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espanolSe estima una cota superior para el numero de puntos criticos de la solucion de un problema semilineal eliptico con condicion de Dirichlet nula en el borde de un dominio planar. El resultado se obtiene en dominios simetricos con respecto a una recta y convexos en la direccion ortogonal a la misma. MSC2010: 35J25, 35J91, 74K15. EnglishIn this paper we estimate an upper bound for the number of critical points of the solution to a semilinear elliptic problem with vanishing Dirichlet condition on a bounded planar domain. The result is obtained assuming that the domain is symmetric with respect to a line and convex in the orthogonal direction to the line of symmetry.

espanolEn este articulo estudiamos algunas propiedades asintoticas de la sucesion de polinomios monicos ortogonales con respecto a la medida dµ = x 2+a x2+b e −x 2 dx, donde a, b > 0 y a 6= b. En este sentido, estudiamos la asintotica relativa exterior con respecto a los polinomios clasicos de Hermite, ademas son analizadas formulas tipo Mehler-Heine. EnglishIn this paper we study some asymptotic properties of the sequence of monic polynomials orthogonal with respect to the measure dµ = x 2+a x2+b e −x 2 dx, where a, b > 0 and a 6= b. In this way we study the outer relative asymptotic with respect to the classical Hermite polynomials; besides, Mehler-Heine type formulas are analyzed.

A set of positive integers A is called a g-Golomb ruler if the difference between two distinct elements of A is repeated at most g times. This definition is a generalization of the Golomb ruler (g = 1). In this paper we construct g-Golomb ruler from Golomb ruler and we prove two theorems about extremal functions associated with this sets. Keywords: Sidon sets, B2 sets, Golomb ruler. To cite this article: Y. Caicedo, C.A. Martos, C.A. Trujillo, g-Golomb, Rev. Integr. Temas Mat. 33 (2015), No. 2, 161–172.

A remarkable achievement of algorithmic topology is A.A.Markov’s theorem on the unsolvability of the homeomorphism problem for manifolds. Boone, Haken and Poenaru extended Markov’s original proof to the case of closed smooth manifolds. One of their initial difficulties was the introduction of a natural finite representation of a differentiable and/or combinatorial manifold. In this paper we extend this representation to compact smooth manifolds and propose an extension to smooth manifolds. Keywords : Computability and recursion theory, algorithmic topology, smooth manifolds. To cite this article: C.M Parra, J. Suarez Ramirez, Representacion finita de variedades compactas, Rev. Integr. Temas Mat. 33 (2015), No. 2, 97–105.

This paper shows some deficiences of the Spanish Standard Method UNE 7245 and the corresponding deficiences of the Spanish Concrete Code EH-SO adopting it. According to the actual Method, erroneous low values may result in determining sulphides and in general sulphur compounds in cocrete aggregates. Attention is drawn to the convenience of revising the limit of 1.2 per cent for the admissible maximum value of such compounds, particularly if they are exclusively formed by pyrites., Se ponen de relieve en este trabajo ciertas definiciones de la Norma UNE 7245 y las correspondientes de la Instrucción EH-80 que la adopta, en cuanto que la citada Norma puede dar valores erróneos por defecto en la determinación de sulfures y, en general, de compuestos de azufre en áridos para hormigón. Se llama la atención sobre la conveniencia de revisar el límite de 1,2 por ciento para el contenido máximo tolerable de dichos compuestos, particularmente si están constituidos en exclusiva por piritas.