Results 141 to 150 of about 124,917 (284)

Signed Projective Cubes, a Homomorphism Point of View

Journal of Graph Theory, EarlyView.
ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen, Reza Naserasr, Alessandra Sarti   +2 more
wiley   +1 more source

Rigorous Electromagnetic Quasinormal‐Mode Method Made Easy for Users

Laser &Photonics Reviews, EarlyView.
We present a method that combines numerical techniques with accurate approximations to enable simple and ultrafast computations of the scattered field based on quasinormal modes expansions. The method is made available in the open‐source package MANlite implemented within COMSOL.
Tong Wu, Philippe Lalanne
wiley   +1 more source

Rota-Baxter operators and post-Lie algebra structures on semisimple Lie algebras. [PDF]

Commun Algebra, 2019
Burde D, Gubarev V.
europepmc   +1 more source

Can Yang-Baxter imply Lie algebra?

Physics Letters B
Quantum knot invariants (like colored HOMFLY-PT or Kauffman polynomials) are a distinguished class of non-perturbative topological invariants. Any known way to construct them (via Chern-Simons theory or quantum R-matrix) starts with a finite simple Lie ...
D. Khudoteplov, A. Morozov, A. Sleptsov
doaj   +1 more source

Static and Dynamic Analysis of Porous Gas Bearings Lubricated With Air, Refrigerant R‐134a, Helium and Hydrogen

Lubrication Science, EarlyView.
ABSTRACT Porous gas bearings (PGBs) enable high‐speed, oil‐free operation in modern rotating machinery. This study develops a coupled thermo‐hydrodynamic (THD) model for a cylindrical porous gas bearing lubricated with four working fluids—air, R‐134a, helium and hydrogen.
S. Bechiri, B. Bouchehit, B. Bou‐Saïd
wiley   +1 more source

Higher-Dimensional Automorphic Lie Algebras. [PDF]

Found Comut Math, 2017
Knibbeler V, Lombardo S, Sanders JA.
europepmc   +1 more source

Characterizing Lie Algebra Structure via the Commutativity Degree

Journal of Mathematics
The aim of this paper is to determine the possible values of the commutativity degree of Lie algebras. We define the asymptotic commutativity degree of Lie algebras and obtain the asymptotic commutativity degree for some of them.
Afsaneh Shamsaki, Ahmad Erfanian, Mohsen Parvizi   +2 more
doaj   +1 more source

Gait Adaptability Training Improves Gait in Spinocerebellar Ataxia Patients

Movement Disorders Clinical Practice, EarlyView.
Abstract Background Spinocerebellar ataxia (SCA) is a rare, genetic neurodegenerative movement disorder primarily affecting the cerebellum. So far, there is no available cure for SCA. However, evidence suggests that neurorehabilitation can alleviate symptoms.
Colette J.M. Reniers, Martin E. Johansson, Karen Huisman‐Venrooij, Ivan Toni, Vivian Weerdesteyn, Bart P.C. van de Warrenburg   +5 more
wiley   +1 more source

Deep Learning Unlocks Behavioral Prediction and Neurobehavioral Decoding

Med Research, EarlyView.
This review evaluates deep learning frameworks that surmount conventional limitations through high‐dimensional nonlinear modeling, spatiotemporal dependency capture, and multimodal information integration. Focusing on biological behavior forecasting and neural mechanism decoding, we delineate cutting‐edge applications, including real‐time action ...
Tianzhe Han, Yunhua Jia, Xiaomin Hu, Shuyue Wang, Ruiwen Wang, Zhijing Zhu   +5 more
wiley   +1 more source

Ideals and primitive elements of some relatively free Lie algebras. [PDF]

Springerplus, 2016
Ekici N, Esmerligil Z, Ersalan D.
europepmc   +1 more source