Results 71 to 80 of about 264,882 (186)
Identidades bi e tridimensionais para os números de Fibonacci na forma complexa
CQD Revista Eletrônica Paulista de Matemática, 2017 O modelo de Fibonacci tem sua gênese no problema sobre a reprodução de pares de coelhos imortais, proposto por Leonardo Pisano em 1202. Nos anos 60, as repercussões foram evidenciadas pela exuberância de modelos generalizados dessa sequência.
Rannyelly Rodrigues de Oliveira +2 more
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On Gaussian Leonardo numbers [PDF]
Contributions to Mathematics, 2023 Dursun Taşcı
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Leonardo Numbers and their Bicomplex Extension
Nepal Journal of Mathematical SciencesThis paper introduces a new type of Leonardo numbers, referred to as bicomplex Leonardoi numbers. Also, some important relations, including the generating function, Binet's formula, D'Ocagne's identity, Cassini’s identity, and Catalan’s identity ...
M. Jaiswal +2 more
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On the norms and Hadamard product of Toeplitz matrices involving Leonardo numbers [PDF]
Mathematica MoravicaIn this study, we consider the Toeplitz matrices with entries being Leonardo numbers. We have found upper and lower bounds for the spectral norms of these matrices, considering also the Hadamard product of this type of matrix.
Catarino Paula +4 more
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AIR Journal of Mathematics and Computational SciencesWe investigate the algebraic structure underlying geometric stabilization in GCD-augmented Fibonacci recurrences Cp(n) = Cp(n−1) + Cp(n−2) + gcd(Cp(n−1), Cp(n−2)), resolving Open Problem 4 from Hawarey (2026). We establish that the binary operation f(a,b)
Mosab Hawarey
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Fibonacci's Liber Abbaci and "the origin of things" of Maria Montessori
Rivista di Storia dell'EducazioneThis article discusses some aspects of the arithmetic of Fibonacci's Liber Abbaci and the related pedagogical idea of the Pisan mathematician, described in the Prologue of the work and which can be seen from reading the text.
Silvia Cerasaro +2 more
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On the Leonardo quaternions sequence
Hacettepe Journal of Mathematics and StatisticsIn the present work, a new sequence of quaternions related to the Leonardo numbers -- named the Leonardo quaternions sequence -- is defined and studied. Binet's formula and certain sum and binomial-sum identities, some of which derived from the mentioned
P. Beites, P. Catarino
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Sobre o modelo de Fibonacci na variável complexa: identidades generalizadas
CQD Revista Eletrônica Paulista de Matemática, 2017 A sequência emblemática relacionada com o problema da reprodução de pares de coelhos, propugnado por Leonardo Pisano, em 1202, se tornou, passados alguns séculos, o objeto de estudo e pesquisa em determinados ramos particulares da Matemática, sobretudo ...
Francisco Regis Vieira Alves +1 more
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Insegnar l’abaco ai granchi. Contare le monete, misurare i valori
Studi di Storia Medioevale e di Diplomatica: Nuova SerieIl contributo esamina il rapporto tra matematica e monete nel Medioevo a partire dal primo libro d'abaco di Leonardo Fibonacci (1202) seguito da altri testi in volgare fino alla fine del XV secolo.
Lucia Travaini
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Algorithms for representing positive odd integers as the sum of arithmetic progressions [PDF]
Notes on Number Theory and Discrete MathematicsThis paper delves into the historical and recent developments in this area of mathematical inquiry, tracing the evolution from Wheatstone's representation of powers of an integer as sums of arithmetic progressions to extensions of Sylvester's Theorem ...
Peter J.-S. Shiue +4 more
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