Results 41 to 50 of about 3,075 (226)

A Wearable Brain–Computer Interface for Mitigating Car Sickness via Attention Shifting

Advanced Science, EarlyView.
Car sickness poses a major challenge in vehicular travel, yet effective nonpharmacological solutions are scarce. We developed a wearable, closed‐loop mindfulness BCI that uses real‐time EEG‐based neurofeedback to shift attention away from motion‐induced discomfort. Validated in real‐car experiments involving >100$>100$ susceptible individuals, over 83%
Jiawei Zhu, Xiaoyu Bao, Qiyun Huang, Tao Wang, Li Huang, Haiyun Huang, Junbiao Zhu, Jun Qu, Kendi Li, Di Chen, Ya Jiang, Kailin Xu, Zijian Wang, Wei Wu, Yuanqing Li   +14 more
wiley   +1 more source

Partial difference equations arising from the Cauchy-Riemann equations

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2006
We consider some functional equations arising from the Cauchy-Riemann equations, and certain related functional equations. First we propose a new functional equation (E.1) below, over a $2$-divisible Abelian group, which is a discrete version of the ...
S. Haruki, S. Nakagiri
doaj  

On a conditional Cauchy functional equation of several variables and a characterization of multivariate stable distributions

International Journal of Mathematics and Mathematical Sciences, 1993
The general solution of a conditional Cauchy functional equation of several variables is obtained and its applications to the characterizations of multivariate stable distributions are studied.
Arjun K. Gupta, Truc T. Nguyen, Wei-Bin Zeng   +2 more
doaj   +1 more source

Intelligent Soft Opto‐Magnetic Robot for Minimally Invasive Interventional Therapy

Advanced Science, EarlyView.
An intelligent soft opto‐magnetic (iSOM) robot is developed that integrates remote magnetic actuation, skin‐mimic tactile perception, and photothermal ablation in a near‐millimeter‐scale design. It enables precise intraluminal navigation and localized ablation while providing real‐time optical feedback to support safe and accurate minimally invasive ...
Jingjing Guo, Xiaoyan Guo, Jian Wei, Miaowen Jiang, Qifa Su, Xian Xia, Zhuozhou Li, Rong Cai, Jianguo Ma, Bo Fu, Ming Li, Jing Zhong, Lijun Xu, Xunming Ji   +13 more
wiley   +1 more source

A Fixed Point Approach to the Stability of a Functional Equation of the Spiral of Theodorus

Fixed Point Theory and Applications, 2008
Cădariu and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we adopt the idea of Cădariu and Radu to prove the stability of a functional equation of the spiral of Theodorus, f(x+1)=(
John Michael Rassias, Soon-Mo Jung
doaj   +2 more sources

Magneto‐X Effects in Magnetic Soft Materials and Their Applications

Advanced Science, EarlyView.
This review systematically explores magnetic soft materials (MSMs), a novel class of composites that transform under magnetic fields. It catalogs fundamental “Magneto‐X” effects, classifies materials by their matrix and magnetic fillers, and highlights transformative applications in soft robotics, biomedical devices, flexible electronics, etc. Finally,
Ziyin Xiang, Xiangling Xia, Benjamin Ducharne, Yujie Ye, Jie Shang, Run‐Wei Li   +5 more
wiley   +1 more source

On some functional equation generalizing Cauchy's and d'Alembert's functional equations [PDF]

Colloquium Mathematicum, 1988
From author's introduction: Let G be a compact group and \(\Gamma\) a locally compact abelian group. Suppose \(\Gamma\) is a G-space in the sense that there is a map \(G\times \Gamma \ni (g,x)\to gx\in \Gamma\) such that \(g(hx)=(gh)x\), \(ex=x\) and \(g(x+y)=gx+gy\) for all \(g,h\in G\) and all \(x,y\in \Gamma\) (e is the neutral element of G ...
openaire   +2 more sources

Trust‐region filter algorithms utilizing Hessian information for gray‐box optimization

AIChE Journal, EarlyView.
Abstract Optimizing industrial processes often involves gray‐box models that couple algebraic glass‐box equations with black‐box components lacking analytic derivatives. Such systems challenge derivative‐based solvers. The classical trust‐region filter (TRF) algorithm provides a robust framework but requires extensive parameter tuning and numerous ...
Gul Hameed, Tao Chen, Antonio del Rio Chanona, Lorenz T. Biegler, Michael Short   +4 more
wiley   +1 more source

Stability of Quadratic Functional Equations via the Fixed Point and Direct Method

Journal of Inequalities and Applications, 2010
Cădariu and Radu applied the fixed point theorem to prove the stability theorem of Cauchy and Jensen functional equations. In this paper, we prove the generalized Hyers-Ulam stability via the fixed point method and investigate new theorems via ...
Juri Lee, Eunyoung Son, Hark-Mahn Kim
doaj   +2 more sources

Optimization of 3D‐Printed Structured Packings—Current State and Future Developments

Chemie Ingenieur Technik, EarlyView.
This paper gives an overview about structured packing development for distillation, surveying heuristic development cycles, computational fluid dynamics simulations, and additive manufacturing techniques. The emerging application of shape optimization to improve packings is emphasized, and its benefits, impact, and limitations are discussed.
Dennis Stucke, Sebastian Blauth, Christian Leithäuser, Thomas Grützner   +3 more
wiley   +1 more source