Results 21 to 30 of about 2,644,466 (335)
Investigation Of Dual-Complex Fibonacci, Dual-Complex Lucas Numbers And Their Properties
Advances in Applied Clifford Algebras, 2017 In this study, we define the dual complex Fibonacci and Lucas numbers. We give the generating functions and Binet formulas for these numbers. Moreover, the well-known properties e.g.
Güngör, Mehmet Ali +4 more
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Dual Numbers and Topological Hjelmslev Planes
Canadian Mathematical Bulletin, 1983 In 1929 J. Hjelmslev introduced a geometry over the dual numbers ℝ+tℝ with t2 = Q. The dual numbers form a Hjelmslev ring, that is a local ring whose (unique) maximal ideal is equal to the set of 2 sided zero divisors and whose ideals are totally ordered
J. W. Lorimer
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Dual Numbers Approach in Multiaxis Machines Error Modeling
Journal of Applied Mathematics, 2014 Multiaxis machines error modeling is set in the context of modern differential geometry and linear algebra. We apply special classes of matrices over dual numbers and propose a generalization of such concept by means of general Weil algebras.
Jaroslav Hrdina, Petr Vašík
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Dual number automatic differentiation as applied to two-group cross-section uncertainty propagation [PDF]
Nuclear Technology and Radiation Protection, 2021 This work addresses the problem of propagating uncertainty from group-wise neutron cross-sections to the results of neutronics diffusion calculations.
Bokov Pavel M. +2 more
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Dual-Gaussian Pell and Pell-Lucas numbers
Cumhuriyet Science Journal, 2022 In this study, we define a new type of Pell and Pell-Lucas numbers which are called dual-Gaussian Pell and dual-Gaussian Pell-Lucas numbers. We also give the relationship between negadual-Gaussian Pell and Pell-Lucas numbers and dual-complex Pell
Hasan Gökbaş
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GAUSSIAN DUAL FIBONACCI NUMBERS
, 2018 In this paper, firstly we defined Gaussian dual number and Gaussian dual Fibonacci numbers later, we obtained two-dimensional recurrence relations and some results regarding Gaussian dual Fibonacci numbers.
Aydin, Fugen Torunbalci, YÜCE, Salim
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Generalization of Neural Networks on Second-Order Hypercomplex Numbers
Mathematics, 2023 The vast majority of existing neural networks operate by rules set within the algebra of real numbers. However, as theoretical understanding of the fundamentals of neural networks and their practical applications grow stronger, new problems arise, which ...
Stanislav Pavlov +5 more
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Jacobsthal Representation Hybrinomials
Annales Mathematicae Silesianae, 2022 Jacobsthal numbers are a special case of numbers defined recursively by the second order linear relation and for these reasons they are also named as numbers of the Fibonacci type.
Liana Mirosław +2 more
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On a generalization of dual-generalized complex Fibonacci quaternions [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this study, we introduce a new class of generalized quaternions whose components are dual-generalized complex Horadam numbers. We investigate some algebraic properties of them.
Elif Tan, Umut Öcal
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Hyper-Dual Leonardo Numbers [PDF]
, 2022 In the present paper, the hyper-dual Leonardo numbers will be introduced with the use of Leonardo numbers. Some algebraic properties of these numbers such as recurrence relation, generating function, Catalan’s and Cassini’s identity, Binet’s formula ...
Özkaldı Karakuş, Sıddıka +2 more
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