Results 251 to 260 of about 10,739 (275)

Split Quaternion Matrix Representation of Dual Split Quaternions and Their Matrices

Advances in Applied Clifford Algebras, 2015
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Erdoğdu, Melek, Özdemir, Mustafa
openaire   +1 more source

Generalized dual Fibonacci quaternions

2016
Summary: In this paper, we defined the generalized dual Fibonacci quaternions. Also, we investigated the relations between different generalized dual Fibonacci quaternions. Furthermore, we gave the Binet's formulas and Cassini identities for these quaternions.
Yuce, Salim, Torunbalcı Aydın, Fügen
openaire   +2 more sources

Dual quaternion theory over HGC numbers

Journal of Discrete Mathematical Sciences & Cryptography
Knowing the applications of quaternions in various fields, such as robotics, navigation, computer visualization and animation, in this study, we give the theory of dual quaternions considering Hyperbolic-Generalized Complex (HGC)  numbers as coefficients via generalized complex and hyperbolic numbers.
Gürses, Nurten, Saçlı, Gülsüm Yeliz
openaire   +3 more sources

Dual quaternion matrices and MATLAB applications

2018
Summary: There are many studies in the literature on real quaternions and real quaternion matrices. There are few studies in the literature on dual quaternions. Definitions of the matrices of dual quaternions used in this study will be given. The originality of our research, the set of dual quaternion matrix we studied, will be defined for the first ...
Nalbant, Kemal Gokhan, Yuce, Salim
openaire   +3 more sources

Visualizing Quaternions and Dual Quaternions

2023
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On properties of the dual quaternions

2011
Summary: In this paper, Euler's and De Moivre's formulas for complex numbers and quaternions are generalized for the dual quaternions. Also, the matrix representation of dual quaternions is expressed.
YÜCE, Salim, Ercan, Zeynep
openaire   +2 more sources

Robust and efficient forward, differential, and inverse kinematics using dual quaternions

International Journal of Robotics Research, 2021
Neil T Dantam
exaly  

Hyper Dual Quaternions representation of rigid bodies kinematics

Mechanism and Machine Theory, 2020
Moshe Shoham
exaly  

Matrix Representation of Dual Quaternions

2013
After a review of some properties of dual quaternions, De Moivre's and Euler's formulas for the matrices associated with these quaternions are studied. In special case, De Moivre's formula implies that there are uncountably many matrices of unit dual quaternions satisfying 4 n A I = for n≥3.
JAFARI, Mehdi, MERAL, Mücahit, YAYLI, Yusuf   +2 more
openaire   +1 more source

On dual Fibonacci quaternions

2013
In this study, we defined the dual Fibonacci quaternions. We investigated some algebraic properties of these quaternions. We gave the Binet formula and the generating function of them. We also gave their matrix representations.
openaire   +1 more source