Abstract: In this paper, we propose a Transformer-based framework for approximating solutions to infinite-dimensional optimization problems: calculus of variations problems and optimal control ...

The course offers an introduction to some key topics of mathematics applied in physics. The first major topic is dimensional analysis, scaling and perturbation techniques. Included are regular and ...

Mathematicians are still trying to understand fundamental properties of the Fourier transform, one of their most ubiquitous ...

As a completion of the previously published theory of higher-order types of asymptotic variation, we point out some remarks about different approaches to construct such ...

Equilibrium problems and variational inequalities form a crucial mathematical framework for modelling systems where multiple agents or factors interact under specific constraints. An equilibrium ...

Abstract: Students’ diverse cognitive functions play a pivotal role in shaping their problem-solving behaviors, emphasizing the need to identify and cultivate these abilities to enhance learning ...

This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, ...

Earlier this month the Mathematics Institute at Uppsala University hosted a conference called Categorification in Algebra and Topology, clearly a theme close to our collective heart. As yet there are ...