Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates

We prove two-sided inequalities between the integral moduli of smoothness of a function on R d[superscript] / T d[superscript] and the weighted tail-type integrals of its Fourier transform/series. Sharpness of obtained results in particular is given by the equivalence results for functions satisfying certain regular conditions. Applications include a quantitative form of the Riemann-Lebesgue lemma as well as several other questions in approximation theory and the theory of function spaces.

Auschwitz : tres autors per a la memòria.

Introducció esquemàtica a la literatura de l'holocaust i comparació de l'obra de tres autors: Primo Levi, Imre Kertész i Maria Àngels Anglada. S'analitza una obra de cadascun d'ells. Les tres obres parlen de la vida quotidiana dels camps d'extermini nazis, es compara què tenen en comú i les diferències entre les tres, des del punt de vista humà i també dels recursos literaris; es fa referència al fet de crear i de conservar la humanitat en circumstàncies extremes.

Scoring Methods for Ordinal Multidimensional Forced-Choice Items

In most psychological tests and questionnaires, a test score is obtained bytaking the sum of the item scores. In virtually all cases where the test orquestionnaire contains multidimensional forced-choice items, this traditionalscoring method is also applied. We argue that the summation of scores obtained with multidimensional forced-choice items produces uninterpretabletest scores. Therefore, we propose three alternative scoring methods: a weakand a strict rank preserving scoring method, which both allow an ordinalinterpretation of test scores; and a ratio preserving scoring method, whichallows a proportional interpretation of test scores. Each proposed scoringmethod yields an index for each respondent indicating the degree to whichthe response pattern is inconsistent. Analysis of real data showed that withrespect to rank preservation, the weak and strict rank preserving methodresulted in lower inconsistency indices than the traditional scoring method;with respect to ratio preservation, the ratio preserving scoring method resulted in lower inconsistency indices than the traditional scoring method

Weighted Logratio Biplots, Correspondence Analysis and Spectral Maps

Starting with logratio biplots for compositional data, which are based on the principle of subcompositional coherence, and then adding weights, as in correspondence analysis, we rediscover Lewi's spectral map and many connections to analyses of two-way tables of non-negative data. Thanks to the weighting, the method also achieves the property of distributional equivalence

The Effects of government spending on the distribution of consumption

We study the effects of government spending on the distribution of consumption. We find a substantial degree of heterogeneity: consumption increases at the bottom and falls at the top of the distribution, implying a significant temporary reduction of consumption inequality. The effects of the shock display correlations of around -0.7/-0.9 with the percentage of stockholders within the decile. We interpret the results as in line and yielding support to models of limited participation where, while the Ricardian equivalence holds for rich households, for poor household, with no access to capital markets, the Keynesian multiplier is at work.

Implementation of zonal control algorithms in adaptive optical systems with sparse control matrices

Miralls deformables més i més grans, amb cada cop més actuadors estan sent utilitzats actualment en aplicacions d'òptica adaptativa. El control dels miralls amb centenars d'actuadors és un tema de gran interès, ja que les tècniques de control clàssiques basades en la seudoinversa de la matriu de control del sistema es tornen massa lentes quan es tracta de matrius de dimensions tan grans. En aquesta tesi doctoral es proposa un mètode per l'acceleració i la paral.lelitzacó dels algoritmes de control d'aquests miralls, a través de l'aplicació d'una tècnica de control basada en la reducció a zero del components més petits de la matriu de control (sparsification), seguida de l'optimització de l'ordenació dels accionadors de comandament atenent d'acord a la forma de la matriu, i finalment de la seva posterior divisió en petits blocs tridiagonals. Aquests blocs són molt més petits i més fàcils de fer servir en els càlculs, el que permet velocitats de càlcul molt superiors per l'eliminació dels components nuls en la matriu de control. A més, aquest enfocament permet la paral.lelització del càlcul, donant una com0onent de velocitat addicional al sistema. Fins i tot sense paral. lelització, s'ha obtingut un augment de gairebé un 40% de la velocitat de convergència dels miralls amb només 37 actuadors, mitjançant la tècnica proposada. Per validar això, s'ha implementat un muntatge experimental nou complet , que inclou un modulador de fase programable per a la generació de turbulència mitjançant pantalles de fase, i s'ha desenvolupat un model complert del bucle de control per investigar el rendiment de l'algorisme proposat. Els resultats, tant en la simulació com experimentalment, mostren l'equivalència total en els valors de desviació després de la compensació dels diferents tipus d'aberracions per als diferents algoritmes utilitzats, encara que el mètode proposat aquí permet una càrrega computacional molt menor. El procediment s'espera que sigui molt exitós quan s'aplica a miralls molt grans.

