940 resultados para 010300 NUMERICAL AND COMPUTATIONAL MATHEMATICS


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We present numerical and analytical results for the Mollow probe absorption spectrum of a coherently driven two-level system in a narrow bandwidth squeezed vacuum field. The spectra are calculated for the case where the Rabi frequency of the driving field is much larger than the natural linewidth and the squeezed vacuum carrier frequency is detuned from the driving laser frequency. The driving laser is on resonance. We show that in a detuned squeezed vacuum the standard Mellow features are each split into triplets. The central components of each triplet are weakly dependent on the squeezing phase but the sidebands strongly depend on the phase and can have dispersive or absorptive/emissive profiles. We also derive approximate analytical expressions for the spectral features and find that the multi-peak structure of the spectrum can be interpreted either via the eigenfrequencies of a generalized Floquet Hamiltonian or in terms of three-photon transitions between dressed stales involving a probe field photon and a correlated photon pair from the squeezed vacuum field.

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A case sensitive intelligent model editor has been developed for constructing consistent lumped dynamic process models and for simplifying them using modelling assumptions. The approach is based on a systematic assumption-driven modelling procedure and on the syntax and semantics of process,models and the simplifying assumptions.

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We show the results in Chalishajar [Controllability of mixed Volterra-Fredholm-type integro-differential systems in Banach space, J. Franklin Inst. 344(1) (2007) 12-21] and Chang and Chalishajar [Controllability of mixed Volterra-Fredholm type integro-differential systems in Banach space, J. Franklin Inst., doi:10.1016/j. jfranklin.2008.02.002] are only valid for ordinary differential control systems. As a result the examples provided cannot be recovered as applications of the abstract results. (C) 2008 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

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This volume includes numerous introductory chapters on the basic concepts and practice of prokaryotic taxonomy in addition to detailed descriptions of the Archaea, phototrophic bacteria and some very deep bacterial phyla. Introductory chapters include the topics of classification of prokaryotes, the concept of bacterial speciation, numerical and polyphasic taxonomy, bacterial nomenclature and the etymology of prokaryotic names, nucleic acid probes and their application in environmental microbiology, culture collections, and the intellectual property of prokaryotes. The first Road Map to the prokaryotes is included as well as an overview of the phylogenetic backbone and taxonomic framework for prokaryotic systematics.

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It has been previously shown by Lindner and Rodger that quasigroups associated with 2-perfect extended m-cycle systems can be equationally defined if and only if m is an element of {3, 5, 7}. In this paper we present a single identity for each such m which is equivalent to the identities given for these varieties.

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Resonance phenomena associated with the unimolecular dissociation of HO2 have been investigated quantum-mechanically by the Lanczos homogeneous filter diagonalization (LHFD) method. The calculated resonance energies, rates (widths), and product state distributions are compared to results from an autocorrelation function-based filter diagonalization (ACFFD) method. For calculating resonance wave functions via ACFFD, an analytical expression for the expansion coefficients of the modified Chebyshev polynomials is introduced. Both dissociation rates and product state distributions of O-2 show strong fluctuations, indicating the dissociation of HO2 is essentially irregular. (C) 2001 American Institute of Physics.

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Time-dependent wavepacket evolution techniques demand the action of the propagator, exp(-iHt/(h)over-bar), on a suitable initial wavepacket. When a complex absorbing potential is added to the Hamiltonian for combating unwanted reflection effects, polynomial expansions of the propagator are selected on their ability to cope with non-Hermiticity. An efficient subspace implementation of the Newton polynomial expansion scheme that requires fewer dense matrix-vector multiplications than its grid-based counterpart has been devised. Performance improvements are illustrated with some benchmark one and two-dimensional examples. (C) 2001 Elsevier Science B.V. All rights reserved.

