Results 11 to 20 of about 268,283 (236)
On the Leonardo Sequence via Pascal-Type Triangles
Journal of MathematicsIn this study, we discussed the Leonardo number sequence, which has been studied recently and caught more attention. We used Pascal and Hosoya-like triangles to make it easier to examine the basic properties of these numbers.
Serpil Halıcı, Sule Curuk
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Generalized Bronze Leonardo sequence [PDF]
Notes on Number Theory and Discrete MathematicsIn this study, we define the Bronze Leonardo, Bronze Leonardo–Lucas, and Modified Bronze Leonardo sequences, and some terms of these sequences are given. Then, we give special summation formulas, special generating functions, etc.
Engin Özkan, Hakan Akkuş
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On the Square Root Computation in Liber Abaci and De Practica Geometrie by Fibonacci
MathematicsWe 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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Novel Expressions for Certain Generalized Leonardo Polynomials and Their Associated Numbers
AxiomsThis 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
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E3S Web of ConferencesSustainable urban development requires the use of all available means, given the increasing competitive status of cities. Cultural regeneration is a widely used tool for urban development. This culture, which can be expressed in a multitude of ways, frequently necessitates physical places for its practice, in spite of the virtual advantages. The public
Mouhoubi Nedjima, Bakour Amira Kahina
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EuclidMatematika telah ada sejak zaman dahulu dan selalu mengalami perkembangan. Pada abad 13, matematika mengalami perkembangan di eropa terutama sejak diperkenalkannya sistem angka Hindu-Arab serta konsep-konsep lainnya oleh Leonardo Fibonacci dalam bukunya Liber Abaci, Eropa mengalami perubahan besar dalam cara mengolah dan memahami matematika.
Sarah Fadiya, null Yulyanti Harisman
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Didattica della MatematicaIn questo articolo si racconta un’esperienza didattica svolta presso una scuola secondaria di primo grado sull’uso della storia nella didattica della matematica.
Silvia Cerasaro, Silvia Salvatori
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Notes on generalized and extended Leonardo numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 This paper both extends and generalizes recently published properties which have been developed by many authors for elements of the Leonardo sequence in the context of second-order recursive sequences.
Anthony G. Shannon +2 more
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Pauli–Leonardo quaternions [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this study, we define Pauli–Leonardo quaternions by taking the coefficients of the Pauli quaternions as Leonardo numbers. We give the recurrence relation, Binet formula, generating function, exponential generating function, some special equalities ...
Zehra İşbilir +2 more
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Hybrid Quaternions of Leonardo
Trends in Computational and Applied Mathematics, 2022 In this article, we intend to investigate the Leonardo sequence presenting the hybrid Leonardo quaternions. To explore Hybrid Quaternions of Leonardo, the priori, sequence of Leonardo, quaternions and hybrid numbers were presented.
M. C. S. Mangueira +2 more
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