Results 1 to 10 of about 1,451,548 (325)
AIMS Mathematics, 2023 This paper introduced the concept of dual Leonardo numbers to generalize the earlier studies in harmony and establish key formulas, including the Binet formula and the generating function. Both were employed to obtain specific elements from the sequence.
Adnan Karataş
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Automatic differential kinematics of serial manipulator robots through dual numbers
TESEA, Transactions on Energy Systems and Engineering ApplicationsDual Numbers are an extension of real numbers known for its capability of performing exact automatic differentiation of one-valued functions theoretically without error approximation.
Luis Antonio Orbegoso Moreno +1 more
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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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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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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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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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Mathematics and Poetry • Unification, Unity, Union
Sci, 2020 We consider a multitude of topics in mathematics where unification constructions play an important role: the Yang–Baxter equation and its modified version, Euler’s formula for dual numbers, means and their inequalities, topics in differential geometry ...
Florin Felix Nichita
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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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Veronese representation of projective Hjelmslev planes over some quadratic alternative algebras [PDF]
, 2020 We geometrically characterise the Veronese representations of ring projective planes over algebras which are analogues of the dual numbers, giving rise to projective Hjelmslev planes of level 2 coordinatised over quadratic alternative algebras.
De Schepper, Anneleen +1 more
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