An improved sum-product estimate for general finite fields

An improved sum-product estimate for subsets of a finite field whose order is not prime is provided. It is shown, under certain conditions, that max{∣∣∣A+A∣∣∣,∣∣∣A⋅A∣∣∣}≫∣∣A∣∣12/11(log2∣∣A∣∣)5/11. This new estimate matches, up to a logarithmic factor, the current best known bound obtained over prime fields by Rudnev

A high frequency $hp$ boundary element method for scattering by convex polygons

In this paper we propose and analyze a hybrid $hp$ boundary element method for the solution of problems of high frequency acoustic scattering by sound-soft convex polygons, in which the approximation space is enriched with oscillatory basis functions which efficiently capture the high frequency asymptotics of the solution. We demonstrate, both theoretically and via numerical examples, exponential convergence with respect to the order of the polynomials, moreover providing rigorous error estimates for our approximations to the solution and to the far field pattern, in which the dependence on the frequency of all constants is explicit. Importantly, these estimates prove that, to achieve any desired accuracy in the computation of these quantities, it is sufficient to increase the number of degrees of freedom in proportion to the logarithm of the frequency as the frequency increases, in contrast to the at least linear growth required by conventional methods.

A nonparametric ensemble transform method for Bayesian inference

Many applications, such as intermittent data assimilation, lead to a recursive application of Bayesian inference within a Monte Carlo context. Popular data assimilation algorithms include sequential Monte Carlo methods and ensemble Kalman filters (EnKFs). These methods differ in the way Bayesian inference is implemented. Sequential Monte Carlo methods rely on importance sampling combined with a resampling step, while EnKFs utilize a linear transformation of Monte Carlo samples based on the classic Kalman filter. While EnKFs have proven to be quite robust even for small ensemble sizes, they are not consistent since their derivation relies on a linear regression ansatz. In this paper, we propose another transform method, which does not rely on any a priori assumptions on the underlying prior and posterior distributions. The new method is based on solving an optimal transportation problem for discrete random variables. © 2013, Society for Industrial and Applied Mathematics

A finite element method for nonlinear elliptic problems

We present a Galerkin method with piecewise polynomial continuous elements for fully nonlinear elliptic equations. A key tool is the discretization proposed in Lakkis and Pryer, 2011, allowing us to work directly on the strong form of a linear PDE. An added benefit to making use of this discretization method is that a recovered (finite element) Hessian is a byproduct of the solution process. We build on the linear method and ultimately construct two different methodologies for the solution of second order fully nonlinear PDEs. Benchmark numerical results illustrate the convergence properties of the scheme for some test problems as well as the Monge–Amp`ere equation and the Pucci equation.

A finite element method for second order nonvariational elliptic problems

We propose a numerical method to approximate the solution of second order elliptic problems in nonvariational form. The method is of Galerkin type using conforming finite elements and applied directly to the nonvariational (nondivergence) form of a second order linear elliptic problem. The key tools are an appropriate concept of “finite element Hessian” and a Schur complement approach to solving the resulting linear algebra problem. The method is illustrated with computational experiments on three linear and one quasi-linear PDE, all in nonvariational form.

