943 resultados para Jensen’s Inequality


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This work presents a formulation of the contact with friction between elastic bodies. This is a non linear problem due to unilateral constraints (inter-penetration of bodies) and friction. The solution of this problem can be found using optimization concepts, modelling the problem as a constrained minimization problem. The Finite Element Method is used to construct approximation spaces. The minimization problem has the total potential energy of the elastic bodies as the objective function, the non-inter-penetration conditions are represented by inequality constraints, and equality constraints are used to deal with the friction. Due to the presence of two friction conditions (stick and slip), specific equality constraints are present or not according to the current condition. Since the Coulomb friction condition depends on the normal and tangential contact stresses related to the constraints of the problem, it is devised a conditional dependent constrained minimization problem. An Augmented Lagrangian Method for constrained minimization is employed to solve this problem. This method, when applied to a contact problem, presents Lagrange Multipliers which have the physical meaning of contact forces. This fact allows to check the friction condition at each iteration. These concepts make possible to devise a computational scheme which lead to good numerical results.

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In this paper we present an algorithm for the numerical simulation of the cavitation in the hydrodynamic lubrication of journal bearings. Despite the fact that this physical process is usually modelled as a free boundary problem, we adopted the equivalent variational inequality formulation. We propose a two-level iterative algorithm, where the outer iteration is associated to the penalty method, used to transform the variational inequality into a variational equation, and the inner iteration is associated to the conjugate gradient method, used to solve the linear system generated by applying the finite element method to the variational equation. This inner part was implemented using the element by element strategy, which is easily parallelized. We analyse the behavior of two physical parameters and discuss some numerical results. Also, we analyse some results related to the performance of a parallel implementation of the algorithm.

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This dissertation critically reviews the idea of meritocracy from both a theoretical and an empirical perspective. Based on a discussion of classical texts of social philosophy and sociology, it is argued that meritocracy as a concept for social stratification is best compatible with the sociological tradition of status attainment research: both frame social inequality in primarily individualistic terms, centring on the role of ascribed (e.g., gender, social background) and achieved (e.g., educational qualifications) characteristics for determining individuals’ socioeconomic rewards. This theoretical argument introduces the research problem at the core of this dissertation: to what extent can the individualistic conception of social stratification be maintained empirically? Fields of study and their interaction with educational attainment levels play a prominent role in the analysis of this question. Drawing on sociological versions of segmented labour market theory, it is assumed that fields of study may channel individuals into heterogeneous political-economic contexts on the labour market, which potentially modify the socioeconomic benefit individuals derive from their qualification levels. The focus on fields of study may also highlight economic differentials between men and women that derive from the persisting segregation of men’s and women’s occupational and educational specializations rather than direct gender discrimination on the labour market. The quantitative analyses in this dissertation consist of three research articles, which are based primarily on Finnish data, but occasionally extend the view to other European countries. The data sources include register-based macro- and microdata as well as survey data. Article I examines the extent and the patterns of gender segregation within the Finnish educational system between 1981 and 2005. The results show that differences between men’s and women’s field specializations have for the most part remained stable during this period, with particularly high levels of gender segregation observed at lower educational levels. The focus in Article II rests on the effects of gender-segregated fields of study on higher education graduates’ occupational status. It is shown that fields of study matter for accessing professional jobs and avoiding low-skilled positions in Finland: at the early career stage, particularly polytechnic graduates from female-dominated fields are less likely to work in professional positions. Finnish university graduates from male-dominated fields were more likely than their peers with different specializations to work as professionals, yet they also faced a greater risk of being sorted into lowskilled jobs if they failed to make use of this advantage. Article III proceeded to analyse the joint impact of educational qualification levels and fields of study on young adults’ median earnings in Finland between 1985 and 2005. The results show that qualification levels do not confer a consistent benefit in the process of earnings stratification. Advanced qualifications raise median earnings most clearly among individuals specializing in the same field of study. When comparing individuals with different field specializations, on the other hand, higher-level qualifications do not necessarily lead to higher median earnings. Overall, the findings of this dissertation reveal a heterogeneous effect of education for achieving social positions, which challenges individual-centred, meritocratic accounts of social stratification and underlines the problematic lack of structural and institutional dimensions in the dominant account of social status attainment.

