These equations are static in nature, and thus may be trained with smaller data compared to dynamic equations. We know that deep neural networks (DNNs) are universal approximators of any continuous function, thus, DNNs may be considered more general approximators of these empirical formulae. One ...
Kraußhar, R.: Fock spaces, Landau operators and the time-harmo- nic Maxwell equations, Journal of Physics A: Mathematical and Theoretical 44 (2011)... Denis,Constales,Nelson,... - 《Journal of Physics A Mathematical & Theoretical》 被引量: 20发表: 2011年 Few-particle vortex cluster eq...
This paper presents an approach that accepts from the student a system of equations describing the physics of the problem and checks to see if it is correct. When it is not, the student's equation set is analyzed vis-a-vis one or more correct sets of equations, known physics concepts, ...
This paper describes methods to prove equational clauses (disjunctions of equations and inequations) in the initial algebra of an equational theory presentation. First we show that the general problem L Fribourg - 《Lecture Notes in Computer Ence》 被引量: 43发表: 1984年 Towards an Integrated ...
Harnessing data to discover the underlying governing laws or equations that describe the behavior of complex physical systems can significantly advance our modeling, simulation and understanding of such systems in various science and engineering discipli
Ordinary and partial differential equations (ODEs/PDEs) play a paramount role in analyzing and simulating complex dynamic processes across all corners of science and engineering. In recent years machine learning tools are aspiring to introduce new effective ways of simulating PDEs, however existing appro...
These demonstrations suggest the potential of KoopmanLab to be a fundamental tool in diverse physics studies related to equations or dynamic systems. PDF Paper record Table 1: The parameter numbers of all implemented models in Figs. 2(b-c) counted by the tool provided by Ref. [pathak2022four...
This volume focuses on differential equations such as for hydrodynamics, solitary waves, relativistic field theory, stochastic analysis, as well as their i... L Streit 被引量: 0发表: 1985年 Mathematics and physics: lectures on recent results. Collection of lectures presented at the Center for In...
equations,this paper deduced eleven basic laws related to electromagnetic theory.These laws are Coulomb's law,Faraday's law of electromagnetic induction,law of Biot-Savart-Laplace,Ampare theorem and so on.It indicated that the Maxwell equations are the foundation stone of physics.Therefore,Maxwell ...
The generalized chiral symmetry yields three equations $${\varSigma_3} {H_{\mathrm{K}}}{\varSigma_3^{ - 1}} {P_i} +{\varSigma_3^2} {H_{\mathrm{K}}}{\varSigma_3^{ - 2}} {P_i} = - H_{\mathrm{K}}P_i, i \in \left\{ {\mathrm{A,B,C}} \right\},$$ (3) ...