Results 51 to 60 of about 426,444 (272)

Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy

Abstract and Applied Analysis, 2014
With the help of the known Lie algebra, a type of new 8-dimensional matrix Lie algebra is constructed in the paper. By using the 8-dimensional matrix Lie algebra, the nonlinear integrable couplings of the Levi hierarchy and the Wadati-Konno-Ichikawa (WKI)
Zhengduo Shan, Hongwei Yang, Baoshu Yin
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

Physical Origin of Temperature Induced Activation Energy Switching in Electrically Conductive Cement

Advanced Science, EarlyView.
The temperature‐induced Arrhenius activation energy switching phenomenon of electrical conduction in electrically conductive cement originates from structural degradation within the biphasic ionic‐electronic conduction architecture and shows percolation‐governed characteristics: pore network opening dominates the low‐percolation regime with downward ...
Jiacheng Zhang, Xinyuan Ke, Andrew Heath, Richard J. Ball, Jiawei Xie, Jinchen Fan, Guisheng Li, Kevin Paine   +7 more
wiley   +1 more source

R-matrix Quantization of the Elliptic Ruijsenaars--Schneider model

, 1997
It is shown that the classical L-operator algebra of the elliptic Ruijsenaars-Schneider model can be realized as a subalgebra of the algebra of functions on the cotangent bundle over the centrally extended current group in two dimensions.
A. A. Belavin, A. Gorsky, B. Enriquez, E. K. Sklyanin, E. K. Sklyanin, F. Falceto, H. W. Braden, I. M. Krichever, J. Avan, J. Avan, J. Avan, J. L. Gervais, K. Hasegawa, K. Hasegawa, M. A. Olshanetsky, M. Jimbo, M. P. Richey, O. Babelon, O. Babelon, R. J. Baxter, S. N. Ruijsenaars, Y. Quano   +21 more
core   +1 more source

Mechanoadaptation via Myosin Cytoplasmic Redistribution Protects Circulating Tumor Cells From Shear‐induced Death During Hematogenous Dissemination

Advanced Science, EarlyView.
This study investigates how CTCs survive varying shear stress during hematogenous metastasis. We uncover a self‐protection mechanism, by which non‐adherent CTCs adapt to high shearing milieu through accumulated cytoplasmic myosin‐mediated disruption of myosin‐actin binding, attenuating force transmission into chromatin to protect CTCs from shear ...
Cunyu Zhang, Qianchun Wang, Keming Li, Guanshuo Hu, Ying Xin, Kai Tang, Bing Hu, Pengyu Du, Renwei Mao, Baohua Ji, Youhua Tan   +10 more
wiley   +1 more source

CRAMER’S RULE IN INTERVAL MIN-PLUS ALGEBRA

Barekeng
A min-plus algebra is a set ,  where  is the set of all real numbers, equipped with the minimum  and addition  operations. The system of linear equations  in min-plus algebra can be solved using Cramer's rule.
Siswanto Siswanto, Ade Safira Septiany
doaj   +1 more source

The BMS4 algebra at spatial infinity

, 2018
We show how a global BMS4 algebra appears as the asymptotic symmetry algebra at spatial infinity. Using linearised theory, we then show that this global BMS4 algebra is the one introduced by Strominger as a symmetry of the S ...
Troessaert, Cédric
core   +1 more source

Distinct Biotypes of Visual Perception in Major Depressive Disorder

Advanced Science, EarlyView.
In a discover dataset (272 acute MDD patients), this work identifies a novel depression biotype characterized by impaired visual motion perception, using machine learning clustering. An independent dataset confirms the robustness of this biotype through cross‐validation and demonstrates its generalizability.
Zhuoran Cai, Xi‐Wen Hu, Yuyang Li, Zheng Lin, Yongjie Li, Yong‐Chun Cai, Tao Xu, Ke Jia, Jin‐Fang Han, Zhong‐Lin Tan, Dezhong Yao, Xue Mei Song, Sugai Liang, Georg Northoff   +13 more
wiley   +1 more source

On Generalized Transitive Matrices

Journal of Applied Mathematics, 2011
Transitivity of generalized fuzzy matrices over a special type of semiring is considered. The semiring is called incline algebra which generalizes Boolean algebra, fuzzy algebra, and distributive lattice.
Jing Jiang, Lan Shu, Xinan Tian
doaj   +1 more source

On a matrix álgebra without matrices

Selecciones Matemáticas, 2019
We enlarge a previus introduction to the two-dimensional geometric algebra published in Volume 05(02) of SELECCIONES MATEMÁTICAS. It is a friendly introduction of a theme of common interest for university proffessors and students of physics and ...
Edgar Vera Saravia
doaj   +1 more source