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Dual Quaternion Matrix Equation AXB = C with Applications
SymmetryDual quaternions have wide applications in automatic differentiation, computer graphics, mechanics, and others. Due to its application in control theory, matrix equation AXB=C has been extensively studied.
Yan Chen, Qing-Wen Wang, Lv-Ming Xie
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Linked triples of quaternion algebras [PDF]
Pacific Journal of Mathematics, 2014 Let \(F\) be a field of characteristic not \(2\). A collection \(Q_1,\ldots,Q_n\) (\(n\geq 2\)) of quaternion algebras over \(F\) is said to have a common slot if there exist \(a,b_i\in F^*\) with \(Q_i\cong (a,b_i)\), \(1\leq i\leq n\). This collection is said to be linked if any pair \(Q_i,Q_j\) has a common slot. \textit{E. Peyre} [Proc. Symp.
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A System of Tensor Equations over the Dual Split Quaternion Algebra with an Application
In this paper, we propose a definition of block tensors and the real representation of tensors. Equipped with the simplification method, i.e., the real representation along with the M-P inverse, we demonstrate the conditions that are necessary and ...
Liuqing Yang, Qing-Wen Wang, Zuliang Kou
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Business Strategy and the Environment, EarlyView.ABSTRACT This study systematizes the literature on eco‐innovation and economic complexity, aiming to understand how the sophistication of productive structures shapes countries' capacity to develop environmentally responsible innovations, and how eco‐innovation may, in turn, influence productive sophistication.
Gregory Matheus Pereira de Moraes +1 more
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Business Strategy and the Environment, EarlyView.ABSTRACT This study provides an exploratory, descriptive analysis of how knowledge management (KM) research engages with responsible sustainability from a strategic perspective. Using bibliometric science mapping, we analyse 97 Web of Science publications to identify dominant thematic patterns, relative emphases and conceptual blind spots shaping the ...
Jaime J. González‐Masip
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A‐optimal model‐based design of experiments for processes with uncertain inputs
The Canadian Journal of Chemical Engineering, EarlyView.Abstract Model‐based design of experiments (MBDoE) techniques are tools for selecting experimental conditions that enable accurate parameter estimation for mechanistic models. Most MBDoE approaches assume that the selected experimental conditions will be implemented perfectly, without uncertainties in the independent variables.
Bright Ofori +3 more
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ComputationThe article discusses the application of quaternion Fourier transforms and quaternion algebra to transform Maxwell’s equations. This makes it possible to present the problem of magnetotelluric sensing (MTS) in a more convenient form for research. Studies
Syrym E. Kasenov +3 more
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The Canadian Journal of Chemical Engineering, EarlyView.Abstract This work presents a simplified extended‐batch adsorber analogue model (e‐BAAM) to quantify key performance metrics such as purity, recovery, and energy trends for various pressure swing adsorption (PSA) process cycles for CO2$$ {\mathrm{CO}}_2 $$ capture.
Gwyneth Liske, Arvind Rajendran
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IEEE AccessThis article addresses the challenge of modeling and controlling load-assist exoskeletons operating under dynamic and uncertain conditions. Traditional approaches often rely solely on dual quaternions for kinematic modeling, limiting their applicability ...
Angel Eduardo Zamora-Suarez +3 more
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FLEXIBLE LOW-COST HW/SW ARCHITECTURES FOR TEST, CALIBRATION AND CONDITIONING OF MEMS SENSOR SYSTEMS
, 2011 During the last years smart sensors based on Micro-Electro-Mechanical systems (MEMS) are widely spreading over various fields as automotive, biomedical, optical and consumer, and nowadays they represent the outstanding state of the art.
SECHI, FRANCESCO
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