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74 papers · 1 filter
On quasisymmetric mappings in semimetric spaces
Evgeniy Petrov, Ruslan Salimov
The class of quasisymmetric mappings on the real axis was first introduced by A. Beurling and L. V. Ahlfors in 1956. In 1980 P. Tukia and J. Väisälä considered these mappings betwe…
Solvability of linear boundary-value problems for ordinary differential systems in the space
Vitalii Soldatov
We study linear boundary-value problems for systems of first-order ordinary differential equations with the most general boundary conditions in the normed spaces of continuously di…
A note on generalized four-point inequality
Evgeniy A. Petrov, Ruslan R. Salimov
In 2017 M. Bessenyei and Z. Páles introduced a definition of a triangle function which generates a concept of a generalized triangle inequality in semimetric spaces. Inspired by th…
Stamps and Mathematics
Nataliya M. Ivanova
This study examines the potential of using math-themed postage stamps in mathematics lessons as a tool to engage students and integrate the subject with history, art, and culture.…
Strongly interacting matter in extreme magnetic fields
Prabal Adhikari, Martin Ammon, Sidney S. Avancini +58
Magnetic fields are ubiquitous across different physical systems of current interest; from the early Universe, compact astrophysical objects and heavy-ion collisions to condensed m…
Principal bundles in the category of -manifolds
Andrew James Bruce, Janusz Grabowski
We introduce and examine the notion of principal -bundles, i.e., principal bundles in the category of -manifolds. The latter are higher graded exten…