Les traduccions de Carles Riba i Marià Manent al Corpus Literari Digital

Els objectius del projecte “Les traduccions de Carles Riba i Marià Manent al Corpus Literari Digital” són diversos: d’una banda, digitalitzar totes les edicions originals de les traduccions publicades per Carles Riba i Marià Manent; d’altra banda, fer un inventari de tots els textos continguts en aquestes traduccions (de poesia, de narrativa i de teatre); i finalment, introduir els registres dins la plataforma del Corpus Literari Digital de la Càtedra Màrius Torres. La digitalització ha permès de preservar digitalment el patrimoni literari constituït per aquestes traduccions de dos dels autors i traductors més importants de la literatura catalana del segle XX. L’inventari dels textos de cadascun dels seus volums de traduccions (poemes, narracions i obres de teatre) ha permès de constituir una base de dades en la qual es registren totes les versions diferents de cadascun dels textos traduïts que Riba i Manent van anar revisant al llarg de la seva vida. Finalment, la inclusió d’aquests registres bibliogràfics dins la plataforma del Corpus Literari Digital de la Càtedra Màrius Torres permet la seva consulta en línia i la possibilitat de trobar, per a cada text, totes les seves versions i de visualitzar la imatge del document original, la qual cosa facilitarà als investigadors l’estudi de la història textual de les traduccions, la de l’evolució de la llengua literària dels autors, entre altres possibilitats.

Suitability of GRIND-based principal properties for the description of molecular similarity and ligand-based virtual screening

The information provided by the alignment-independent GRid Independent Descriptors (GRIND) can be condensed by the application of principal component analysis, obtaining a small number of principal properties (GRIND-PP), which is more suitable for describing molecular similarity. The objective of the present study is to optimize diverse parameters involved in the obtention of the GRIND-PP and validate their suitability for applications, requiring a biologically relevant description of the molecular similarity. With this aim, GRIND-PP computed with a collection of diverse settings were used to carry out ligand-based virtual screening (LBVS) on standard conditions. The quality of the results obtained was remarkable and comparable with other LBVS methods, and their detailed statistical analysis allowed to identify the method settings more determinant for the quality of the results and their optimum. Remarkably, some of these optimum settings differ significantly from those used in previously published applications, revealing their unexplored potential. Their applicability in large compound database was also explored by comparing the equivalence of the results obtained using either computed or projected principal properties. In general, the results of the study confirm the suitability of the GRIND-PP for practical applications and provide useful hints about how they should be computed for obtaining optimum results.

Contrasting the form and use of reformulation markers

This paper deals with the form and use of reformulation markers in research papers written in English, Spanish and Catalan. Considering the form and frequency of themarkers, English papers tends to prefer simple fixed markers and includes less reformulators than Spanish and Catalan. On the contrary, formal Catalan and Spanish papers include more markers, some of which are complex and allow for some structural variability. As for use, reformulation markers establish dynamic relationships between portions of discourse which can be identified in our corpus with expansion, reduction, and permutation. The analysis of the corpus shows that English authors usually reformulate to add more information to the concept (expansion), whereas Catalan and Spanish authors reduce the contents or the implicatures of the previous formulation more frequently than English.

