Infinitely many periodic orbits for the rhomboidal five-body problem

We prove the existence of infinitely many symmetric periodic orbits for a regularized rhomboidal five-body problem with four small masses placed at the vertices of a rhombus centered in the fifth mass. The main tool for proving the existence of such periodic orbits is the analytic continuation method of Poincaré together with the symmetries of the problem. © 2006 American Institute of Physics.

Double-Antiprism Central Configurations of the 3n-Body Problem

Abstract In this paper we study numerically a new type of central configurations of the 3n-body problem with equal masses which consist of three n-gons contained in three planes z = 0 and z = ±β = 0. The n-gon on z = 0 is scaled by a factor α and it is rotated by an angle of π/n with respect to the ones on z = ±β. In this kind of configurations, the masses on the planes z = 0 and z = β are at the vertices of an antiprism with bases of different size. The same occurs with the masses on z = 0 and z = −β. We call this kind of central configurations double-antiprism central configurations. We will show the existence of central configurations of this type.

Holographic optical tweezers combined with back-focal-plane displacement detection

A major problem with holographic optical tweezers (HOTs) is their incompatibility with laser-based position detection methods, such as back-focal-plane interferometry (BFPI). The alternatives generally used with HOTs, like high-speed video tracking, do not offer the same spatial and temporal bandwidths. This has limited the use of this technique in precise quantitative experiments. In this paper, we present an optical trap design that combines digital holography and back-focal-plane displacement detection. We show that, with a particularly simple setup, it is possible to generate a set of multiple holographic traps and an additional static non-holographic trap with orthogonal polarizations and that they can be, therefore, easily separated for measuring positions and forces with the high positional and temporal resolutions of laser-based detection. We prove that measurements from both polarizations contain less than 1% crosstalk and that traps in our setup are harmonic within the typical range. We further tested the instrument in a DNA stretching experiment and we discuss an interesting property of this configuration: the small drift of the differential signal between traps.

A Sequential Allocation Problem: The Asymptotic Distribution of Resources

In this paper we consider a sequential allocation problem with n individuals. The first individual can consume any amount of some endowment leaving the remaining for the second individual, and so on. Motivated by the limitations associated with the cooperative or non-cooperative solutions we propose a new approach. We establish some axioms that should be satisfied, representativeness, impartiality, etc. The result is a unique asymptotic allocation rule. It is shown for n = 2; 3; 4; and a claim is made for general n. We show that it satisfies a set of desirable properties. Key words: Sequential allocation rule, River sharing problem, Cooperative and non-cooperative games, Dictator and ultimatum games. JEL classification: C79, D63, D74.

Group preference structures in AHP–group decision making

This paper presents a procedure that allows us to determine the preference structures(PS) associated to each of the different groups of actors that can be identified in a groupdecision making problem with a large number of individuals. To that end, it makesuse of the Analytic Hierarchy Process (AHP) (Saaty, 1980) as the technique to solvediscrete multicriteria decision making problems. This technique permits the resolutionof multicriteria, multienvironment and multiactor problems in which subjective aspectsand uncertainty have been incorporated into the model, constructing ratio scales correspondingto the priorities relative to the elements being compared, normalised in adistributive manner (wi = 1). On the basis of the individuals’ priorities we identifydifferent clusters for the decision makers and, for each of these, the associated preferencestructure using, to that end, tools analogous to those of Multidimensional Scaling.The resulting PS will be employed to extract knowledge for the subsequent negotiationprocesses and, should it be necessary, to determine the relative importance of thealternatives being compared using anyone of the existing procedures

Proceso de transformación de las concepciones del profesorado sobre la resolución de problemas matemáticos

The aim of this study is to analyze the transformation of Primary School teachers’ conceptions about mathematical problem solving. We performed a study with 18 teachers from three public schools: in each class (from 1º to 6º) there were two interventions, and we were interviewed teachers before and after them. The results have show identified changes in: 1) teacher’s expectations about students’ abilities; classroom management; perception of diversity; mathematical strategies used by students; communication in the classroom; causes of the problems encountered; and relevance process of problem solving in mathematics teaching. The transformation of teachers’ conceptions is due to the following factors: a) awareness of the practice; b) systematic reflection; c) the contrast between different ways to work solving problems in math class

L' Ensenyament per tasques: programació d'una assignatura de traducció de l'alemany a l'espanyol

