Finite field treatment of vibrational polarizabilities and hyperpolarizabilities: on the role of the Eckart conditions, their implementation, and their use in characterizing key vibrations

In the finite field (FF) treatment of vibrational polarizabilities and hyperpolarizabilities, the field-free Eckart conditions must be enforced in order to prevent molecular reorientation during geometry optimization. These conditions are implemented for the first time. Our procedure facilities identification of field-induced internal coordinates that make the major contribution to the vibrational properties. Using only two of these coordinates, quantitative accuracy for nuclear relaxation polarizabilities and hyperpolarizabilities is achieved in π-conjugated systems. From these two coordinates a single most efficient natural conjugation coordinate (NCC) can be extracted. The limitations of this one coordinate approach are discussed. It is shown that the Eckart conditions can lead to an isotope effect that is comparable to the isotope effect on zero-point vibrational averaging, but with a different mass-dependence

Methodology for studying the numerical speed of sound in finite differences schemes

The space and time discretization inherent to all FDTD schemesintroduce non-physical dispersion errors, i.e. deviations ofthe speed of sound from the theoretical value predicted bythe governing Euler differential equations. A generalmethodologyfor computing this dispersion error via straightforwardnumerical simulations of the FDTD schemes is presented.The method is shown to provide remarkable accuraciesof the order of 1/1000 in a wide variety of twodimensionalfinite difference schemes.

SelenoDB 1.0 : a database of selenoprotein genes, proteins and SECIS elements

Selenoproteins are a diverse group of proteinsusually misidentified and misannotated in sequencedatabases. The presence of an in-frame UGA (stop)codon in the coding sequence of selenoproteingenes precludes their identification and correctannotation. The in-frame UGA codons are recodedto cotranslationally incorporate selenocysteine,a rare selenium-containing amino acid. The developmentof ad hoc experimental and, more recently,computational approaches have allowed the efficientidentification and characterization of theselenoproteomes of a growing number of species.Today, dozens of selenoprotein families have beendescribed and more are being discovered in recentlysequenced species, but the correct genomic annotationis not available for the majority of thesegenes. SelenoDB is a long-term project that aims toprovide, through the collaborative effort of experimentaland computational researchers, automaticand manually curated annotations of selenoproteingenes, proteins and SECIS elements. Version 1.0 ofthe database includes an initial set of eukaryoticgenomic annotations, with special emphasis on thehuman selenoproteome, for immediate inspectionby selenium researchers or incorporation into moregeneral databases. SelenoDB is freely available athttp://www.selenodb.org.

Spinning welfare: The gains from process innovation in cotton and car production

Economists and economic historians want to know how much better life is today than in the past.Fifty years ago economic historians found surprisingly small gains from 19th century US railroads,while more recently economists have found relatively large gains from electricity, computers and cellphones. In each case the implicit or explicit assumption is that researchers were measuring the valueof a new good to society. In this paper we use the same techniques to find the value to society ofmaking existing goods cheaper. Henry Ford did not invent the car, and the inventors of mechanisedcotton spinning in the industrial revolution invented no new product. But both made existing productsdramatically cheaper, bringing them into the reach of many more consumers. That in turn haspotentially large welfare effects. We find that the consumer surplus of Henry Ford s production linewas around 2% by 1923, 15 years after Ford began to implement the moving assembly line, while themechanisation of cotton spinning was worth around 6% by 1820, 34 years after its initial invention.Both are large: of the same order of magnitude as consumer expenditure on these items, and as largeor larger than the value of the internet to consumers. On the social savings measure traditionally usedby economic historians, these process innovations were worth 15% and 18% respectively, makingthem more important than railroads. Our results remind us that process innovations can be at least asimportant for welfare and productivity as the invention of new products.

Finite sample nonparametric tests for linear regressions

We introduce several exact nonparametric tests for finite sample multivariatelinear regressions, and compare their powers. This fills an important gap inthe literature where the only known nonparametric tests are either asymptotic,or assume one covariate only.

