New approximation to the third-order density : application to the calculation of correlated multicenter indices

In this work we present the formulas for the calculation of exact three-center electron sharing indices (3c-ESI) and introduce two new approximate expressions for correlated wave functions. The 3c-ESI uses the third-order density, the diagonal of the third-order reduced density matrix, but the approximations suggested in this work only involve natural orbitals and occupancies. In addition, the first calculations of 3c-ESI using Valdemoro's, Nakatsuji's and Mazziotti's approximation for the third-order reduced density matrix are also presented for comparison. Our results on a test set of molecules, including 32 3c-ESI values, prove that the new approximation based on the cubic root of natural occupancies performs the best, yielding absolute errors below 0.07 and an average absolute error of 0.015. Furthemore, this approximation seems to be rather insensitive to the amount of electron correlation present in the system. This newly developed methodology provides a computational inexpensive method to calculate 3c-ESI from correlated wave functions and opens new avenues to approximate high-order reduced density matrices in other contexts, such as the contracted Schrödinger equation and the anti-Hermitian contracted Schrödinger equation

A Case-based reasoning approach to validate grammatical gender and number agreement in Spanish language

Across Latin America 420 indigenous languages are spoken. Spanish is considered a second language in indigenous communities and is progressively introduced in education. However, most of the tools to support teaching processes of a second language have been developed for the most common languages such as English, French, German, Italian, etc. As a result, only a small amount of learning objects and authoring tools have been developed for indigenous people considering the specific needs of their population. This paper introduces Multilingual–Tiny as a web authoring tool to support the virtual experience of indigenous students and teachers when they are creating learning objects in indigenous languages or in Spanish language, in particular, when they have to deal with the grammatical structures of Spanish. Multilingual–Tiny has a module based on the Case-based Reasoning technique to provide recommendations in real time when teachers and students write texts in Spanish. An experiment was performed in order to compare some local similarity functions to retrieve cases from the case library taking into account the grammatical structures. As a result we found the similarity function with the best performance

La première génération d’écrivains d’origine amazighe dans la littérature catalane: Laila Karrouch (Nador, 1977) et Najat El Hachmi (Nador, 1979). Leur signification et valeur.

La Catalogne a accueilli entre la fin du XXe siècle et le début du XXIe siècle une importante vague d’immigrés aux origines les plus diverses. Les Marocains ont constitué le premier flot de cette vague et ont donné naissance, par le biais des oeuvres de Laila Karrouch et de Najat El Hachmi, à une littérature pionnière construite dans la tension entre deux mondes, le Maghreb et la Catalogne. Cette littérature, faite d’expériences vécues profondes, va permettre à beaucoup d’autres, à la fois, de garder leur identité et de se sentir citoyens de leur nouveau pays.

Reseña de 'Actas del I, II y III Congreso Internacional sobre Indigenismo americano'

Estos tres volúmenes de Actas de las sucesivas Jornadas Internacionales sobre Indigenismo Americano ponen al alcance dels lector un excepcional conjunto de trabajos de especialistas de ambas orillas del Atlántico.