This repository contains code and plots related to the exploration of different representations of the Dirac delta function using convergence factors. The primary objective is to illustrate the ...

Abstract: The Dirac delta function $\delta$(x)is one of the most important mathematical functions that is used successfully in physics and mathematics. Several authors have used this function to ...

Instituto de Ingeniería, Instituto de Investigaciones en Materiales,. Universidad Nacional Autónoma de México, México D.F., México. The purpose of this paper is to present a more rigorous derivation ...

The formalism of the Dirac delta function developed in a previous article allows us to understand the phenomenon of aliasing in a simple and comprehensive way. In a previous article, we established ...

It is shown that theories already presented as rigorous mathematical formalizations of widespread manipulations of Dirac's delta function are all unsatisfactory, and a new alternative is proposed.