880 resultados para Variational inequalities
Resumo:
We consider massless higher spin gauge theories with both electric and magnetic sources, with a special emphasis on the spin two case. We write the equations of motion at the linear level (with conserved external sources) and introduce Dirac strings so as to derive the equations from a variational principle. We then derive a quantization condition that generalizes the familiar Dirac quantization condition, and which involves the conserved charges associated with the asymptotic symmetries for higher spins. Next we discuss briefly how the result extends to the nonlinear theory. This is done in the context of gravitation, where the Taub-NUT solution provides the exact solution of the field equations with both types of sources. We rederive, in analogy with electromagnetism, the quantization condition from the quantization of the angular momentum. We also observe that the Taub-NUT metric is asymptotically flat at spatial infinity in the sense of Regge and Teitelboim (including their parity conditions). It follows, in particular, that one can consistently consider in the variational principle configurations with different electric and magnetic masses. © 2006 The American Physical Society.
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BACKGROUND: Nonparametric Bayesian techniques have been developed recently to extend the sophistication of factor models, allowing one to infer the number of appropriate factors from the observed data. We consider such techniques for sparse factor analysis, with application to gene-expression data from three virus challenge studies. Particular attention is placed on employing the Beta Process (BP), the Indian Buffet Process (IBP), and related sparseness-promoting techniques to infer a proper number of factors. The posterior density function on the model parameters is computed using Gibbs sampling and variational Bayesian (VB) analysis. RESULTS: Time-evolving gene-expression data are considered for respiratory syncytial virus (RSV), Rhino virus, and influenza, using blood samples from healthy human subjects. These data were acquired in three challenge studies, each executed after receiving institutional review board (IRB) approval from Duke University. Comparisons are made between several alternative means of per-forming nonparametric factor analysis on these data, with comparisons as well to sparse-PCA and Penalized Matrix Decomposition (PMD), closely related non-Bayesian approaches. CONCLUSIONS: Applying the Beta Process to the factor scores, or to the singular values of a pseudo-SVD construction, the proposed algorithms infer the number of factors in gene-expression data. For real data the "true" number of factors is unknown; in our simulations we consider a range of noise variances, and the proposed Bayesian models inferred the number of factors accurately relative to other methods in the literature, such as sparse-PCA and PMD. We have also identified a "pan-viral" factor of importance for each of the three viruses considered in this study. We have identified a set of genes associated with this pan-viral factor, of interest for early detection of such viruses based upon the host response, as quantified via gene-expression data.
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In regression analysis of counts, a lack of simple and efficient algorithms for posterior computation has made Bayesian approaches appear unattractive and thus underdeveloped. We propose a lognormal and gamma mixed negative binomial (NB) regression model for counts, and present efficient closed-form Bayesian inference; unlike conventional Poisson models, the proposed approach has two free parameters to include two different kinds of random effects, and allows the incorporation of prior information, such as sparsity in the regression coefficients. By placing a gamma distribution prior on the NB dispersion parameter r, and connecting a log-normal distribution prior with the logit of the NB probability parameter p, efficient Gibbs sampling and variational Bayes inference are both developed. The closed-form updates are obtained by exploiting conditional conjugacy via both a compound Poisson representation and a Polya-Gamma distribution based data augmentation approach. The proposed Bayesian inference can be implemented routinely, while being easily generalizable to more complex settings involving multivariate dependence structures. The algorithms are illustrated using real examples. Copyright 2012 by the author(s)/owner(s).
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My underlying argument, in this paper, is that conceptualisations of power as a commodity, through which the 'disempowered-as-illiterate' subject moves towards becoming an 'empowered-as-literate' subject, forces constructs of identities into a powerful/powerless dichotomy which does not always do justice to diverse experiences. The claimed 'empowering' intentions of adult education programme and policy practice may, in reality, contribute to the dominance of restrictive disciplining and regulatory discursive practices. Moving away from emancipatory trajectories of adult education programmes that allege only liberation from domination, through 'literacy', can promise freedom points to another position of hope. Drawing on Foucauldian analysis, I explore sites of resistance as possibilities of transforming 'structures of understanding' at different levels. Officially validated and recognised transformations, in adult education programme as well as policy understandings, of the 'illiterate' subject may also hope to include choices in postures of autonomy (see Spivak 1996) made by programme participants in other 'fields' of socio-cultural practice linked to their material realities. Subsequently, 'empowerment' of the 'illiterate Indian village woman' cannot solely be imagined as a product of laws, policies and institutional discursive practices (see, for example, Gouws 2005; Rai 2003 on gender mainstreaming and Mosse 2005 on aid policy and practice). The 'illiterate Indian village woman' represented as a site of resistance, throughout this paper, displaces homogeneous representations of the 'illiterate' which situate her in the role of 'dependent' or 'victim', as failed attempts to rob her of her historical and political agency (Mohanty 1996). Through narrating other 'images' of refusal in my ethnographic vignettes, I hope to recognise different individuals' sense of agency, at all levels, as embedded in and evolving through forms of collective action that activate differences in order to develop possibilities and sustain hope for transforming historically rooted discursive practices of inequality. I provide ethnographic accounts of resisting 'literacy' programme participants, based in different villages in Bihar (Northern India), as accounts of resistance impacted on by notions of norms, translating and interpreting Others, networks and empowerment.
