Approximate Best Proximity Points of Cyclic Self-maps in Metric Spaces and Cyclic Asymptotic Regularity

3rd International Conference on Mathematical Modeling in Physical Sciences (IC-MSQUARE) Madrid, AUG 28-31, 2014 / editado por Vagenas, EC; Vlachos, DS; Bastos, C; Hofer, T; Kominis, Y; Kosmas, O; LeLay, G; DePadova, P; Rode, B; Suraud, E; Varga, K

Lengua y derecho a la educación en la Comunidad Autónoma del País Vasco : reflexiones jurídicas sobre el tránsito hacia un nuevo modelo

The article analyzes the legal regime of Euskara in the education system of the Autonomous Community of the Basque Country (capv). In the capv, the legislation recognizes the right to choose the language of study during the educational cycle. The students are separated into different classrooms based on their language preference. This system of separation (of language models) has made it possible to make great strides, although its implementation also suggests aspects which, from the perspective of a pluralistic Basque society on its way towards greater social, political and language integration, call for further reflection The general model for language planning in the capv was fashioned in the eighties as a model characterized by the guarantee of spaces of language freedom, and the educational system was charged with making the learning of the region’s autochthonous language more widespread. At this point, we already have a fair degree of evidence on which to base an analysis of the system of language models and we are in a position to conclude that perhaps the educational system was given too heavy a burden. Official studies on language performance of Basque schoolchildren show (in a way that is now fully verified) that not all the students who finish their mandatory period of schooling achieve the level of knowledge of Euskara required by the regulations. When faced with this reality, it becomes necessary for us to articulate some alternative to the current configuration of the system of language models, one that will make it possible in the future to have a Basque society that is linguistically more integrated, thereby avoiding having the knowledge or lack of knowledge of one of the official languages become a language barrier between two communities. Many sides have urged a reconsideration of the system of language models. The Basque Parliament itself has requested the Department of Education to design a new system. This article analyzes the legal foundations on which the current system is built and explores the potential avenues for legal cooperation that would make it possible to move towards a new system aimed at guaranteeing higher rates of bilingualism. The system would be sufficiently flexible so as to be able to respond to and accommodate the different sociolinguistic realities of the region.

Tracking the evolution of waste recycling research using overlay maps of science

Tracking the evolution of research in waste recycling science (WRS) can be valuable for environmental agencies, as well as for recycling businesses. Maps of science are visual, easily readable representations of the cognitive structure of a branch of science, a particular area of research or the global spectrum of scientific production. They are generally built upon evidence collected from reliable sources of information, such as patent and scientific publication databases. This study uses the methodology developed by Rafols et al. (2010) to make a “double overlay map” of WRS upon a basemap reflecting the cognitive structure of all journal-published science, for the years 2005 and 2010. The analysis has taken into account the cognitive areas where WRS articles are published and the areas from where it takes its intellectual nourishing, paying special attention to the growing trends of the key areas. Interpretation of results lead to the conclusion that extraction of energy from waste will probably be an important research topic in the future, along with developments in general chemistry and chemical engineering oriented to the recovery of valuable materials from waste. Agricultural and material sciences, together with the combined economics, politics and geography field, are areas with which WRS shows a relevant and ever increasing cognitive relationship.

Erromaurreko Iberiar Penintsulako antzinaroari buruzko materialak : Iberiako hegoaldeko herri eta kulturak

Traducido por Iñaki Villoslada Fernández