An estimate on the fractal dimension of attractors of gradient-like dynamical systems

This paper is dedicated to estimate the fractal dimension of exponential global attractors of some generalized gradient-like semigroups in a general Banach space in terms of the maximum of the dimension of the local unstable manifolds of the isolated invariant sets, Lipschitz properties of the semigroup and the rate of exponential attraction. We also generalize this result for some special evolution processes, introducing a concept of Morse decomposition with pullback attractivity. Under suitable assumptions, if (A, A*) is an attractor-repeller pair for the attractor A of a semigroup {T(t) : t >= 0}, then the fractal dimension of A can be estimated in terms of the fractal dimension of the local unstable manifold of A*, the fractal dimension of A, the Lipschitz properties of the semigroup and the rate of the exponential attraction. The ingredients of the proof are the notion of generalized gradient-like semigroups and their regular attractors, Morse decomposition and a fine analysis of the structure of the attractors. As we said previously, we generalize this result for some evolution processes using the same basic ideas. (C) 2012 Elsevier Ltd. All rights reserved.

Diseño de programas educativos para mayores

[ES] En este artículo, de orientación esencialmente metodológica, se presentan las bases necesarias para abordar de forma adecuada el diseño de un programa educativo para personas mayores. Se presenta el marco conceptual que le aporta una orientación conceptual y viabilidad, y se proponen las ideas básicas para la elaboración de un programa de intervención en personas mayores. Se hace especial hincapié en los requisitos a tener en cuenta, en la propia construcción del programa, en su presentación formal y la necesaria temporalización. [ES] This paper is a proposal about the planning of educative programs for elderly people from a methodological perspective. This begins with a reference to framework, which guarantees the conceptual orientation and viability, and we propose some basic ideas to build an intervention program for elderly people. Moreover, there are specific issues that are relevant, as the requirements, the features of the program, its formal presentation, and its timing.

Enhanced Mixed Integer Programming Techniques and Routing Problems

Mixed integer programming is up today one of the most widely used techniques for dealing with hard optimization problems. On the one side, many practical optimization problems arising from real-world applications (such as, e.g., scheduling, project planning, transportation, telecommunications, economics and finance, timetabling, etc) can be easily and effectively formulated as Mixed Integer linear Programs (MIPs). On the other hand, 50 and more years of intensive research has dramatically improved on the capability of the current generation of MIP solvers to tackle hard problems in practice. However, many questions are still open and not fully understood, and the mixed integer programming community is still more than active in trying to answer some of these questions. As a consequence, a huge number of papers are continuously developed and new intriguing questions arise every year. When dealing with MIPs, we have to distinguish between two different scenarios. The first one happens when we are asked to handle a general MIP and we cannot assume any special structure for the given problem. In this case, a Linear Programming (LP) relaxation and some integrality requirements are all we have for tackling the problem, and we are ``forced" to use some general purpose techniques. The second one happens when mixed integer programming is used to address a somehow structured problem. In this context, polyhedral analysis and other theoretical and practical considerations are typically exploited to devise some special purpose techniques. This thesis tries to give some insights in both the above mentioned situations. The first part of the work is focused on general purpose cutting planes, which are probably the key ingredient behind the success of the current generation of MIP solvers. Chapter 1 presents a quick overview of the main ingredients of a branch-and-cut algorithm, while Chapter 2 recalls some results from the literature in the context of disjunctive cuts and their connections with Gomory mixed integer cuts. Chapter 3 presents a theoretical and computational investigation of disjunctive cuts. In particular, we analyze the connections between different normalization conditions (i.e., conditions to truncate the cone associated with disjunctive cutting planes) and other crucial aspects as cut rank, cut density and cut strength. We give a theoretical characterization of weak rays of the disjunctive cone that lead to dominated cuts, and propose a practical method to possibly strengthen those cuts arising from such weak extremal solution. Further, we point out how redundant constraints can affect the quality of the generated disjunctive cuts, and discuss possible ways to cope with them. Finally, Chapter 4 presents some preliminary ideas in the context of multiple-row cuts. Very recently, a series of papers have brought the attention to the possibility of generating cuts using more than one row of the simplex tableau at a time. Several interesting theoretical results have been presented in this direction, often revisiting and recalling other important results discovered more than 40 years ago. However, is not clear at all how these results can be exploited in practice. As stated, the chapter is a still work-in-progress and simply presents a possible way for generating two-row cuts from the simplex tableau arising from lattice-free triangles and some preliminary computational results. The second part of the thesis is instead focused on the heuristic and exact exploitation of integer programming techniques for hard combinatorial optimization problems in the context of routing applications. Chapters 5 and 6 present an integer linear programming local search algorithm for Vehicle Routing Problems (VRPs). The overall procedure follows a general destroy-and-repair paradigm (i.e., the current solution is first randomly destroyed and then repaired in the attempt of finding a new improved solution) where a class of exponential neighborhoods are iteratively explored by heuristically solving an integer programming formulation through a general purpose MIP solver. Chapters 7 and 8 deal with exact branch-and-cut methods. Chapter 7 presents an extended formulation for the Traveling Salesman Problem with Time Windows (TSPTW), a generalization of the well known TSP where each node must be visited within a given time window. The polyhedral approaches proposed for this problem in the literature typically follow the one which has been proven to be extremely effective in the classical TSP context. Here we present an overall (quite) general idea which is based on a relaxed discretization of time windows. Such an idea leads to a stronger formulation and to stronger valid inequalities which are then separated within the classical branch-and-cut framework. Finally, Chapter 8 addresses the branch-and-cut in the context of Generalized Minimum Spanning Tree Problems (GMSTPs) (i.e., a class of NP-hard generalizations of the classical minimum spanning tree problem). In this chapter, we show how some basic ideas (and, in particular, the usage of general purpose cutting planes) can be useful to improve on branch-and-cut methods proposed in the literature.

