Simple finite field nuclear relaxation method for calculating vibrational contribution to degenerate four-wave mixing

A simple extended finite field nuclear relaxation procedure for calculating vibrational contributions to degenerate four-wave mixing (also known as the intensity-dependent refractive index) is presented. As a by-product one also obtains the static vibrationally averaged linear polarizability, as well as the first and second hyperpolarizability. The methodology is validated by illustrative calculations on the water molecule. Further possible extensions are suggested

Simple finite field method for calculation of static and dynamic vibrational hyperpolarizabilities: curvature contributions

In the static field limit, the vibrational hyperpolarizability consists of two contributions due to: (1) the shift in the equilibrium geometry (known as nuclear relaxation), and (2) the change in the shape of the potential energy surface (known as curvature). Simple finite field methods have previously been developed for evaluating these static field contributions and also for determining the effect of nuclear relaxation on dynamic vibrational hyperpolarizabilities in the infinite frequency approximation. In this paper the finite field approach is extended to include, within the infinite frequency approximation, the effect of curvature on the major dynamic nonlinear optical processes

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.

Total knee arthroplasty - a clinical and numerical study of the micromovements of the tibial implant

Introduction The importance of the micromovements in the mechanism of aseptic loosening is clinically difficult to evaluate. To complete the analysis of a series of total knee arthroplasties (TKA), we used a tridimensional numerical model to study the micromovements of the tibial implant.Material and Methods Fifty one patients (with 57 cemented Porous Coated Anatomic TKAs) were reviewed (mean follow-up 4.5 year). Radiolucency at the tibial bone-cement interface was sought on the AP radiographs and divided in 7 areas. The distribution of the radiolucency was then correlated with the axis of the lower limb as measured on the orthoradiograms.The tridimensional numerical model is based on the finite element method. It allowed the measurement of the cemented prosthetic tibial implant's displacements and the microvements generated at bone-ciment interface. A total load (2000 Newton) was applied at first vertically and asymetrically on the tibial plateau, thereby simulating an axial deviation of the lower limbs. The vector's posterior inclination then permitted the addition of a tangential component to the axial load. This type of effort is generated by complex biomechanical phenomena such as knee flexion.Results 81 per cent of the 57 knees had a radiolucent line of at least 1 mm, at one or more of the tibial cement-epiphysis jonctional areas. The distribution of these lucent lines showed that they came out more frequently at the periphery of the implant. The lucent lines appeared most often under the unloaded margin of the tibial plateau, when axial deviation of lower limbs was present.Numerical simulations showed that asymetrical loading on the tibial plateau induced a subsidence of the loaded margin (0-100 microns) and lifting off at the opposite border (0-70 microns). The postero-anterior tangential component induced an anterior displacement of the tibial implant (160-220 microns), and horizontal micromovements with non homogenous distribution at the bone-ciment interface (28-54 microns).Discussion Comparison of clinical and numerical results showed a relation between the development of radiolucent lines and the unloading of the tibial implant's margin. The deleterious effect of lower limbs' axial deviation is thereby proven. The irregular distribution of lucent lines under the tibial plateau was similar of the micromovements' repartition at the bone-cement interface when tangential forces were present. A causative relation between the two phenomenaes could not however be established.Numerical simulation is a truly useful method of study; it permits to calculate micromovements which are relative, non homogenous and of very low amplitude. However, comparative clinical studies remain as essential to ensure the credibility of results.

Consumer Satisfaction with Websites of Banks - The Moderating Effect of Consumer Technology Attractiveness

