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Revisiting Quaternion Dual Electrodynamics [PDF]
International Journal of Theoretical Physics, 2008 15 ...
Bisht, P. S., Negi, O. P. S.
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Communications in Advanced Mathematical Sciences, 2020 In this paper, dual Jacobsthal quaternions were defined. Also, the relations between dual Jacobsthal quaternions which connected with Jacobsthal and Jacobsthal-Lucas numbers were investigated. Furthermore, Binet's formula, Honsberger identity, D'ocagne'
Fügen Torunbalcı Aydın
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3D kinematics using dual quaternions: theory and applications in neuroscience [PDF]
Frontiers in Behavioral Neuroscience, 2013 In behavioral neuroscience, many experiments are developed in 1 or 2 spatialdimensions, but when scientists tackle problems in 3-dimensions (3D), theyoften face problems or new challenges. Results obtained for lower dimensionsare not always extendable in
Guillaume eLeclercq +5 more
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Dual Quaternions as Constraints in 4D-DPM Models for Pose Estimation [PDF]
Sensors, 2017 The goal of this research work is to improve the accuracy of human pose estimation using the Deformation Part Model (DPM) without increasing computational complexity.
Enrique Martinez-Berti +2 more
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Adaptive Control for Gravitational Wave Detection Formation Considering Time-Varying Communication Delays [PDF]
Sensors, 2023 A distributed six-degree-of-freedom (6-DOF) cooperative control for multiple spacecraft formation is investigated considering parametric uncertainties, external disturbances, and time-varying communication delays.
Yu Zhang +4 more
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Dual Quaternion Functions and Its Applications [PDF]
Journal of Applied Mathematics, 2013 A dual quaternion is associated with two quaternions that have basis elements e0, e1, e2, e3, and ε. Dual numbers are often written in the form z=ζ+εζ*, where ε is the dual identity and has the properties ε2=0 (ε≠0).
Su Jin Lim, Kwang Ho Shon
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Hyper-Dual Leonardo Quaternions
Journal of New TheoryIn this paper, hyper-dual Leonardo quaternions are defined and studied. Some basic properties of the hyper-dual Leonardo quaternions, including their relationships with the hyper-dual Fibonacci quaternions and hyper-dual Lucas quaternions, are analyzed ...
Tülay Yağmur
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A High-Precision Hand–Eye Coordination Localization Method under Convex Relaxation Optimization [PDF]
SensorsTraditional switching operations require on-site work, and the high voltage generated by arc discharges can pose a risk of injury to the operator. Therefore, a combination of visual servo and robot control is used to localize the switching operation and ...
Jin Hua +3 more
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Dual Complex Pell Quaternions [PDF]
Journal of Computer Science & Computational Mathematics, 2020 In this paper, dual complex Pell numbers and quaternions are defined. Also, some algebraic properties of dual-complex Pell numbers and quaternions which are connected with dual complex numbers and Pell numbers are investigated. Furthermore, the Honsberger identity, Binet's formula, Cassini's identity, Catalan's identity for these quaternions are given.
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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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