Bounding the role of black carbon in the climate system: a scientific assessment

Black carbon aerosol plays a unique and important role in Earth’s climate system. Black carbon is a type of carbonaceous material with a unique combination of physical properties. This assessment provides an evaluation of black-carbon climate forcing that is comprehensive in its inclusion of all known and relevant processes and that is quantitative in providing best estimates and uncertainties of the main forcing terms: direct solar absorption; influence on liquid, mixed phase, and ice clouds; and deposition on snow and ice. These effects are calculated with climate models, but when possible, they are evaluated with both microphysical measurements and field observations. Predominant sources are combustion related, namely, fossil fuels for transportation, solid fuels for industrial and residential uses, and open burning of biomass. Total global emissions of black carbon using bottom-up inventory methods are 7500 Gg yr�-1 in the year 2000 with an uncertainty range of 2000 to 29000. However, global atmospheric absorption attributable to black carbon is too low in many models and should be increased by a factor of almost 3. After this scaling, the best estimate for the industrial-era (1750 to 2005) direct radiative forcing of atmospheric black carbon is +0.71 W m�-2 with 90% uncertainty bounds of (+0.08, +1.27)Wm�-2. Total direct forcing by all black carbon sources, without subtracting the preindustrial background, is estimated as +0.88 (+0.17, +1.48) W m�-2. Direct radiative forcing alone does not capture important rapid adjustment mechanisms. A framework is described and used for quantifying climate forcings, including rapid adjustments. The best estimate of industrial-era climate forcing of black carbon through all forcing mechanisms, including clouds and cryosphere forcing, is +1.1 W m�-2 with 90% uncertainty bounds of +0.17 to +2.1 W m�-2. Thus, there is a very high probability that black carbon emissions, independent of co-emitted species, have a positive forcing and warm the climate. We estimate that black carbon, with a total climate forcing of +1.1 W m�-2, is the second most important human emission in terms of its climate forcing in the present-day atmosphere; only carbon dioxide is estimated to have a greater forcing. Sources that emit black carbon also emit other short-lived species that may either cool or warm climate. Climate forcings from co-emitted species are estimated and used in the framework described herein. When the principal effects of short-lived co-emissions, including cooling agents such as sulfur dioxide, are included in net forcing, energy-related sources (fossil fuel and biofuel) have an industrial-era climate forcing of +0.22 (�-0.50 to +1.08) W m-�2 during the first year after emission. For a few of these sources, such as diesel engines and possibly residential biofuels, warming is strong enough that eliminating all short-lived emissions from these sources would reduce net climate forcing (i.e., produce cooling). When open burning emissions, which emit high levels of organic matter, are included in the total, the best estimate of net industrial-era climate forcing by all short-lived species from black-carbon-rich sources becomes slightly negative (�-0.06 W m�-2 with 90% uncertainty bounds of �-1.45 to +1.29 W m�-2). The uncertainties in net climate forcing from black-carbon-rich sources are substantial, largely due to lack of knowledge about cloud interactions with both black carbon and co-emitted organic carbon. In prioritizing potential black-carbon mitigation actions, non-science factors, such as technical feasibility, costs, policy design, and implementation feasibility play important roles. The major sources of black carbon are presently in different stages with regard to the feasibility for near-term mitigation. This assessment, by evaluating the large number and complexity of the associated physical and radiative processes in black-carbon climate forcing, sets a baseline from which to improve future climate forcing estimates.

Potential influences on the United Kingdom's floods of winter 2013/14

During the winter of 2013/14, much of the UK experienced repeated intense rainfall events and flooding. This had a considerable impact on property and transport infrastructure. A key question is whether the burning of fossil fuels is changing the frequency of extremes, and if so to what extent. We assess the scale of the winter flooding before reviewing a broad range of Earth system drivers affecting UK rainfall. Some drivers can be potentially disregarded for these specific storms whereas others are likely to have increased their risk of occurrence. We discuss the requirements of hydrological models to transform rainfall into river flows and flooding. To determine any general changing flood risk, we argue that accurate modelling needs to capture evolving understanding of UK rainfall interactions with a broad set of factors. This includes changes to multiscale atmospheric, oceanic, solar and sea-ice features, and land-use and demographics. Ensembles of such model simulations may be needed to build probability distributions of extremes for both pre-industrial and contemporary concentration levels of atmospheric greenhouse gases.

A Posteriori analysis of discontinuous Galerkin schemes for systems of hyperbolic conservation laws

In this work we construct reliable a posteriori estimates for some semi- (spatially) discrete discontinuous Galerkin schemes applied to nonlinear systems of hyperbolic conservation laws. We make use of appropriate reconstructions of the discrete solution together with the relative entropy stability framework, which leads to error control in the case of smooth solutions. The methodology we use is quite general and allows for a posteriori control of discontinuous Galerkin schemes with standard flux choices which appear in the approximation of conservation laws. In addition to the analysis, we conduct some numerical benchmarking to test the robustness of the resultant estimator.