The websites are becoming the firms’ first contact interface with their clients. Hence, understanding customers’ online attitudes and behaviors have been capturing increased research attention. The extant research has pointed customers’ satisfaction with the websites as the main reason for customers’ online behaviors. This research has used mostly variables related to the characteristics of the websites as the predictors of customers’ website satisfaction. However, recent research shows that groups of individuals displaying distinctive characteristics react differently to the same context. Therefore, behavior may be considerably different among groups of customers. In this study, we develop a conceptual model of the influence of individual characteristics on the traditional website quality – website satisfaction relationship. We propose a model based on the construct of consumer technology attractiveness (CTA) to represent the genuine positive propensity of individuals toward technology. We further test the moderating effect of this construct on the commonly used predictors of customer’s website satisfaction using Hierarchical Multiple Regression. The empirical study was based on websites of banks operating in Portuguese market. The commercial banking industry is one of the Portuguese industries that better uses the Internet to establish relationships with clients. Data were collected through an online website satisfaction survey, participated by the lecturers and postgraduate students from four Portuguese Universities and Polytechnic Institutes. Our final sample comprised 276 valid questionnaires. Our study permits to conclude that the most commonly used antecedents of website overall satisfaction are still relevant for analyzing consumer’s satisfaction with the banks websites. We also conclude that CTA has a significant moderating effect on almost all customers’ website satisfaction variables used in the study. This study contributes to highlight the theoretical importance and significant influence of consumers’ personal characteristics on their online behavior. Moreover, for the practitioners, a better understanding of these individual characteristics will assist them in developing customized websites that will meet customers’ expectations. O estudo dos comportamentos dos consumidores em ambientes online tem vindo a ter um crescente interesse, uma vez que os websites estão a transformar-se num importante ponto de contacto entre as empresas e os seus clientes. A satisfação dos clientes com os websites tem sido apontada pela Literatura como o principal condicionante dos comportamentos online dos consumidores. No entanto, a investigação científica tem conseguido provar que grupos de indivíduos com características distintas reagem de forma diferente quando submetidos a contextos idênticos, o que poderá levar a diferenças significativas no comportamento online de consumidores pertencentes a diferentes grupos. Neste estudo desenvolvemos um modelo conceptual que reflecte a influência de características individuais na relação entre a qualidade e a satisfação com os websites. Propomos um modelo assente na atractividade tecnológica do consumidor (CTA), que representa a propensão genuína que os indivíduos possuem em relação à tecnologia. Testamos o efeito moderador deste conceito sobre as variáveis mais utilizadas nos estudos sobre a satisfação dos consumidores com os websites, utilizando a Regressão Múltipla Hierárquica. O estudo empírico baseou-se nos websites dos bancos que operam no mercado português, uma vez que este sector é um dos que melhor utiliza a Internet na sua relação com os clientes. Os dados foram recolhidos através de um questionário sobre satisfação com os websites, colocado online e dirigido a docentes e estudantes de programas de pós-graduações, mestrados e doutoramentos de quatro universidades e instituto politécnico portugueses, tendo resultado numa amostra final de 276 questionários validados estatisticamente. Este estudo permitiu concluir que as variáveis que são mais utilizadas como antecedentes da satisfação dos consumidores com os websites, continuam a ser igualmente válidas para a análise dos websites dos bancos. Também concluímos que a CTA tem efeitos moderadores significativos na grande maioria das variáveis utilizadas neste estudo. Assim, conseguimos realçar a importância teórica das características pessoais dos consumidores no seu comportamento online. Para os gestores, uma melhor compreensão destas características individuais permitir-lhes-á desenvolver websites customizados que irão satisfazer as expectativas dos seus clientes.

Mesurer l'amplitude articulaire du genou: goniométre universel ou smartphone [Measurement of the knee range of motion: standard goniometer or smartphone?].

Universal standard goniometer is an essential tool to measure articulations' range of motion (ROM). In this time of technological advances and increasing use of smartphones, new measurement's tools appear as specific smartphone applications. This article compares the iOS application "Knee Goniometer" with universal standard goniometer to assess knee ROM. To our knowledge, this is the first study that uses a goniometer application in a clinical context. The purpose of this study is to determine if this application could be used in clinical practice.

Banks and development: Jewish communities in the Italian Renaissance and current economic performance

Are differences in local banking development long-lasting? Do they affect long-term economic performance?I answer these questions by relying on an historical development that occurred in Italian cities during the 15thcentury. A sudden change in the Catholic doctrine had driven the Jews toward money lending. Cities thatwere hosting Jewish communities developed complex banking institutions for two reasons: first, the Jews werethe only people in Italy who were allowed to lend for a profit and, second, the Franciscan reaction to Jewishusury led to the creation of charity lending institutions, the Monti di Pietà, that have survived until today andhave become the basis of the Italian banking system. Using Jewish demography in 1500 as an instrument, Iprovide evidence of (1) an extraordinary persistence in the level of banking development across Italian cities (2)large effects of current local banking development on per-capita income. Additional firm-level analyses suggestthat well-functioning local banks exert large effects on aggregate productivity by reallocating resources towardmore efficient firms. I exploit the expulsion of the Jews from the Spanish territories in Italy in 1541 to arguethat my results are not driven by omitted institutional, cultural and geographical characteristics. In particular,I show that, in Central Italy, the difference in current income between cities that hosted Jewish communitiesand cities that did not exists only in those regions that were not Spanish territories in the 16th century.

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.