917 resultados para Polynomial powers of sigmoid
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Universidade Estadual de Campinas. Faculdade de Educação Física
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This paper makes two points. First, we show that the line-of-sight solution to cosmic microwave anisotropies in Fourier space, even though formally defined for arbitrarily large wavelengths, leads to position-space solutions which only depend on the sources of anisotropies inside the past light cone of the observer. This foretold manifestation of causality in position (real) space happens order by order in a series expansion in powers of the visibility gamma = e(-mu), where mu is the optical depth to Thomson scattering. We show that the contributions of order gamma(N) to the cosmic microwave background (CMB) anisotropies are regulated by spacetime window functions which have support only inside the past light cone of the point of observation. Second, we show that the Fourier-Bessel expansion of the physical fields (including the temperature and polarization momenta) is an alternative to the usual Fourier basis as a framework to compute the anisotropies. The viability of the Fourier-Bessel series for treating the CMB is a consequence of the fact that the visibility function becomes exponentially small at redshifts z >> 10(3), effectively cutting off the past light cone and introducing a finite radius inside which initial conditions can affect physical observables measured at our position (x) over right arrow = 0 and time t(0). Hence, for each multipole l there is a discrete tower of momenta k(il) (not a continuum) which can affect physical observables, with the smallest momenta being k(1l) similar to l. The Fourier-Bessel modes take into account precisely the information from the sources of anisotropies that propagates from the initial value surface to the point of observation-no more, no less. We also show that the physical observables (the temperature and polarization maps), and hence the angular power spectra, are unaffected by that choice of basis. This implies that the Fourier-Bessel expansion is the optimal scheme with which one can compute CMB anisotropies.
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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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O presente trabalho objetiva avaliar o desempenho do MECID (Método dos Elementos de Contorno com Interpolação Direta) para resolver o termo integral referente à inércia na Equação de Helmholtz e, deste modo, permitir a modelagem do Problema de Autovalor assim como calcular as frequências naturais, comparando-o com os resultados obtidos pelo MEF (Método dos Elementos Finitos), gerado pela Formulação Clássica de Galerkin. Em primeira instância, serão abordados alguns problemas governados pela equação de Poisson, possibilitando iniciar a comparação de desempenho entre os métodos numéricos aqui abordados. Os problemas resolvidos se aplicam em diferentes e importantes áreas da engenharia, como na transmissão de calor, no eletromagnetismo e em problemas elásticos particulares. Em termos numéricos, sabe-se das dificuldades existentes na aproximação precisa de distribuições mais complexas de cargas, fontes ou sorvedouros no interior do domínio para qualquer técnica de contorno. No entanto, este trabalho mostra que, apesar de tais dificuldades, o desempenho do Método dos Elementos de Contorno é superior, tanto no cálculo da variável básica, quanto na sua derivada. Para tanto, são resolvidos problemas bidimensionais referentes a membranas elásticas, esforços em barras devido ao peso próprio e problemas de determinação de frequências naturais em problemas acústicos em domínios fechados, dentre outros apresentados, utilizando malhas com diferentes graus de refinamento, além de elementos lineares com funções de bases radiais para o MECID e funções base de interpolação polinomial de grau (um) para o MEF. São geradas curvas de desempenho através do cálculo do erro médio percentual para cada malha, demonstrando a convergência e a precisão de cada método. Os resultados também são comparados com as soluções analíticas, quando disponíveis, para cada exemplo resolvido neste trabalho.
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We define nonautonomous graphs as a class of dynamic graphs in discrete time whose time-dependence consists in connecting or disconnecting edges. We study periodic paths in these graphs, and the associated zeta functions. Based on the analytic properties of these zeta functions we obtain explicit formulae for the number of n-periodic paths, as the sum of the nth powers of some specific algebraic numbers.
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IET Control Theory & Applications, Vol. 1, Nº 1
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This paper studies several topics related with the concept of “fractional” that are not directly related with Fractional Calculus, but can help the reader in pursuit new research directions. We introduce the concept of non-integer positional number systems, fractional sums, fractional powers of a square matrix, tolerant computing and FracSets, negative probabilities, fractional delay discrete-time linear systems, and fractional Fourier transform.
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Dissertação de Mestrado em Solicitadoria
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This paper studies several topics related with the concept of “fractional” that are not directly related with Fractional Calculus, but can help the reader in pursuit new research directions. We introduce the concept of non-integer positional number systems, fractional sums, fractional powers of a square matrix, tolerant computing and FracSets, negative probabilities, fractional delay discrete-time linear systems, and fractional Fourier transform.
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Dissertação de Mestrado em Solicitaria
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Portugal was one of the first and most enduring European colonial powers of modern times: 1415 and 1975 mark the beginning and the end of a long empire cycle that left impressive imprints in many places. Since it started, the overseas expansion and the exploration of the colonial resources were closely articulated with state-building and the preservation of national independence. A forerunner at the Great Age of Discoveries, but a latecomer in the era of industrialization, in the 19th and early-20th centuries Portugal was a peripheral country, and the economic gap with the rich and industrialized core of Europe was wide. During this period, however, the country faced the critical challenge of ruling vast and geographically scattered overseas territories, and of preserving them from the greed of strong imperialist powers. This article starts by outlining the major developments in the Portuguese colonial policy over a century, since the 1820s until 1926. The independence of Brazil (1822) was a crucial turning point, which brought about a shift towards Africa. The First Republic (1910-1926), pervaded by a nationalist ideology, gave a new impetus to the efforts towards a more effective colonisation. Symptomatically, a Ministry of Colonies was then established for the first time. Second, it describes and analyses the transformation of the central office for colonial affairs – from a small ministerial department to an autonomous ministry -, stressing the increasing bureaucratic specialisation, the growth of the apparatus and its staff, and the introduction of new criteria for the selection and promotion of permanent officials (namely a higher profile given to careers in local colonial administration). Finally, it presents a collective biography of both the politicians (Cabinet ministers) and the administrators (directors-general) who ran the Colonial Office for a large period of the Constitutional Monarchy (from 1851 to 1910) and during the First Republic, thus enabling to assess the impact of regime change on elite circulation and career patterns.
