A mathematical excursion: From the three-door problem to a Cantor-type perfect set

We start with a generalization of the well-known three-door problem:the n-door problem. The solution of this new problem leads us toa beautiful representation system for real numbers in (0,1] as alternated series, known in the literature as Pierce expansions. A closer look to Pierce expansions will take us to some metrical properties of sets defined through the Pierce expansions of its elements. Finally, these metrical properties will enable us to present 'strange' sets, similar to the classical Cantor set.

Individual Differences in True and False Memory Retrieval Are Related to White Matter Brain Microstructure

We sometimes vividly remember things that did not happen, a phenomenon with general relevance, not only in the courtroom. It is unclear to what extent individual differences in false memories are driven by anatomical differences in memory-relevant brain regions. Here we show in humans that microstructural properties of different white matter tracts as quantified using diffusion tensor imaging are strongly correlated with true and false memory retrieval. To investigate these hypotheses, we tested a large group of participants in a version of the Deese-Roediger-McDermott paradigm (recall and recognition) and subsequently obtained diffusion tensor images. A voxel-based whole-brain level linear regression analysis was performedto relatefractional anisotropyto indices oftrue andfalse memory recall and recognition. True memory was correlated to diffusion anisotropy in the inferior longitudinal fascicle, the major connective pathway of the medial temporal lobe, whereas a greater proneness to retrieve false items was related to the superior longitudinal fascicle connecting frontoparietal structures. Our results show that individual differences in white matter microstructure underlie true and false memory performance.

Spiders on a Hot Volcanic Roof: Colonisation Pathways and Phylogeography of the Canary Islands Endemic Trap-Door Spider Titanidiops canariensis (Araneae, Idiopidae)

Studies conducted on volcanic islands have greatly contributed to our current understanding of how organisms diversify. The Canary Islands archipelago, located northwest of the coast of northern Africa, harbours a large number of endemic taxa. Because of their low vagility, mygalomorph spiders are usually absent from oceanic islands. The spider Titanidiops canariensis, which inhabits the easternmost islands of the archipelago, constitutes an exception to this rule. Here, we use a multi-locus approach that combines three mitochondrial and four nuclear genes to investigate the origins and phylogeography of this remarkable trap-door spider. We provide a timeframe for the colonisation of the Canary Islands using two alternative approaches: concatenation and species tree inference in a Bayesian relaxed clock framework. Additionally, we investigate the existence of cryptic species on the islands by means of a Bayesian multi-locus species delimitation method. Our results indicate that T. canariensis colonised the Canary Islands once, most likely during the Miocene, although discrepancies between the timeframes from different approaches make the exact timing uncertain. A complex evolutionary history for the species in the archipelago is revealed, which involves two independent colonisations of Fuerteventura from the ancestral range of T. canariensis in northern Lanzarote and a possible back colonisation of southern Lanzarote. The data further corroborate a previously proposed volcanic refugium, highlighting the impact of the dynamic volcanic history of the island on the phylogeographic patterns of the endemic taxa. T. canariensis includes at least two different species, one inhabiting the Jandia peninsula and central Fuerteventura and one spanning from central Fuerteventura to Lanzarote. Our data suggest that the extant northern African Titanidiops lineages may have expanded to the region after the islands were colonised and, hence, are not the source of colonisation. In addition, T. maroccanus may harbour several cryptic species.

Developmental Readiness in the Understanding of Own and Other’s False Beliefs

One of the most important milestones in the development of theory of mind is the understanding of false beliefs. This study compares children’s understanding of representational change and others’ false beliefs and evaluates the effectiveness of an appearance-reality training for improving children’s false belief understanding. A total of 78 children ranging in age from 41 to 47 months were trained in three sessions and evaluated in a pretest and in a posttest. The results show that for children it is easier to understand representational change than false beliefs in others, and that the improvement after training was greater when starting from a higher score in the pretest. The implications of this for training in false belief understanding are discussed

Firm Size and Short-Term Dynamics in Aggregate Entry and Exit

Much of the research on industry dynamics focuses on the interdependence between the sectorial rates of entry and exit. This paper argues that the size of firms and the reaction-adjustment period are important conditions missed in this literature. I illustrate the effects of this omission using data from the Spanish manufacturing industries between 1994 and 2001. Estimates from systems of equations models provide evidence of a conical revolving door phenomenon and of partial adjustments in the replacement-displacement of large firms. KEYWORDS: aggregation, industry dynamics, panel data, symmetry, simultaneity. JEL CLASSIFICATION: C33, C52, L60, L11

Candidate stability and voting correspondences

We study the incentives of candidates to enter or to exit elections in order to strategically affect the outcome of a voting correspondence. We extend the results of Dutta, Jackson and Le Breton (2000), who only considered single-valued voting procedures by admitting that the outcomes of voting may consist of sets of candidates. We show that, if candidates form their preferences over sets according to Expected Utility Theory and Bayesian updating, every unanimous and non dictatorial voting correspondence violates candidate stability. When candidates are restricted to use even chance prior distributions, only dictatorial or bidictatorial rules are unanimous and candidate stable. We also analyze the implications of using other extension criteria to define candidate stability that open the door to positive results.

