A simple derivation is given of the Einstein-Maxwell field equations from the 2nd ordinary exterior differential of a precursor to the soldering form for n-dimensional differentiable manifolds having ...

The study of the beam envelope radius—a parameter characterizing the transverse size and evolution of a particle beam along its propagation path—is fundamental to the particle accelerators application ...

ABSTRACT: It is now known that homological algebra and double duality have brought a revolution in pure mathematics after 1950, particularly in algebraic geometry with the use of extension modules.

Maxwell’s equations are fundamental tools for electric and magnetic fields, while Maxwell’s relations focus on thermodynamic quantities like temperature, pressure, volume, and entropy. For more on ...

James Clerk Maxwell’s theory of the electromagnetic field is rightly regarded as one of the great achievements of 19th century science, and “Maxwell’s equations” have long held an honored place in ...

Abstract: One of the problems of the finite element and the finite difference method is that as the dimension of the problem increases, the condition number of the system matrix increases as /spl ...

The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both ...

Maxwell’s equations in electromagnetism can be categorized into three dis-tinct groups based on the electromagnetic source when employing quaterni-ons. Each group represents a self-contained system in ...

Let X be a smooth manifold of dimension 1+n endowed with a lorentzian metric g, and let T be the electromagnetic energy tensor associated to a 2-form F. In this paper we characterize this tensor T as ...