Aspekte der Modellbildung: Konzepte und Anwendung in der Atmungsphysiologie

Im ersten Teil 'Analyse der Grundlagen' der Dissertation 'Aspekte der Modellbildung: Konzepte und Anwendung in der Atmungsphysiologie' werden die Grundlagen zur Verfügung gestellt. Ausgehend von der Definition der modularer dynamischer Systeme im Kapitel 1 werden Grundbegriffe zu Modellen, Simulation und Modellentwicklung (Kapitel 2) dargelegt und schließlich folgt ein Kapitel über Netzmodelle. Im zweiten Teil wird 'der Prozess der Operationalisierung' untersucht. Im Kapitel 4 wird mit 'dem Koordinatensystem der Modellbildung' ein allgemeiner Lebenszyklus zur Modellbildung vorgestellt. Das Kapitel 5 zur 'Modellentwicklung' steht im Zentrum der Arbeit, wo eine generische Struktur für modulare Level-Raten-Modelle entwickelt wird. Das Kapitel endet mit einem Konzept zur Kalibrierung von Modellen, das auf Data Mining von Modelldaten basiert. Der Prozess der Operationalisierung endet mit der Validierung im sechsten Kapitel. 'Die Validierung am Beispiel der Atmungsphysiologie' im dritten Teil stellt die Anwendung der in beiden Teilen zuvor entwickelten Theorie dar. Zunächst wird das Projekt 'Evita-Weaning-System' vorgestellt, in dem die Arbeit entstanden ist. Ferner werden die notwendigen medizinischen Grundlagen der Atmungsphysiologie analysiert (Kapitel 7). Eine detaillierte Beschreibung des Modells der Atmungsphysiologie und der dabei entwickelten Algorithmen folgt im achten Kapitel. Die Arbeit schließt mit einem Kapitel zur Validierung des physiologischen Modells.

Nuove pratiche turistiche e sostenibilita'. I profili del turista lento in Valnerina