In this work we present a proposal for a course in translation from German into Spanish following the task based approach as known in second language acquisition. The aim is to improve the translation competence of translation students. We depart from the hypothesis that some students select inapropiate translation strategies when faced with certain translation problems leading them to translation errors. In order to avoid these translation errors originated by wrong application of such strategies we propose a didactic method which helps to prevent them by a) raising awareness of the different subcompetences required while translating, b) improving the ability to identify translation problems and relate them to the different subcompetences and c) enhancing the use of the most adequate strategy according to the characteristics of each problem. With regard to translation and how translation competence is acquired our work follows the communicative approach to translation theory as defended among others by Hatim & Mason (1990), Lörscher (1992) and Kiraly (1995), where translation is seen as a communicative activity which can be analized from a psycholinguistic perspective. In this sense we give operative definitions for what we understand by “translation problem”, “translation strategy”, “translation error”, “translation competence” and “translation”. Our approach to didactics adapts recent developments in Second Language Teaching within the communicative paradigm as is the task based approach by Nunan (1989) acquisition to translation. Fitting the recquirements of this pedagogic approach we present a planning for a translation course which is compatible with present translation studies.

Modelo de un grupo de robots colaboradores cazadores

El nombre d'aplicacions dels microrobots en biomedicina creix a mesura que el seu desenvolupament avança. Entre elles hi ha les consistents a examinar cèl·lules amb microrobots cooperants. En aquest treball es presenta un prototip a escala d'aquest problema, convenientment simplificat: dos robots tracten d'agafar una pilota que representa la cèl·lula que s'examina. Com a resultat, s'ha obtingut un algorisme deliberatiu per a la resolució d'aquest problema amb robots homogenis.

Estudi de comportaments socials amb eixams de robots reconfigurables

Els eixams de robots distribuïts representen tot un món de possibilitats al camp de la microrobòtica, però existeixen pocs estudis que n'analitzin els comportaments socials i les interaccions entre robots autònoms distribuïts. Aquests comportaments han de permetre assolir de la manera més efectiva possible un bon resultat. Prenent com a base l'objectiu esmentat, aquest treball detalla diferents polítiques de cerca i de reconfiguració dels robots i estudia els seus comportaments per tal de determinar quins d'ells són més útils per solucionar un problema concret amb les plagues d'erugues i corcs als camps de cigroneres.

Optimal exponent heat balance and refined integral methods applied to Stefan problems

When using a polynomial approximating function the most contentious aspect of the Heat Balance Integral Method is the choice of power of the highest order term. In this paper we employ a method recently developed for thermal problems, where the exponent is determined during the solution process, to analyse Stefan problems. This is achieved by minimising an error function. The solution requires no knowledge of an exact solution and generally produces significantly better results than all previous HBI models. The method is illustrated by first applying it to standard thermal problems. A Stefan problem with an analytical solution is then discussed and results compared to the approximate solution. An ablation problem is also analysed and results compared against a numerical solution. In both examples the agreement is excellent. A Stefan problem where the boundary temperature increases exponentially is analysed. This highlights the difficulties that can be encountered with a time dependent boundary condition. Finally, melting with a time-dependent flux is briefly analysed without applying analytical or numerical results to assess the accuracy.

On Strategy-proofness and symmetric single-peakedness

We characterize the class of strategy-proof social choice functions on the domain of symmetric single-peaked preferences. This class is strictly larger than the set of generalized median voter schemes (the class of strategy-proof and tops-only social choice functions on the domain of single-peaked preferences characterized by Moulin (1980)) since, under the domain of symmetric single-peaked preferences, generalized median voter schemes can be disturbed by discontinuity points and remain strategy-proof on the smaller domain. Our result identifies the specific nature of these discontinuities which allow to design non-onto social choice functions to deal with feasibility constraints.