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The UK’s public health agenda has encouraged enhanced housing and health interventions. The private housing sector (privately rented and owner occupied) is the favoured and majority UK tenure, but is it seen as a primarily health promoting environment, or a commercial asset? There has been a growing interest in integrating health and housing policy in recent years. However, housing and public health fall under separate government departments and funding regimes. Partnership working has sought to overcome silo working and encourage evidence-based practice, yet is particularly challenging for interventions in the private housing sector, with an increased emphasis on ‘personal responsibility’ for conditions. Strategic public health frameworks are in place, but barriers remain and there is pressure for organisations to revert to core activities. An accessible, continually updated evidence base specific to private sector housing is recommended, to help estimate health gain arising from interventions to prioritise activities and address inequalities.
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The book examines the relationship between welfare and health and includes discussion of key policy issues such as; changes in health care delivery, regulation of professionals, privatisation, welfare pluralism and the tackling of health and social inequalities. The significance of social policy in preventing ill health and disability, as well as supporting the sick and disabled people, is emphasised throughout the book.
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La aplicación de la “Huella Hídrica” a la realidad española debe hacerse desde la consciencia de que hasta hace relativamente poco, el pensamiento científico dominante era el reduccionismo, cuyo enfoque considera que basta un conocimiento detallado de cada uno de los componentes de un sistema y de sus leyes fundamentales, para entenderlo globalmente. Y es que, el interés por este indicador surge de la importancia que cobran conceptos como “escasez” y “contaminación” del agua, como consecuencia directa e indirecta de la actividad humana sobre los sistemas hídricos, tanto en España como en los países de América Latina; con el fin de mejorar la gestión –desde la oferta y la demanda- de los recursos hídricos del planeta y reducir las desigualdades territoriales. De este modo, en el presente estudio se realiza una estimación de la “Huella Hídrica” de España y América Latina, así como de a la Red de Parques Nacionales Españoles, tanto a nivel económico como ambiental, describiendo los recursos hídricos utilizados, necesarios para satisfacer la demanda de bienes y servicios consumidos, en los prolegómenos del siglo XXI.
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Post-apartheid South Africa is characterized by centralized, neo-liberal policymaking that perpetuates, and in some cases exaggerates, socio-economic inequalities inherited from the apartheid era. The African National Congress (ANC) leadership’s alignment with powerful international and domestic market actors produces tensions within the Tripartite Alliance and between government and civil society. Consequently, several characteristics of ‘predatory liberalism’ are evident in contemporary South Africa: neo-liberal restructuring of the economy is combined with an increasing willingness by government to assert its authority, to marginalize and delegitimize those critical of its abandonment of inclusive governance. A new form of oligarch power, combining entrenched economic interests with those of a new ‘black bourgeoisie’ promoted by narrowly implemented Black Economic Empowerment policies, diminishes prospects for broad-based socio-economic transformation. Because the new policy environment is failing to resolve tensions between global market demands for increasing market liberalization and domestic popular demands for poverty-alleviation and socio-economic transformation, the ANC leadership is forced increasingly to confront ‘ultra-leftists’ who are challenging its credentials as defender of the National Democratic Revolution which was the cornerstone in the anti-apartheid struggle.
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Summary statistics continue to play an important role in identifying and monitoring patterns and trends in educational inequalities between differing groups of pupils over time. However, this article argues that their uncritical use can also encourage the labelling of whole groups of pupils as ‘underachievers’ or ‘overachievers’ as the findings of group-level data are simply applied to individual group members, a practice commonly termed the ‘ecological fallacy’. Some of the adverse consequences of this will be outlined in relation to current debates concerning gender and ethnic differences in educational attainment. It will be argued that one way of countering this uncritical use of summary statistics and the ecological fallacy that it tends to encourage, is to make much more use of the principles and methods of what has been termed ‘exploratory data analysis’. Such an approach is illustrated through a secondary analysis of data from the Youth Cohort Study of England and Wales, focusing on gender and ethnic differences in educational attainment. It will be shown that, by placing an emphasis on the graphical display of data and on encouraging researchers to describe those data more qualitatively, such an approach represents an essential addition to the use of simple summary statistics and helps to avoid the limitations associated with them.