Il presente lavoro intende analizzare il tema del turista lento che nell’ultimo decennio si è diffuso nel dibattito scientifico e culturale connesso al tema della sostenibilità e della qualità della vita e nel contesto dell’approccio teorico strutturato intorno alle nuove tendenze dello Slow Tourism. In una prima parte la tesi delinea il framework della sostenibilità con particolare attenzione al recente dibattito in corso sulla “decrescita” e l’“a-crescita” come concetti alternativi al paradigma della crescita. Successivamente viene evidenziato il modo in cui le idee di base ed i principi dello sviluppo sostenibile sono stati applicati al turismo e indagato il legame tra sostenibilità e responsabilità e come questo configura l’emergere di un turismo “responsustable”. In tale contesto viene analizzata la relazione tra turismo e lentezza in cui a filosofia slow non deve essere interpretata come un fenomeno del momento o un innovativo prodotto turistico, ma come una filosofia di vita, un movimento sociale e globale che negli ultimi anni ha caratterizzato i diversi ambiti socio-economici delle comunità locali. Successivamente attraverso una review della letteratura nazionale ed internazionale sul tema, la pluralità di prospettive teoriche vengono sistematizzate in tre ipotesi di lettura riconducibili a tre paradigmi: sostenibilità- slow tourism- territorio; benessere – slow tourism – qualità della vita; esperienza – slow tourism – consumo. Nella seconda parte del lavoro viene presentata l’indagine empirica a partire dall’analisi di contesto del territorio in cui si è svolta l’attività di ricerca, i nove comuni del Comprensorio Turistico della Valnerina in Umbria, con particolare riferimento all’analisi dell’offerta e della domanda turistica. Successivamente sono presentati i risultati di un questionario somministrato a 620 turisti attraverso il quale viene analizzato il profilo motivazionale, le esperienze di fruizione turistica e la percezione della qualità territoriale da parte del turista e delineato il profilo del turista slow in Valnerina.

Family Anomie and Juvenile Deliquency in Post-Communist Romania

The sensitivity of crime rates to social, economic and political influences has long aroused the interest of sociologists who have attempted to explain what kind of relationships might be associated with variations in crime rates between different social groups at different times. The earliest views were put forward by Emil Durkheim, and while later writers have developed (R.K. Merton, L. Srole, A, K. Cohen, etc.) have developed some aspects of his ideas further, his basic ideas of the divorce of the individual from normative standards and the lack of social integration are still valid. Ms. Voicu-Minea looked at the theoretical background in detail but then limited it to a specific social group, the family, asking first why certain individual within vulnerable families and/or negative social influences commit offences while others do not. In modern times the family has undergone massive structural and functional changes. Its former economic function, which once endowed it with a great capacity for social inclusion, has generally vanished, while its formerly crucial role in children's education has been massively reduced. These changes, which are still not complete, can lead to dysfunction and in certain social contexts such as that in post-communist Romanian society, this risk of dysfunction is still greater as unfavourably social circumstances more easily affect such families. The number of cases of juvenile delinquency in Romania has increased sharply ever since the end of the communist system and in 1996 reached the level of 18,317 cases. The sample examined included 1012 juvenile delinquents aged between 14 and 18, taken from all areas of Bucharest. Over 80% of charges related to theft, with more serious offences being relatively rare. The children underwent a series of psychological tests, accompanied by a questionnaire relating to family situation. The results showed that juvenile delinquency in Romania is overwhelmingly male, with 91.8% of offences being committed by boys. Two thirds of the research group were under the age of 16 and only just over one third attended school, with over half having left school before the legal age. While the majority of subjects had a lower than average level of education, they did not always recognise this, with two thirds seeing their level of education as being as good as or better than average. Nearly half the children (43%) did not live with both natural parents and majority came from families with three or more children. This applied both to their original families and to the families in which they were living at the time of the survey. The overwhelming majority of families were living in or around Bucharest, but under one third originated from there. Almost 25% of parents were under-schooled and around one third were unqualified workers. At least 30% of families lived in inadequate accommodation and family incomes were generally low. Ms. Voicu-Minea does however point out that over half the minors from the sample saw their family income as satisfactory or even more than satisfactory. When factors such as bad relationships between parents, corporal punishment, alcohol consumption and criminal records of family members were taken into account, the picture was bleak, making it understandable why over 36% of subjects had run away from home at least once, and in many cases repeatedly and for longer periods. The overwhelming majority of offences (80.8%) were committed in groups of between 2 and 11 persons, usually "friends" but in about 10% of cases member's of the family. IQ tests put about 75% of the sample at slightly under average, the difference being too slight to account for the behaviour problems of the majority. Personality tests, however, showed a different picture. Over 70% of those tested manifested an acute need of tenderness and a similar number a high level of potential aggressiveness. Almost half of the minors expressed such feelings as intolerance or a desire for revenge, and Ms. Voicu-Minea found a clear weakness of the Self. Around half the sample expressed sentiments of abandonment, renunciation and solitude.