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Bullying is characterized by an inequality of power between perpetrator and target. Findings that bullies can be highly popular have helped redefine the old conception of the maladjusted school bully into a powerful individual exerting influence on his peers from the top of the peer status hierarchy. Study I is a conceptual paper that explores the conditions under which a skillful, socially powerful bully can use the peer group as a means of aggression and suggests that low cohesion and low quality of friendships make groups easier to manipulate. School bullies’ high popularity should be a major obstacle for antibullying efforts, as bullies are unlikely to cease negative actions that are rewarding, and their powerful position could discourage bystanders from interfering. Using data from the Finnish program KiVa, Study II supported the hypothesis that antibullying interventions are less effective with popular bullies in comparison to their unpopular counterparts. In order to design interventions that can address the positive link between popularity and aggression, it is necessary to determine in which contexts bullies achieve higher status. Using an American sample, Study III examined the effects of five classroom features on the social status that peers accord to aggressive children, including classroom status hierarchy, academic level and grade level, controlling for classroom mean levels of aggression and ethnic distribution. Aggressive children were more popular and better liked in fifth grade relative to fourth grade and in classrooms of higher status hierarchy. Surprisingly, the natural emergence of status hierarchies in children’s peer groups has long been assumed to minimize aggression. Whether status hierarchies hinder or promote bullying is a controversial question in the peer relations’ literature. Study IV aimed at clarifying this debate by testing the effects of the degree of classroom status hierarchy on bullying. Higher hierarchy was concrrently associated with bullying and predictive of higher bullying six months later. As bullies’ quest for power is increasingly acknowledged, some researchers suggest teaching bullies to attain the elevated status they yearn for through prosocial acts. Study V cautions against such solutions by reviewing evidence that prosocial behaviors enacted with the intention of controlling others can be as harmful as aggression.

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Few studies have described factors associated with infant and adolescent mortality since birth. We report here mortality during a 20-year period in a birth cohort from Ribeirão Preto in order to identify birth variables that influenced mortality among infants and children between 10 and 19 years of age, the main causes of death, and the influence of social inequality at birth on death. Mothers were interviewed shortly after delivery. Social, biological and demographic information was collected, and mortality up to 19 years of age was investigated in registry systems. Of the 6748 liveborn singletons born in the municipality from 1978 to 1979, 343 died before or when 19 years of age were completed. Most of the cohort mortality (74.9%) occurred during the first year of life and 19.6% occurred from 10 to 19 years. Mortality was higher among boys. Preterm birth (hazard ratio, HR = 7.94) and low birth weight (HR = 10.15) were strongly associated with infant mortality. Other risk factors for infant mortality were: maternal age ³35 years (HR = 1.74), unskilled manual occupation of family head (HR = 2.47), and for adolescent mortality: unskilled manual occupation of family head (HR = 9.98) and male sex (HR = 6.58). "Perinatal conditions" were the main causes of deaths among infants and "external causes" among adolescents, especially boys. Socioeconomic factors at birth, represented by occupation, influenced adolescent mortality due to external causes, which was higher among boys (7:1). The influence of social inequality at birth on death, measured by occupation, was greater in adolescence than in infancy.

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Few studies are available about racial inequalities in perinatal health in Brazil and little is known about whether the existing inequality is due to socioeconomic factors or to racial discrimination per se. Data regarding the Ribeirão Preto birth cohort, Brazil, whose mothers were interviewed from June 1, 1978 to May 31, 1979 were used to answer these questions. The perinatal factors were obtained from the birth questionnaire and the ethnic data were obtained from 2063 participants asked about self-reported skin color at early adulthood (23-25 years of age) in 2002/2004. Mothers of mulatto and black children had higher rates of low schooling (£4 years, 27.2 and 38.0%) and lower family income (£1 minimum wage, 28.6 and 30.4%). Mothers aged less than 20 years old predominated among mulattos (17.0%) and blacks (14.0%). Higher rates of low birth weight and smoking during pregnancy were observed among mulatto individuals (9.6 and 28.8%). Preterm birth rate was higher among mulattos (9.5%) and blacks (9.7%) than whites (5.5%). White individuals had higher rates of cesarean delivery (34.9%). Skin color remained as an independent risk factor for low birth weight (P < 0.001), preterm birth (P = 0.01), small for gestational age (P = 0.01), and lack of prenatal care (P = 0.02) after adjustment for family income and maternal schooling, suggesting that the racial inequalities regarding these indicators are explained by the socioeconomic disadvantage experienced by mulattos and blacks but are also influenced by other factors, possibly by racial discrimination and/or genetics.