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In the present thesis, we examine the approach to the so-called “informal conversations”, especially between a suspect or defendant and criminal police authorities. Our goal is to understand if criminal police authorities are allowed to testify about the content of these conversations, revealing facts that the suspect or defendant may have shared with them, as well as about evidence that they may have acquired through these statements. Firstly, we briefly present the notion of “informal conversations” and the great variety of situations they may encompass: intra or extra-procedural; prior or subsequent to someone acquires the status of defendant. Secondly, we analyse some of the principles and rules that are involved in this controversial issue: principles concerning the procedural structure, organization and dynamic; principles concerning the production and assessment of evidence in the trial hearing; principles concerning the prosecution and the powers of criminal police authorities; the procedural status of the defendant; the rules concerning the reading of statements in the trial hearing; the rules concerning hearsay testimonies. Thirdly, we go through the great amount of case law on the so-called “informal conversations” and related matters, analysing the most relevant cases and the arguments that sustain them, as well as the legal literature. Our goal is to understand the evolution, throughout the last two decades, of the different opinions regarding the approach to the various situations in which “informal conversations” may occur and in which the admissibility of a testimony by criminal police authorities is questioned. Finally, we defend a different approach for testimonies by criminal police authorities prior and subsequent to someone acquiring the status of defendant. We see the moment when someone acquires the status of defendant as a border area in the admissibility of “informal conversations”, because from then on the statements have to be collected and assessed according to the law, so all the other conversations (or any other evidence) collected informally are irrelevant. As to the specific case of the testimony about the re-enactment of the crime, given the high degree of difficulty in separating the defendant’s contributions that may be considered essential and those that may be considered less useful, but still relevant, we support the qualification of the defendant’s contributions as inseparable from the re-enactment, allowing it to be replicated and assessed in the trial hearing with no restrictions.
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This report is the outcome of an internship that took place in Centro de Arbitragem Comercial da Câmara de Comércio e Indústria Portuguesa and its completion is an essential part of the path towards obtaining the Master’s Degree in Faculdade de Direito da Universidade Nova de Lisboa. This report has been structured in two stages – firstly, the presentation of the Centro de Arbitragem Comercial, focusing on its field of expertise, organic structure, principles and advantages. Then, the description of the activities developed within the Secretariat over the several stages of the arbitration procedure – since the reception of the arbitration requirement in institutional proceedings, terms of reference in ad hoc procedures, through the monitoring of the arbitral tribunal sessions (preliminary hearings, submission of evidence and final allegations) and the notification of the arbitration award. The second stage of this report is related to the description of the functions and powers of the President of Centro de Arbitragem Comercial. Firstly, it defines those powers by analyzing the statutes and rules of proceedings of the Centro de Arbitragem, drawing comparisons between the above mention and the rules of proceedings of others arbitral institutional centres, some of them are international references. The report assesses and describes the presidential powers, such as: configuration and composition of the arbitral tribunal (including arbitrator’s replacements, excuses and refusals); deadline extensions; determination of procedural rules and decision-making on any procedural incidents which arise before the constitution of the arbitral tribunal; definition of arbitration costs and fees; joinder of parties and consolidation of proceedings admission; and appointment of an emergency arbitrator. Lastly, this report analyzes some decisions delivered by the President in the respective institutional procedures which took place in the Centre.
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This report is the outcome of an internship that took place in Centro de Arbitragem Comercial da Câmara de Comércio e Indústria Portuguesa and its completion is an essential part of the path towards obtaining the Master’s Degree in Faculdade de Direito da Universidade Nova de Lisboa. This report has been structured in two stages – firstly, the presentation of the Centro de Arbitragem Comercial, focusing on its field of expertise, organic structure, principles and advantages. Then, the description of the activities developed within the Secretariat over the several stages of the arbitration procedure – since the reception of the arbitration requirement in institutional proceedings, terms of reference in ad hoc procedures, through the monitoring of the arbitral tribunal sessions (preliminary hearings, submission of evidence and final allegations) and the notification of the arbitration award. The second stage of this report is related to the description of the functions and powers of the President of Centro de Arbitragem Comercial. Firstly, it defines those powers by analyzing the statutes and rules of proceedings of the Centro de Arbitragem, drawing comparisons between the above mention and the rules of proceedings of others arbitral institutional centres, some of them are international references. The report assesses and describes the presidential powers, such as: configuration and composition of the arbitral tribunal (including arbitrator’s replacements, excuses and refusals); deadline extensions; determination of procedural rules and decision-making on any procedural incidents which arise before the constitution of the arbitral tribunal; definition of arbitration costs and fees; joinder of parties and consolidation of proceedings admission; and appointment of an emergency arbitrator. Lastly, this report analyzes some decisions delivered by the President in the respective institutional procedures which took place in the Centre.
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Dissertação de mestrado em Direito Administrativo