Nutritional information of meals supplied by companies, participating in the workers` meal program in Sao Paulo, Brazil

Objective. To compare the nutritional value of meals provided by companies participating in the Workers` Meal Program in the city of Sao Paulo, Brazil, to the nutritional recommendations and guidelines established by the Ministry of Health for the Brazilian population. Methods. The 72 companies studied were grouped according to economic sector (industrial, services, or commerce), size (micro, small, medium, or large), meal preparation modality (prepared on-site by the company itself, on-site by a hired caterer, or off-site by a hired caterer), and supervision by a dietitian (yes or no). The per capita amount of food was determined based on the lunch, dinner, and supper menus for three days. The nutritional value of the meals was defined by the amount of calories, carbohydrates, protein, total fat, polyunsaturated fat, saturated fat, trans fat, sugars, cholesterol, and fruits and vegetables. Results. Most of the menus were deficient in the number of fruits and vegetables (63.9%) and amount of polyunsaturated fat (83.3%), but high in total fat (47.2%) and cholesterol (62.5%). Group 2, composed of mostly medium and large companies, supervised by a dietician, belonging to the industrial and/or service sectors, and using a hired caterer, on averaged served meals with higher calorie content (P < 0.001), higher percentage of polyunsaturated fat (P < 0.001), more cholesterol (P = 0.015), and more fruits and vegetables (P < 0.001) than Group 1, which was composed of micro and small companies from the commercial sector, that prepare the meals themselves on-site, and are not supervised by a dietitian. Regarding the nutrition guidelines set for the Brazilian population, Group 2 meals were better in terms of fruit and vegetable servings (P < 0.001). Group I meals were better in terms of cholesterol content (P = 0.05). Conclusions. More specific action is required targeting company officers and managers in charge of food and nutrition services, especially in companies without dietitian supervision.

A GIS Suitability Analysis of Wolf Habitat in Maine

The range of the Gray Wolf (Canis lupus), once covering most of North America, has been drastically reduced by an estimated 95% due to habitat loss and extermination by humans. The wolf was extirpated from Maine in the 1800’s. Wolf reintroductions have been suggested for Maine, but there is some debate about how much land is suitable for wolves. I developed a wolf habitat suitability analysis using ArcGIS and data from the Maine Office of GIS and the United States National Atlas. The model incorporates land cover, presence of major roads and railways, conservation land, industrial, non-industrial, and public woodlot ownership, distance from major points of population, deer population, and slope. The model results show areas of high and low wolf suitability in Maine. The model suggests that the best potential habitat for wolves in Maine is situated in the northwest of the state. Possible future reintroductions or natural colonization from other areas would have the highest likelihood of survival in these areas.

Getúlio Vargas: o estadista, a nação e a democracia

Getulio Vargas foi o grande estadista do Brasil do século vinte. Vindo de uma família de senhores de terra, Getulio Vargas comandou a transição do Brasil de uma economia agrária para uma economia industrial. Um nacionalista, ele foi capaz de chamar os empresários industriais, a burocracia pública e os trabalhadores urbanos para um pacto político e uma estratégia nacionaldesenvolvimentista. Com um governo autoritário entre 1930 e 1945, ele quebrou a hegemonia das oligarquias agrária e mercantilista que dominavam o Brasil até então. Um populista, ele foi o primeiro político a estabelecer uma relação com o povo ao invés de apenas com suas elites. Em seu segundo governo, entre 1951 e 1954, ele completou seu projeto nacional. Depois dele e do governo Kubitschek, a revolução industrial e a capitalista do Brasil iniciada em 1940 podia ser considerada completa – o que abriu espaço para uma democracia mais consolidada no país.

O modelo instrumental e o modelo político de gestão de pessoas: uma análise em profundidade da implementação destes modelos em empresas brasileiras

