Aplicaciones de la teoría de PDE a la relatividad general

Este plan de trabajo contempla diversas aplicaciones de la teoría de las Ecuaciones en Derivadas Parciales en el contexto de la Relatividad General. (...) Estas aplicaciones tiene como una de las intenciones últimas la de ser empleadas en simulaciones numéricas. Entre ellas destacamos las siguientes: * Fluidos viscosos relativistas y sus límites parabólicos. * Modelado numérico de las ecuaciones del primer punto. * Existencia global de sistemas disipativos. * Teoremas no-hair cosmológicos. * Límite Newtoniano de la relatividad general, resultados rigurosos. * Condiciones de contorno para las ecuaciones de Einstein.

Thermal tests on the LISA pathfinder engineering model

Report for the scientific sojourn carried out at Albert Einstein Institut in Germany, from April to July 2006.

On the applicability of mathematics : philosophical and historical perspectives

The present thesis is a contribution to the debate on the applicability of mathematics; it examines the interplay between mathematics and the world, using historical case studies. The first part of the thesis consists of four small case studies. In chapter 1, I criticize "ante rem structuralism", proposed by Stewart Shapiro, by showing that his so-called "finite cardinal structures" are in conflict with mathematical practice. In chapter 2, I discuss Leonhard Euler's solution to the Königsberg bridges problem. I propose interpreting Euler's solution both as an explanation within mathematics and as a scientific explanation. I put the insights from the historical case to work against recent philosophical accounts of the Königsberg case. In chapter 3, I analyze the predator-prey model, proposed by Lotka and Volterra. I extract some interesting philosophical lessons from Volterra's original account of the model, such as: Volterra's remarks on mathematical methodology; the relation between mathematics and idealization in the construction of the model; some relevant details in the derivation of the Third Law, and; notions of intervention that are motivated by one of Volterra's main mathematical tools, phase spaces. In chapter 4, I discuss scientific and mathematical attempts to explain the structure of the bee's honeycomb. In the first part, I discuss a candidate explanation, based on the mathematical Honeycomb Conjecture, presented in Lyon and Colyvan (2008). I argue that this explanation is not scientifically adequate. In the second part, I discuss other mathematical, physical and biological studies that could contribute to an explanation of the bee's honeycomb. The upshot is that most of the relevant mathematics is not yet sufficiently understood, and there is also an ongoing debate as to the biological details of the construction of the bee's honeycomb. The second part of the thesis is a bigger case study from physics: the genesis of GR. Chapter 5 is a short introduction to the history, physics and mathematics that is relevant to the genesis of general relativity (GR). Chapter 6 discusses the historical question as to what Marcel Grossmann contributed to the genesis of GR. I will examine the so-called "Entwurf" paper, an important joint publication by Einstein and Grossmann, containing the first tensorial formulation of GR. By comparing Grossmann's part with the mathematical theories he used, we can gain a better understanding of what is involved in the first steps of assimilating a mathematical theory to a physical question. In chapter 7, I introduce, and discuss, a recent account of the applicability of mathematics to the world, the Inferential Conception (IC), proposed by Bueno and Colyvan (2011). I give a short exposition of the IC, offer some critical remarks on the account, discuss potential philosophical objections, and I propose some extensions of the IC. In chapter 8, I put the Inferential Conception (IC) to work in the historical case study: the genesis of GR. I analyze three historical episodes, using the conceptual apparatus provided by the IC. In episode one, I investigate how the starting point of the application process, the "assumed structure", is chosen. Then I analyze two small application cycles that led to revisions of the initial assumed structure. In episode two, I examine how the application of "new" mathematics - the application of the Absolute Differential Calculus (ADC) to gravitational theory - meshes with the IC. In episode three, I take a closer look at two of Einstein's failed attempts to find a suitable differential operator for the field equations, and apply the conceptual tools provided by the IC so as to better understand why he erroneously rejected both the Ricci tensor and the November tensor in the Zurich Notebook.