Social Networks Analysis

This morning Dr. Risser will introduce you to the basic ideas of social network analysis. You will learn some history behind the study of social networks. Dr. Risser will introduce you to mathematical measures of social networks including centrality measures and measures of spread and cohesion. You will also learn how to use a computer program to analyze social network data

Capabilities and Education

This paper provides an outline about the basic ideas of the capability approach. It will be argued that the capability approach is able to provide an appropriate approach in order to evaluate educational and social human services. As an egalitarian approach to social justice, the capability approach has particular strengths when issues concerning the actual life-conduct of tangible human beings come to the fore. In particular educational aspects of welfare and well-being might thus be well grounded on the Aristotelian reasoning of the capability approach. The paper focuses on the potentially fruitful relations of the capability approach and the philosophy and practice of ‘just’ education referring to the idea of the autonomy of life-practice.

Wellbeing

Well-being is an important component of physical and psychological health and an important source for individual development. The article aims to give an overview of different research traditions and definitions of well-being and to outline the basic ideas of research into well-being. It also examines well-being in school, the sources and predictors of well-being, as well as the function of well-being in educational settings. Both student and teacher well-being are considered.

Is It Worthwhile for Indonesia to Rush into a Free Trade Deal with Japan?

This report represents a preliminary attempt to refine some basic ideas on the potential impact Indonesia might experience from a free trade arrangement with Japan, using a forward-looking, multi-regional, multi-sectoral applied general equilibrium model of global trade to capture growth effects through capital accumulation paying attention to the changes in the patterns of interregional capital flows that might happen even before the policy change occurs. The simulation results revealed that the welfare gains of rushing into trade liberalization with Japan are not so large. This makes out that taking time over negotiations might be the best choice for Indonesia if the government places priority on convincing the Indonesian people that a free trade deal with Japan will definitely bring positive effects, while proceeding rapidly might be the answer if the country is serious about recovering the welfare levels that might be lowered by free trade arrangements among Malaysia, the Philippines, and Japan.

Reduced order modeling of some fluid flows of industrial interest

Some basic ideas are presented for the construction of robust, computationally efficient reduced order models amenable to be used in industrial environments, combined with somewhat rough computational fluid dynamics solvers. These ideas result from a critical review of the basic principles of proper orthogonal decomposition-based reduced order modeling of both steady and unsteady fluid flows. In particular, the extent to which some artifacts of the computational fluid dynamics solvers can be ignored is addressed, which opens up the possibility of obtaining quite flexible reduced order models. The methods are illustrated with the steady aerodynamic flow around a horizontal tail plane of a commercial aircraft in transonic conditions, and the unsteady lid-driven cavity problem. In both cases, the approximations are fairly good, thus reducing the computational cost by a significant factor.

Método CSORA: la búsqueda de conocimiento

En este artículo se ofrece una visión rápida de las necesidades del uso de buscadores para la gestión del conocimiento y de las ideas básicas de su funcionamiento. A continuación se presenta el método CSORA (Classify, Search, Organize, Relate, Adapt), conjunto de procedimientos técnicos y metodológicos que mejoran la eficacia de los buscadores haciendo posible encontrar información relevante en entornos con mucha información o información especializada. Finalmente se muestra su integración en los motores de búsqueda y en las conclusiones se incluyen las ventajas de su uso, verificadas a través de experiencias realizadas y las líneas de investigación futuras. ABSTRACT: In this paper we offer a fast overview of the usage needs of search engines for knowledge management, as well as the basic ideas about how they work. We then present the CSORA method (Classify, Search, Organize, Relate and Adapt), a set of technical and methodological procedures that improve the efficacy of search engines, making it possible to find relevant information in environments with lots of information or specialized information. Last, we show the integration of the method into the search engines. The conclusions include a description of the advantages of using this method, verified by experiments carried out, and the lines of future work.

