikkil +4 more
wiley +1 more source
Some properties and extended Binet’s formula for the class of bifurcating Fibonacci sequence
Ratio MathematicaOne of the generalizations of Fibonacci sequence is a -Fibonacci sequence, which is further generalized in several other ways, some by conserving the initial conditions and others by conserving the related recurrence relation.
Daksha Manojbhai Diwan +2 more
doaj +1 more source
On Quaternion-Gaussian Fibonacci Numbers and Their Properties
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 We study properties of Gaussian Fibonacci numbers. We start with some basic identities. Thereafter, we focus on properties of the quaternions that accept gaussian Fibonacci numbers as coefficients.
Halici Serpil, Cerda-Morales Gamaliel
doaj +1 more source
ITM Web of Conferences, 2020 Special numbers have very important mathematical properties alongside their numerous applications in many fields of science. Probably the most important of those is the Fibonacci numbers.
Demirci Musa, Cangul Ismail Naci
doaj +1 more source
Discrete Mathematics, 1997 AbstractLet Φ be the golden ratio (√5 + 1)/2, fn the nth Fibonacci finite word and f the Fibonacci infinite word. Let r be a rational number greater than (2 + Φ)/2 and u a nondashempty word. If ur is a factor of f, then there exists n ⩾ 1 such that u is a conjugate of fn and, moreover, each occurrence of ur is contained in a maximal one of (fn)s for ...
openaire +2 more sources
Neural Two‐Level Monte Carlo Real‐Time Rendering
Computer Graphics Forum, EarlyView.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
Factorizations of the Fibonacci Infinite Word [PDF]
, 2015 The aim of this note is to survey the factorizations of the Fibonacci infinite word that make use of the Fibonacci words and other related words, and to show that all these factorizations can be easily derived in sequence starting from elementary ...
Fici, Gabriele
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From Genes to Shapes: Exploring Local Adaptation in Carpathian Ox‐Eye Daisies
Journal of Biogeography, EarlyView.ABSTRACT Aim Historical processes have shaped the Carpathian biogeography, yet ongoing evolutionary forces continue to drive population differentiation. We aimed to test whether local adaptation in the Carpathian subendemic Leucanthemum rotundifolium correlates with genetic, morphological and environmental factors, and to assess how these patterns ...
Kamil Konowalik, Olga Łuczak
wiley +1 more source
On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives
Journal of Applied Mathematics, 2014 We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and their rth derivatives. We get the formulas for the rth derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials.
Yang Li
doaj +1 more source