Results 21 to 30 of about 1,636 (288)
Hyper-dual Horadam quaternions [PDF]
Miskolc Mathematical Notes, 2021 This paper deals with developing a new class of quaternions, called hyper-dual Horadam quaternions which are constructed from the quaternions whose components are hyper-dual Horadam numbers. We investigate the algebraic properties of these quaternions.
Ait-Amrane, N. Rosa +2 more
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On the dual quaternion geometry of screw motions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this study, the screw motions are studied using dual quaternions with the help of di erent perspectives. Firstly, orthogonality definition of dual quaternions is given and geometric interpretation of orthogonality condition is made.
Erişir Tülay +3 more
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Dual Fibonacci Quaternions [PDF]
Advances in Applied Clifford Algebras, 2014 In this study, we define the dual Fibonacci quaternion and the dual Lucas quternion. We derive the relations between the dual Fibonacci and the dual Lucas quaternion which connected the Fibonacci and the Lucas numbers. Furthermore, we give the Binet and Cassini formulas for these quaternions.
Nurkan, Semra Kaya, Güven İ.A.
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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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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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Pose-Following with Dual Quaternions
2023 62nd IEEE Conference on Decision and Control (CDC), 2023 This work focuses on pose-following, a variant of path-following in which the goal is to steer the system's position and attitude along a path with a moving frame attached to it. Full body motion control, while accounting for the additional freedom to self-regulate the progress along the path, is an appealing trade-off.
Jon Arrizabalaga, Markus Ryll
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Dual Quaternions for the Kinematic Description of a Fish–Like Propulsion System
International Journal of Applied Mathematics and Computer Science, 2023 This study discusses the use of quaternions and dual quaternions in the description of artificial fish kinematics. The investigation offered here illustrates quaternion and dual quaternion algebra, as well as its implementation in the software chosen ...
Kitowski Zygmunt +2 more
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Analytical dual quaternion algorithm of the weighted three-dimensional coordinate transformation
Earth, Planets and Space, 2022 Considering that a unit dual quaternion can describe elegantly the rigid transformation including rotation and translation, the point-wise weighted 3D coordinate transformation using a unit dual quaternion is formulated.
Huaien Zeng +6 more
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CoRR, 2023 Transformations in the field of computer graphics and geometry are one of the most important concepts for efficient manipulation and control of objects in 2-dimensional and 3-dimensional space. Transformations take many forms each with their advantages and disadvantages.
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