Results 101 to 110 of about 398,973 (330)

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   +3 more sources

Reprogrammable, In‐Materia Matrix‐Vector Multiplication with Floppy Modes

Advanced Intelligent Systems, EarlyView.
This article describes a metamaterial that mechanically computes matrix‐vector multiplications, one of the fundamental operations in artificial intelligence models. The matrix multiplication is encoded in floppy modes, near‐zero force deformations of soft matter systems.
Theophile Louvet, Parisa Omidvar, Marc Serra‐Garcia   +2 more
wiley   +1 more source

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

Multiple Unmanned Aerial Vehicle Formation Control through Deep Reinforcement Learning with Offline Sample Correction

Advanced Intelligent Systems, EarlyView.
Herein, a deep reinforcement learning‐based multi‐UAV formation control approach is proposed. By optimizing the utilization of historical data through correcting of offline samples, the past experience is better leveraged and learning performance is improved.
Zhongkai Chen, Han Zhou, Chao Yan, Yihao Sun, Xiaojia Xiang   +4 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

Robotic Needle Steering for Percutaneous Interventions: Sensing, Modeling, and Control

Advanced Intelligent Systems, EarlyView.
This review examines recent advances in robotic needle steering for percutaneous interventions, highlighting closed‐loop sensing, physics‐informed tissue‐needle interaction modeling, and real‐time trajectory planning and control. It synthesizes innovations in deep learning, fiber‐optic feedback, and adaptive control strategies, and outlines emerging ...
Fangjiao Zhao, Ruixue Xu, Wujun Zhao, Xi‐Ming Sun, Yu Sun, Changsheng Dai   +5 more
wiley   +1 more source

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

Protective Effects of Socioeconomic Status and Lifestyle on Amyloid‐ and White Matter Hyperintensity‐Related Longitudinal Brain Atrophy and Cognitive Decline

Annals of Neurology, EarlyView.
Objective Socioeconomic status (SES) and lifestyle activities (LA) are strongly related, and both are associated with dementia risk. We investigated the influence of SES and LA on brain atrophy and cognitive decline considering amyloid‐beta (Aβ) positron emission tomography and white matter hyperintensity (WMH) load.
Dario Bachmann, Maha Wybitul, Sandro Studer, Antje Saake, Katrin Rauen, Andreas Buchmann, Bettina von Rickenbach, Esmeralda Gruber, Roger M. Nitsch, Christoph Hock, Anton Gietl, Valerie Treyer   +11 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

Simplex algebras and their representation [PDF]

Glasgow Mathematical Journal, 1973
This paper establishes a relationship (Theorem 4.1) between the approaches of A. C. Thompson [8, 9] and E. G. Effros [2] to the representation of simplex algebras, that is, real unital Banach algebras that are simplex spaces with the unit for order identity.
openaire   +3 more sources