How to eliminate corruption in Africa?

Corruption is generally defined as the misuse of power for personal gain. The initial aim of this paper was to find a way to eliminate corruption. Even though corruption is a global problem, the research of this project is focused on African nations, particularly on the country of Angola. The review of the literature consists of an analysis of the main causes and effects of corruption and of how they have a correlation to poverty and underdevelopment. I found that the specific case of Angola fits perfectly into all of the causes and effects of corruption that are mentioned in the literature review. In an attempt to find solutions for the problem of corruption, a collection of interviews were performed. Through a combination of the research, the interviews, and the real-life experience of living in Angola, I found that corruption cannot be eradicated within the economical and political system that we currently live in

On the functions generated by the general purpose analog computer

PreprintWe consider the General Purpose Analog Computer (GPAC), introduced by Claude Shannon in 1941 as a mathematical model of Differential Analysers, that is to say as a model of continuous-time analog (mechanical, and later one electronic) machines of that time. The GPAC generates as output univariate functions (i.e. functions f:R→R). In this paper we extend this model by: (i) allowing multivariate functions (i.e. functions f:Rn→Rm); (ii) introducing a notion of amount of resources (space) needed to generate a function, which allows the stratification of GPAC generable functions into proper subclasses. We also prove that a wide class of (continuous and discontinuous) functions can be uniformly approximated over their full domain. We prove a few stability properties of this model, mostly stability by arithmetic operations, composition and ODE solving, taking into account the amount of resources needed to perform each operation. We establish that generable functions are always analytic but that they can nonetheless (uniformly) approximate a wide range of nonanalytic functions. Our model and results extend some of the results from [19] to the multidimensional case, allow one to define classes of functions generated by GPACs which take into account bounded resources, and also strengthen the approximation result from [19] over a compact domain to a uniform approximation result over unbounded domains.info:eu-repo/semantics/acceptedVersio

3D-2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization

A 3D-2D dimension reduction for a nonlinear optimal design problem with a perimeter penalization is performed in the realm of $\Gamma$-convergence, providing an integral representation for the limit functional.Comment: to appear on Comptes Rendus Mathematiqu