Results 51 to 60 of about 5,138 (192)
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
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
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The fairly recent discovery of "quasicrystals", whose X-ray diffraction patterns reveal certain peculiar features which do not conform with spatial periodicity, has motivated studies of the wave-dynamical implications of "aperiodic order".
Castaldi, Giuseppe +4 more
core +2 more sources
On approximation methods of Leonardo Fibonacci
AbstractAs is well known, Leonardo da Pisa gave a very precise approximation for the only irrational root of the equation x3 + 2x2 + 10x = 20. Two hypotheses concerning his method were put forward in the XIX century. With good reason they were criticized by M. Cantor in his Vorlesungen.
openaire +2 more sources
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
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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 ...
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On Generalized Metallic Leonardo Numbers: Silver, Bronze, and Copper Cases
In this article, we discuss three new extensions of the Leonardo numbers in a generalized way, which we call the generalized Silver, Bronze, and Copper Leonardo numbers that converge to the Silver, Bronze, and Copper ratios, unifying existing metallic ...
Munesh Kumari +2 more
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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
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On the Square Root Computation in Liber Abaci and De Practica Geometrie by Fibonacci
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
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