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Let g be the genus of the Hermitian function field H/F(q)2 and let C-L(D,mQ(infinity)) be a typical Hermitian code of length n. In [Des. Codes Cryptogr., to appear], we determined the dimension/length profile (DLP) lower bound on the state complexity of C-L(D,mQ(infinity)). Here we determine when this lower bound is tight and when it is not. For m less than or equal to n-2/2 or m greater than or equal to n-2/2 + 2g, the DLP lower bounds reach Wolf's upper bound on state complexity and thus are trivially tight. We begin by showing that for about half of the remaining values of m the DLP bounds cannot be tight. In these cases, we give a lower bound on the absolute state complexity of C-L(D,mQ(infinity)), which improves the DLP lower bound. Next we give a good coordinate order for C-L(D,mQ(infinity)). With this good order, the state complexity of C-L(D,mQ(infinity)) achieves its DLP bound (whenever this is possible). This coordinate order also provides an upper bound on the absolute state complexity of C-L(D,mQ(infinity)) (for those values of m for which the DLP bounds cannot be tight). Our bounds on absolute state complexity do not meet for some of these values of m, and this leaves open the question whether our coordinate order is best possible in these cases. A straightforward application of these results is that if C-L(D,mQ(infinity)) is self-dual, then its state complexity (with respect to the lexicographic coordinate order) achieves its DLP bound of n /2 - q(2)/4, and, in particular, so does its absolute state complexity.

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Thermogravimetric analysis has been widely applied in kinetic studies of carbon gasification, with the associated temporal weight change profiles being used to extract kinetic information and to validate gasification models. However the weight change profiles are not always governed by the intrinsic gasification activity because of the effect of chemisorption and its dynamics. In the present work we theoretically determine the criteria under which weight change profiles can be used to determine intrinsic kinetics for CO2 and O2 gasification by examining the region in which the chemisorption dynamics can be assumed pseudo-steady. It is found that the validity of the pseudo-steady assumption depends on the experimental conditions as well as on the initial surface area of carbon. Based on known mechanisms and rate constants an active surface area region is identified within which the steady state assumption is valid and the effect of chemisorption dynamics is negligible. The size of the permissible region is sensitive to the reaction temperature and gas pressure. The results indicate that in some cases the thermogravimetric data should be used with caution in kinetic studies. A large amount of literature on thermogravimetric analyzer determined char gasification kinetics is examined and the importance of chemisorption dynamics for the data assessed.

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Intervalley interference between degenerate conduction band minima has been shown to lead to oscillations in the exchange energy between neighboring phosphorus donor electron states in silicon [B. Koiller, X. Hu, and S. Das Sarma, Phys. Rev. Lett. 88, 027903 (2002); Phys. Rev. B 66, 115201 (2002)]. These same effects lead to an extreme sensitivity of the exchange energy on the relative orientation of the donor atoms, an issue of crucial importance in the construction of silicon-based spin quantum computers. In this article we calculate the donor electron exchange coupling as a function of donor position incorporating the full Bloch structure of the Kohn-Luttinger electron wave functions. It is found that due to the rapidly oscillating nature of the terms they produce, the periodic part of the Bloch functions can be safely ignored in the Heitler-London integrals as was done by Koiller, Hu, and Das Sarma, significantly reducing the complexity of calculations. We address issues of fabrication and calculate the expected exchange coupling between neighboring donors that have been implanted into the silicon substrate using an 15 keV ion beam in the so-called top down fabrication scheme for a Kane solid-state quantum computer. In addition, we calculate the exchange coupling as a function of the voltage bias on control gates used to manipulate the electron wave functions and implement quantum logic operations in the Kane proposal, and find that these gate biases can be used to both increase and decrease the magnitude of the exchange coupling between neighboring donor electrons. The zero-bias results reconfirm those previously obtained by Koiller, Hu, and Das Sarma.