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Negotiating trade agreements is an important part of government trade policies, economic planning and part of the globally operating trading system of today. European Union and the United States have been active in the formation of trade agreements in global comparison. Now these two economic giants are engaged in negotiations to form their own trade agreement, the so called Transnational Trade and Investment Partnership (TTIP). The purpose of this thesis is to understand the reasons for making a trade agreement between two economic areas and understanding the issues it may include in the case of the TTIP. The TTIP has received a great deal of attention in the media. The opinions towards the partnership have been extreme, and the debate has been heated. The purpose of this study is to introduce the nature of the public discussion regarding the TTIP from Spring 2013 until 2014. The research problem is to find out what are the main issues in the agreement and what are the values influencing them. The study was conducted applying methods of critical discourse analysis to the chosen data. This includes gathering the issues from the data based on the attention each has received in the discussion. The underlying motives for raising different issues were analysed by investigating the authors’ position in the political, economic and social circuits. The perceived economic impacts of the TTIP are also under analysis with the same criteria. Some of the most respected economic newspapers globally were included in the research material as well as papers or reports published by the EU and global organisations. The analysis indicates a clear dichotomy of the attitudes towards the TTIP. Key problems include lack of transparency in the negotiations, the misunderstood investor-state dispute settlement, the constantly expanding regulatory issues and the risk of protectionism. The theory and data does suggest that the removal of tariffs is an effective tool for reaching economic gains in the TTIP and even more effective would be the reducing of non-tariff barriers, such as protectionism. Critics are worried over the rising influence of corporations over governments. The discourse analysis reveals that the supporters of the TTIP have values related to increasing welfare through economic growth. Critics do not deny the economic benefits but raise the question of inequality as a consequence. Overall they represent softer values such as sustainable development and democracy as a counter-attack to the corporate values of efficiency and the maximising of profits.

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This work investigates theoretical properties of symmetric and anti-symmetric kernels. First chapters give an overview of the theory of kernels used in supervised machine learning. Central focus is on the regularized least squares algorithm, which is motivated as a problem of function reconstruction through an abstract inverse problem. Brief review of reproducing kernel Hilbert spaces shows how kernels define an implicit hypothesis space with multiple equivalent characterizations and how this space may be modified by incorporating prior knowledge. Mathematical results of the abstract inverse problem, in particular spectral properties, pseudoinverse and regularization are recollected and then specialized to kernels. Symmetric and anti-symmetric kernels are applied in relation learning problems which incorporate prior knowledge that the relation is symmetric or anti-symmetric, respectively. Theoretical properties of these kernels are proved in a draft this thesis is based on and comprehensively referenced here. These proofs show that these kernels can be guaranteed to learn only symmetric or anti-symmetric relations, and they can learn any relations relative to the original kernel modified to learn only symmetric or anti-symmetric parts. Further results prove spectral properties of these kernels, central result being a simple inequality for the the trace of the estimator, also called the effective dimension. This quantity is used in learning bounds to guarantee smaller variance.

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The 1980s' debt crisis is a landmark in developing economies' growth and stabilization. According to the most quoted empirical articles, external shocks and vicissitudes gave rise to crisis just because of delays in stabilization policies, engendered by internal conflicts and institutional immaturity. I review some of these papers, and find out some problems - in the measurement of shocks and foreign indebtedness, namely - whose corrections lead to opposite results: external shocks and foreign indebtedness explain that crisis regardless of domestic policies. At the same time, the strong correlation of income distribution to terms of trade changes and foreign indebtedness suggest that inequality may have contributed differently to that crisis: either through an economic channel, or through a political channel based on delays in reforms.

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The objective of this paper is twofold. Firstly, we show how, and to what extent, Latin American and Caribbean countries applied the precepts of the second Washington consensus, i.e. a consensus which stresses the capital account liberalization. Secondly, we highlight the effects of this set of reforms on their economies. Thus, we show that countries having most scrupulously followed these recommendations did not experience better economic results. On the contrary, their situation as regards inequality and debt is getting worse than others.