Muntatge i automatització d'un ascensor de 4 plantes

Treball de recerca realitzat per alumnes d'ensenyament secundari i guardonat amb un Premi CIRIT per fomentar l'esperit cientí­fic del Jovent l'any 2009. Les primera intenció d'aquesta recerca és unificar dues grans branques de la tecnologia com són la mecànica i l'elèctronica. Així va sorgir el projecte de construir un ascensor i provar un nou sistema de transmissió com és el vis sense fi juntament amb la introducció d'un microcontrolador del tipus PIC com a unitat central de processament. El primer pas d'aquest treball va ser el disseny d'aquest ascensor utilitzant diversos programes. Posteriorment es van encarregar aquestes peces abans dissenyades per tal de començar-ne la construcció. Aquestes peces van ser unides totalment mitjançant rebladures i altres suports mecànics. A continuació es va desenvolupar la programació del microcontrolador. El pas més important va ser l'acoblament del grup motor i el poliment dels aspectes més difícils de corregir com és el cas dels molts fregaments que patia al ser una estructura purament metàl·lica. Corregits aquests problemes i el nivell sonor, es va donar per conclòs el treball.

Dalí et le dynamisme des formes. L'élaboration de l'activité « paranoïaque-critique » dans le contexte socioculturel des années 1920-1930

RESUME Dalí et le dynamisme des formes. L'élaboration de l'activité « paranoïaque-critique » dans le contexte socioculturel des années 1920-1930 Rendre à nouveau lisibles des textes dont on ne sait plus reconnaître les enjeux historiques et cognitifs, tel est le principal défi que cet ouvrage consacré aux écrits surréalistes de Dalí se propose de relever. La thèse fait ressortir l'image sans doute un peu déroutante d'un créateur stratège qui, assimilant de manière originale les savoirs les plus variés et dialoguant avec les intellectuels de son temps, propose au tournant des années 1930 une théorie du surréalisme novatrice, capable de redynamiser un groupe en pleine crise. L'étude, combinant des perspectives sociologiques et linguistiques, explore tout d'abord les écrits à caractère manifestaire et dessine les traits conceptuels et stylistiques qui font la singularité du projet de Dalí dans le cadre du mouvement surréaliste. S'inspirant des images-devinettes, de la production des fous, de l'interprétation des figures aux formes indéterminées, le Catalan conçoit une méthode créative et cognitive qui se fonde sur une pensée subconsciente active, schématisant et fertilisant automatiquement toute donnée perçue. Dans le domaine de la peinture, ce sont les formes des objets qui sont surdéterminées par les désirs subconscients du créateur et du spectateur et qui acquièrent ainsi des significations inattendues. Dans le domaine de l'écriture, ce sont les formes sonores et graphiques des mots ou encore l'ossature discursive qui, investies par les fantasmes de l'écrivain et du lecteur, génèrent une multitude d'images. A l'aune des modes de connaissance propres à l'époque, l'étude porte ensuite sur deux modèles de pensée - le paradigme photographique et l'imaginaire lié à la notion d'espace-temps développée par Einstein dans le cadre de la théorie de la relativité générale - qui sont en vogue pendant les années 1930 et que le peintre se réapproprie pour signifier la dimension « révélatrice » et « objective » de ses oeuvres. Premièrement, pour penser la méthode « paranoïaque-critique », le Catalan reprend et détourne les phases de production du cliché : loin de reproduire fidèlement le visible, le dispositif photographique dalinien permet de révéler les pensées subconscientes. Deuxièmement, dès 1933-1934, Dalí reformule le modèle de l'espace-temps de la relativité générale d'Einstein pour penser la façon dont une entité invisible (le fantasme) s'objective et se matérialise dans la réalité extérieure. L'étude du dynamisme psychique conféré par Dalí aux formes des objets, aux formes verbales et picturales permet finalement de mettre en lumière le foisonnement mais aussi l'extrême cohérence de l'univers surréaliste du Catalan, et de souligner la valeur de l'approche « paranoïaque-critique » de la réalité tant sur le plan de l'histoire culturelle que sur le plan de la connaissance.

Forces de Casimir i les seves aplicacions

Report for the scientific sojourn carried out at the Darmouth College, from august 2007 until february 2008. It has been very successful, from different viewpoints: scientific, philosophical, human. We have definitely advanced, during the past six months, towards the comprehension of the behaviour of the fluctuations of the quantum vacuum in the presence of boundaries, moving and non-moving, and also in situations where the topology of space-time changes: the dynamical Casimir effect, regularization problems, particle creation statistics, according to different BC, etc. We have solved some longstanding problems and got in this subject quite remarkable results (as we will explain in more detail below). We also pursued a general approach towards a viable modified f(R) gravity in both the Jordan and the Einstein frames (which are known to be mathematically equivalent, but physically not so). A class of exponential, realistic modified gravities has been introduced by us and investigated with care. Special focus was made on step-class models, most promising from the phenomenological viewpoint and which provide a natural way to classify all viable modified gravities. One- and two-steps models were considered, but the analysis is extensible to N-step models. Both inflation in the early universe and the onset of recent accelerated expansion arise in these models in a natural, unified way, what makes them very promising. Moreover, it is monstrated in our work that models in this category easily pass all local tests, including stability of spherical body solution, non-violation of Newton's law, and generation of a very heavy positive mass for the additional scalar degree of freedom.