Ecologies of Value in a Wall Street Trading Room

Our task in this paper is to analyze the organization of trading in the era of quantitative finance. To do so, we conduct an ethnography of arbitrage, the trading strategy that best exemplifies finance in the wake of the quantitative revolution. In contrast to value and momentum investing, we argue, arbitrage involves an art of association-the construction of equivalence (comparability) of properties across different assets. In place of essential or relational characteristics, the peculiar valuation that takes place in arbitrage is based on an operation that makes something the measure of something else-associating securities to each other. The process of recognizing opportunities and the practices of making novel associations are shaped by the specific socio-spatial and socio-technical configurations of the trading room. Calculation is distributed across persons and instruments as the trading room organizes interaction among diverse principles of valuation.

Música i fotografia

La relació entre la música i les arts plàstiques s'ha donat des de diverses perspectives al llarg de la història. Després d'analitzar en quins aspectes i amb quina finalitat s'han basat aquestes relacions, proposo una nova aproximació entre la música i la fotografia, basada en els paràmetres morfològics i formals d'aquesta per buscar una relació el més objectiva possible. A partir d'aquesta equivalència defenso la idea de que el coneixement del llenguatge d'una altra forma artística ens pot permetre enriquir el nostre propi llenguatge, aplicant en aquest cas a la música, aquells elements característics de la fotografia. Finalment poso en pràctica aquesta equivalència, per experimentar fins a quin punt ens pot ajudar a enriquir el nostre llenguatge.

Bargaining, coalitions and competition

We study a decentralized matching model in a large exchange economy,in which trade takes place through non--cooperative bargaining in coalitionsof finite size. Under essentially the same conditions of core equivalence, we show that the strategic equilibrium outcomes of our model coincide with theWalrasian allocations of the economy. Our method of proof exploits equivalenceresults between the core and Walrasian equilibria. Our model relaxes differentiability and convexity of preferences thereby covering the caseof indivisible goods.

Ratio maps and correspondence analysis

We compare two methods for visualising contingency tables and developa method called the ratio map which combines the good properties of both.The first is a biplot based on the logratio approach to compositional dataanalysis. This approach is founded on the principle of subcompositionalcoherence, which assures that results are invariant to considering subsetsof the composition. The second approach, correspondence analysis, isbased on the chi-square approach to contingency table analysis. Acornerstone of correspondence analysis is the principle of distributionalequivalence, which assures invariance in the results when rows or columnswith identical conditional proportions are merged. Both methods may bedescribed as singular value decompositions of appropriately transformedmatrices. Correspondence analysis includes a weighting of the rows andcolumns proportional to the margins of the table. If this idea of row andcolumn weights is introduced into the logratio biplot, we obtain a methodwhich obeys both principles of subcompositional coherence and distributionalequivalence.

Quotient spaces of boundedly rational types

By identifying types whose low-order beliefs up to level li about the state of nature coincide, weobtain quotient type spaces that are typically smaller than the original ones, preserve basic topologicalproperties, and allow standard equilibrium analysis even under bounded reasoning. Our Bayesian Nash(li; l-i)-equilibria capture players inability to distinguish types belonging to the same equivalence class.The case with uncertainty about the vector of levels (li; l-i) is also analyzed. Two examples illustratethe constructions.

Predestination and the Protestant ethic

This paper shows an equivalence result between the utility functions of secularagents who abide by a moral obligation to accumulate wealth and those of religiousagents who believe that salvation is immutable and preordained by God. Thisresult formalizes Weber's renowned thesis on the connection between the worldlyasceticism of Protestants and the religious premises of Calvinism. Furthermore,ongoing economies are often modeled with preference relations such as "Keeping upwith the Joneses" which are not associated with religion. Our results relate thesesecular economies of today and economies of the past shaped by religious ideas.