Selected topics in teleparallel gravity

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization

In this paper we prove that the spatial discretization of a one dimensional system of parabolic equations. with suitably small step size, contains exactly the same asymptotic dynamics as the continuous problem. (C) 2000 Academic Press.

PM2.5 and PM10: The influence of sugarcane burning on potential cancer risk

In Brazil, sugarcane fields are often burned to facilitate manual harvesting, and this burning causes environmental pollution from the large amounts of soot released into the atmosphere. This material contains numerous organic compounds such as PAHs. In this study, the concentrations of PAHs in two particulate-matter fractions (PM2.5 and PM10) in the city of Araraquara (SE Brazil, with around 200,000 inhabitants and surrounded by sugarcane plantations) were determined during the sugarcane harvest (HV) and non-harvest (NHV) seasons in 2008 and 2009. The sampling strategy included four campaigns, with 60 samples in the NHV season and 220 samples in the HV season. The PM2.5 and PM10 fractions were collected using a dichotomous sampler (10 L min(-1), 24 h) with Teflon (TM) filters. The filter sets were extracted (ultrasonic bath with hexane/acetone (1:1 v/v)) and analyzed by HPLC/Fluorescence. The median concentration for total PAHs (PM2.5 in 2009) was 0.99 ng m(-3) (NHV) and 3.3 ng m(-3) (HV). In the HV season, the total concentration of carcinogenic PAHs (benz(a)anthracene, benzo(b)fluoranthene, benzo(k)fluoranthene, and benzo(a)pyrene) was 5 times higher than in the NHV season. B(a)P median concentrations were 0.017 ng m(-3) and 0.12 ng m(-3) for the NHV and HV seasons, respectively. The potential cancer risk associated with exposure through inhalation of these compounds was estimated based on the benzo[a]pyrene toxic equivalence (BaPeq), where the overall toxicity of a PAR mixture is defined by the concentration of each compound multiplied by its relative toxic equivalence factor (TEF). BaPeq median (2008 and 2009 years) ranged between 0.65 and 1.0 ng m(-3) and 1.2-1.4 ng m(-3) for the NHV and HV seasons, respectively. Considering that the maximum permissible BaPeq in ambient air is 1 ng m(-3), related to the increased carcinogenic risk, our data suggest that the level of human exposure to PAHs in cities surrounded by sugarcane crops where the burning process is used is cause for concern. (C) 2010 Published by Elsevier Ltd.

Construção de conceitos de física moderna e sobre a natureza da ciência com o suporte da hipermídia

Apresentam-se os resultados de uma pesquisa sobre a construção de conceitos de Física Moderna e sobre a natureza da Ciência com o apoio da hipermídia, que envolveu a produção e avaliação de um software educacional. A proposta didática fundamentou-se na Teoria da Aprendizagem de Ausubel, em orientações para a implementação de sistemas hipermídia educacionais e em abordagens derivadas da pesquisa em Ensino de Ciências, dentre as quais o enfoque Ciência-Tecnologia-Sociedade, ponderações quanto à importância pedagógica da História e Filosofia da Ciência e considerações sobre a inserção de Física Moderna no Ensino Médio. O programa foi avaliado por pesquisadores de Ensino de Física e licenciandos de Física e, após a incorporação de algumas sugestões realizadas, foi testado por estudantes do terceiro ano do Ensino Médio de uma escola pública. Obtiveram-se indícios de que o uso do computador foi fator de motivação dos estudantes; a diversidade de elementos de mídia auxiliou-os a fixar a atenção sobre o conteúdo e favoreceu a visualização e interpretação dos fenômenos, facilitando ainda o raciocínio; o hipertexto estruturado em conformidade com princípios ausubelianos contribuiu para a percepção da relação entre os conceitos e ajudou no desenvolvimento de subsunçores para apoiar a aprendizagem subseqüente. Constatou-se que a proposta didática avaliada favoreceu a evolução das concepções da maior parte dos estudantes quanto ao conceito de equivalência massa-energia e suas implicações; às relações entre Ciência, Tecnologia e Sociedade, incluindo aspectos ambientais e políticos; ao papel da Ética no desenvolvimento e aplicação dos conhecimentos científicos; ao progresso da Ciência ao longo do tempo.

