Zobrazeno 1 - 10
of 105
pro vyhledávání: '"padovan sequence"'
Autor:
Dışkaya Orhan, Menken Hamza
Publikováno v:
Mathematica Moravica, Vol 27, Iss 2, Pp 115-126 (2023)
In this study, we define a new generalization of the Padovan numbers, which shall also be called the bi-periodic Padovan sequence. Also, we consider a generalized bi-periodic Padovan matrix sequence. Finally, we investigate the Binet formulas, genera
Externí odkaz:
https://doaj.org/article/f3b09856eed74aa9a841361ac194e71e
Publikováno v:
Mathematics, Vol 12, Iss 2, p 201 (2024)
The paper aims to extend the classical two-dimensional (2D) Fibonacci spiral into three-dimensional (3D) space by using geometric constructions starting from cubic Fibonacci identities and relying on affine maps and parametrizations of the curves. We
Externí odkaz:
https://doaj.org/article/15e9efda0c424c78b3eccffb075e6a9c
Autor:
Gwangyeon Lee, Jinsoo Kim
Publikováno v:
Symmetry, Vol 15, Iss 7, p 1389 (2023)
The hypercube is one of the best models for the network topology of a distributed system. Recently, Padovan cubes and Lucas–Padovan cubes have been introduced as new interconnection topologies. Despite their asymmetric and relatively sparse interco
Externí odkaz:
https://doaj.org/article/d9cc5aa5d8b6472cb0f3b273a8f80539
Publikováno v:
Communications in Advanced Mathematical Sciences, Vol 4, Iss 4, Pp 190-197 (2021)
This work investigates the numbers of Padovan and Perrin hybrids. At first, the hybrid numbers, the sequences in the hybrid form, and their matrix forms are ordered as studied sequences. Thus, it was possible to display the negative index hybrids, de
Externí odkaz:
https://doaj.org/article/8635fea27d9f4d8eaa7cc8805cbb6a86
Autor:
Mangueira Milena Carolina dos Santos, Vieira Renata Passos Machado, Alves Francisco Régis Vieira, Catarino Paula Maria Machado Cruz
Publikováno v:
Annales Mathematicae Silesianae, Vol 34, Iss 2, Pp 256-267 (2020)
In this article, we will define Padovan’s hybrid numbers, based on the new noncommutative numbering system studied by Özdemir ([7]). Such a system that is a set involving complex, hyperbolic and dual numbers. In addition, Padovan’s hybrid number
Externí odkaz:
https://doaj.org/article/fe1715197a80493cb3969accb052d899
Autor:
T.P. Goy, S.V. Sharyn
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 12, Iss 2, Pp 280-288 (2020)
In this paper, we find new relations involving the Pell-Padovan sequence which arise as determinants of certain families of Toeplitz-Hessenberg matrices. These determinant formulas may be rewritten as identities involving sums of products of Pell-Pad
Externí odkaz:
https://doaj.org/article/25034a899dd648edb92836e7b37a51c5
Autor:
Renata Passos Machado Vieira, Francisco Regis Vieira Alves, Paula Maria Machado Cruz Catarino
Publikováno v:
International Journal of Trends in Mathematics Education Research, Vol 3, Iss 1, Pp 8-12 (2020)
In the present text, we present some possibilities to formalize the mathematical content and a historical context, referring to a numerical sequence of linear and recurrent form, known as Sequence of Padovan or Cordonnier. Throughout the text some de
Externí odkaz:
https://doaj.org/article/6f0ca51fe3c7497daf1adeab482ec276
Akademický článek
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Autor:
Gwangyeon Lee, Jinsoo Kim
Publikováno v:
Symmetry, Vol 15, Iss 2, p 266 (2023)
We present a new interconnection topology called the Padovan cube. Despite their asymmetric and relatively sparse interconnections, the Padovan cubes are shown to possess attractive recurrent structures. Since they can be embedded in a subgraph of th
Externí odkaz:
https://doaj.org/article/2b72e5581ec248cebb16569264e840da
Publikováno v:
Heliyon, Vol 7, Iss 8, Pp e07765- (2021)
Recently, there has been huge interest to a new numeric set, which brings together three numerical systems: complex, hyperbolic and dual numbers, called as hybrid number. Motivated and based on the importance of this system, we apply the definition o
Externí odkaz:
https://doaj.org/article/9089cf35c30e446e9ad2e849e639684d