Results 51 to 60 of about 350,436 (291)

Geometric Algebra Framework Applied to Symmetrical Balanced Three-Phase Systems for Sinusoidal and Non-Sinusoidal Voltage Supply

Mathematics, 2021
This paper presents a new framework based on geometric algebra (GA) to solve and analyse three-phase balanced electrical circuits under sinusoidal and non-sinusoidal conditions. The proposed approach is an exploratory application of the geometric algebra
Francisco G. Montoya, Raúl Baños, Alfredo Alcayde, Francisco Manuel Arrabal-Campos, Javier Roldán Pérez   +4 more
doaj   +1 more source

Representations of Truncated Current Lie Algebras [PDF]

, 2007
Let g denote a Lie algebra, and let T(g) denote the tensor product of g with a ring of truncated polynomials. The Lie algebra T(g) is called a truncated current Lie algebra.
Wilson, Benjamin J.
core  

Weyl modules for the hyperspecial current algebra

, 2014
We develop the theory of global and local Weyl modules for the hyperspecial maximal parabolic subalgebra of type $A_{2n}^{(2)}$. We prove that the dimension of a local Weyl module depends only on its highest weight, thus establishing a freeness result ...
Chari, Vyjayanthi, Ion, Bogdan, Kus, Deniz   +2 more
core   +1 more source

Symmetries of 2-d Gravity [PDF]

, 1996
Two-dimensional gravity in the light-cone gauge was shown to exhibit an underlying sl(2,R) current algebra. It is the purpose of this note to offer a possible explanation about the origin of this important algebra.
Abdalla, Alekseev, Argyres, Awada, Bershadsky, Cangemi, Cangemi, Cangemi, Chamseddine, Chamseddine, Chamseddine, Chamseddine, Chamseddine, Egorian, Forgacs, Fukuyama, Helayel-Neto, Ioannis Giannakis, Isler, Jackiw, MacDowell, Mohammedi, Pagels, Polyakov, Polyakov, Schaller, Smallagic, Teitelboim, Terao, Verlinde, Witten, Witten, Xu   +32 more
core   +2 more sources

Wirelessly Powered Ingestible Capsule for Optical Stimulation of the Gastrointestinal Tract in Rodents

Advanced Materials Technologies, EarlyView.
An ingestible electronic capsule, ICOPS, enables non‐invasive optical gut stimulation in rodents. ICOPS features modular LEDs and optimized power transfer for robust, in vivo functionality. This cleanroom‐free, 3D‐printed platform offers a compact, scalable solution for optogenetically interfacing enteric neural circuits, promising advances in ...
Mohamed Elsherif, Rawan Badr El‐Din, Zhansaya Makhambetova, Heba Naser, Maylis Boitet, Rahul Singh, Keonghwan Oh, Revathi Sukesan, Sohmyung Ha, Khalil B. Ramadi   +9 more
wiley   +1 more source

Notes on the losses compensation of a three-phase power system with DC offset based on geometric algebras

Nonlinear Analysis
In a three-phase symmetric power system, we propose a transformation that converts the original current to a current with minimal losses while preserving the standard constraints. The selected transformation is realized in suitable geometric algebra and
Johanka Brdečková, Jaroslav Hrdina
doaj   +1 more source

Geometric Algebra Applications in Geospatial Artificial Intelligence and Remote Sensing Image Processing

IEEE Access, 2020
With the increasing demand for multidimensional data processing, Geometric algebra (GA) has attracted more and more attention in the field of geographical information systems.
Uzair Aslam Bhatti, Zhaoyuan Yu, Linwang Yuan, Zeeshan Zeeshan, Saqib Ali Nawaz, Mughair Bhatti, Anum Mehmood, Qurat Ul Ain, Luo Wen   +8 more
doaj   +1 more source

The half-infinite XXZ chain in Onsager's approach

, 2012
The half-infinite XXZ open spin chain with general integrable boundary conditions is considered within the recently developed `Onsager's approach'. Inspired by the finite size case, for any type of integrable boundary conditions it is shown that the ...
Baseilhac, P., Belliard, S.
core   +2 more sources

Experimental Test of the Three‐Setting Clauser–Horne–Shimony–Holt Inequality with Nonmaximally Orbital Angular Momentum Entangled States

Advanced Photonics Research, EarlyView.
Herein, the maximum violation of the three‐setting Clauser–Horne–Shimony–Holt (CHSH) inequality using nonmaximally entangled photons with orbital angular momentum is demonstrated. By mapping the optimization problem to maximizing a triangle's perimeter inscribed in an ellipse, the experiment validates the geometric approach and highlights the ...
Dongkai Zhang, Xiaodong Qiu, Lixiang Chen   +2 more
wiley   +1 more source

On the algebra A_{\hbar,\eta}(osp(2|2)^{(2)}) and free boson representations

, 2000
A two-parameter quantum deformation of the affine Lie super algebra $osp(2|2)^{(2)}$ is introduced and studied in some detail. This algebra is the first example associated with nonsimply-laced and twisted root systems of a quantum current algebra with ...
Drinfeld V G, Feigin B, Feigin B, Hou B-Y, Hou B-Y, Hou B-Y, Jimbo M, Khoroshkin S, Liu Zhao, MacKay N, Niall MacKay   +10 more
core   +1 more source