Constructive updating/downdating of oblique projectors: a generalization of the Gram-Schmidt process

A generalization of the Gram-Schmidt procedure is achieved by providing equations for updating and downdating oblique projectors. The work is motivated by the problem of adaptive signal representation outside the orthogonal basis setting. The proposed techniques are shown to be relevant to the problem of discriminating signals produced by different phenomena when the order of the signal model needs to be adjusted.Comment: As it will appear in Journal of Physics A: Mathematical and Theoretical (2007

Measurements design and phenomena discrimination

The construction of measurements suitable for discriminating signal components produced by phenomena of different types is considered. The required measurements should be capable of cancelling out those signal components which are to be ignored when focusing on a phenomenon of interest. Under the hypothesis that the subspaces hosting the signal components produced by each phenomenon are complementary, their discrimination is accomplished by measurements giving rise to the appropriate oblique projector operator. The subspace onto which the operator should project is selected by nonlinear techniques in line with adaptive pursuit strategies

On the truncation of the harmonic oscillator wavepacket

We present an interesting result regarding the implication of truncating the wavepacket of the harmonic oscillator. We show that disregarding the non-significant tails of a function which is the superposition of eigenfunctions of the harmonic oscillator has a remarkable consequence: namely, there exist infinitely many different superpositions giving rise to the same function on the interval. Uniqueness, in the case of a wavepacket, is restored by a postulate of quantum mechanics

Aproximación a los problemas de aprendizaje de la estructura y formación del suelo en el alumnado de 12 a 17 años

In a longitudinal study, carried out with 12- 17 year old students, to know learning obstacles and their evolution through schooling years, on the scientific concept of soil, we have found important data of learning problems on these topics, showing the established inefficiency of transmission of scientific knowledge to conceptual change. Lastly, we point out some implications for the teaching and significative learning of these concepts

Stabilized Schemes for the Hydrostatic Stokes Equations

Some new stable finite element (FE) schemes are presented for the hydrostatic Stokes system or primitive equations of the ocean. It is known that the stability of the mixed formulation ap- proximation for primitive equations requires the well-known Ladyzhenskaya–Babuˇska–Brezzi condi- tion related to the Stokes problem and an extra inf-sup condition relating the pressure and the vertical velocity. The main goal of this paper is to avoid this extra condition by adding a residual stabilizing term to the vertical momentum equation. Then, the stability for Stokes-stable FE combinations is extended to the primitive equations and some error estimates are provided using Taylor–Hood P2 –P1 or miniele- ment (P1 +bubble)–P1 FE approximations, showing the optimal convergence rate in the P2 –P1 case. These results are also extended to the anisotropic (nonhydrostatic) problem. On the other hand, by adding another residual term to the continuity equation, a better approximation of the vertical derivative of pressure is obtained. In this case, stability and error estimates including this better approximation are deduced, where optimal convergence rate is deduced in the (P 1 +bubble)–P1 case. Finally, some numerical experiments are presented supporting previous results

CODA Algorithm: An Immune Algorithm for Reinforcement Learning Tasks

This document presents the design of an algorithm that takes on its basis: reinforcement learning, learning from demonstration and most importantly Artificial Immune Systems. The main advantage of this algorithm named CODA (Cognition from Data). Is; it can learn from limited data samples- that is given a single example and the algorithm will create its own knowledge. The algorithm imitates from the Natural Immune System the clonal procedure for obtaining a repertoire of antibodies from a single antigen. It also uses the self-organised memory in order to reduce searching time in the whole action-state space by searching in specific clusters. CODA algorithm is presented and explained in detail in order to understand how these three principles are used. The algorithm is explained with pseudocode, flowcharts and block diagrams. The clonal/mutation results are presented with a simple example. It can be seen graphically how new data that has a completely new probability distribution. Finally, the first application where CODA is used, a humanoid hand is presented. In this application the algorithm created affordable grasping postures from limited examples, creates its own knowledge and stores data in memory data in memory in order to recognise whether it has been on a similar situation

