Results 41 to 50 of about 542 (165)
Abstract and Applied Analysis, 2017 The continuous quaternion wavelet transform (CQWT) is a generalization of the classical continuous wavelet transform within the context of quaternion algebra.
Mawardi Bahri, Ryuichi Ashino
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Contractions on ranks and quaternion types in clifford algebras
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 In this paper we consider expressions in real and complex Clifford algebras, which we call contractions or averaging. We consider contractions of arbitrary Clifford algebra element.
Dmitry S Shirokov
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Proper ARMA Modeling and Forecasting in the Generalized Segre’s Quaternions Domain
Mathematics, 2022 The analysis of time series in 4D commutative hypercomplex algebras is introduced. Firstly, generalized Segre’s quaternion (GSQ) random variables and signals are studied.
Jesús Navarro-Moreno +2 more
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LEVELS AND SUBLEVELS OF QUATERNION ALGEBRAS [PDF]
Mathematical Proceedings of the Royal Irish Academy, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Identities of a Ternary Quaternion Algebra [PDF]
Communications in Algebra, 2011 This article studies a simple 4-dimensional ternary algebra 𝒜 which appears analogously to the quaternions from the Lie algebra 𝔰𝔩(2). We describe the heights 1 and 2 identities, and the derivations of 𝒜. Based on 𝒜, some ternary enveloping algebras for ternary Filippov algebras are constructed.
Beites, P. D. +3 more
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Fractional Quaternion Zernike Moments for Robust Color Image Copy-Move Forgery Detection
IEEE Access, 2018 In this paper, fractional Zernike moments (FrZMs) for complex signals are generalized to fractional quaternion Zernike moments (FrQZMs) for quaternion signal processing in a holistic manner by the quaternion algebra.
Beijing Chen +4 more
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Advancing human activity recognition with quaternion-based recurrent neural networks
AutomatikaHuman activity recognition (HAR) stands as a vital nexus in the synthesis of healthcare, sports analytics, and human–computer interaction. This research introduces a groundbreaking approach to HAR by amalgamating the multidimensional strengths of ...
S. Gayathri Devi +4 more
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Universal approach to derivation of quaternion rotation formulas [PDF]
MATEC Web of Conferences, 2019 This paper introduces and defines the quaternion with a brief insight into its properties and algebra. The main part of this paper is devoted to the derivation of basic equations of the vector rotation around each rotational x, y, z axis.
Chudá Hana
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IEEE Access, 2020 The global exponential stability of commutative quaternion-valued neural networks (CQVNNs) with time varying delays is investigated in this paper. Considering that the Schwartz triangle inequality is not satisfied in the commutative quaternion field, the
Dongyuan Lin +3 more
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Free Subgroups of Quaternion Algebras [PDF]
Proceedings of the American Mathematical Society, 1993 Using the theory of group actions on trees, we shall prove that if a quaternion algebra over Laurant polynomials is not split then a certain congruence subgroup of the group of norm one elements is a free group. This generalizes and gives an easy, conceptually simpler proof than that given by Pollen for the field of real numbers.
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