Results 41 to 50 of about 2,891 (214)

Decomposition of Lie automorphisms of upper triangular matrix algebra over commutative rings

Linear Algebra and its Applications, 2006
Let 2 be an invertible element in the commutative ring \(R\) and let \(T_{n+1}(R)\) be the algebra of \((n+1)\times (n+1)\) upper triangular matrices with entries in \(R\). In the paper under review the authors describe the Lie automorphisms of \(T_{n+1}(R)\), i.e. the \(R\)-module automorphisms \(\varphi\) of \(T_{n+1}(R)\) with the property \(\varphi(
Wang, Xing Tao, You, Hong
openaire   +2 more sources

Ultrathin Li Metal Anodes: Quantitative Design Principles and Manufacturability Across Liquid and Solid‐State Batteries

Advanced Materials, EarlyView.
Ultrathin lithium metal anodes (≤15 µm) offer a promising route to high‐energy‐density batteries due to their high capacity and low potential. This review presents design principles for ultrathin Li, evaluates fabrication strategies, and discusses challenges in liquid and solid‐state cells.
Cheng Wang, Caoyu Wang, Shuixin Xia, Jodie A. Yuwono, Mingnan Li, Yanqiu Lyu, Ruizhi Zhang, Jun Wang, Jianfeng Mao, Zaiping Guo   +9 more
wiley   +1 more source

Jordan left derivations in infinite matrix rings

Demonstratio Mathematica
Let RR be a unital associative ring. Our motivation is to prove that left derivations in column finite matrix rings over RR are equal to zero and demonstrate that a left derivation d:T→Td:{\mathcal{T}}\to {\mathcal{T}} in the infinite upper triangular ...
Zhang Daochang, Ma Leiming, Hu Jianping, Sun Chaochao   +3 more
doaj   +1 more source

Tailoring Phonon‐Driven Responses in α‐MoO3 through Isotopic Enrichment

Advanced Materials, EarlyView.
ABSTRACT The implementation of polaritonic materials into nanoscale devices requires selective tuning of parameters to realize desired spectral or thermal responses. One robust material, α‐MoO3, an orthorhombic crystal boasting three distinct phonon dispersions, provides three polaritonic dispersions of hyperbolic phonon polaritons (HPhPs) across the ...
Thiago S. Arnaud, Ryan W. Spangler, Johnathan D. Georgaras, Jonah B. Haber, Daniel Hirt, Maximilian Obst, Gonzalo Álvarez‐Pérez, Mackey Long III, Felix G. Kaps, Jakob Wetzel, Courtney Ragle, John E. Buchner, Youngji Kim, Aditha S. Senarath, Richarda Niemann, Mingze He, Giulia Carini, Unai Arregui‐Leon, Akash C. Behera, Ramachandra Bangari, Nihar Sahoo, Niels C. Brumby, J. Michael Klopf, Martin Wolf, Lukas M. Eng, Susanne C. Kehr, Thomas G. Folland, Alexander Paarmann, Patrick E. Hopkins, Felipe Jornada, Jon‐Paul Maria, Joshua D. Caldwell   +31 more
wiley   +1 more source

LU Decomposition of δ-Vandermonde Matrices

IEEE Access
A Matrix that have its $i$ -th row formed by consecutive powers (starting with 0 power) of an element $x_{i}$ is called a Vandermonde matrix, this kind of matrix has a lot of applications like: polynomial interpolation, least squares regression, error
Jose Torres-Jimenez, Roberto Blanco-Rocha, Carlos Lara-Alvarez   +2 more
doaj   +1 more source

A Survey of Interlayer Interaction Models for Graphene and Other 2D Materials

Advanced Materials Interfaces, EarlyView.
Van der Waals interactions arising from electronic polarization at atomically close interfaces generate corrugated interlayer energy landscapes that govern normal and tangential tractions. This review presents an overview of quantum, atomistic, analytical, and continuum modeling approaches, highlighting their roles across length scales in capturing ...
Gourav Yadav, Shakti S. Gupta, Roger A. Sauer   +2 more
wiley   +1 more source

Flexible Pressure Sensor With Co‐Optimized Sensitivity and Linearity Based on Gradient Toroidal Microstructures

Advanced Materials Technologies, EarlyView.
A flexible piezoresistive pressure sensor with gradient toroidal CNT/PDMS microstructures is reported. The hierarchical geometry enables sequential electrode contact, achieving a sensitivity of 256.20 kPa−1 and linear response (R2 = 0.99) over 0–1000 kPa.
Rongmei Wang, Ruolin Liu, Ming Lei, Yifan Liu, Fengming Hu, Bing Ji, Chao Peng, Jianyi Luo, Bingpu Zhou   +8 more
wiley   +1 more source

Coninvolutions on Upper Triangular Matrix Group over the Ring of Gaussian Integers and Quaternions integers modulo $p$

, 2020
In this article we give various formulates for compute the number of all coninvolutions over the group of upper triangular matrix with entries into the ring of Gaussian integers module $p$ and the ring of Quaternions integers module $p$, with $p$ an odd prime number.
Gargate, Ivan, Gargate, Michael
openaire   +2 more sources

TacScope: A Miniaturized Vision‐Based Tactile Sensor for Surgical Applications

Advanced Robotics Research, EarlyView.
TacScope is a compact, vision‐based tactile sensor designed for robot‐assisted surgery. By leveraging a curved elastomer surface with pressure‐sensitive particle redistribution, it captures high‐resolution 3D tactile feedback. TacScope enables accurate tumor detection and shape classification beneath soft tissue phantoms, offering a scalable, low‐cost ...
Md Rakibul Islam Prince, Sheeraz Athar, Pokuang Zhou, Yu She   +3 more
wiley   +1 more source

On the relation between one-sided duoness and commutators

Open Mathematics
This article studies the structure of rings RR over which the 2×22\times 2 upper triangular matrix rings with the same diagonal are right duo, denoted by D2(R){D}_{2}\left(R).
Kim Nam Kyun, Lee Yang
doaj   +1 more source