The ham sandwich theorem, demonstrated by mathematicians AH Stone and J. Tukey in 1942, tells us that if we want ...

The most important theorem we learnt in childhood carries the name of a Greek philosopher, but not necessarily the legacy.

A team of physicists claims to have killed the simulation hypothesis with math. According to Science Daily, researchers led by Dr. Mir Faizal at UBC Okanagan used Gödel's incompleteness theorem to ...

Abstract: The existence of surface waves on anisotropic materials was proven under fairly general conditions by Lothe and Barnett in 1976. But, until now, the status of surface waves on piezoelectric ...

Abstract: An optimal power flow (OPF) problem can have one or multiple locally optimal solutions. It can also admit no solution. Few studies have addressed the existence of OPF solutions and derived a ...

ABSTRACT: In this paper, we consider a class of damped vibration systems with super-quadratic potential. We obtain at least two nonzero periodic solutions through the minimization method and Morse ...

With the introduction of mathematics into biological research, patterns arising from biological problems can be effectively studied. The complex interactions involving biological systems and invading ...

Department of Mathematics, Northwest Normal University, Lanzhou, China. The boundary value problems of the third-order ordinary differential equation have many practical application backgrounds. They ...