Contribució de Pietro Mengoli al concepte de límit a través d'una teoria de les quasi proporcions

El treball de recerca que aquí es presenta és l’estudi dels tres primers "elementa" de la "Geometriae Speciosae Elementa" (Bolonya, 1659) de Pietro Mengoli (1625-1686), que fou possiblement el deixeble més original de Bonaventura Cavalieri (1598-1647). En aquesta obra Mengoli desenvolupa un nou mètode per calcular quadratures utilitzant una teoria numèrica anomenada de “quasi proporcions”. Mengoli fonamenta les quasi proporcions en la teoria de proporcions del llibre cinquè dels "Elements" d’Euclides, a la qual hi afegeix unes nocions originals: raó “quasi nul•la”, “quasi infinita” i “quasi un nombre”. Una exhaustiva anàlisi d’aquesta teoria demostra l’originalitat de l’obra de Mengoli tant pel que fa a la seva forma d’exposició com pel que fa al seu contingut.

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.

Interpretación y traducción de texto y matemáticas en Braille escrito a máquina

El trabajo expuesto en la presente memoria, forma parte de un proyecto de colaboración entre el Centro de Visión por Computador de la UAB y el Centro Joan Amades (ONCE), cuyo objetivo es la creación de recursos educativos que faciliten la integración de niños invidentes en las aulas. Se presenta el proceso de implementación de un intérprete y traductor de documentos escritos en Braille con contenido matemático y de texto, que permite a un profesor que no conozca el sistema Braille, la lectura de documentos creados por alumnos invidentes. Dicho intérprete forma parte de una herramienta que permite el reconocimiento de documentos escritos con una máquina Perkins.

A Sensitivity analysis of poverty definitions

We conduct a sensitivity analysis of several estimators related to household income, to explore how some details of the definitions of the variables concerned influence the values of the common estimates, such as the mean, median and (poverty) rates. The purpose of this study is to highlight that some of the operational definitions entail an element of arbitrariness which leaves an undesirable stamp on the inferences made. The analyses use both a cross-sectional and a longitudinal (panel) component of the EU-SILC database.

La despersonalización de sujeto de los derechos en J.J. Rousseau

Aquest treball analitza els trets més característics del pensament de J.J. Rousseau centrant l’ atenció en el Discurs sobre l’ origen de les desigualtats entre els homes. Mitjançant un extens comentari del Discurs es proposa una revisió dels principis antropològics que han fundat la filosofia política rousseauniana. I s’ entra a examinar algunes Declaracions de Drets sota la hipòtesi de trobar algun dels trets d’ aquesta concepció antropològica en el subjecte d’ aquells Drets.

Análisis de las de las funcionalidades 2.0 ofrecidas por los repositorios españoles

Els Repositoris Institucionals suposen un element nou en l'entorn universitari pel que fa a la comunicació científica i a la presència digital de la producció de les universitats. Però l'entorn digital evoluciona molt ràpidament, així com els diferents agents implicats en la publicació científica. El canvi més important en la comunicació web que s'ha donat en els últims anys ha estat l'aparició dels serveis englobats sota l'etiqueta Web 2.0 en què s'inclouen diferents serveis per compartir enllaços, objectes digitals, gestionar relacions socials, reutilitzar informació, etc. Algunes publicacions científiques ja estan oferint aquest tipus de serveis. El present treball analitza el grau d'implantació d'aquest tipus de serveis en l'àmbit dels dipòsits institucionals espanyols. Per això en primer lloc s'identifiquen els tipus de serveis considerats 2.0 i que poden ser d'utilitat per a la comunicació científica. En segon lloc es comptabilitza quines d'aquestes possibilitats son ofertes pels repositoris i per últim s'analitzen els resultats per a comprovar les accions realitzades i identificar les possibles línies de millora.

Performance assessment and league tables. Comparing like with like.

We formulate performance assessment as a problem of causal analysis and outline an approach based on the missing data principle for its solution. It is particularly relevant in the context of so-called league tables for educational, health-care and other public-service institutions. The proposed solution avoids comparisons of institutions that have substantially different clientele (intake).

Performance assessment and league tables. Comparing like with like

We formulate performance assessment as a problem of causal analysis and outline an approach based on the missing data principle for its solution. It is particularly relevant in the context of so-called league tables for educational, health-care and other public-service institutions. The proposed solution avoids comparisons of institutions that have substantially different clientele (intake).

