Superintegrable systems represent a fascinating class of models in both classical and quantum mechanics, characterised by the existence of more independent constants of motion than would be expected ...

Algebraic structures, such as groups, rings and fields, provide a rigorous language for expressing symmetry and invariance in numerous mathematical contexts. Their integration with the theory of ...

In this paper we undertake to examine how algebra, its tools and its methods, can be used to formulate the mathematics used in applications. We give particular attention to the mathematics used in ...

Abstract: Nowadays, big data in livestream (BDL) is becoming increasingly prominent in computing systems (CS). Algebraic structures apply algebraic concepts to BDL in CS, aiding in the analysis and ...

Number theory studies the integers and mathematical objects constructed from them. Carl Friedrich Gauss once said, "Mathematics is the queen of the sciences, and number theory is the queen of ...

Abstract: The aim of this paper is to present recent works made in the study of distributed systems and knowledge-based programs and show how these results can contribute to the formalization of the ...

This Paper addresses the limitations of classical machine learning approaches primarily developed for data lying in Euclidean space. Modern machine learning increasingly encounters richly structured ...

Let à denote a smooth compactification of the k-fold fiber product of the universal family A1 → M of elliptic curves with level N structure. The purpose of this paper is to completely describe the ...