Results 31 to 40 of about 11,402 (264)

On derivations of linear algebras of a special type

Дифференциальная геометрия многообразий фигур
In this work, Lie algebras of differentiation of linear algebra, the op­eration of multiplication in which is defined using a linear form and two fixed elements of the main field are studied. In the first part of the work, a definition of differentiation
A. Ya. Sultanov , O. A. Monakhova, O. V. Bolotnikova   +2 more
doaj   +1 more source

Electric‐Current‐Assisted Nucleation of Zero‐Field Hopfion Rings

Advanced Materials, EarlyView.
This work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Xiaowen Chen, Dongsheng Song, Filipp N. Rybakov, Nikolai S. Kiselev, Long Li, Wen Shi, Rui Wu, Xuewen Fu, Olle Eriksson, Stefan Blügel, Rafal E. Dunin‐Borkowski, Haifeng Du, Fengshan Zheng   +12 more
wiley   +1 more source

Ultrafast Photocatalytic Wettability Switching in Substrate‐Interface Tailored Titanium Dioxide Thin Films

Advanced Materials Interfaces, EarlyView.
This study demonstrates ultrafast photocatalytic wettability switching in TiO2 thin films by tailoring substrate doping and interface oxides. Enhanced switching rates and hemiwicking effects are achieved through optimized material stacks and nanostructuring.
Rucha A. Deshpande, Jesper Navne, David C. B. Nielsen, Mathias Adelmark, Radu Malureanu, Ole Hansen, Rafael Taboryski   +6 more
wiley   +1 more source

Semiassociative algebras over a field

Journal of Algebra
An associative central simple algebra is a form of matrices, because a maximal étale subalgebra acts on the algebra faithfully by left and right multiplication. In an attempt to extract and isolate the full potential of this point of view, we study nonassociative algebras whose nucleus contains an étale subalgebra bi-acting faithfully on the algebra ...
Guy Blachar, Darrell Haile, Eliyahu Matzri, Edan Rein, Uzi Vishne   +4 more
openaire   +2 more sources

Stress‐Normalized Sensitivity as a Comparative Benchmark for Intrinsically Piezoresistive Nanocomposite Materials in Wearable Electronics

Advanced Materials Technologies, EarlyView.
A stress‐normalised sensitivity metric (S = G/Y) is introduced as a materials‐level benchmark for intrinsically piezoresistive nanocomposites. By decoupling electromechanical response (G) from stiffness (Y), the framework enables direct comparison across diverse systems and clarifies design trade‐offs for wearable sensors.
Conor S. Boland
wiley   +1 more source

Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots

Advanced Robotics Research, EarlyView.
A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun, Liang Zhang, Jianwen Zeng, Xuefeng Wang   +3 more
wiley   +1 more source

Spatial‐Wavelength Multiplexing Error‐Controlled Photonic Analog Computing System

Advanced Science, EarlyView.
A novel photonic integrated circuit prototype implementing the concept of general‐purpose analog computing and demonstrate its capability in radio frequency applications. The chip features a multichannel architecture and performs fully optical analog computation with frequency‐domain parallel processing. An FPGA‐based error‐correction algorithm aims to
Tao Zhu, Bowen Zhu, Shicheng Zhang, Keren Li, Xianchen Wu, Yazhi Pi, Jie Yan, Daigao Chen, Bingli Guo, Xi Xiao, Lei Wang, Xiaochuan Xu, Xuwei Xue, Shanguo Huang, Zizheng Cao, Shaohua Yu   +15 more
wiley   +1 more source

Theorem on the norm of elements of spinor groups

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
In this article we consider Clifford's algebra over the field of real numbers of finite dimension. We define the operation of Hermitian conjugation for the elements of Clifford's algebra.
D. S. Shirokov
doaj   +3 more sources

$\mathbf {5 \times 5}$ -graded Lie algebras, cubic norm structures and quadrangular algebras

Forum of Mathematics, Sigma
We study simple Lie algebras generated by extremal elements, over arbitrary fields of arbitrary characteristic. We show the following: (1) If the extremal geometry contains lines, then the Lie algebra admits a $5 \times 5$ -grading that can be ...
Tom De Medts, Jeroen Meulewaeter
doaj   +1 more source

A Perspective on Interactive Theorem Provers in Physics

Advanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source