Bringing game theory to hypothesis testing: Establishing finite sample bounds on inference

Small sample properties are of fundamental interest when only limited data is avail-able. Exact inference is limited by constraints imposed by speci.c nonrandomizedtests and of course also by lack of more data. These e¤ects can be separated as we propose to evaluate a test by comparing its type II error to the minimal type II error among all tests for the given sample. Game theory is used to establish this minimal type II error, the associated randomized test is characterized as part of a Nash equilibrium of a .ctitious game against nature.We use this method to investigate sequential tests for the di¤erence between twomeans when outcomes are constrained to belong to a given bounded set. Tests ofinequality and of noninferiority are included. We .nd that inference in terms oftype II error based on a balanced sample cannot be improved by sequential sampling or even by observing counter factual evidence providing there is a reasonable gap between the hypotheses.

On equilibria in duopolies with finite strategy spaces

We will call a game a reachable (pure strategy) equilibria game if startingfrom any strategy by any player, by a sequence of best-response moves weare able to reach a (pure strategy) equilibrium. We give a characterizationof all finite strategy space duopolies with reachable equilibria. Wedescribe some applications of the sufficient conditions of the characterization.

Finite horizon bargaining and the consistent field

This paper explores the relationships between noncooperative bargaining games and the consistent value for non-transferable utility (NTU) cooperative games. A dynamic approach to the consistent value for NTU games is introduced: the consistent vector field. The main contribution of the paper is to show that the consistent field is intimately related to the concept of subgame perfection for finite horizon noncooperative bargaining games, as the horizon goes to infinity and the cost of delay goes to zero. The solutions of the dynamic system associated to the consistent field characterize the subgame perfect equilibrium payoffs of the noncooperative bargaining games. We show that for transferable utility, hyperplane and pure bargaining games, the dynamics of the consistent fields converge globally to the unique consistent value. However, in the general NTU case, the dynamics of the consistent field can be complex. An example is constructed where the consistent field has cyclic solutions; moreover, the finite horizon subgame perfect equilibria do not approach the consistent value.

Causal assessment in finite extensive-form games

Two finite extensive-form games are empirically equivalent when theempirical distribution on action profiles generated by every behaviorstrategy in one can also be generated by an appropriately chosen behaviorstrategy in the other. This paper provides a characterization ofempirical equivalence. The central idea is to relate a game's informationstructure to the conditional independencies in the empirical distributionsit generates. We present a new analytical device, the influence opportunitydiagram of a game, describe how such a diagram is constructed for a givenextensive-form game, and demonstrate that it provides a complete summaryof the information needed to test empirical equivalence between two games.

A finite-population revenue management model and a risk-ratio procedure for the joint estimation of population size and parameters

Many dynamic revenue management models divide the sale period into a finite number of periods T and assume, invoking a fine-enough grid of time, that each period sees at most one booking request. These Poisson-type assumptions restrict the variability of the demand in the model, but researchers and practitioners were willing to overlook this for the benefit of tractability of the models. In this paper, we criticize this model from another angle. Estimating the discrete finite-period model poses problems of indeterminacy and non-robustness: Arbitrarily fixing T leads to arbitrary control values and on the other hand estimating T from data adds an additional layer of indeterminacy. To counter this, we first propose an alternate finite-population model that avoids this problem of fixing T and allows a wider range of demand distributions, while retaining the useful marginal-value properties of the finite-period model. The finite-population model still requires jointly estimating market size and the parameters of the customer purchase model without observing no-purchases. Estimation of market-size when no-purchases are unobservable has rarely been attempted in the marketing or revenue management literature. Indeed, we point out that it is akin to the classical statistical problem of estimating the parameters of a binomial distribution with unknown population size and success probability, and hence likely to be challenging. However, when the purchase probabilities are given by a functional form such as a multinomial-logit model, we propose an estimation heuristic that exploits the specification of the functional form, the variety of the offer sets in a typical RM setting, and qualitative knowledge of arrival rates. Finally we perform simulations to show that the estimator is very promising in obtaining unbiased estimates of population size and the model parameters.

