Results 111 to 120 of about 3,220,446 (374)
Normalisation of a Poisson algebra is Poisson [PDF]
arXiv, 2003 We prove that the integral closure of a Poisson algebra $A$ over a field of characteristic 0 is again a Poisson algebra.
arxiv
Spintronic Memtransistor Leaky Integrate and Fire Neuron for Spiking Neural Networks
Advanced Electronic Materials, EarlyView.Spintronic memtransistor neurons based on domain walls enable energy‐efficient, field‐gated, and current‐controlled LIF functionality for neuromorphic computing, as demonstrated. When integrated into spiking neural network architectures, these devices achieve >96% pattern recognition accuracy, demonstrating high performance, scalability, and mem ...
Aijaz H. Lone +7 more
wiley +1 more source
Interaction of non-Abelian tensor gauge fields
Physics Letters B, 2018 The non-Abelian tensor gauge fields take value in extended Poincaré algebra. In order to define the invariant Lagrangian we introduce a vector variable in two alternative ways: through the transversal representation of the extended Poincaré algebra and ...
George Savvidy
doaj +1 more source
Construction of Nilpotent Jordan Algebras Over any Arbitrary Fields [PDF]
arXiv, 2013 We give a computional method to construct and classify nilpotent Jordan algebras over any arbitrary fields by the second cohomolgy of nilpotent Jordan algebras of low dimension "analogue of Skjelbred-Sund method", we see that every nilpotent Jordan algebras can be constructed by the second cohomolgy of nilpotent Jordan algebras of low dimension. We use
arxiv
Advanced Intelligent Discovery, EarlyView.A crystal graph neural network based on the attention mechanism is proposed in this work. The model dynamically weights features through the attention mechanism, enabling precise prediction of properties of material from structural features. Here, taking Janus III–VI van der Waals heterostructures as a representative case, the properties have been ...
Yudong Shi +7 more
wiley +1 more source
Non-finitary Generalizations of Nil-triangular Subalgebras of Chevalley Algebras
Известия Иркутского государственного университета: Серия "Математика", 2019 Let $N\Phi(K)$ be a niltriangular subalgebra of Chevalley algebra over a field or ring $K$ associated with root system $\Phi$ of classical type. For type $A_{n-1}$ it is associated to algebra $NT(n,K)$ of (lower) nil-triangular $n \times n$- matrices ...
J. V. Bekker +2 more
doaj +1 more source
Orders of Quaternion Algebras with Involution [PDF]
arXiv, 2016 We introduce the notion of maximal orders over quaternion algebras with orthogonal involution and give a classification over local fields, and a partial classification over algebraic number fields.
arxiv
A Shared Control Method of Multiobjective Motion Fusion for Surgical Robot
Advanced Intelligent Systems, EarlyView.This paper proposes an innovative shared control method that can handle multiple objectives task by integrating various types of controllers. It not only takes into account the priorities among the objectives but also allows for the flexible addition or removal of objective controllers.
Xilin Xiao +7 more
wiley +1 more source
Finiteness of Hermitian Levels of Some Algebras
Boletim da Sociedade Paranaense de Matemática, 2011 We characterize the hermitian levels of quaternion and octonion algebrasand of an 8-dimensional algebra D over the ground field F, constructed using a weak version of the Cayley-Dickson double process.It is shown that all values of the hermitian levels ...
Clotilzio Moreira dos Santos
doaj
On minimal non-elementary Lie algebras [PDF]
arXiv, 2013 The class of minimal non-elementary Lie algebras over a field F are studied. These are classified when F is algebraically closed and of characteristic different from 2,3. The solvable algebras in this class are also characterised over any perfect field.
arxiv