Results 101 to 110 of about 126,630 (242)

On the Generalized $ \overline{\theta({\tt{t}})} $-Fibonacci sequences and its bifurcation analysis

AIMS Mathematics
This paper introduces a general nabla operator of order two that includes coefficients of various trigonometric functions. We also introduce its inverse, which leads us to derive the second-order $ \overline{\theta({\tt{t}})} $-Fibonacci polynomial ...
Rajiniganth Pandurangan, Sabri T. M. Thabet, Imed Kedim, Miguel Vivas-Cortez   +3 more
doaj   +1 more source

On the rational approximations to the real numbers corresponding to the differences of the Fibonacci sequence [PDF]

arXiv, 2016
Based on the structure of Fibonacci sequence, we give a new proof for the irrationality exponents of the Fibonacci real numbers. Moreover, we obtain all the irrationality exponents of the real numbers corresponding to the differences of Fibonacci sequence.
arxiv  

Copper ratio obtained by generalizing the Fibonacci sequence

AIP Advances
In this study, we define a new generalization of the Fibonacci sequence that gives the copper ratio, and we will call it the copper Fibonacci sequence. In addition, inspired by the copper Fibonacci definition, we also define copper Lucas sequences, and ...
Engin Özkan, Hakan Akkuş
doaj   +1 more source

Solidification performance of new trapezoidal longitudinal fins in latent heat thermal energy storage

Case Studies in Thermal Engineering, 2021
In order to improve the solidification performance of latent heat thermal energy storage system, a new trapezoidal longitudinal outer fin distributed by Fibonacci sequence is proposed due to the low thermal conductivity of phase change material. Firstly,
Xinyu Huang, Shouguang Yao
doaj  

Global maximum power point tracking for photovoltaic systems under partial and complex shading conditions using a PID based search algorithm (PSA)

IET Renewable Power Generation, Volume 19, Issue 1, January/December 2025.
This study presents a fresh approach to maximum power point tracking (MPPT) technique utilizing the proportional–integral–derivative‐based search algorithm to effectively identify the MPP under varying partial shading conditions. Compared to existing methods, the proposed algorithm demonstrates superior performance in power tracking efficiency ...
Md Adil Azad, Adil Sarwar, Mohd Tariq, Farhad Ilahi Bakhsh, Shafiq Ahmad, Adamali Shah Noor Mohamed, Md Rasidul Islam   +6 more
wiley   +1 more source

Psychoacoustic Properties of Fibonacci Sequences

Acta Polytechnica, 2008
1202, Fibonacci set up one of the most interesting sequences in number theory. This sequence can be represented by so-called Fibonacci Numbers, and by a binary sequence of zeros and ones.
J. Sokoll, S. Fingerhuth
doaj  

Strong bounds and exact solutions to the minimum broadcast time problem

International Transactions in Operational Research, Volume 32, Issue 1, Page 314-352, January 2025.
Abstract Given a graph and a subset of its nodes, referred to as source nodes, the minimum broadcast time problem asks for the minimum number of steps in which a signal can be transmitted from the sources to all other nodes in the graph. In each step, the sources and the nodes that already have received the signal can forward it to at most one of their
Marika Ivanova, Dag Haugland, Bård Hennning Tvedt   +2 more
wiley   +1 more source

Labeled Fibonacci Trees [PDF]

Legendre S. 2015. Labeled Fibonacci trees. The Fibonacci Quarterly 53: 152-167, 2014
The study describes a class of integer labelings of the Fibonacci tree, the tree of descent introduced by Fibonacci. In these labelings, Fibonacci sequences appear along ascending branches of the tree, and it is shown that the labels at any level are consecutive integers. The set of labeled trees is a commutative group isomorphic to $\mathbb{Z}^2$, and
arxiv  

Series and Rational Solutions of the Second Kind Painlevé Equations by Using the Quantum Pseudospectral Method

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The Painlevé equations and their series and rational solutions are essential in applied, pure mathematics and theoretical physics. Recently, quantum algorithms have helped to implement numerical algorithms more easily by performing linear algebra in our working. This article uses a hybrid of quantum computing schemes and spectral methods for the second
Saeid Abbasbandy, Shikha Binwal
wiley   +1 more source

Fibonacci numbers: A population dynamics perspective

Heliyon, 2019
Fibonacci numbers or Fibonacci sequence is among the most popular numbers or sequence in Mathematics. In this paper, we discuss the sequence in a population dynamics perspective. We discuss the early development of the sequence and interpret the sequence
Asep K. Supriatna, Ema Carnia, Meksianis Z. Ndii   +2 more
doaj