Spillover effects of public capital formation: evidence from the spanish regions

Maybe because of the inconclusive nature of the results on the impact of public capital on output at the regional level, the issue of the possible existence of the regional spillovers from public capital formation has received little attention. The objective of this paper is to provide evidence on the possible existence of such spillovers. We consider the case of Spain and its seventeen regions. Our methodological approach consists in estimating an aggregate VAR model for Spain as well as seventeen region-specific VAR models in which both capital installed in the region and capital installed outside the region are allowed to play a role in enhancing regional output. The estimation results can be summarized as follows. The aggregate effects of public capital formation in Spain are important. They cannot, however, be captured in their entirety by the direct effects in each region from public capital installed in the region itself. When for each region both the capital installed in the region and the capital installed outside the region are considered the total disaggregated effect from the seventeen regional models are very much in line with the aggregate results. Furthermore, the aggregate effect seems to be due in almost equal parts to the direct and spillover effects of public capital formation. Ultimately, this paper establishes the relevance of both capital installed in each region and spillover effects in the understanding of the regional decomposition of the aggregate effects of public capital formation. In doing so it opens the door to some tantalizing and potentially highly charged research issues in terms of the determination of the optimal location of public investment projects.

Análisis de los residuos sólidos generados en áreas administrativas, académicas, bibliotecas y cómputos, de ciudad universitària en la UMSNH, Michoacán, México

El proyecto se enmarca dentro de Plan Ambiental Institucional (PAI) de la Universidad Michoacana de San Nicolás de Hidalgo (UMSNH), México, en lo referente a la gestión de residuos y tiene por finalidad analizar la tipología y composición de los residuos que se generan en algunas de las áreas de Ciudad Universitaria (CU). Para esto se realizó una metodología de recogida no selectiva de residuos puerta a puerta que se estructuró en dos fases, la primera, con el objetivo de obtener toda la información sobre el número y tipo de espacios de los edificios para luego elaborar y llevar a cabo el muestreo de los residuos, y la segunda, que se centró en la captura informática y gestión de los pesos de los mismos. De los datos obtenidos se concluyó que los residuos de mayor peso muestreado fueron el papel, la materia orgánica, el cartón y el vidrio transparente, los residuos de mayor generación per cápita fueron el papel, cartucho de impresora, CD y disquete. Finalmente, se concluye que la UMSNH no da tratamiento a los residuos que al ser depositados al aire libre contaminan su medio ambiente. Reciclándolos podrían obtenerse no sólo beneficios ambientales sino también económicos, que disminuirían el costo del reciclado devolviendo los residuos al ciclo productivo.

Individual versus group strategy-proofness: when do they coincide?

A social choice function is group strategy-proof on a domain if no group of agents can manipulate its final outcome to their own benefit by declaring false preferences on that domain. Group strategy-proofness is a very attractive requirement of incentive compatibility. But in many cases it is hard or impossible to find nontrivial social choice functions satisfying even the weakest condition of individual strategy-proofness. However, there are a number of economically significant domains where interesting rules satisfying individual strategy-proofness can be defined, and for some of them, all these rules turn out to also satisfy the stronger requirement of group strategy-proofness. This is the case, for example, when preferences are single-peaked or single-dipped. In other cases, this equivalence does not hold. We provide sufficient conditions defining domains of preferences guaranteeing that individual and group strategy-proofness are equivalent for all rules defined on the

The Electoral Determinants of Collective Remittances: The Mexican 3x1 Program for Migrants

The 3x1 Program for Migrants is a matching grant scheme that seeks to direct the money sent by migrant organizations abroad to the provision of public and social infrastructure, and to productive projects in migrants’ communities of origin. To do so, the municipal, state, and federal administrations match the amount sent by hometown associations by 3 to 1. This opens the door to the political manipulation of the program. We explore the impact of a particular facet of Mexican political life on the operation of the 3x1: its recent democratization and the increasing political competition at the municipal level. Relying on the literature on redistributive politics, we posit that an increasing number of effective parties in elections may have two different effects. On the one hand, the need to cater to more heterogeneous constituencies may increase the provision of public projects. On the other hand, since smaller coalitions are needed to win elections under tighter competition, fewer public and more private (clientelistic) projects could be awarded. Using a unique dataset on the 3x1 Program for Migrants for over 2,400 municipalities in the period 2002 through 2007, we find a lower provision of public goods in electorally competitive jurisdictions. Thus, we remain sceptical about the program success in promoting public goods in politically competitive locations with high migration levels.

