Results 41 to 50 of about 13,019 (252)
Field Equations in the Complex Quaternion Spaces
Advances in Mathematical Physics, 2014 The paper aims to adopt the complex quaternion and octonion to formulate the field equations for electromagnetic and gravitational fields. Applying the octonionic representation enables one single definition to combine some physics contents of two fields,
Zi-Hua Weng
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IEEE Access, 2022 We propose a novel neural network architecture based on dual quaternions which allow for a compact representation of information with a main focus on describing rigid body movements.
Johannes Poppelbaum, Andreas Schwung
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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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NILAI EIGEN MATRIKS QUATERNION [PDF]
, 2019 AbstrakMenurut Zhang (2007), jika adalah matriks quaternion dengan dan adalah nilai eigen kiri dari , maka . Dalam penelitian ini akan ditunjukkan tiga hal. Pertama, jika adalah matriks quaternion dengan dan adalah nilai eigen kiri dari maka .Kata
Ekawati, Susi
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Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra and commutative quaternion ...
Kosal Hidayet Huda, Tosun Murat
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Quaternion Approach to the Measurement of the Local Birefringence Distribution in Optical Fibers
IEEE Photonics Journal, 2015 A method to structure the Jones quaternion utilizing Pauli matrices is proposed, improving the quaternion theory of polarization optics. It is proved that the Stokes quaternion is the double product of the Jones quaternion and its Hermitian transpose and
Lanlan Liu +4 more
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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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Enabling quaternion derivatives: the generalized HR calculus [PDF]
Royal Society Open Science, 2015 Quaternion derivatives exist only for a very restricted class of analytic (regular) functions; however, in many applications, functions of interest are real-valued and hence not analytic, a typical case being the standard real mean square error objective
Dongpo Xu +3 more
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