A orientação teórica que divide a nossa sociedade em um modelo Industrial e em um modelo Pós-Industrial vem ganhando cada vez mais espaço e importância no estudo das organizações. Vários estudos acadêmicos nacionais e estrangeiros relatam o fato de que as organizações atuais mudam rapidamente o seu discurso a fim de adaptar-se às modificações que ocorrem nos processos produtivos e na gestão de pessoas, porém a implementação prática destas mudanças não ocorre de modo tão rápido quanto quer a mudança no discurso. Dado este período de transição, a distância entre a teoria professada e a prática efetiva nas organizações aumenta, surgindo maiores contradições entre discurso e prática, o que tem conseqüências para a produtividade. Estudamos neste projeto dois modelos de Gestão de Pessoas: O modelo Instrumental e o Modelo Político. Muitas organizações dizem que adotam o modelo Político, mas na prática mantém estruturas próximas ao modelo Instrumental. Neste relatório realizamos dois estudos de caso: Um em uma grande empresa nacional, a Souza Cruz, onde a empresa conseguiu superar a dicotomia discurso-ação implantando gradualmente o modelo Político de Recursos Humanos em consonância com a implementação de um sistema de informação que modificou toda a área de gestão de pessoas. Em segundo lugar, apresentamos um outro estudo de caso realizado em uma grande cooperativa Agro-Industrial onde já havia se consolidado práticas relativas ao modelo Político de Gestão de Pessoas e a implementação do modelo Instrumental, em uma ação top-down pelo presidente provocou fenômenos de resistência à mudança e a não implementação efetiva do ERP Entreprise Resource Planning na organização. Comparamos assim um estudo de caso que confirma a problemática levantada pela revisão da literatura (o da cooperativa) e um outro estudo de caso que oferece pistas de como evitar-se este problema, construir um sistema organizacional coerente e seguir em frente monitorando um sistema de aprendizagem baseado no modelo Político de Recursos Humanos.

A dialética da mudança: uma análise crítica do conceito de paradoxos organizacionais

A orientação teórica que divide a nossa sociedade em um modelo Industrial e em um modelo Pós-Industrial vem ganhando cada vez mais espaço e importância no estudo das organizações. Vários estudos acadêmicos nacionais e estrangeiros relatam o fato de que as organizações atuais mudam rapidamente o seu discurso a fim de adaptar-se às modificações que ocorrem nos processos produtivos e na gestão de pessoas, porém a implementação prática destas mudanças não ocorre de modo tão rápido quanto quer a mudança no discurso. Dado este período de transição, a distância entre a teoria professada e a prática efetiva nas organizações aumenta, surgindo maiores contradições entre discurso e prática, o que tem conseqüências para a produtividade. O Conceito de paradoxos organizacionais, tema clássico em administração desde os anos 50, volta a ganhar espaço nos estudos organizacionais dado os problemas emergentes nas organizações envolvendo contradições cada vez maiores entre o discurso e a prática. Após realizar uma revisão bibliográfica em 176 estudos e artigos representativos da produção acadêmica sobre o tema paradoxos, a grande maioria estudos acadêmicos estrangeiros e nacionais dos 5 últimos anos, constatamos que estes estudos inserem-se no paradigma pós-moderno e em estudos críticos que seguem 3 linhas de análise: Trabalhos baseados na Crítica à burocracia, trabalhos baseados na corrente psicodinâmica e trabalhos baseados no Interacionismo Simbólico e na Sociologia Interpretativa. Apresentamos neste relatório estas correntes, fazendo uma síntese dos pressupostos teóricos que embasam cada uma e a forma como cada uma trata do tema paradoxo e sua influência nas organizações.

Tecnologia e competitividade no Brasil - exploração integrada visando reconhecer os efeitos da introdução de novas tecnologias sobre a competitividade das empresas no contexto brasileiro

Esta pesquisa investiga as relações, nem sempre claras e explícitas, entre competitividade e inovação tecnológica, iniciando pelo referencial teórico. São estudados quatro casos de empresas, sendo três delas brasileiras e uma multinacional, dos setores de indústria e serviços. Dentre as conclusões, destaca-se a constatação de que a competitividade resulta da combinação de três dimensões: tecnologia, gestão (isto é, estratégia de negócio) e pessoas. Também se identificou uma íntima ligação entre inovação tecnológica e ganhos de market share. O estudo demonstra ainda que ganhos de competitividade com base tecnológica, ainda que significativos, são efêmeros, ou seja: a manutenção da vantagem competitiva é um processo dinâmico que exige permanentes esforços de inovação, inclusive com monitoramento constante do mercado e da concorrência. Outro aspecto investigado é o risco inerente à inovação, uma vez que o pioneirismo nem sempre encontra, de imediato, as soluções que se firmam como padrão no mercado. Finalmente, discorre-se também sobre o processo de decisão quanto a investimentos em tecnologia, apresentando modelos não quantitativos como auxiliares na análise e priorização de projetos inovadores.