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Jordan semi-triple derivations and Jordan centralizers on generalized quaternion algebras
AIMS Mathematics, 2023 In this paper, we investigate Jordan semi-triple derivations and Jordan centralizers on generalized quaternion algebras over the field of real numbers. We prove that every Jordan semi-triple derivation on generalized quaternion algebras over the field of
Ai-qun Ma, Lin Chen, Zijie Qin
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Semi-supervised clustering of quaternion time series: Application to gait analysis in multiple sclerosis using motion sensor data. [PDF]
Stat Med, 2023 Recent approaches in gait analysis involve the use of wearable motion sensors to extract spatio‐temporal parameters that characterize multiple aspects of an individual's gait.
Drouin P +7 more
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Systems Science & Control EngineeringThis paper presents a comprehensive analysis of non-fragile projective lag synchronization (PLS) in semi-Markov jumping quaternion-valued neural networks (SMQVNNs) with complex delay structures, encompassing leakage delay, proportional delays, and ...
Jincy Jacob, S. Dharani
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4-quasiplanar mappings of almost quaternion and semi-quaternion manifolds
Pracì Mìžnarodnogo Geometričnogo Centru, 2015 We investigate special type mappings of Riemannian spaces with almost and semi-quaternion ...
Ирина Николаевна Курбатова
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On numerical/non-numerical algebra: Semi-tensor product method
Mathematical Modelling and Control, 2021 A kind of algebra, called numerical algebra, is proposed and investigated. As its opponent, non-numerical algebra is also defined. The numeralization and dis-numeralization, which convert non-numerical algebra to numerical algebra and vise versa, are ...
Daizhan Cheng +3 more
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MathematicsIn this article, we study the Ricci soliton on quaternion bi-slant submanifolds of quaternion Kaehler manifolds. We obtain a lower-bound-type inequality in terms of expanding gradient Ricci solitons with a gradient-type vector field for the quaternion bi-
Ali H. Hakami, Mohd Danish Siddiqi
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IEEE AccessIn the multimedia arena, image tampering is an uncontrollable process that necessitates content authentication and tamper detection in a variety of applications.
P. Aberna, L. Agilandeeswari
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Semi-global Exponential Stability for Dual Quaternion Based Rigid-Body Tracking Control [PDF]
AIAA SCITECH 2024 Forum, 2023 Semi-Global Exponential Stability (SGES) is proven for the combined attitude and position rigid-body motion tracking problem, presenting a significant upgrade compared to previously proposed controllers which can only guarantee asymptotic stability. Dual
Vrushabh Zinage +3 more
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Involutions in split semi‐quaternions
Mathematical Methods in the Applied Sciences, 2018 A map is an involution (resp, anti‐involution) if it is a self‐inverse homomorphism (resp, antihomomorphism) of a field algebra. The main purpose of this paper is to show how split semi‐quaternions can be used to express half‐turn planar rotations in 3‐dimensional Euclidean spaceand how they can be used to express hyperbolic‐isoclinic rotations in 4 ...
Murat Bekar, Yusuf Yayli
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Spatial agents for geological surface modelling [PDF]
Geoscientific Model Development, 2021 Increased availability and use of 3D-rendered geological models have provided society with predictive capabilities, supporting natural resource assessments, hazard awareness, and infrastructure development.
E. A. de Kemp
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