Results 11 to 20 of about 1,800 (293)

Dual Quaternions and Dual Quaternion Vectors

Communications on Applied Mathematics and Computation, 2022
We introduce a total order and the absolute value function for dual numbers. The absolute value function of dual numbers are with dual number values, and have properties similar to the properties of the absolute value function of real numbers. We define the magnitude of a dual quaternion, as a dual number.
Liqun Qi, Chen Ling, Hong Yan
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IMU Signal Generator Based on Dual Quaternion Interpolation for Integration Simulation [PDF]

Sensors, 2018
This paper focuses on the problem of high-update-rate and high accuracy inertial measurement unit signal generation. In order to be in accordance with the vehicle’s kinematic and dynamic characteristics as well as the characteristics of pseudorange
Ke Liu, Wenqi Wu, Kanghua Tang, Lei He
doaj   +2 more sources

Generalized dual Fibonacci quaternions with dual coefficient [PDF]

Notes on Number Theory and Discrete Mathematics, 2018
In this paper, we defined the generalized dual Fibonacci quaternions with dual coefficient. Also, we investigated the relations between the generalized dual Fibonacci quaternions with dual coefficient. Furthermore, we gave the Binet's formulas and Cassini identities for these quaternions.
Fügen Torunbalcı Aydın
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Dual Jacobsthal Quaternions

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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Factorization of Dual Quaternion Polynomials Without Study's Condition. [PDF]

Adv Appl Clifford Algebr, 2021
Siegele J, Pfurner M, Schröcker HP.
europepmc   +3 more sources

Hyper-Dual Leonardo Quaternions

Journal of New Theory
In 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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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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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, Gok, Ismail, Tan, Elif   +2 more
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Predicting Rigid Body Dynamics Using Dual Quaternion Recurrent Neural Networks With Quaternion Attention

IEEE Access, 2022
We propose a novel neural network architecture based on dual quaternions which allow for a compact representation of information with a main focus on describing rigid body movements.
Johannes Poppelbaum, Andreas Schwung
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Modified Hand–Eye Calibration Using Dual Quaternions

Applied Sciences, 2022
This paper presents a modified model for hand–eye calibration based on dual quaternion algebra. By using dual quaternions to represent the rotations and translations of a rigid body simultaneously in the task space, the formulation is elegant for the ...
Guozhi Li, Shuizhong Zou, Shuxue Din, Bin Qi   +3 more
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