Metodología para seleccionar tecnologías Web 2.0 para la docencia

Actualmente existe un gran auge en el uso y difusión de las herramientas Web 2.0 tanto en el contexto profesional como en el personal. Su aplicación al ámbito de la docencia, tal y como sugieren algunos estudios, puede tener numerosas ventajas. Sin embargo, el abanico de herramientas Web 2.0 es muy amplio y por tanto sería de utilidad disponer de una metodología que pudiera guiar al docente a la hora de elegir la tecnología más adecuada a su proceso de enseñanza-aprendizaje según los objetivos perseguidos, así como en su implantación y posterior evaluación de los resultados alcanzados. En este artículo, se presenta una metodología de ayuda a los docentes de cualquier área de conocimiento para la selección e implantación de la tecnología Web 2.0 que más se adapte a un determinado proceso de enseñanza-aprendizaje en base a criterios docentes y técnicos. Esta metodología es el resultado de un proyecto de mejora e innovación educativa en el cual se han llevado a cabo diversas experiencias docentes sobre la aplicación de herramientas Web 2.0 en asignaturas de distintas titulaciones universitarias.SUMMARY -- The use and dissemination of Web 2.0 tools in professional and personal context is becoming more popular every day. Its application to teaching, as it is suggested by some studies, may have numerous advantages. However, the range of Web 2.0 tools is very broad and it would therefore be useful to have a methodology that guide the teacher in choosing the most appropriate technology to their teaching-learning process, taking into account some final objectives, as well as implementing and evaluating the achieved results. This paper presents a methodology to assist teachers from any area of knowledge in the selection of the Web 2.0 technology that best suits a particular teaching-learning process. This selection is based on some educational and technical criteria. The presented methodology is the result of an educational innovation and improvement project in which various teaching experiences based on the use of Web 2.0 tools have been carried out in different subjects of science degrees.Peer Reviewe

Gender gap in physical education: teachers’ attitudes towards equality

Este trabajo busca analizar las actitudes del profesorado de Educación Física hacia la igualdad de género y comparar las diferencias actitudinales entre ambos sexos. Se emplea una metodología tipo encuesta en la que participan 526 docentes de Educación Física. Los datos se obtienen aplicando la Escala School Doing Gender/teacher (SDG/t), compuesta por 30 ítems separados en tres subescalas. La mayoría de docentes estudiados adoptan una actitud adaptativa hacia los cambios relacionados con el género, y encontramos diferencias en las actitudes de este profesorado en función del género, obteniendo las profesoras puntuaciones más altas que los hombres. Necesitamos mejorar la formación en materia de igualdad con el objeto de concienciar más al profesorado y aumentar el conocimiento de los docentes, especialmente en el caso de los hombresThe aim of this paper is to analyse the Physical Education teachers’ attitudes towards gender equality, and compare attitudinal differences between male and female teachers. This study follows a survey-type quantitative descriptive methodology in which 526 Spanish PE teachers have taken part. Data were collected using the Likert-type Scale SDG/t (School Doing Gender /teachers), made up of 30 items separated in three subscales. PE teachers mainly showed an adaptive attitude towards gender changes. Nevertheless, differences were observed with regard to the participants' attitude towards gender issues depending on their sex. More specifically, female teachers achieved higher scores than males. This result suggests a better training in gender issues should be carried out in order to raise awareness and update the PE teachers' knowledge, especially in the case of male teachers

Reflexiones y propuestas sobre el tratamiento penal y procesal de la pequeña delincuencia patrimonial

A pesar de las constantes reformas, el tratamiento que dispensa el legislador español a la pequeña delincuencia patrimonial es una nueva muestra de Derecho penal simbólico ya que, en particular, la inclusión del párrafo segundo del art. 234.1 del Código penal y, con ello, la conversión en delito por reiteración de faltas es inoperante. La razón fundamental es que se trata de infracciones que individualmente consideradas son simples faltas contra la propiedad que, en virtud de la L.38/2002, de 24 de octubre, enjuiciamiento rápido e inmediato de determinados delitos y faltas y del procedimiento abreviado, deben ser juzgadas en el plazo máximo de catorce días. Aún así, en el texto punitivo existen otros mecanismos idóneos sin dejar de considerar que la respuesta a tales ilícitos no ha de ser estrictamente penal