We prove that the lowest upper bound for the number of isolated zeros of the Abelian integrals associated to quadratic Hamiltonian vector fields having a center and an invariant straight line after ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Line integrals, often perceived as complex mathematical constructs, are fundamental tools in vector calculus and physics. They extend the concept of integration from simple intervals on the real line ...

Abstract: We consider an approach allowing conversion of surface integrals (over planar surface elements) to line integrals with nonsingular integrand, in evaluating matrix elements of ...