Results 51 to 60 of about 15,608 (198)
Quaternion Hankel Transform and its Generalization [PDF]
Sahand Communications in Mathematical AnalysisIn this study, the quaternion Hankel transform is developed. Basic operational properties and inversion formula of quaternion Hankel transform are derived. Parseval’s relation for this transform is also established.
Khinal Parmar, V. R. Lakshmi Gorty
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Communications in Mathematical Physics, 1996 We present the simplest non-abelian version of Seiberg-Witten theory: Quaternionic monopoles. These monopoles are associated with Spin^h(4)-structures on 4-manifolds and form finite-dimensional moduli spaces. On a Kahler surface the quaternionic monopole equations decouple and lead to the projective vortex equation for holomorphic pairs.
Okonek, Christian, Teleman, Andrei
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Angular momentum and torque described with the complex octonion
AIP Advances, 2014 The paper aims to adopt the complex octonion to formulate the angular momentum, torque, and force etc in the electromagnetic and gravitational fields.
Zi-Hua Weng
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Quaternion Matrix Factorization for Low-Rank Quaternion Matrix Completion
Mathematics, 2023 The main aim of this paper is to study quaternion matrix factorization for low-rank quaternion matrix completion and its applications in color image processing.
Jiang-Feng Chen +3 more
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Examples and CounterexamplesIn this work, we first introduce the two-sided quaternion Fourier transform and demonstrate its essential properties. We generalize Titchmarsh’s-type theorem in the framework of the two-sided quaternion Fourier transform. Based on the interaction between
Mawardi Bahri
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Quaternion Statistical Submanifolds and Submersions
MathematicsThis paper aims to develop a general theory of quaternion Kahlerian statistical manifolds and to study quaternion CR-statistical submanifolds in such ambient manifolds.
Aliya Naaz Siddiqui, Fatimah Alghamdi
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Augmented Quaternion Extreme Learning Machine
IEEE Access, 2019 As an efficient training strategy for single hidden layer neural networks, extreme learning machine, and its variants have been widely used due to its fast learning speed and superior generalization performance.
Huisheng Zhang, Hui Lv
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Quaternions and matrices of quaternions
Linear Algebra and its Applications, 1997 The author gives a useful survey on quaternions and matrices of quaternions. He recalls standard facts going back to Rowan Hamilton as well as new results motivated by applications in physical theories. The main research problem presented in the paper is to extend the classical matrix theory from complex to the quaternion matrices.
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