Orthogonal polynomials and recurrence equations, operator equations and factorization

This article surveys the classical orthogonal polynomial systems of the Hahn class, which are solutions of second-order differential, difference or q-difference equations. Orthogonal families satisfy three-term recurrence equations. Example applications of an algorithm to determine whether a three-term recurrence equation has solutions in the Hahn class - implemented in the computer algebra system Maple - are given. Modifications of these families, in particular associated orthogonal systems, satisfy fourth-order operator equations. A factorization of these equations leads to a solution basis.

Contribution of the exact Breit operator plus the electron state-dependent screening to the multiplet and fine structure of muon-electron atoms

We investigate for very general cases the multiplet and fine structure splitting of muonelectron atoms arising from the coupling of the electron and muon angular momenta, including the effect of the Breit operator plus the electron state-dependent screening. Although many conditions have to be fulfilled simultaneously to observe these effeets, it should be possible to measure them in the 6h- 5g muonic transition in the Sn region.

Elimination in Operator Algebras

A large class of special functions are solutions of systems of linear difference and differential equations with polynomial coefficients. For a given function, these equations considered as operator polynomials generate a left ideal in a noncommutative algebra called Ore algebra. This ideal with finitely many conditions characterizes the function uniquely so that Gröbner basis techniques can be applied. Many problems related to special functions which can be described by such ideals can be solved by performing elimination of appropriate noncommutative variables in these ideals. In this work, we mainly achieve the following: 1. We give an overview of the theoretical algebraic background as well as the algorithmic aspects of different methods using noncommutative Gröbner elimination techniques in Ore algebras in order to solve problems related to special functions. 2. We describe in detail algorithms which are based on Gröbner elimination techniques and perform the creative telescoping method for sums and integrals of special functions. 3. We investigate and compare these algorithms by illustrative examples which are performed by the computer algebra system Maple. This investigation has the objective to test how far noncommutative Gröbner elimination techniques may be efficiently applied to perform creative telescoping.

An Application of Augmented Reality (AR) in the Teaching of an Arc Welding Robot

Augmented Reality (AR) is an emerging technology that utilizes computer vision methods to overlay virtual objects onto the real world scene so as to make them appear to co-exist with the real objects. Its main objective is to enhance the user’s interaction with the real world by providing the right information needed to perform a certain task. Applications of this technology in manufacturing include maintenance, assembly and telerobotics. In this paper, we explore the potential of teaching a robot to perform an arc welding task in an AR environment. We present the motivation, features of a system using the popular ARToolkit package, and a discussion on the issues and implications of our research.

Estimation of zero-sequence impedance of undergrounds cables for single-phase fault location in distribution systems with electric arc

This paper focus on the problem of locating single-phase faults in mixed distribution electric systems, with overhead lines and underground cables, using voltage and current measurements at the sending-end and sequence model of the network. Since calculating series impedance for underground cables is not as simple as in the case of overhead lines, the paper proposes a methodology to obtain an estimation of zero-sequence impedance of underground cables starting from previous single-faults occurred in the system, in which an electric arc occurred at the fault location. For this reason, the signal is previously pretreated to eliminate its peaks voltage and the analysis can be done working with a signal as close as a sinus wave as possible

Arc Length

Exam questions and solutions in LaTex

Arc Length pdf

Exam questions and solutions in PDF

El enfoque diferencial de género en la implementación de políticas públicas en procesos de desmovilización y reintegración. Estudio de caso: el rol de la madre cabeza de hogar en la implementación de la política de reintegración del grupo insurgente ARC-EP (2002-2012)”

El presente trabajo tiene como objetivo analizar la política pública de reintegración para grupos armados insurgentes, desde un enfoque diferencial de género. En este enfoque la investigación destaca el rol de madre cabeza de familia excombatiente.

La escala de autodeterminación de ARC : presentación de un estudio piloto.

Resumen tomado de la revista

Aprendizaje reflexivo y colaborativo (ARC) y TAC en la formación de personas adultas : hacia la formación de un alumnado competente con ayuda de las TAC.

Resumen tomado de la publicación

El arc??n literario de dos generaciones

El presente documento recoge los textos creados, tanto por ni??osy ni??as como por mayores, para el Taller Intergeneracional Art??stico-Literario organizado por la Concejal??a de la Infancia del Ayuntamiento de Coslada (Madrid). La experiencia tuvo como base el inter??s de que esas generaciones dejen de ser independientes entre si y constituyan una parte activa de la vida social. La cooperaci??n y la creatividad fueron los soportes sobre los que se sustent?? esta idea.

'Arc Iris'.

Programa emitido el 28 de septiembre de 1994

La Fundació l'Arc Música i la nova Escola Municipal de Can Ponsic. 'La Fundació l'Arc Música y la nueva Escola Municipal de Can Ponsic'.

Resumen basado en el del autor

L'arc : quadern informatiu de l'Institut de Ciències de l'Educació de la Universitat de les Illes Balears

Publicación cerrada : 1996-2002.