Results 11 to 20 of about 982,655 (280)
Dual quaternions and dual quaternionic curves [PDF]
Filomat, 2019 After a brief review of the different types of quaternions, we develop a new perspective for dual quaternions with dividing two parts. Due to this new perspective, we will define the isotropic and nonisotropic dual quaternions. Then we will also give the basic algebraic concepts about the dual quaternions. Moreover, we define isotropic dual
Dagdeviren, Ali, Yuce, Salim
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A Survey on Dual-Quaternions [PDF]
CoRR, 2023 arXiv admin note: text overlap with arXiv:2303 ...
Kenwright, Benjamin
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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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Involutions in Dual Split-Quaternions [PDF]
Advances in Applied Clifford Algebras, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bekar, MURAT, Yayli, Yusuf
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Dual third-order Jacobsthal quaternions [PDF]
Proyecciones (Antofagasta), 2018 In 2016, Yüce and Torunbalcı Aydın (18) defined dual Fibonacci quaternions. In this paper, we defined the dual third-order Jacobsthal quaternions and dual third-order Jacobsthal-Lucas quaternions. Also, we investigated the relations between the dual third-order Jacobsthal quaternions and third-order Jacobsthal numbers.
Cerda-Morales, Gamaliel
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The Regularity of Functions on Dual Split Quaternions in Clifford Analysis
Abstract and Applied Analysis, 2014 This paper shows some properties of dual split quaternion numbers and expressions of power series in dual split quaternions and provides differential operators in dual split quaternions and a dual split regular function on Ω⊂ℂ2×ℂ2 that has a dual split ...
Ji Eun Kim, Kwang Ho Shon
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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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Spacecraft Robot Kinematics Using Dual Quaternions
Robotics, 2018 In recent years, there has been a growing interest in servicing orbiting satellites. In most cases, in-orbit servicing relies on the use of spacecraft-mounted robotic manipulators to carry out complicated mission objectives.
Alfredo Valverde, Panagiotis Tsiotras
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Quaternions and Dual Quaternions: Singularity-Free Multirobot Formation Control [PDF]
Journal of Intelligent & Robotic Systems, 2016 Cluster space control is a method of multirobot formation keeping that considers a group of robots to be a single entity, defining state variables to represent characteristics of the group, such as position, orientation, and shape. This technique, however, suffers from singularities when a minimal state representation is used. This paper presents three
Ignacio Mas, Christopher Kitts
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Skinning with dual quaternions [PDF]
Proceedings of the 2007 symposium on Interactive 3D graphics and games, 2007 Skinning of skeletally deformable models is extensively used for real-time animation of characters, creatures and similar objects. The standard solution, linear blend skinning, has some serious drawbacks that require artist intervention. Therefore, a number of alternatives have been proposed in recent years.
Ladislav Kavan +3 more
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