Results 31 to 40 of about 542 (165)
Quaternion based generalization of Chern–Simons theories in arbitrary dimensions
Physics Letters B, 2017 A generalization of Chern–Simons gauge theory is formulated in any dimension and arbitrary gauge group where gauge fields and gauge parameters are differential forms of any degree.
Alessandro D'Adda +3 more
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Convolution Theorems for Quaternion Fourier Transform: Properties and Applications
Abstract and Applied Analysis, 2013 General convolution theorems for two-dimensional quaternion Fourier transforms (QFTs) are presented. It is shown that these theorems are valid not only for real-valued functions but also for quaternion-valued functions. We describe some useful properties
Mawardi Bahri +2 more
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Weighted Convolution for Quaternion Linear Canonical Cosine Transform and Its Application
AxiomsConvolution plays a pivotal role in the domains of signal processing and optics. This paper primarily focuses on studying the weighted convolution for quaternion linear canonical cosine transform (QLCcT) and its application in multiplicative filter ...
Rongbo Wang, Qiang Feng
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Consimilarity and quaternion matrix equations AX −^X B = C, X − A^X B = C
Special Matrices, 2014 L. Huang [Consimilarity of quaternion matrices and complex matrices, Linear Algebra Appl. 331(2001) 21–30] gave a canonical form of a quaternion matrix with respect to consimilarity transformationsA ↦ ˜S−1AS in which S is a nonsingular quaternion matrix ...
Klimchuk Tatiana, Sergeichuk Vladimir V.
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Visualizing Quaternion Multiplication
IEEE Access, 2017 Quaternion rotation is a powerful tool for rotating vectors in 3-D; as a result, it has been used in various engineering fields, such as navigations, robotics, and computer graphics. However, understanding it geometrically remains challenging, because it
Jongchan Baek +3 more
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IEEE Access, 2021 For scenarios of coherent underwater sources at low signal-to-noise ratio (SNR), a novel quaternion-based DOA algorithm without eigendecomposition is proposed using a linear vector-hydrophone array.
Yi Lou +3 more
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The 2-refined neutrosophic quaternions numbers [PDF]
Neutrosophic Sets and SystemsThis paper explores the concept of 2-refined neutrosophic quaternion numbers by first introducing their formal definition along with the notion of equality between two such numbers.
Iqbal Ahmed Musa +2 more
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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 +3 more
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Fractal and Fractional, 2023 Very recently, a different generalization of real-valued neural networks (RVNNs) to multidimensional domains beside the complex-valued neural networks (CVNNs), quaternion-valued neural networks (QVNNs), and Clifford-valued neural networks (ClVNNs) has ...
Călin-Adrian Popa
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Superderivations and Jordan superderivations of generalized quaternion algebras [PDF]
Journal of Mahani Mathematical ResearchLet $H_{\alpha,\beta}$ be the generalized quaternion algebra over a unitary commutative ring. This paper aims to consider superderivations and Jordan superderivations of $H_{\alpha,\beta}$ and hence to obtain the superalgebra $Der_{s} (H_{\alpha,\beta})$
Leila Heidari Zadeh
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