Results 21 to 30 of about 4,911 (197)

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

Dual Leonardo numbers

open access: yesAIMS Mathematics, 2023
This paper introduced the concept of dual Leonardo numbers to generalize the earlier studies in harmony and establish key formulas, including the Binet formula and the generating function. Both were employed to obtain specific elements from the sequence.
Adnan Karataş
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

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

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 Skew Circulant Type Matrices Involving Any Continuous Fibonacci Numbers

open access: yesAbstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
Circulant and skew circulant matrices have become an important tool in networks engineering. In this paper, we consider skew circulant type matrices with any continuous Fibonacci numbers. We discuss the invertibility of the skew circulant type matrices and present explicit determinants and inverse matrices of them by constructing the transformation ...
Zhaolin Jiang   +3 more
wiley   +1 more source

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

The Golden Ratio of Gait Harmony: Repetitive Proportions of Repetitive Gait Phases

open access: yesBioMed Research International, Volume 2013, Issue 1, 2013., 2013
In nature, many physical and biological systems have structures showing harmonic properties. Some of them were found related to the irrational number ϕ known as the golden ratio that has important symmetric and harmonic properties. In this study, the spatiotemporal gait parameters of 25 healthy subjects were analyzed using a stereophotogrammetric ...
Marco Iosa   +7 more
wiley   +1 more source

An Introduction to Finite Fibonomial Calculus

open access: yes, 2004
This is an indicatory presentation of main definitions and theorems of fibonomial calculus which is a special case of psi-extented rota's finite operator calculus.Comment: 16 ...
Krot, Ewa
core   +1 more source

'A difficult case' : Pacioli and Cardano on the Chinese Rings [PDF]

open access: yes, 2017
The Chinese rings puzzle is one of those recreational mathematical problems known for several centuries in the West as well as in Asia. Its origin is diffcult to ascertain but is most likely not Chinese.
Heeffer, Albrecht, Hinz, Andreas M.
core   +2 more sources

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