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Some properties of complex quaternion and complex split quaternion matrices [PDF]
Miskolc Mathematical Notes, 2019 The aim of this study is to investigate some properties of complex quaternion and complex split quaternion matrices. To verify this, we use 2x2 complex matrix representation of these quaternions. Moreover, we present a method to find the determinant of complex quaternion and complex split quaternion matrices.
Alagoz, Y., Ozyurt, G.
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Alexandria Engineering Journal, 2023 This paper proposes a new robust watermarking method for securing color medical images, where the proposed method relies on combining Slant, Singular Value Decomposition (SVD), and quaternion Fourier-Transform (QFT).
Mohamed Meselhy Eltoukhy +3 more
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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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On Constraint Manifolds of Lorentz Sphere
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 The expression of the structure equation of a mechanism is significant to present the last position of the mechanism. Moreover, in order to attain the constraint manifold of a chain, we need to constitute the structure equation.
Aktaş Buşra +2 more
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Blocks with a generalized quaternion defect group and three simple modules over a 2-adic ring [PDF]
, 2015 We show that two blocks of generalized quaternion defect with three simple modules over a sufficiently large 2-adic ring O are Morita-equivalent if and only if the corresponding blocks over the residue field of O are Morita-equivalent.
Eisele, F.
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ON BÄCKLUND TRANSFORMATIONS WITH SPLIT QUATERNIONS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2020 The present paper deals with the introduction of Bäcklund Transformations with split quaternions in Minkowski space. Firstly, we tersely summarized the basic concepts of split quaternion theory and Bishop Frames of non-null curves in Minkowski space.
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Modified Local and Global Contrast Enhancement Algorithm for Color Satellite Image [PDF]
EPJ Web of Conferences, 2019 The quality of remotely sensed satellite images depends on the reflected electromagnetic radiation from the earth’s surface features. Lack of consistent and similar amounts of energy reflected by different features from the earth’s surface results in a ...
Voronin Viacheslav
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On split r-Jacobsthal quaternions
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2020 In this paper we introduce a one-parameter generalization of the split Jacobsthal quaternions, namely the split r-Jacobsthal quaternions. We give a generating function, Binet formula for these numbers. Moreover, we obtain some identities, among others Catalan, Cassini identities and convolution identity for the split r-Jacobsthal quaternions.
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Quintessence and phantom emerging from the split-complex field and the split-quaternion field
, 2015 Motivated by the mathematic theory of split-complex numbers (or hyperbolic numbers, also perplex numbers) and the split-quaternion numbers (or coquaternion numbers), we define the notion of split-complex scalar field and the split-quaternion scalar field.
Chen, Xuelei +2 more
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Splitting of differential quaternion algebras
Journal of Algebra, 2023 We study differential splitting fields of quaternion algebras with derivations. A quaternion algebra over a field $k$ is always split by a quadratic extension of $k$. However, a differential quaternion algebra need not be split over any algebraic extension of $k$.
Parul Gupta +2 more
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