ElevationSys

ElevationSys es un sistema de gestión web para el proceso de producción de una empresa de ascensores. El sistema contiene diferentes tipos de usuarios de los departamentos de la empresa y esta administrado por unos flujos con relación de dependencia que van marcando el ritmo del trabajo. Este backOffice está pensado para abarcar todo el procedimiento de la fábrica, desde que se presenta la oferta al cliente hasta que se entrega la máquina.

A Happy and a Healthy 2012

Many of us start the New Year with the best of intentions to lose weight, get fitter and eat well. It's that sense of new possibilities and fresh beginnings that can also help motivate changes in lifestyle. The Public Health Agency advises that making small changes to your own and your family's lifestyle can have a significant impact on improving overall health. Taking time to reflect, and making a plan, can all help. Choosing healthier food and increasing your physical activity will help maintain a healthy weight and prevent unwanted weight gain, which can have serious implications for a person's physical and mental health as it is associated with an increased risk of heart disease, stroke, type 2 diabetes, some cancers, respiratory problems, joint pain and depression.What can I do to improve my health?Make 1 or 2 small changes at a time - don't try to change your lifestyle radically or all at once as you're more likely to fail. Small changes in what you eat, or how active you are, are easier to make and more likely to be maintained.Mary Black, Assistant Director of Health and Wellbeing Improvement, PHA, said: "The New Year brings a time when many people reflect on their lives and very often eating more healthily is one of things they identify for change. I recommend setting a couple of small, achievable targets that can then be continued in the long term, for example:Eat breakfast everyday;Eat an extra portion of vegetables every day;Swap deep fried chips for oven chips;Choose fruit for between-meal snacks instead of a biscuit or bun;Begin to enjoy a hot drink on its own without feeling the need to have something sweet at the same time.Be active. Any sort of activity will be good for you. Think about how you can be more active each day. This doesn't have to involve running a marathon or joining a gym. Some suggestions include:· Go for walks with the children/family or friends. It's free! Walk on your lunch break;· Take the stairs instead of the elevator or escalator;· Park further away and walk to work/school;· Get off the bus a stop earlier and walk the rest;· Minimise the amount of time you are sitting down - take breaks from the computer at work or watching TV at home and walk around;· Children and adults can build up to the recommended daily activity levels in 10 minute sessions rather than doing it all in one session.Adults need at least 30 minutes, five days a week of moderate physical activity and children need 60 minutes of physical activity every day.Mary continued "It's easy for people to get into the habit of spending their spare time sitting down - watching TV, playing computer games, listening to their MP3 players - but being active will help you maintain a healthy weight and generally make you feel better. It can also improve your mood, reduce anxiety and protect against depression."It is what you do most of the time that really matters, so if you eat too much or don't exercise on any one day, don't worry too much - just accept it and get back to your new way of eating and being more active as soon as possible.

Space-time within general relativity : a structural realist understanding

ABSTRACT This dissertation investigates the, nature of space-time as described by the theory of general relativity. It mainly argues that space-time can be naturally interpreted as a physical structure in the precise sense of a network of concrete space-time relations among concrete space-time points that do not possess any intrinsic properties and any intrinsic identity. Such an interpretation is fundamentally based on two related key features of general relativity, namely substantive general covariance and background independence, where substantive general covariance is understood as a gauge-theoretic invariance under active diffeomorphisms and background independence is understood in the sense that the metric (or gravitational) field is dynamical and that, strictly speaking, it cannot be uniquely split into a purely gravitational part and a fixed purely inertial part or background. More broadly, a precise notion of (physical) structure is developed within the framework of a moderate version of structural realism understood as a metaphysical claim about what there is in the world. So, the developement of this moderate structural realism pursues two main aims. The first is purely metaphysical, the aim being to develop a coherent metaphysics of structures and of objects (particular attention is paid to the questions of identity and individuality of these latter within this structural realist framework). The second is to argue that moderate structural realism provides a convincing interpretation of the world as described by fundamental physics and in particular of space-time as described by general relativity. This structuralist interpretation of space-time is discussed within the traditional substantivalist-relationalist debate, which is best understood within the broader framework of the question about the relationship between space-time on the one hand and matter on the other. In particular, it is claimed that space-time structuralism does not constitute a 'tertium quid' in the traditional debate. Some new light on the question of the nature of space-time may be shed from the fundamental foundational issue of space-time singularities. Their possible 'non-local' (or global) feature is discussed in some detail and it is argued that a broad structuralist conception of space-time may provide a physically meaningful understanding of space-time singularities, which is not plagued by the conceptual difficulties of the usual atomsitic framework. Indeed, part of these difficulties may come from the standard differential geometric description of space-time, which encodes to some extent this atomistic framework; it raises the question of the importance of the mathematical formalism for the interpretation of space-time.