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.

Impactes de l'ús dels iots al Port Esportiu d'Aiguadolç

L’ús d’embarcacions d’esbarjo és una activitat molt extesa a la zona costanera del Garraf. Aquesta activitat origina fluxos energètics i materials els quals, a la vegada, són els productors d’impactes sobre el medi natural i l’entorn portuari. En aquest article es realitza una avaluació d’aquests fluxos (energia, aigua i residus) al Port Esportiu d’Aiguadolç mitjançant indicadors escollits especialment per aquesta finalitat, els quals s’han utilitzat posteriorment per analitzar els impactes que es produeixen al port. D’aquesta manera, a partir dels resultats obtinguts s’han exposat diverses propostes de millora amb l’objectiu de disminuir els impactes generats de l’ús i gaudiment dels iots, emfatitzant especialment en els impactes generats quan aquests es troben amarrats al port. Tenint en compte que no existeixen estudis previs publicats sobre aquesta temàtica, aquest article deixa la porta oberta a l’hora de continuar estudiant la incidència sobre el medi que te l’ús d’embarcacions.

L'aprenentatge basat en problemes (PBL) en la regulació del metabolisme. Desenvolupament del portal per a l'intercanvi d'experiències en PBL en ciències biomèdiques

L’aprenentatge basat en problemes està en fase experimental en tot el món i és objecte d’anàlisi i reflexió en moltes reunions internacionals. Tanmateix, no hi ha massa feina feta en aquesta direcció en el nostre camp més proper. Hem elaborat problemes per l’aprenentatge de la Regulació del Metabolisme i els hem incorporat a un porta virtual (http://www.ub.edu/GID-BBM). La finalitat d’aquesta estratègia és que mitjançant l’aprenentatge basat en problemes reals o simulacions de problemes reals s’aconsegueixi motivar l’alumnat a treballar de forma continuada durant tot el curs. La millora dels resultats acadèmics haurà de ser la conseqüència lògica d’aquest treball. La finalitat última del projecte que hem desenvolupat és preparar l’alumnat per la seva futura activitat professional a on serà molt important i valorat la seva capacitat de resposta davant de diferents problemes

Uranium reserve, nuclear fuel cycle delusion, CO2 emission from the sea, and electricity supply: reflections after the fuel meltdown of Fukushima nuclear power units

The Great Tohoku-Kanto earthquake and resulting tsunami has brought considerable attention to the issue of the construction of new power plants. We argue in this paper, nuclear power is not a sustainable solution to energy problems. First, we explore the stock of uranium-235 and the different schemes developed by the nuclear power industry to exploit this resource. Second, we show that these methods, fast breeder and MOX fuel reactors, are not feasible. Third, we show that the argument that nuclear energy can be used to reduce CO2 emissions is false: the emissions from the increased water evaporation from nuclear power generation must be accounted for. In the case of Japan, water from nuclear power plants is drained into the surrounding sea, raising the water temperature which has an adverse affect on the immediate ecosystem, as well as increasing CO2 emissions from increased water evaporation from the sea. Next, a short exercise is used to show that nuclear power is not even needed to meet consumer demand in Japan. Such an exercise should be performed for any country considering the construction of additional nuclear power plants. Lastly, the paper is concluded with a discussion of the implications of our findings.

Modulacions i desplaçaments rítmics

Modulacions i desplaçaments ens permet endinsar‐nos a la vesant més rítmica de la música, de la mà d’uns quants conceptes teòrics referents a alguns dels recursos utilitzats a la música moderna. A més dels conceptes teòrics també podrem trobar diferents exemples sonors molt representatius. Aquest treball ha de ser una eina d’ajuda per a la comprensió i assimilació d’aquests conceptes, en cap cas ha de ser una dificultat o entrebanc. L’assimilació d’aquests ens pot obrir les portes a una gran quantitat de recursos rítmics, ja sigui a nivell individual com a interpret o a nivell col·lectiu com a banda.