Correspondência idiomática intra e interlínguas

Este artigo aborda a questão da equivalência na tradução de expressões idiomáticas para a lexicografia bilíngüe. Considera­se que a fim de se alcançar uma equivalência idiomática o significado da palavra não é fixo nem estável e que se faz necessária uma pesquisa detalhada em vários dicionários bem como junto a informantes nativos.

Dialética da pratica e ação sem prática

O conceito de prática recobriria o de sistema de ação, não fosse a existência de sistemas de ação sem prática. Resta que uma prática é um sistema de ação. Como conseqüência, suposta a reciprocação de sistema com teoria e uma atenta inspeção nos termos da proposição, há equivalência semântica entre prática teóricae sistema de ação prático. Num e noutro caso, a contradição interna aos pares de conceitos se resolve dialeticamente. Graças à dialética, são fundidos numa unidade de sentido, síntese de tensões opostas. Daí a proposta de uma dialética da prática global, conjuntamente abstrata e histórica. Destotalizada ou à margem dessa dialética, pode ser destacada a ação sem prática, exemplificada no drama. Dramática é precisamente uma ação que não é prática. O tempo e o lugar da prática são a história e o mundo do homem; o tempo e o lugar do drama são a ficção cultural e a substância simbólica. Mimese da prática, o drama, reproduz, não os traços do modelo, mas a sua produção, tornando-se por sua vez modelo do modelo. Mimese não é cópia, é forma autônoma de eficiência, paradoxalmente sem prática mas especular.

Conceito de número: uma contribuição da análise comportamental da cognição

Fundamenta-se o presente estudo na análise comportamental da cognição, cujas formulações permitem compreender o conceito de número como uma rede de relações entre estímulos e/ou entre estímulos e respostas. O desempenho de seis crianças de três a sete anos de idade e uma adolescente portadora da Síndrome de Down foi analisado em uma série de tarefas consideradas pré-requisitos para aprendizagens matemáticas mais complexas. Para isso, foi utilizada uma versão informatizada do procedimento de discriminação condicional em um contexto de matching to sample. As relações presentes, ausentes e as não bem estabelecidas no repertório dos sujeitos foram graficamente representadas em diagramas que configuram-se como que retratos do repertório individual. Tal recurso facilita o planejamento do ensino estratégico de umas poucas relações com vistas à emergência das relações ausentes e/ou o fortalecimento daquelas nas quais o sujeito apresenta desempenho pobre, de modo a completar a rede. A guisa de conjeturas, apresentam-se sugestões de intervenção.

On the coupling of the self-dual field to dynamical U(1) matter and its dual theory

We consider arbitrary U (1) charged matter non-minimally coupled to the self-dual field in d = 2 + 1. The coupling includes a linear and a rather general quadratic term in the self-dual field. By using both Lagragian gauge embedding and master action approaches we derive the dual Maxwell Chern-Simons-type model and show the classical equivalence between the two theories. At the quantum level the master action approach in general requires the addition of an awkward extra term to the Maxwell Chern-Simons-type theory. Only in the case of a linear coupling in the self-dual field can the extra term be dropped and we are able to establish the quantum equivalence of gauge invariant correlation functions in both theories.

On the value function for nonautonomous optimal control problems with infinite horizon

In this paper we consider nonautonomous optimal control problems of infinite horizon type, whose control actions are given by L-1-functions. We verify that the value function is locally Lipschitz. The equivalence between dynamic programming inequalities and Hamilton-Jacobi-Bellman (HJB) inequalities for proximal sub (super) gradients is proven. Using this result we show that the value function is a Dini solution of the HJB equation. We obtain a verification result for the class of Dini sub-solutions of the HJB equation and also prove a minimax property of the value function with respect to the sets of Dini semi-solutions of the HJB equation. We introduce the concept of viscosity solutions of the HJB equation in infinite horizon and prove the equivalence between this and the concept of Dini solutions. In the Appendix we provide an existence theorem. (c) 2006 Elsevier B.V. All rights reserved.