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Talvez não seja nenhum exagero afirmar que há quase um consenso entre os praticantes da Termoeconomia de que a exergia, ao invés de só entalpia, seja a magnitude Termodinâmica mais adequada para ser combinada com o conceito de custo na modelagem termoeconômica, pois esta leva em conta aspectos da Segunda Lei da Termodinâmica e permite identificar as irreversibilidades. Porém, muitas vezes durante a modelagem termoeconômica se usa a exergia desagregada em suas parcelas (química, térmica e mecânica), ou ainda, se inclui a neguentropia que é um fluxo fictício, permitindo assim a desagregação do sistema em seus componentes (ou subsistemas) visando melhorar e detalhar a modelagem para a otimização local, diagnóstico e alocação dos resíduos e equipamentos dissipativos. Alguns autores também afirmam que a desagregação da exergia física em suas parcelas (térmica e mecânica) permite aumentar a precisão dos resultados na alocação de custos, apesar de fazer aumentar a complexidade do modelo termoeconômico e consequentemente os custos computacionais envolvidos. Recentemente alguns autores apontaram restrições e possíveis inconsistências do uso da neguentropia e deste tipo de desagregação da exergia física, propondo assim alternativas para o tratamento de resíduos e equipamentos dissipativos que permitem a desagregação dos sistemas em seus componentes. Estas alternativas consistem, basicamente, de novas propostas de desagregação da exergia física na modelagem termoeconômica. Sendo assim, este trabalho tem como objetivo avaliar as diferentes metodologias de desagregação da exergia física para a modelagem termoeconômica, tendo em conta alguns aspectos como vantagens, restrições, inconsistências, melhoria na precisão dos resultados, aumento da complexidade e do esforço computacional e o tratamento dos resíduos e equipamentos dissipativos para a total desagregação do sistema térmico. Para isso, as diferentes metodologias e níveis de desagregação da exergia física são aplicados na alocação de custos para os produtos finais (potência líquida e calor útil) em diferentes plantas de cogeração considerando como fluido de trabalho tanto o gás ideal bem como o fluido real. Plantas essas com equipamentos dissipativos (condensador ou válvula) ou resíduos (gases de exaustão da caldeira de recuperação). Porém, foi necessário que uma das plantas de cogeração não incorporasse equipamentos dissipativos e nem caldeira de recuperação com o intuito de avaliar isoladamente o efeito da desagregação da exergia física na melhoria da precisão dos resultados da alocação de custos para os produtos finais.

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No dia a dia, as pessoas sabem que existem várias aplicações financeiras, mas a grande maioria não possui o conhecimento necessário para escolher qual o melhor investimento para o seu dinheiro. E assim, muitas vezes acabam investindo somente na poupança, talvez pela sua simplicidade ou por sua popularidade. Neste trabalho, buscamos mostrar a importância da Matemática Financeira para o entendimento de investimentos. Através de uma abordagem de Progressões Geométrica e Aritmética e, consequentemente, da Matemática Financeira, são apresentadas algumas aplicações financeiras, com seus conceitos, cálculos e atividades que mostram como compará-las. Assim, no trabalho são descritos conceitos e propriedades das Progressões Geométrica e Aritmética, e da Matemática Financeira e, como aplicação desse conteúdo, são apresentados o conceito e o cálculo de diversas taxas (equivalência de taxas, taxas efetiva e nominal, taxa pré e pós-fixada, taxas variáveis, taxa referencial), além de alguns investimentos financeiros (poupança, CDB, LCI). Buscando consolidar esse estudo desenvolvido, apresentamos no final do trabalho uma proposta de atividades a serem realizadas em sala de aula, que contemplam cálculos da rentabilidade dos investimentos, mostrando ao aluno como calcular e comparar esses rendimentos.

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Dissertação (mestrado)—Universidade de Brasília, Faculdade de Tecnologia, Departamento de Engenharia Civil e Ambiental, 2016.

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As wind power generation undergoes rapid growth, lightning and overvoltage incidents involving wind power plants have come to be regarded as a serious problem. Firstly, lightning location systems are discussed, as well as important parameters regarding lightning protection. Also, this paper presents a case study, based on a wind turbine with an interconnecting transformer, for the study of adequate lightning and overvoltage protection measures. The electromagnetic transients circuit under study is described, and computational results are presented.

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Mestrado em Radiações Aplicadas às Tecnologias da Saúde. Área de especialização: Protecção contra Radiações