Representation of the coulomb potential as a superposition of functions of one variable and addition

A. D. Smorodinov<sup>ab

a</sup> Surgut Branch of Scientific Research Institute for System Analysis of the National Research Centre “Kurchatov Institute”, Surgut, Russian Federation
^b Surgut State University, Surgut, Russian Federation

Abstract: We presented a theorem demonstrating that an n-dimensional potential field can be expressed as a superposition of single-variable functions with addition. We formulated a convergence theorem for an artificial neural network applied to the simulation of impurity particle dynamics in an incompressible fluid under a velocity field that constitutes an exact solution of the Euler equation.

Keywords: artificial neural networks, convergence theorem, simulation, Euler equation.