Atomic solitons are new kind of topological solitons resembling solitary particle-wave
behaviour, with the name relevant to Rvachevs' atomic functions. Atomic String (AString) is …

This paper explores how the theory of atomic functions (AF) evolving since 1970th and
applicable in many branches of mathematics and physics can be expanded to data science …

A novel model of spacetime and fields atomization based on Atomic Series over finite Atomic
AString Functions is offered. Formulated Atomization Theorems allow representing …

Estimation of the probability density function from the statistical power moments presents a
challenging nonlinear numerical problem posed by unbalanced nonlinearities, numerical …

Formulated Atomization Theorems extend the theory of Atomic AString Functions evolving
since the 1970s allowing representation of polynomials, complex analytic functions, and …

Following A. Einstein's aspirations for an atomic theory, a novel theory of spacetime
quantization/atomization based on finite Atomic AString Functions evolving since the 1970s …

The purpose of this paper is to present the class of atomic basis functions (ABFs) which are
of exponential type and are denoted by EFupn (x, ω). While ABFs of the algebraic type are …

A novel theory of spacetime atomization/quantization based on Atomic AString Functions is
described. Using Atomic Series and Atomization Theorems allows representing …

The paper considers various methods of digital signal processing. The article contains
several sections that consistently reveal the stated task. Each section contains a description …

AStrings как обобщения атомарных функций могут быть использованы для
моделирования плоского и искривленного пространства-времени, состоящего из …