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After a short biographical sketch, the author describes some aspects of Alexander Grothendieck's contributions to functional analysis. He focuses on the following topics: tensor products, the approximation property, nuclear and integral operator[...]texto impreso
In this work we give pairs of generators (x, y) for the alternating groups An, 5 ? n ? 19, such that they determine the minimal genus of a Riemann surface on which An acts as the automorphism group. Using these results we prove that A15 is the u[...]texto impreso
We consider a linear dissipative wave equation in IRN with periodic coefficients. By means of Bloch wave decomposition, we obtain an expansion of solutions as t ! 1 and conclude that, in a first approximation, the solutions behave as the homogen[...]texto impreso
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Let X be a curve of genus g. A coherent system on X consists of a pair (E; V ), where E is an algebraic vector bundle over X of rank n and degree d and V is a subspace of dimension k of the space of sections of E. The stability of the coherent s[...]texto impreso
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We consider composition and division algebras over the real numbers: We note two roles for the group G2: as automorphism group of the octonions and as the isotropy group of a generic 3-form in 7 dimensions. We show why they are equivalent, by me[...]texto impreso
A fast method to compute a T-indistinguishability from a reflexive and symmetric fuzzy relation is given for any left-continuous t-norm, taking O(n(3)) time complexity, where n is the number of elements in the universe. It is proved that the com[...]texto impreso
In the following the reader will find a short description of some issues related to the modeling, analysis and simulation of large populations of living systems, a research field which is currently deserving a considerable interest, and that has[...]texto impreso
Recent large-scale peculiar velocity surveys suggest that large matter volumes could be moving with appreciable velocity with respect to the CMB rest frame. If confirmed, such results could conflict with the Cosmological Principle according to w[...]texto impreso
Rodríguez, Juan Tinguaro ; Vitoriano, Begoña ; Montero, Javier ; Omaña, Antonio | World Scientific | 2008In this paper we present a decision support system for primary action of international organizations devoted to natural disaster relief In particular, we pretend to build up an expert system that taking into account past experiences will help de[...]texto impreso
A large number of accuracy measures for image classification are actually available in the literature for cris classification. Overall accuracy, producer accuracy, user accuracy, kappa index and tau value are some examples. But in contrast to th[...]texto impreso
Frequently, the set of classes of a supervised classification problem presents an structure related to the specific features of each application context. However, standard classification models does not use to consider such an structure in their[...]texto impreso
In the book by U. Hornung, Chapter 6, the author proposes an homogenization strategy for the effective behavior of some chemical processes involving adsorption and reactions arising in porous media. Rigorous proofs of the convergence results are[...]texto impreso
In this paper, we show that any smooth subvariety of codimension two in G(1,4) (the Grassmannian of lines of P-4) of degree at most 25 is subcanonical. Analogously, we prove that smooth subvarieties of codimension two in G(1,4) that are not of g[...]
