929 resultados para Fundamental Domains
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In the presence of a cosmological constant, ordinary Poincaré special relativity is no longer valid and must be replaced by a de Sitter special relativity, in which Minkowski space is replaced by a de Sitter spacetime. In consequence, the ordinary notions of energy and momentum change, and will satisfy a different kinematic relation. Such a theory is a different kind of a doubly special relativity. Since the only difference between the Poincaré and the de Sitter groups is the replacement of translations by certain linear combinations of translations and proper conformal transformations, the net result of this change is ultimately the breakdown of ordinary translational invariance. From the experimental point of view, therefore, a de Sitter special relativity might be probed by looking for possible violations of translational invariance. If we assume the existence of a connection between the energy scale of an experiment and the local value of the cosmological constant, there would be changes in the kinematics of massive particles which could hopefully be detected in high-energy experiments. Furthermore, due to the presence of a horizon, the usual causal structure of spacetime would be significantly modified at the Planck scale. © 2007 American Institute of Physics.
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OBJECTIVE: This study aimed to classify and determine the prevalence of individuals with vertical alteration of facial relationships, according to the severity of discrepancy, especially individuals with long face pattern. METHODS: The sample was composed of 5,020 individuals of Brazilian nationality, of both genders, aged 10 years to 16 years and 11 months, attending fundamental schools at the city of Bauru-SP. Examination of facial morphology comprised direct observation of the face in frontal and lateral views, always with the lips at rest, aiming to identify the individuals presenting vertical alteration of facial relationships. After identification, these individuals were scored, according to severity, into three subtypes, namely mild, moderate and severe. The prevalence of individuals with long face pattern considered only the individuals scored as subtypes moderate and severe. RESULTS: There was prevalence of 34.94% of vertical alteration of facial relationships and 14.06% of long face pattern. CONCLUSIONS: The results obtained in this study revealed that the prevalence of vertical alteration of facial relationships and long face pattern was higher than reported in the literature.
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In this work we analyze the convergence of solutions of the Poisson equation with Neumann boundary conditions in a two-dimensional thin domain with highly oscillatory behavior. We consider the case where the height of the domain, amplitude and period of the oscillations are all of the same order, and given by a small parameter e > 0. Using an appropriate corrector approach, we show strong convergence and give error estimates when we replace the original solutions by the first-order expansion through the Multiple-Scale Method.
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Pós-graduação em Educação - FFC
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Pós-graduação em Educação - IBRC
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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Pós-graduação em Estudos Linguísticos - IBILCE
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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)