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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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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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The Neutrosophic Quaternions Numbers [PDF]
Neutrosophic Sets and SystemsThis article aims to study the neutrosophic quaternion numbers, where we defined the neutrosophic quaternions numbers and the two equal neutrosophic quaternions numbers, also, the neutrosophic quaternions numbers algebra were introduced by studying ...
Yaser Ahmad Alhasan +2 more
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International Journal of Pure and Apllied Mathematics, 2014 Physics is in its development a major challenge to relate fields, this paper presents a proposal to relate classical fields of physics, ie the electric field, magnetic field and gravitational equations by time-dependent. The proposal begins with the work that determines the Cauchy-Riemann conditions for quaternions [1], and the determination of Laplace’
Marão, José Antonio Pires +1 more
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CoRR, 2022 Quaternion valued neural networks experienced rising popularity and interest from researchers in the last years, whereby the derivatives with respect to quaternions needed for optimization are calculated as the sum of the partial derivatives with respect to the real and imaginary parts.
Johannes Pöppelbaum, Andreas Schwung
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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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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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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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