A house price index defined in the potential outcomes framework

Current methods for constructing house price indices are based on comparisons of sale prices of residential properties sold two or more times and on regression of the sale prices on the attributes of the properties and of their locations. The two methods have well recognised deficiencies, selection bias and model assumptions, respectively. We introduce a new method based on propensity score matching. The average house prices for two periods are compared by selecting pairs of properties, one sold in each period, that are as similar on a set of available attributes (covariates) as is feasible to arrange. The uncertainty associated with such matching is addressed by multiple imputation, framing the problem as involving missing values. The method is applied to aregister of transactions ofresidential properties in New Zealand and compared with the established alternatives.

An assessment of empirical Bayes and composite estimators for small areas

We compare a set of empirical Bayes and composite estimators of the population means of the districts (small areas) of a country, and show that the natural modelling strategy of searching for a well fitting empirical Bayes model and using it for estimation of the area-level means can be inefficient.

Small-area estimation with spatial similarity

A class of composite estimators of small area quantities that exploit spatial (distancerelated)similarity is derived. It is based on a distribution-free model for the areas, but theestimators are aimed to have optimal design-based properties. Composition is applied alsoto estimate some of the global parameters on which the small area estimators depend.It is shown that the commonly adopted assumption of random effects is not necessaryfor exploiting the similarity of the districts (borrowing strength across the districts). Themethods are applied in the estimation of the mean household sizes and the proportions ofsingle-member households in the counties (comarcas) of Catalonia. The simplest version ofthe estimators is more efficient than the established alternatives, even though the extentof spatial similarity is quite modest.

Inference with the lognormal distribution

Several estimators of the expectation, median and mode of the lognormal distribution are derived. They aim to be approximately unbiased, efficient, or have a minimax property in the class of estimators we introduce. The small-sample properties of these estimators are assessed by simulations and, when possible, analytically. Some of these estimators of the expectation are far more efficient than the maximum likelihood or the minimum-variance unbiased estimator, even for substantial samplesizes.

Monitoring the university admissions process in Spain

The examinations taken by high-school graduates in Spain and the role ofthe examination in the university admissions process are described. Thefollowing issues arising in the assessment of the process are discussed:reliability of grading, comparability of the grades and scores(equating),maintenance of standards, and compilation and use of the grading process,and their integration in the operational grading are proposed. Variousschemes for score adjustment are reviewed and feasibility of theirimplementation discussed. The advantages of pretesting of items and ofempirical checks of experts' judgements are pointed out. The paperconcludes with an outline of a planned reorganisation of the highereducation in Spain, and with a call for a comprehensive programme ofempirical research concurrent with the operation of the examination andscoring system.

A study of the labour market trajectories in the Grand Duchy of Luxembourg

We present an analysis of the register of all unemployment episodes in the Grand Duchy of Luxembourg over a recent period of 55 months. We apply propensity score matching to account forthe systematic differences among the groups of subjects (registrants) and unemployment spells.We devise graphical and tabular summaries for describing the sequences of employment states ofthe members of the labour force who register at Agence pour le d?veloppement de l'emploi, theLuxembourg Public Unemployment Agency. Some employment-related information about themis collected by linking their records to the national register of social security contributions, maintained by Inspection g?n?rale de la s?curit? sociale. A class of univariate indices for characterisingthe sequences of labour force states is defined.

Hereditary hepatic and systemic amyloidosis caused by a new deletion/insertion mutation in the apolipoprotein AI gene.

We report a Spanish family with autosomal-dominant non-neuropathic hereditary amyloidosis with a unique hepatic presentation and death from liver failure, usually by the sixth decade. The disease is caused by a previously unreported deletion/insertion mutation in exon 4 of the apolipoprotein AI (apoAI) gene encoding loss of residues 60-71 of normal mature apoAI and insertion at that position of two new residues, ValThr. Affected individuals are heterozygous for this mutation and have both normal apoAI and variant molecules bearing one extra positive charge, as predicted from the DNA sequence. The amyloid fibrils are composed exclusively of NH2-terminal fragments of the variant, ending mainly at positions corresponding to residues 83 and 92 in the mature wild-type sequence. Amyloid fibrils derived from the other three known amyloidogenic apoAI variants are also composed of similar NH2-terminal fragments. All known amyloidogenic apoAI variants carry one extra positive charge in this region, suggesting that it may be responsible for their enhanced amyloidogenicity. In addition to causing a new phenotype, this is the first deletion mutation to be described in association with hereditary amyloidosis and it significantly extends the value of the apoAI model for investigation of molecular mechanisms of amyloid fibrillogenesis.