Implementación de algoritmos para la manipulación de curvas concoides en diseño geométrico

Este proyecto se enmarca dentro de la Computación Simbólica y de los fundamentos matemáticos del Diseño Geométrico Asistido por ordenador (CAGD). Se abordara uno de los problemas principales en el ámbito del CAGD y que es la manipulación de las Curvas Concoide. La importancia del avance en la manipulación de las curvas concoide radica en el papel fundamental que desempeñan en múltiples aplicaciones en la actualidad dentro de campos de diversa índole tales como la medicina, la óptica, el electromagnetismo, la construcción, etc. El objetivo principal de este proyecto es el diseño e implementación de algoritmos para el estudio, cálculo y manipulación de curvas concoides, utilizando técnicas propias del Calculo Simbólico. Esta implementación se ha programado utilizando el sistema de computación simbólica Maple. El proyecto consiste en dos partes bien diferenciadas, una parte teórica y otra más practica. La primera incluye la descripción geométrica y definición formal de curvas concoide, así como las ideas y propiedades básicas. De forma más precisa, se presenta un estudio matemático sobre el análisis de racionalidad de estas curvas, explicando los algoritmos que serán implementados en las segunda parte, y que constituye el objetivo principal de este proyecto. Para cerrar esta parte, se presenta una pequeña introducción al sistema y a la programación en Maple. Por otro lado, la segunda parte de este proyecto es totalmente original, y en ella el autor desarrolla las implementaciones en Maple de los algoritmos presentados en la parte anterior, así como la creación de un paquete Maple que las recoge. Por último, se crean las paginas de ayudas en el sistema Maple para la correcta utilización del paquete matemático anteriormente mencionado. Una vez terminada la parte de implementación, se aplican los algoritmos implementados a una colección de curvas clásicas conocidas, recogiendo los datos y resultados obtenidos en un atlas de curvas. Finalmente, se presenta una recopilación de las aplicaciones más destacadas en las que las concoides desempeñan un papel importante así como una breve reseña sobre las concoides de superficies, objeto de varios estudios en la actualidad y a los que se considera que el presente proyecto les puede resultar de gran utilidad. Abstract This project is set up in the framework of Symbolic Computation as well as in the implementation of algebraic-geometric problems that arise from Computer Aided Geometric Design (C.A.G.D.) applications. We address problems related to conchoid curves. The importance of these curves is the fundamental role that they play in current applications as medicine, optics, electromagnetism, construction, etc. The main goal of this project is to design and implement some algorithms to solve problems in studying, calculating and generating conchoid curves with symbolic computation techniques. For this purpose, we program our implementations in the symbolic system “Maple". The project consists of two differentiated parts, one more theoretical part and another part more practical. The first one includes the description of conchoid curves as well as the basic ideas about the concept and its basic properties. More precisely, we introduce in this part the mathematical analysis of the rationality of the conchoids, and we present the algorithms that will be implemented. Furthermore, the reader will be brie y introduced in Maple programming. On the other hand, the second part of this project is totally original. In this more practical part, the author presents the implemented algorithms and a Maple package that includes them, as well as their help pages. These implemented procedures will be check and illustrated with some classical and well known curves, collecting the main properties of the conchoid curves obtained in a brief atlas. Finally, a compilation of the most important applications where conchoids play a fundamental role, and a brief introduction to the conchoids of surfaces, subject of several studies today and where this project could be very useful, are presented.

Ontology Development by Reuse

This chapter presents methodological guidelines that allow engineers to reuse generic ontologies. This kind of ontologies represents notions generic across many fields, (is part of, temporal interval, etc.). The guidelines helps the developer (a) to identify the type of generic ontology to be reused, (b) to find out the axioms and definitions that should be reused and (c) to adapt and integrate the generic ontology selected in the domain ontology to be developed. For each task of the methodology, a set of heuristics with examples are presented. We hope that after reading this chapter, you would have acquired some basic ideas on how to take advantage of the great deal of well-founded explicit knowledge that formalizes generic notions such as time concepts and the part of relation.

Rational conchoid and offset constructions: algorithms and implementation

This paper is framed within the problem of analyzing the rationality of the components of two classical geometric constructions, namely the offset and the conchoid to an algebraic plane curve and, in the affirmative case, the actual computation of parametrizations. We recall some of the basic definitions and main properties on offsets (see [13]), and conchoids (see [15]) as well as the algorithms for parametrizing their rational components (see [1] and [16], respectively). Moreover, we implement the basic ideas creating two packages in the computer algebra system Maple to analyze the rationality of conchoids and offset curves, as well as the corresponding help pages. In addition, we present a brief atlas where the offset and conchoids of several algebraic plane curves are obtained, their rationality analyzed, and parametrizations are provided using the created packages.