Results 51 to 60 of about 4,911 (197)

Horadam Spinors

Journal of Mathematics, Volume 2024, Issue 1, 2024.
Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear representation of the Clifford algebra typically. The motivation for this study is to define a new and particular sequence.
Tülay Erişir, Serkan Araci
wiley   +1 more source

Hyper-Dual Leonardo Quaternions

Journal of New Theory
In this paper, hyper-dual Leonardo quaternions are defined and studied. Some basic properties of the hyper-dual Leonardo quaternions, including their relationships with the hyper-dual Fibonacci quaternions and hyper-dual Lucas quaternions, are analyzed ...
Tülay Yağmur
doaj   +1 more source

Um estudo do Liber Quadratorum (1225) e suas potencialidades para o ensino de Matemática

REMATEC. Revista de Matemática, Ensino e Cultura, 2018
Neste artigo buscamos a partir de uma tradução de proposições escolhidas do livro Liber Quadratorum de Leonardo Fibonacci (1170-1240), apresentar alguma potencialidade do uso das ideias contidas no texto para o ensino de conteúdos matemáticos; mais ...
José dos Santos Guimarães Filho, João Claudio Brandemberg   +1 more
doaj   +1 more source

A Clifford algebra associated to generalized Fibonacci quaternions

, 2014
In this paper we find a Clifford algebra associated to generalized Fibonacci quaternions. In this way, we provide a nice algorithm to obtain a division quaternion algebra starting from a quaternion non-division algebra and vice ...
Flaut, Cristina
core   +1 more source

On the Square Root Computation in Liber Abaci and De Practica Geometrie by Fibonacci

Mathematics
We study the square root computation by Leonardo Fibonacci (or Leonardo of Pisa) in his MSS Liber Abaci from c1202 and c1228 and De Practica Geometrie from c1220. In this MSS, Fibonacci systematically describes finding the integer part of the square root
Trond Steihaug
doaj   +1 more source

A rational problem from elementary number theory [PDF]

, 2008
We solve a bit more then the half of the XV.th. proposition of Leonardo Pisano who was also named as Fibonacci. We do it using only elementary tools of number theory.
Wintsche, Gergely
core  

Generating matrix of the bi-periodic Lucas numbers

, 2016
In this paper, firstly, we introduce the Q_{l}-Generating matrix for the bi-periodic Lucas numbers. Then, by taking into account this matrix representation, we obtain some properties for the bi-periodic Fibonacci and Lucas ...
Coskun, Arzu, Taskara, Necati
core   +1 more source

New Editorial Perspectives on Fibonacci’s Liber Abaci

Reti Medievali Rivista, 2013
The author summarizes the acquisitions on the current status of the manuscript and printed tradition of Fibonacci’s treatise and demonstrates the need of preparing a critical edition of the work. He points out that in the current state of the preparatory
Giuseppe Germano
doaj   +1 more source

Orthogonal polynomials and deformed oscillators

, 2015
We discuss the construction of oscillator-like systems associated with orthogonal polynomials on the example of the Fibonacci oscillator. In addition, we consider the dimension of the corresponding lie algebras.Comment: 12 pages Submited to TMF based on ...
Borzov, V. V., Damaskinsky, E. V.
core   +1 more source

Leonardo Bigolli Pisani vulgo Fibonacci, Liber Abbaci [PDF]

, 2022
Marc Moyon
openalex   +1 more source