216 research outputs found
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 Hilberts 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
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
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