Dementia educational needs analysis

A report from the Dementia Elevator project��at Dublin City University��highlights��the gaps that exist in dementia skills and knowledge in Ireland. It considers��models of��best practice in dementia training and education, and hopes to��inform ��the development of appropriately tailored dementia-related training and education programmes in��Ireland.��Read the report here.

Botulinum toxin A in non-dystonic tremors.

The present pilot study evaluated the effect of botulinum toxin A on primarily non-dystonic tremors using accelerometry in a single-blind, placebo-controlled design. Resting, postural, intention, or head tremor were assessed before and approximately 1 month after intramuscular saline and botulinum toxin A (25-50 U) respectively. Half of the patients showed > or = 30% placebo effect. Tremor in 10 of 17 patients (60%) studied improved further after botulinum toxin A (range 30-95%), exceeding the placebo effect by > or = 30%. Nine patients demonstrated clinically significant focal weakness in the extensor muscles after botulinum toxin A which interfered with fine movements. Patients were subdivided into PD-like and ET-like tremor(s). Both groups experienced large placebo effects for resting tremor, with little or no further improvement after botulinum toxin A. The improvement in postural tremor after botulinum toxin A, of 40% in the PD-like and 57% in the ET-like groups, however, was approximately twice that of placebo. In conclusion, botulinum toxin A exerts a modest tremorlytic effect, however the dose, and its distribution over the sites injected, need to be optimised to minimise focal weakness.

Distinguishing general concepts from individuals: an automatic coarse-grained classifier

Named entity recognizers are unable to distinguish if a term is a general concept as "scientist" or an individual as "Einstein". In this paper we explore the possibility to reach this goal combining two basic approaches: (i) Super Sense Tagging (SST) and (ii) YAGO. Thanks to these two powerful tools we could automatically create a corpus set in order to train the SuperSense Tagger. The general F1 is over 76% and the model is publicly available.

Epidemiology of fungal infections in liver transplant recipients: a six-year study of a large Brazilian liver transplantation centre

Liver transplant seems to be an effective option to prolong survival in patients with end-stage liver disease, although it still can be followed by serious complications. Invasive fungal infections (ifi) are related to high rates of morbidity and mortality. The epidemiology of fungal infections in Brazilian liver transplant recipients is unknown. The aim of this observational and retrospective study was to determine the incidence and epidemiology of fungal infections in all patients who underwent liver transplantation at Albert Einstein Israeli Hospital between 2002-2007. A total of 596 liver transplants were performed in 540 patients. Overall, 77 fungal infections occurred in 68 (13%) patients. Among the 77 fungal infections, there were 40 IFI that occurred in 37 patients (7%). Candida and Aspergillus species were the most common etiologic agents. Candida species accounted for 82% of all fungal infections and for 67% of all IFI, while Aspergillus species accounted for 9% of all fungal infections and for 17% of all IFI. Non-albicans Candida species were the predominant Candida isolates. Invasive aspergillosis tended to occur earlier in the post-transplant period. These findings can contribute to improve antifungal prophylaxis and therapy practices in Brazilian centres.

Time-Delayed Theory of the Neolithic Transition in Europe

The classical wave-of-advance model of the neolithic transition (i.e., the shift from hunter-gatherer to agricultural economies) is based on Fisher's reaction-diffusion equation. Here we present an extension of Einstein's approach to Fickian diffusion, incorporating reaction terms. On this basis we show that second-order terms in the reaction-diffusion equation, which have been neglected up to now, are not in fact negligible but can lead to important corrections. The resulting time-delayed model agrees quite well with observations