Results 21 to 30 of about 395,880 (199)

On some identities for the DGC Leonardo sequence [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
In this study, we examine the Leonardo sequence with dual-generalized complex (DGC) coefficients for 𝔭∈ℝ. Firstly, we express some summation formulas related to the DGC Fibonacci, DGC Lucas, and DGC Leonardo sequences.
Çiğdem Zeynep Yılmaz   +1 more
doaj   +1 more source

Generalized Bronze Leonardo sequence [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
In this study, we define the Bronze Leonardo, Bronze Leonardo–Lucas, and Modified Bronze Leonardo sequences, and some terms of these sequences are given. Then, we give special summation formulas, special generating functions, etc.
Engin Özkan, Hakan Akkuş
doaj   +1 more source

Sobre a evolução matemática, histórico-epistemológica do modelo de Fibonacci: sobre a abordagem matricial

open access: yesRevista Thema, 2017
Este artigo aborda uma temática que proporciona uma perspectiva epistemológica não estática, atinente a um tópico ou ramo específico em Matemática, que representa uma das tendências que consubstanciam a evolução, generalização e sistematização do modelo ...
Francisco Regis Vieira Alves
doaj   +3 more sources

Novel Expressions for Certain Generalized Leonardo Polynomials and Their Associated Numbers

open access: yesAxioms
This 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

O LIVRO DOS QUADRADOS

open access: yesBoletim Cearense de Educação e História da Matemática, 2018
Neste artigo, como uma síntese de nossa pesquisa de dissertação de mestrado, na qual nos dedicamos a estudar a vida do matemático italiano Leonardo Fibonacci (1180 - 1250) e de uma de suas obras, o Liber Quadratorum (1225).
José dos Santos Guimarães Filho   +1 more
doaj   +1 more source

The Fibonacci sequence and the nature of mathematical discovery: A semiotic perspective

open access: yesSign Systems Studies, 2005
This study looks at the relation between mathematical discovery and semiosis, focusing on the famous Fibonacci sequence. The serendipitous discovery of this sequence as the answer to a puzzle designed by Italian mathematician Leonardo Fibonacci to ...
Marcel Danesi
doaj   +1 more source

Stability Analysis of a Class of Higher Order Difference Equations

open access: yesAbstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
We consider the sufficient conditions for asymptotic stability and instability of certain higher order nonlinear difference equations with infinite delays in finite‐dimensional spaces. With the aid of the general comparison condition on the right‐hand side function fk(·), we generalize the stability and instability result.
Yuanyuan Liu, Fanwei Meng, Yonghui Xia
wiley   +1 more source

O Código Da Vinci e o encontro entre Matemática, História e Arte

open access: yesEducação Matemática Debate, 2021
O romance O Código Da Vinci, escrito por Dan Brown, teve uma enorme repercussão, tendo vendido milhões de cópias em todo o mundo. Mas, foi com a sua adaptação para o cinema, em 2006, que horizontes se ampliaram, alcançando ainda mais indivíduos.
Felipe Freitas Paulino   +2 more
doaj   +1 more source

On the Hyperbolic Leonardo and Hyperbolic Francois Quaternions

open access: yesJournal of New Theory, 2023
In this paper, we present a new definition, referred to as the Francois sequence, related to the Lucas-like form of the Leonardo sequence. We also introduce the hyperbolic Leonardo and hyperbolic Francois quaternions.
Paula Maria Machado Cruz Catarino   +2 more
doaj   +1 more source

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