Results 101 to 110 of about 409,693 (287)

Spin one matter fields

European Physical Journal C: Particles and Fields
It is shown how spin one vector matter fields can be coupled to a Yang–Mills theory. Such matter fields are defined as belonging to a representation R of this Yang–Mills gauge algebra $$\mathfrak {g}$$ g .
Daniel O. R. Azevedo, Oswaldo M. Del Cima, Thadeu D. S. Dias, Daniel H. T. Franco, Emílio D. Pereira, Olivier Piguet   +5 more
doaj   +1 more source

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

so(3) ⊂ su(3) revisited

Acta Polytechnica
This paper reproduces the result of Elliot, namely that the irreducible finite dimensional representation of the Lie algebra su(3) of highest weight (m, n) is decomposed according to the embedding so(3) ⊂ su(3). First, a realisation (a representation in
Čestmír Burdík, Severin Pošta, Erik Rapp   +2 more
doaj   +1 more source

Certain representation algebras [PDF]

Journal of the Australian Mathematical Society, 1965
Let Λ be the set of inequivalent representations of a finite group over a field . Λ is made the basis of an algebra over the complex numbers , called the representation algebra, in which multiplication corresponds to the tensor product of representations and addition to direct sum.
openaire   +2 more sources

Representation theory of solitons

Journal of High Energy Physics
Solitons in two-dimensional quantum field theory exhibit patterns of degeneracies and associated selection rules on scattering amplitudes. We develop a representation theory that captures these intriguing features of solitons.
Clay Córdova, Nicholas Holfester, Kantaro Ohmori   +2 more
doaj   +1 more source

Overcoming the Nyquist Limit in Molecular Hyperspectral Imaging by Reinforcement Learning

Advanced Intelligent Discovery, EarlyView.
Explorative spectral acquisition guide automatically selects informative spectral bands to optimize downstream tasks, outperforming full‐spectrum acquisition. The selected hyperspectral data are used for tasks such as unmixing and segmentation. BandOptiNet encodes selection states and outputs optimal bands to guide spectral acquisition. Recent advances
Xiaobin Tang, Yongqing Zhang, Xinyu Deng, Hyeon Jeong Lee, Delong Zhang   +4 more
wiley   +1 more source

Deep Learning Approaches for Classifying Crack States With Overload and Predicting Fatigue Parameters in a Titanium Alloy

Advanced Intelligent Systems, EarlyView.
This study proposes a deep learning approach to evaluate the fatigue crack behavior in metals under overload conditions. Using digital image correlation to capture the strain near crack tips, convolutional neural networks classify crack states as normal, overload, or recovery, and accurately predict fatigue parameters.
Seon Du Choi, Suman Timilsina, Youn Woo Shin, Yong Nam Kwon, Kee‐Sun Sohn, Ji Sik Kim   +5 more
wiley   +1 more source

Operator representation of Gevrey ultradistributions algebra with supports on positive $n$-dimensional angle

Karpatsʹkì Matematičnì Publìkacìï, 2013
The representation of convolution Gevrey algebra of ultradistributions as commutant of the $n$-parametric strongly continuous semigroup of shifts in algebra of linear and continuous mappings over the space of ultradifferentiable Gevrey functions with ...
A. V. Solomko
doaj   +1 more source

On 2-representation infinite algebras arising from dimer models

, 2019
The Jacobian algebra arising from a consistent dimer model is a bimodule $3$-Calabi-Yau algebra, and its center is a $3$-dimensional Gorenstein toric singularity. A perfect matching of a dimer model gives the degree making the Jacobian algebra $\mathbb{Z}
Nakajima, Yusuke
core  

Robotic Arm‐Assisted Conformal 3D Printing of Displays for Structural Electronics

Advanced Intelligent Systems, EarlyView.
This study presents a robotics‐enabled platform combining 3D scanning and a 6‐DOF robotic arm for conformal printing on complex non‐planar structures. By maintaining nozzle perpendicularity, the system enables high‐fidelity direct ink writing on steep sidewalls, spherical surfaces, successfully demonstrating a fully printed 7‐segment dynamic display ...
Chanbin Yoo, Jongcheon Bae, Seonghyeon Kim, Jun Chang Yang, Seung Kwon Seol, Jaeyeon Pyo   +5 more
wiley   +1 more source