An efficient use of virtualization in grid/cloud environments

Grid is a hardware and software infrastructure that provides dependable, consistent, pervasive, and inexpensive access to high-end computational resources. Grid enables access to the resources but it does not guarantee any quality of service. Moreover, Grid does not provide performance isolation; job of one user can influence the performance of other user’s job. The other problem with Grid is that the users of Grid belong to scientific community and the jobs require specific and customized software environment. Providing the perfect environment to the user is very difficult in Grid for its dispersed and heterogeneous nature. Though, Cloud computing provide full customization and control, but there is no simple procedure available to submit user jobs as in Grid. The Grid computing can provide customized resources and performance to the user using virtualization. A virtual machine can join the Grid as an execution node. The virtual machine can also be submitted as a job with user jobs inside. Where the first method gives quality of service and performance isolation, the second method also provides customization and administration in addition. In this thesis, a solution is proposed to enable virtual machine reuse which will provide performance isolation with customization and administration. The same virtual machine can be used for several jobs. In the proposed solution customized virtual machines join the Grid pool on user request. Proposed solution describes two scenarios to achieve this goal. In first scenario, user submits their customized virtual machine as a job. The virtual machine joins the Grid pool when it is powered on. In the second scenario, user customized virtual machines are preconfigured in the execution system. These virtual machines join the Grid pool on user request. Condor and VMware server is used to deploy and test the scenarios. Condor supports virtual machine jobs. The scenario 1 is deployed using Condor VM universe. The second scenario uses VMware-VIX API for scripting powering on and powering off of the remote virtual machines. The experimental results shows that as scenario 2 does not need to transfer the virtual machine image, the virtual machine image becomes live on pool more faster. In scenario 1, the virtual machine runs as a condor job, so it easy to administrate the virtual machine. The only pitfall in scenario 1 is the network traffic.

Disseny, implementació i avaluació d'algorismes Max-SAT multivaluats

La finalitat d'aquest projecte és definir el problema Max-SAT amb codificació multiavaluada, implementar algorismes exactes de resolució del problema i construir un generador aleatori de problemes que permeti avaluar aquests algorismes.

Autonomous underwater vehicle control using reinforcement learning policy search methods

Autonomous underwater vehicles (AUV) represent a challenging control problem with complex, noisy, dynamics. Nowadays, not only the continuous scientific advances in underwater robotics but the increasing number of subsea missions and its complexity ask for an automatization of submarine processes. This paper proposes a high-level control system for solving the action selection problem of an autonomous robot. The system is characterized by the use of reinforcement learning direct policy search methods (RLDPS) for learning the internal state/action mapping of some behaviors. We demonstrate its feasibility with simulated experiments using the model of our underwater robot URIS in a target following task

Els marges del pensament polític contemporani

La crisi i esfondrament del pensament metafísic heretat de la modernitat deixa la filosofia contemporània davant d'un nou paradigma on el coneixement s’ha de construir prescindint de tota identitat i fonamentació. El meu projecte s’estableix com un recorregut descendent que parteix d’un àmbit concret, com és el del problema de la manca de fonamentació en la filosofia política contemporània, per arribar a la veritable arrel del problema general que no és altre que la mateixa naturalesa del llenguatge filosòfic. El punt de partida és la pregunta sobre la possibilitat d’una filosofia política en termes postmetafísics. La filosofia política, atrapada entre les forces de la tirania unitària del concepte metafísic i la dissolució pràctica en pro de la realitat instrumental, traça ponts cap a l’estètica i la deconstrucció, que tenen com a corol•lari final qüestionar-nos els propis límits del pensament polític. El concepte d’impolític és una sortida deconstructiva a aquest atzucac. Des d’Esposito, Rancière, Nancy, però sobretot Massimo Cacciari, he aprofundit en el paradigma postmetafísic que origina aquesta negació política de la pròpia política, política com els seus límits, relació com a distància i identitat com a silenci. És evident que la clau de volta és l’herència i recepció contemporània de Nietzsche i la seva crítica a la transcendentalitat moderna en el sí de l’elaboració d’un coneixement en un naufragi constant pel fracàs de la síntesi que anhela. És aquesta herència la que ha possibilitat aquest pensament negatiu contemporani, el del joc wittgensteinià, la deconstrucció del valor que queda convertit en el seu propi marge (Derrida). Definim així no només una comunitat política basada en la incommensurabilitat dels seus membres alhora buits de contingut (Musil), sinó un model de llenguatge que és el seu propi silenci, un llenguatge en contínua lluita contra sí mateix. El meu projecte és una relectura d’aquesta veritat no identitària on el concepte de diàleg pren una importància cabdal. La filosofia de la música aquí es presenta com un terreny fèrtil d’eines conceptuals a l’hora de desenvolupar-ho. La música és el llenguatge negatiu que només troba possibilitat en la seva pròpia impossibilitat de contingut sintètic. Més enllà de les referències obligatòries a chönberg i Adorno entre altres, el camí iniciat per Bergson amb la introducció de la temporalitat a la discussió obra la porta al paper de l’esdveniment en aquest discurs sobre la impossibilitat. Tornant a la filosofia, on el propi llenguatge filosòfic es defineix ja com a impossible, l’esdeveniment reobre l’antiga tensió entre l’escriptura i la paraula viva, veritable fonament del problema, i vèrtex de la possibilitat d’aquesta filosofia impossible.