This paper covers the concept of a conservative vector field, and its application in vector physics and Newtonian mechanics. Conservative vector fields are defined as the gradient of a scalar-valued ...
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 ...
ABSTRACT: We provide necessary conditions in order that the Hamiltonian systems with Hamiltonian ,and one of the following potentials are integrable in the Liouville sense.
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 ...
Description: Multivariate calculus; partial differentiation; implicit function theorems and transformations; line and surface integrals; vector fields; theorems of Gauss, Green, and Stokes. Credit ...
In this video, we explore line integrals in polar coordinates, a key concept in mathematical physics. I’ll guide you through how to set up and evaluate line integrals in polar systems, including ...
Abstract: We introduce new vector diffractive integrals, which can be used for the radio holographic remote sensing of the atmosphere and terrestrial surfaces. These integrals are exact relationships ...
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