REDUCTION OF TODA LATTICE HIERARCHY TO GENERALIZED KDV HIERARCHIES AND THE 2-MATRIX MODEL

Toda lattice hierarchy and the associated matrix formulation of the 2M-boson KP hierarchies provide a framework for the Drinfeld-Sokolov reduction scheme realized through Hamiltonian action within the second KP Poisson bracket. By working with free currents, which Abelianize the second KP Hamiltonian structure, we are able to obtain a unified formalism for the reduced SL(M + 1, M - k) KdV hierarchies interpolating between the ordinary KP and KdV hierarchies. The corresponding Lax operators are given as superdeterminants of graded SL(M + 1, M - k) matrices in the diagonal gauge and we describe their bracket structure and field content. In particular, we provide explicit free field representations of the associated W(M, M - k) Poisson bracket algebras generalising the familiar nonlinear W-M+1 algebra. Discrete Backlund transformations for SL(M + 1, M - k) KdV are generated naturally from lattice translations in the underlying Toda-like hierarchy. As an application we demonstrate the equivalence of the two-matrix string model to the SL(M + 1, 1) KdV hierarchy.

Relational learning in children with deafness and cochlear implants

This four-experiment series sought to evaluate the potential of children with neurosensory deafness and cochlear implants to exhibit auditory-visual and visual-visual stimulus equivalence relations within a matching-to-sample format. Twelve children who became deaf prior to acquiring language (prelingual) and four who became deaf afterwards (postlingual) were studied. All children learned auditory-visual conditional discriminations and nearly all showed emergent equivalence relations. Naming tests, conducted with a subset of the: children, showed no consistent relationship to the equivalence-test outcomes.. This study makes several contributions: to the literature on stimulus equivalence. First; it demonstrates that both pre- and postlingually deaf children-can: acquire auditory-visual equivalence-relations after cochlear implantation, thus demonstrating symbolic functioning. Second, it directs attention to a population that may be especially interesting for researchers seeking to analyze the relationship. between speaker and listener repertoires. Third, it demonstrates the feasibility of conducting experimental studies of stimulus control processes within the limitations of a hospital, which these children must visit routinely for the maintenance of their cochlear implants.

NOx and CO emissions and soot presence in partially premixed acoustically excited flames

The pulsating combustion process has attracted interest in current research because its application in energy generation can offer several advantages, such as fuel economy, reduced pollutants formation, increased rate of convective heat transfer and reduced investment, when compared with other new techniques of combustion. An experimental study has been conducted with the objective of investigating the effects of combustion driven acoustic oscillations in the emission rates of combustion gases, especially carbon monoxide and nitrogen oxides, and soot presence in partial premixed flames in confined partially premixed liquefied petroleum gas flames. The results basically showed that a more uniform fuel/air mixture due to the presence of an acoustic field increases the NOx emissions in operations close to stoichiometric equivalence ratios and the frequency is the most important parameter. Carbon monoxide and soot reduced significantly.

On the quantum Hamilton-Jacobi formalism

Some postulates are introduced to go from the classical Hamilton-Jacobi theory to the quantum one. We develop two approaches in order to calculate propagators, establishing the connection between them and showing the equivalence of this picture with more known ones such as the Schrödinger's and the Feynman's formalisms. Applications of the above-mentioned approaches to both the standard case of the harmonic oscillator and to the harmonic oscillator with time-dependent parameters are made. © 1991 Plenum Publishing Corporation.

Do static sources outside a Schwarzschild black hole radiate?

We show that static sources coupled to a massless scalar field in Schwarzschild spacetime give rise to emission and absorption of zero-energy particles due to the presence of Hawking radiation. This is in complete analogy with the description of the bremsstrahlung by a uniformly accelerated charge from the coaccelerated observers' point of view. The response rate of the source is found to coincide with that in Minkowski spacetime as a function of its proper acceleration. It is interesting that this quantum result appears to reflect the classical equivalence principle.

Dimensional versus cut-off renormalization and the nucleon-nucleon interaction

The role of dimensional regularization is discussed and compared with that of cut-off regularization in some quantum mechanical problems with ultraviolet divergence in two and three dimensions with special emphasis on the nucleon-nucleon interaction. Both types of renormalizations are performed for attractive divergent one- and two-term separable potentials, a divergent tensor potential, and the sum of a delta function and its derivatives. We allow energy-dependent couplings, and determine the form that these couplings should take if equivalence between the two regularization schemes is to be enforced. We also perform renormalization of an attractive separable potential superposed on an analytic divergent potential.