Results 31 to 40 of about 8,815 (298)
Obtaining triplet from quaternions
, 2021 In this study, we obtain triplets from quaternions. First, we obtain triplets from real quaternions. Then, as an application of this, we obtain dual triplets from the dual quaternions.
Atasoy, Ali, Yaylı, Yusuf
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, 2021 In this paper, we define and study another interesting generalization of the Fibonacci quaternions is called k-order Fibonacci quaternions. Then we obtain for k = 2 Fibonacci quaternions, for k = 3 Tribonacci quaternions and for k = 4 Tetranacci ...
Asci, Mustafa, Aydinyuz, Suleyman
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Quaternions and Matrices of Quaternions [PDF]
, 2020 Quaternions comprise a noncommutative division algebra (skew field). As part of contemporary mathematics, they find uses not only in theoretical and applied mathematics but also in computer graphics, control theory, signal processing, physics, and ...
Zhang, Fuzhen
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On split Narayana and Narayana-Lucas hybrid quaternions [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we introduce the novel concepts of split Narayana quaternions and split Narayana-Lucas quaternions within the innovative framework of hybrid numbers.
Pankaj Kumar, Shilpa Kapoor
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Quaternion CR‐submanifolds of a quaternion Kaehler manifold [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We study the quaternion CR‐submanifolds of a quaternion Kaehler manifold. More specifically we study the properties of the canonical structures and the geometry of the canonical foliations by using the Bott connection and the index of a quaternion CR‐submanifold.
Bassil J. Papantoniou, M. Hasan Shahid
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On generalized Pentanacci quaternions [PDF]
, 2020 In this paper, we introduce the generalized Pentanacci quaternions and we present Binet's formulas, generating functions and the summation formulas for these quaternions and as special case for Pentanacci and Pentanacci-Lucas quaternions. Furthermore, we
Ozmen, Nejla +2 more
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On complex gaussian jacobsthal and jacobsthal-lucas quaternions
Cumhuriyet Science Journal, 2020 The main aim of this work is to introduce the complex Gaussian Jacobsthal and Jacobsthal-Lucas quaternions and investigate their structures. We obtain the recurrence relations, Binet formulas and generating functions for these quaternions.
Hasan Arslan
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Advances in Mechanical Engineering, 2017 The robust parameter estimation of unknown space objects is essential to the on-orbit servicing missions. Based on the adaptive filtering techniques along with the dual quaternions modeling methods for pose estimation, this article proposes a dual vector
Xianghao Hou +3 more
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