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Based on the ISSP (1999) survey the aim of the present paper is to provide an empirical description about the perceptions Brazilians have towards their own social positioing in the social scale and towards the country’s income distribution. Throughout this description, the paper gives support for the hypothesis that Brazilians do not recognize the form of the country’s income distribution and its high degree of inequality. Also, we present a brief discussion on the causes and consequences of this knowledge gap.

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The rhythm in the fall of inequality in Brazil is acceptable? Evidences of the historical and international context. The following study uses two approaches to answer the question of whether inequality in Brazil is falling fast enough. The first is to compare the variation of the Gini coefficient in Brazil with what was observed in several countries that today belong to the OCDE (United Kingdom, United States, Netherlands, Sweden, France, Norway, and Spain) while these same countries built their social welfare systems during the last century. The second approach is to calculate for how much Brazil must keep up the fall in the Gini coefficient to attain the same levels of inequality of three OCDE countries that can be used as a reference: Mexico, the United States, and Canada. The data indicate that the Gini coefficient in Brazil is falling 0.7 point per year and that this is superior to the rhythm of all the OCDE countries analyzed while they built their welfare systems but Spain, whose Gini fell 0.9 point per year during the 1950s. The time needed to attain various benchmarks in inequality are: 6 years to Mexico, 12 to the United States and 24 to Canadian inequality levels. The general conclusion is that the speed with which inequality is falling is adequate, but the challenge will be to keep inequality falling at the same rate for another two or three decades.

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As unregistered grassroots charities do not appear in official statistics in China, they tend to remain unnoticed by scholars. Also as they operate unofficially and avoid publicity, their work is usually not reported by the media. In this research I explore the grassroots charity activity of one pop music fan club from the viewpoint of trust as a sociological concept. I will also establish the general situation on charity in China. By using textual analysis on internet blogs and discussion forums I map the charity project from the discussion of the original idea to the execution and follow up phase. I study the roles the fan club members assume during the project as anonymous participants of internet conversations, as well as concrete active charity volunteers outside of the virtual world. I establish parties, other than the fan club, which are involved in the charity project. Interviews with one of the participant of the project in 2010, 2014 and 2015 bring valuable additional information and help in distributing the questionnaire survey. A quantitative questionnaire survey was distributed among the fan club members to get more detailed information on the motives and attitudes towards official and unofficial charity in China. Because of the inequality in China, the rural minority areas do not have similar educational opportunities as the mostly majority inhabited urban areas, even though the country officially has a nine year compulsory education. Grassroots charities can operate in relative freedom taking some of the government’s burden of social responsibilities if they are not criticizing the authorities. The problem with grassroots charity seems to be lack of sustainability. The lack of trust for authorities and official charities was the reason why the Jane Zhang fan club decided to conduct a charity case unofficially. As a group of people previously unknown to each other, they managed to build mutual trust to carry out the project transparently and successfully, though not sustainably. The internet has provided a new and effective platform for unofficial grassroots charities, who choose not to co-operate with official organisations. On grassroots level charities can have the transparency and trust that lack from official charities. I suggest, that interviewing the real persons behind the internet aliases and finding out what happened outside the discussion forums, would bring a more detailed and outspoken description of the project concerning of the contacts with the local authorities. Also travelling to the site and communicating with the local people in the village would establish how they have experienced the project.

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Measuring racial inequalities in the labor market. How much racial inequality is there in Brazilian labor market? What has been the impact of the latest transformations in work relations on it? Can we compare the Brazilian situation to other countries? These questions don't have today an objective answer. This is due, mostly, to the absence of measures which could allow us to make long term and regional comparisons of different racial inequalities situations. Our proposal is to provide new indicators to evaluate racial inequalities in both the occupational and income structure in Brazil. Our results show that whites/non-whites gaps widened since the 1980s. They allow us to affirm, in addition, that racial inequalities are today worst in Brazil than in countries that adopted affirmative action laws to fight discrimination.

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What inequality are we talking about? The essay was motivated by the recent disclosure of documents by multilateral development institutions demonstrating that the last phase of economic growth has tended to aggravate socioeconomic inequality. The purpose of the current analyze is to debate the advances that have been made and the persisting methodological and analytical difficulties in the debate on inequality as well as to contribute with a few insights towards the construction of a multidimensional view of a recurring and inherent aspect of capitalist development.