Computing Hypercircles by Moving Hyperplanes

Let K be a field of characteristic zero, alpha algebraic of degree n over K. Given a proper parametrization psi of a rational curve C, we present a new algorithm to compute the hypercircle associated to the parametrization psi. As a consequence, we can decide if the curve C is defined over K and, if not, to compute the minimum field of definition of C containing K. The algorithm exploits the conjugate curves of C but avoids computation in the normal closure of K(alpha) over K.Comment: 16 page

Interaction and cooperative effort among scientific societies. Twelve years of COSCE

The evolution of knowledge and technology in recent decades has brought profound changes in science policy, not only in the countries but also in the supranational organizations. It has been necessary, therefore, to adapt the scientific institutions to new models in order to achieve a greater and better communication between them and the political counterparts responsible for defining the general framework of relations between science and society. The Federationon of Scientific Societies of Spain (COSCE, Confederación de Sociedades Científicas de España) was founded in October 2003 to respond to the urgent need to interact with the political institutions and foster a better orientation in the process of making decisions about the science policy. Currently COSCE consists of over 70 Spanish scientific societies and more than 40,000 scientists. During its twelve years of active life, COSCE has developed an intense work of awareness of the real situation of science in Spain by launching several initiatives (some of which have joined other organizations) or by joining initiatives proposed from other groups related to science both at the Spanish level and at the European and non-European scenarios. [Int Microbiol 18(4): 245-251 (2015)]Keywords: COSCE (Federation of Scientific Societies of Spain

Interaction and cooperative effort among scientific societies. Twelve years of COSCE

The evolution of knowledge and technology in recent decades has brought profound changes in science policy, not only in the countries but also in the supranational organizations. It has been necessary, therefore, to adapt the scientific institutions to new models in order to achieve a greater and better communication between them and the political counterparts responsible for defining the general framework of relations between science and society. The Federationon of Scientific Societies of Spain (COSCE, Confederación de Sociedades Científicas de España) was founded in October 2003 to respond to the urgent need to interact with the political institutions and foster a better orientation in the process of making decisions about the science policy. Currently COSCE consists of over 70 Spanish scientific societies and more than 40,000 scientists. During its twelve years of active life, COSCE has developed an intense work of awareness of the real situation of science in Spain by launching several initiatives (some of which have joined other organizations) or by joining initiatives proposed from other groups related to science both at the Spanish level and at the European and non-European scenarios

Polinomis positius i desigualtats polinomials

La caracterització dels polinomis positius sobre tot l'espai afí Rn fou l'objecte del problema 17 de Hilbert, resolt per Artin el 1929. Arran d'aquest mateix, s'han plantejat nombrosos problemes colaterals relatius a propietats dels conjunts de l'espai afí definits per desigualtats polinomials (anomenats semialgebraics) i la caracterització dels polinomis positius sobre ells. En aquest article s'ofereix una exposició dels principals resultats sobre aquest tema.The characterization of positive polynomials over the whole affine space R^n was the goal of Hilbert’s 17th problem, solved by Artin in 1929. Then came a host of related colateral problems, concerning properties of the subsets of affine space defined by polynomial inequalities (called semialgebraic sets) and the characterization of the positive polynomials over them. In this paper we offer an exposition of the main results on this topic

Topology of 2D and 3D Rational Curves

In this paper we present algorithms for computing the topology of planar and space rational curves defined by a parametrization. The algorithms given here work directly with the parametrization of the curve, and do not require to compute or use the implicit equation of the curve (in the case of planar curves) or of any projection (in the case of space curves). Moreover, these algorithms have been implemented in Maple; the examples considered and the timings obtained show good performance skills.Comment: 26 pages, 19 figure

Classification of obstruction for separation of semialgebraic sets in dimension 3

Sin resume

On Marshall’s p-invariant for semianalytic set germs

The invariant p(V ) has been introduced by M. Marshall as a measure of the complexity of semialgebraic sets of a real algebraic variety V . This invariant is defined as the least integer such that every semialgebraic set S ⊂ V has a separating family with p(V ) polynomials. In this paper we provide estimates for the invariant p in the case of analytic set germs. One of the tools we use is a realization theorem which is interesting by itself

Concentrador de mediciones clínicas en hospitales

El presente proyecto desarrolla una plataforma diseñada específicamente para su uso en hospitales y entornos biomédicos. Su propósito general es el de facilitar la toma de medidas de constantes vitales a los pacientes en dichos tipos de entornos con la finalidad de simplificar el trabajo del personal médico. Dicha plataforma, además de facilitar el trabajo, tiene como objetivo reducir los errores durante el manejo de datos, principalmente humanos, que puedan darse en la toma, gestión y envío de los datos. Para ello se presenta un sistema de tratamiento de datos, desensamblado, envío y automatización capaz de realizar todas las gestiones referentes a los datos de una manera autónoma, rápida y eficiente que presente a su vez una interfaz de usuario clara e intuitiva. Dicho sistema a su vez, está basado en la normativa de dispositivos electrónicos en entornos biomédicos tales como hospitales o centros de salud, concretamente en una zona concreta del sistema completo a las que las normas se refieren. Por último, el sistema contendrá un sistema de alimentación independiente formado por una batería recargable que aporte autonomía durante su uso. Este aspecto presenta una gran relevancia ya que ofrecerá la posibilidad de que el dispositivo pueda ser usado por parte del personal médico sin necesidad de apagarlo e iniciarlo cada vez que pueda ser usado, generando así una mayor versatilidad en la toma de las constantes vitales de varios pacientes consecutivamente.The objetive of this project is to develop a system whose main purpose is manage all the activities related to take measures of the vital signals of the patients in a biomedical environement, processing the data obtained, store it and send it if necessary. The Project has been divided into three parts. The most importante part has been the design and implementation of a device which is able to carry on with all the activities mentioned before. In the second part of the project (wich have been developed in first place) it is been collected a lot of information about the standars which are followed in the implementation of any health care device. The objetive of this part is get the enough knowledgement about this regulations thinking in the possibilities of a future implementation in a health care environment. The last part has as aim goal giving a special skill to the device, the autonomy. This autonomy will give a better performance to the device and to the general system, and it will be reached adding a battery. In this way, the battery will act as a power supply of the device

Selección de profesores y carrera universitaria

Uno de los pilares en los que se asienta la calidad de la enseñanza universitaria es el profesorado. Con el fin de asegurar la competencia y excelencia de la plantilla docente se han arbitrado diferentes mecanismos de selección y de acreditación. Según el rector de la Universidad Complutense, el actual sistema no es del todo adecuado y propone en la siguiente reflexión algunas medidas para mejorarlo.Depto. de Álgebra, Geometría y TopologíaFac. de Ciencias MatemáticasTRUEpu