Results 61 to 70 of about 268,283 (236)
Some boundedness and convergence properties of generalized Fibonacci’s‐type recurrences and their associated iterated recurrence ratios between pairs of consecutive terms are discussed under a wide number of initial conditions. Also, a more general, so‐called (k, q) Fibonacci’s recurrence and the associated Fibonacci’s ratio recurrences are ...
Manuel De la Sen, V. Ravichandran
wiley +1 more source
Art and Science: Where Numerology and Mathematics Touch the Lung
Mathematical analysis in the physical seiences has a long history that reveals not only a rich harvest of fundamental insights but also leads to a wonderment at the in trinsically formal beauty in nature. Rigorous analysis or form and function in the biological sciences has been a more recent innovation.
S Marsh Tenney
wiley +1 more source
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
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
A Tutte polynomial inequality for lattice path matroids
Let $M$ be a matroid without loops or coloops and let $T(M;x,y)$ be its Tutte polynomial. In 1999 Merino and Welsh conjectured that $$\max(T(M;2,0), T(M;0,2))\geq T(M;1,1)$$ holds for graphic matroids.
Alfonsín, Jorge Luis Ramírez +2 more
core +4 more sources
Um estudo do Liber Quadratorum (1225) e suas potencialidades para o ensino de Matemática
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 +1 more
doaj +1 more source
A Clifford algebra associated to generalized Fibonacci quaternions
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
Qua re amplectens strictius ipsum modum indorum, et attentius studens in eo, ex proprio sensu quedam addens, et quedam etiam ex subtilitatibus Euclidis geometrice artis apponens, summam huius libri, quam intelligibilius potui, in XV capitulis distinctam componere laboravi, fere omnia que inserui, certa probatione ostendens, ut extra, perfecto pro ...
openaire +2 more sources
Generating matrix of the bi-periodic Lucas numbers
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
A rational problem from elementary number theory [PDF]
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

