Examinando por Materia "SUCESIONES (MATEMÁTICAS)"
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Ítem Ideal minimal de operadores con parámetros, un número real y una función de Orlicz(Universidad EAFIT, 2009) Monsalve Pérez, Hernán Argenis; Vahos Sarrias, José Rodolfo; Loaiza Ossa, Gabriel IgnacioÍtem Limits of quotients of bivariate real analytic functions(ELSEVIER, 2013-03) Molina, Sergio; Cadavid Moreno, Carlos Alberto; Vélez Caicedo, Juan Diego; Universidad EAFIT. Escuela de Ciencias y Humanidades. Grupo de Investigación Análisis Funcional y Aplicaciones; Carlos Cadavid M.(ccadavid@eafit.edu.co); Análisis Funcional y AplicacionesNecessary and sufficient conditions for the existence of limits of the form lim(x,y)→(a,b) f (x, y)/g(x, y) are given, under the hypothesis that f and g are real analytic functions near the point (a, b), and g has an isolated zero at (a, b) -- The given criterion uses a constructive version of Hensel’s Lemma which could be implemented in a computer algebra system in the case where f and g are polynomials with rational coefficients, or more generally, with coefficients in a real finite extension of the rationals -- A high level description of an algorithm for determining the existence of the limit as well as its computation is provided