Albéniz, Malats, Iberia and the ultimate "españolismo"

Iberia, a collection of twelve piano pieces arranged in four books of three pieces each, is by far Isaac Albéniz’s most famous composition. Responding to a letter from Albéniz to the pianist Joaquín Malats, in which the composer confessed that with the third book of Iberia he carried the “españolismo [Spanishness] to its ultimate extreme,” I will argue that there are subtle stylistic differences between books one and two on the one hand, and books three and four on the other. As Paul Mast has observed, Albéniz’s use of the whole-tone scale decreased in books three and four, “after their ‘French’ aspect had undoubtedly been pointed out to the composer” (Mast, 1974). I will not only unveil Albéniz’s specific use of the whole-tone scale, but also point out an alternative compositional strategy that fulfills the same function in books three and four. Moreover, this renewed “Spanishness” entailed not only an emphasis on folkloristic elements on the foreground level, but also a more sophisticated use of the Phrygian (flamenco) mode in Albéniz’s recapitulations on the dominant. In other words, Albéniz’s conception of “Spanishness” entailed the structural translation of one of the “quintessential” features of flamenco music

On a general implementation of hh- and pp-adaptive curl-conforming finite elements

Edge (or N\'ed\'elec) finite elements are theoretically sound and widely used by the computational electromagnetics community. However, its implementation, specially for high order methods, is not trivial, since it involves many technicalities that are not properly described in the literature. To fill this gap, we provide a comprehensive description of a general implementation of edge elements of first kind within the scientific software project FEMPAR. We cover into detail how to implement arbitrary order (i.e., $p$-adaptive) elements on hexahedral and tetrahedral meshes. First, we set the three classical ingredients of the finite element definition by Ciarlet, both in the reference and the physical space: cell topologies, polynomial spaces and moments. With these ingredients, shape functions are automatically implemented by defining a judiciously chosen polynomial pre-basis that spans the local finite element space combined with a change of basis to automatically obtain a canonical basis with respect to the moments at hand. Next, we discuss global finite element spaces putting emphasis on the construction of global shape functions through oriented meshes, appropriate geometrical mappings, and equivalence classes of moments, in order to preserve the inter-element continuity of tangential components of the magnetic field. Finally, we extend the proposed methodology to generate global curl-conforming spaces on non-conforming hierarchically refined (i.e., $h$-adaptive) meshes with arbitrary order finite elements. Numerical results include experimental convergence rates to test the proposed implementation

Irreducible Lie-Yamaguti algebras

Lie-Yamaguti algebras (or generalized Lie triple systems) are binary-ternary algebras intimately related to reductive homogeneous spaces. The Lie-Yamaguti algebras which are irreducible as modules over their Lie inner derivation algebra are the algebraic counterpart of the isotropy irreducible homogeneous spaces. These systems will be shown to split into three disjoint types: adjoint type, non-simple type and generic type. The systems of the first two types will be classified and most of them will be shown to be related to a Generalized Tits Construction of Lie algebras.Comment: 25 page

An Ontology Based Method to Solve Query Identifier Heterogeneity in Post-Genomic Clinical Trials

The increasing amount of information available for biomedical research has led to issues related to knowledge discovery in large collections of data. Moreover, Information Retrieval techniques must consider heterogeneities present in databases, initially belonging to different domains—e.g. clinical and genetic data. One of the goals, among others, of the ACGT European is to provide seamless and homogeneous access to integrated databases. In this work, we describe an approach to overcome heterogeneities in identifiers inside queries. We present an ontology classifying the most common identifier semantic heterogeneities, and a service that makes use of it to cope with the problem using the described approach. Finally, we illustrate the solution by analysing a set of real queries