Results 21 to 30 of about 4,452,319 (321)
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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A new approach to Jacobsthal, Jacobsthal-Lucas numbers and dual vectors
AIMS Mathematics, 2023 This paper gives a detailed study of a new generation of dual Jacobsthal and dual Jacobsthal-Lucas numbers using dual numbers. Also some formulas, facts and properties about these numbers are presented.
Faik Babadağ
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Higher Order Automatic Differentiation with Dual Numbers
Periodica Polytechnica Electrical Engineering and Computer Science, 2020 In engineering applications, we often need the derivatives of functions defined by a program. The approach chosen for derivative computation must be algebraic to allow computer implementation.
László Szirmay-Kalos
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Investigating generalized quaternions with dual-generalized complex numbers [PDF]
Mathematica Bohemica, 2023 We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values $\alpha$, $\beta$ and $\mathfrak{p}$.
Nurten Gürses +2 more
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Introduction to Third-Order Jacobsthal and Modified Third-Order Jacobsthal Hybrinomials
Discussiones Mathematicae - General Algebra and Applications, 2021 The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper, we introduce and study the third-order Jacobsthal and modified third-order Jacobsthal hybrinomials, i.e., polynomials, which are a generalization of the ...
Cerda-Morales Gamaliel
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JSIAM Letters, 2020 Hyper-dual numbers (HDN) are numbers de(cid:12)ned by using nilpotent elements that differ from each other. The introduction of an operator to extend the domain of functions to HDN space based on Taylor expansion allows higher-order derivatives to be ...
Yusuke Imoto +5 more
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Reduced Donaldson–Thomas invariants and the ring of dual numbers [PDF]
Proceedings of the London Mathematical Society, 2016 Let A be an abelian variety. We introduce A ‐equivariant Grothendieck rings and A ‐equivariant motivic Hall algebras, and endow them with natural integration maps to the ring of dual numbers.
G. Oberdieck, Junliang Shen
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On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers
Annales Mathematicae Silesianae, 2019 The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their properties.
Szynal-Liana Anetta, Włoch Iwona
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On a new one-parameter generalization of dual-complex Jacobsthal numbers
Acta Universitatis Sapientiae: Mathematica, 2021 In this paper we define dual-complex numbers with generalized Jacobsthal coefficients. We introduce one-parameter generalization of dual-complex Jacobsthal numbers - dual-complex r-Jacobsthal numbers.
Bród Dorota +2 more
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