Results 11 to 20 of about 1,933,683 (262)
On the Leonardo quaternions sequence [PDF]
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 formula, are established.
Patrícia Beites +1 more
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INVESTIGATING THE DUAL QUATERNION EXTENSION OF THE DGC LEONARDO SEQUENCE
In this study, we introduce a new generalization of the Leonardo sequence, dual quaternions with the DGC Leonardo sequence coefficients, depending on the parameter p is an element of R. This generalization gives dual quaternions with the dual-complex Leonardo sequence for p = -1, dual quaternions with the hyper-dual Leonardo sequence for p = 0, and ...
Yilmaz, Cigdemigdem zeynep +1 more
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State of the art on the Leonardo sequence: An evolutionary study of the epistemic-mathematical field
Pedagogical ResearchThis work is a segment of an ongoing doctoral research in Brazil. The Leonardo numbers and the Leonardo sequence have gained attention from mathematicians and the academic community. Despite being a relatively new sequence within mathematical literature, its discussion has intensified over the past five years, giving rise to other branches, with ...
Paula Catarino +1 more
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A note on generalized and extended Leonardo sequences [PDF]
Notes on Number Theory and Discrete Mathematics, 2022 This note considers some real and complex extensions and generalizations of the Leonardo sequence, which is embedded within each of these two types of intriguing sequences, intriguing because there are still some unanswered questions. The connections between inhomogeneous and homogeneous forms are used as examples of a possible reason that the Leonardo
Anthony G. Shannon, Ömür Deveci
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On the Hyperbolic Leonardo and Hyperbolic Francois Quaternions
Journal of New Theory, 2023 In this paper, we present a new definition, referred to as the Francois sequence, related to the Lucas-like form of the Leonardo sequence. We also introduce the hyperbolic Leonardo and hyperbolic Francois quaternions.
Paula Maria Machado Cruz Catarino +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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The Generalization of Gaussians and Leonardo’s Octonions
Annales Mathematicae Silesianae, 2023 In order to explore the Leonardo sequence, the process of complex-ification of this sequence is carried out in this work. With this, the Gaussian and octonion numbers of the Leonardo sequence are presented.
Vieira Renata Passos Machado +3 more
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On Dual Quaternions with $k-$Generalized Leonardo Components
Journal of New Theory, 2023 In this paper, we define a one-parameter generalization of Leonardo dual quaternions, namely $k-$generalized Leonardo-like dual quaternions. We introduce the properties of $k$-generalized Leonardo-like dual quaternions, including relations with Leonardo,
Gülsüm Yeliz Saçlı +1 more
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Environment 2.0: Through Cracks in the Pavement - Leonardo Call For Papers [PDF]
, 2008 Call for papers for the Leonardo journal. A new relationship is emerging as computing migrates into the environment. Leonardo is soliciting texts that document the works of artists, researchers, and scholars involved in the exploration of sustainability ...
Hemment, Drew
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Pathogens, 2021 The Abbey of San Leonardo in Siponto (Apulia, Southern Italy) was an important religious and medical center during the Middle Ages. It was a crossroads for pilgrims heading along the Via Francigena to the Sanctuary of Monte Sant’Angelo and for merchants ...
Donato Antonio Raele +5 more
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