Intervenció educativa basada en la promoció dels elements facilitadors del desenvolupament positiu de menors subjectes de mesures judicials

Al llarg dels darrers mesos i amb la participació de bona part del col·lectiu d’educadors i tècnics de medi obert del Departament de Justícia de la Generalitat de Catalunya, s’ha fet un treball d’aprofundiment entorn del paper que tenen els elements facilitadors del desenvolupament positiu dels joves que es troben en mesures penals juvenils, com a veritables desencadenants de processos de millora i d’inclusió social. Hem tractat de fer una classificació i guia per identificar aquests elements i una metodologia concreta per determinar-ne la presència o absència. Finalment, hem intentat, comptant amb l’experiència del col·lectiu , elaborar una guia d’eines i estratègies per a la promoció d’aquests elements positius, que poden afavorir el desenvolupament dels menors i facilitar la intervenció del tècnic. Després d’intensos i interessants debats sorgits en les aportacions al Fòrum del portal, i també en les reunions del grup d’entusiastes, hem acabat per definir el concepte, el que entenem, allò a què ens referim quan parlem d’elements facilitadors. És així que,finalment, els definirem com: Tots els recursos personals, familiars, socials i institucionals que promouen el desenvolupament exitós de l’adolescent, o bé que fan disminuir el risc d’aparèixer un desenvolupament alterat. La pretensió del “producte” elaborat no és constituir-se en un document de caràcter teòric, més aviat hem volgut donar-hi un sentit pràctic que l’apropi més a una eina de treball que no pas a un marc teòric de caire general. És per això que, un cop delimitat el concepte i els objectius del producte, el treball ha consistit en la relació i classificació d’aquests elements facilitadors del desenvolupament positiu que trobem en els menors i joves amb qui treballem, i en l’observació de la seva presència, absència o necessitat.

Marcia J. Bates: El context i la interacció han de ser elements bàsics en els sistemes de recuperació de la informació

Entrevista a Marcia J. Bates a la University od California at Los Angeles i experta en sistemes de recuperació de la Informació orientats a l'usuari i en representació del contingut i accés per matèries. Es parla de l'evolució de les tecnologies i l'automatització de tasques que requereixen la capacitat de raonament de la persona, del comportament de l'usuari quan cerca per matèries, de la formació en competències en el maneig de la informació, de la necessitat del context en la indexació i la recuperació per matèries, i l'empatia en les relacions entre bibliotecaris i usuaris.

Elements traça en esfalerites i galenes del dipòsit de Cierco (Pb-Zn). Alta Ribagorça, Pirineu Central

El diposit consisteix en dos filons E-W, tallats per un altre N-S. El rebliment filonia ès zonat amb esfalerita- galena-calcita als nivells profunds i galena-baritina als superiors. Els elements traça en esfalerites i galenes, plenament separades, han estat analitzats mitjancant fluorescència de raigs X. Els resultats mostren que l'esfalerita concentra la majoria d'elements traça, preferentment Fe, Co, Cd, Sn, Sb, Ga, Cu, Ge i Ag, amb una bona correlació entre els sis primers. La galena concentra únicament Sb, Ag i As, amb bona correlació entre els dos primers. Els continguts en elements traça estan homogèniament distribuits en tot el diposit.

Elements pedagògics de la concepció metodològica del disseny

Visió dels processos de la labor projectual del disseny com exemple de la possibilitat de l'autocrítica de la seva lògica i per la seva utilitat a l'ensenyament del disseny

Non-constant discounting in finite horizon: The free terminal time case

This paper derives the HJB (Hamilton-Jacobi-Bellman) equation for sophisticated agents in a finite horizon dynamic optimization problem with non-constant discounting in a continuous setting, by using a dynamic programming approach. A simple example is used in order to illustrate the applicability of this HJB equation, by suggesting a method for constructing the subgame perfect equilibrium solution to the problem.Conditions for the observational equivalence with an associated problem with constantdiscounting are analyzed. Special attention is paid to the case of free terminal time. Strotz¿s model (an eating cake problem of a nonrenewable resource with non-constant discounting) is revisited.