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Summary: This article argues that the notion of the knowledge base as a central aspect of professional activity is flawed, and that it is more useful to see social work as in a continuous process of constructing and reconstructing professional knowledge. Findings: Culture is an area that has attracted widespread attention in academia and the social professions. However, there has been little examination of culturally sensitive social work practice from a realist perspective, or one that starts from the view that oppressive structures, as encoded within social class, are essential determinants of cultural experience. Following a critique of postmodern perspectives on culture, the work of Pierre Bourdieu on culture and power is explored. Applications: Three of Bourdieu's key constructs - habitus, field and capital - are utilized to develop a model for culturally sensitive social work practice that attends to the interplay of agency and structure in reproducing inequalities within the social world.
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We report results for e(+/-)-Ps(Is) scattering in the energy range up to 80 eV calculated in 9-state and 30-state coupled pseudostate approximations. Cross-sections are presented for elastic scattering, ortho-para conversion, discrete excitation, ionization and total scattering. Resonances associated with the Ps(n = 2) threshold are also examined and their positions and widths determined. Very good agreement is obtained with the variational calculations of Ward et al. [J. Phys. B 20 (1987) 127] below 5.1 eV. (C) 2004 Elsevier B.V. All rights reserved.
Resumo:
There have been theoretical and experimental studies on quantum nonlocality for continuous variables, based on dichotomic observables. In particular, we are interested in two cases of dichotomic observables for the light field of continuous variables: One case is even and odd numbers of photons and the other case is no photon and the presence of photons. We analyze various observables to give the maximum violation of Bell's inequalities for continuous-variable states. We discuss an observable which gives the violation of Bell's inequality for any entangled pure continuous-variable state. However, it does not have to be a maximally entangled state to give the maximal violation of Bell's inequality. This is attributed to a generic problem of testing the quantum nonlocality of an infinite- dimensional state using a dichotomic observable.
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A many-body theory approach is developed for the problem of positron-atom scattering and annihilation. Strong electron- positron correlations are included nonperturbatively through the calculation of the electron-positron vertex function. It corresponds to the sum of an infinite series of ladder diagrams, and describes the physical effect of virtual positronium formation. The vertex function is used to calculate the positron-atom correlation potential and nonlocal corrections to the electron-positron annihilation vertex. Numerically, we make use of B-spline basis sets, which ensures rapid convergence of the sums over intermediate states. We have also devised an extrapolation procedure that allows one to achieve convergence with respect to the number of intermediate- state orbital angular momenta included in the calculations. As a test, the present formalism is applied to positron scattering and annihilation on hydrogen, where it is exact. Our results agree with those of accurate variational calculations. We also examine in detail the properties of the large correlation corrections to the annihilation vertex.
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Near-threshold ionization of He has been studied by using a uniform semiclassical wavefunction for the two outgoing electrons in the final channel. The quantum mechanical transition amplitude for the direct and exchange scattering derived earlier by using the Kohn variational principle has been used to calculate the triple differential cross sections. Contributions from singlets and triplets are critically examined near the threshold for coplanar asymmetric geometry with equal energy sharing by the two outgoing electrons. It is found that in general the tripler contribution is much smaller compared to its singlet counterpart. However, at unequal scattering angles such as theta (1) = 60 degrees, theta (2) = 120 degrees the smaller peaks in the triplet contribution enhance both primary and secondary TDCS peaks. Significant improvements of the primary peak in the TDCS are obtained for the singlet results both in symmetric and asymmetric geometry indicating the need to treat the classical action variables without any approximation. Convergence of these cross sections are also achieved against the higher partial waves. Present results are compared with absolute and relative measurements of Rosel et al (1992 Phys. Rev. A 46 2539) and Selles et al (1987 J. Phys. B. At. Mel. Phys. 20 5195) respectively.
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An efficient method for calculating the electronic structure of systems that need a very fine sampling of the Brillouin zone is presented. The method is based on the variational optimization of a single (i.e., common to all points in the Brillouin zone) basis set for the expansion of the electronic orbitals. Considerations from k.p-approximation theory help to understand the efficiency of the method. The accuracy and the convergence properties of the method as a function of the optimal basis set size are analyzed for a test calculation on a 16-atom Na supercell.