This thesis concerns the absolute convergence of the Fourier series of functions belonging to certain Lipschitz classes on totally disconnected groups. The technique used is one of interpolating between certain endpoint results which are proven directly. These results are shown to be best possible and a counterexample in interpolation theory is given. / Science, Faculty of / Mathematics, Department of / Graduate

The field of infinite series is so large that any investigation into that field must necessarily be limited to a particular phase. An attempt has been made to develop a number of tests having a wide range of applications. Particular emphasis has been placed on tests for series of positive terms.

La investigación sobre comunicación se ha centrado tradicionalmente en los productos basados en el pensamiento ilustrado y racional (información política, información económica, géneros de opinión...) y ha despreciado otros productos (ficción, prensa femenina...) basados en el pensamiento de carácter simbólico que apelan a los sentimientos y que “no se ajustan a los esquemas valorativos logocéntricos”. Las series de ficción televisivas forman parte de la cotidianidad de muchas personas y, por lo tanto, no se deberían tratar desde el punto de vista académico como productos marginales o de segundo orden; estudiarlos es explicar una parte de la vida de sus espectadores.

Orientador : Luiz Koodi Hotta / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Ciencia da Computação / Made available in DSpace on 2018-07-17T02:40:31Z (GMT). No. of bitstreams: 1 Cazorla_IreneMauricio_M.pdf: 4821320 bytes, checksum: 0038d8af68da90031359bf19bdead5f3 (MD5) Previous issue date: 1986 / Resumo: O trabalho analisa o desempenho do método X-11 desenvolvido pelo Bureau de Censo dos E.U.A. e do X-11 ARIMA desenvolvido no Statistics Canada, frente a séries que apresentam fortes mudanças estruturais na tendência e sazonalidade, características estas encontradas nas séries brasileiras. É analisada a série da taxa de mortalidade infantil do Estado de São Paulo, no período de 1933 a 1985. A análise mostra o perigo do uso indiscriminado da opção automática, devido as deficiências mostradas na qualidade do ajuste e a demora para detectar mudanças estruturais. Isto no entanto, é atenuado pela utilização adequada das opções existentes no próprio programa. O exemplo mostra a importância do ajuste sazonal, e das interpretações que se podem conseguir através da análise dos componentes / Abstract: This work studies the performance of the U.S.Bureau of Census X-11, and the Statistics Canada X-11 ARIMA Methods, in the analysis of time series presenting strong structural changes in both trend and sazonality, common in some brazilian series. It analyses the infant mortality rate monthly series in the State of São Paulo, Brazil, from January 1933 to December 1985. The analysis reveals the dangers of the indiscriminate use of the automatic option due to the deficiencies shown in the fitting quality and the long time needed to detect structural changes. However this problem is atenuated by the appropriate use of the existing options in the program. The example illustrates the importance of the seasonal adjustment and of the interpretations which may be gotten through the analysis of the components / Mestrado / Mestre em Estatística

Orientador: Hans Ingo Weber / Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecanica / Made available in DSpace on 2018-07-18T20:03:29Z (GMT). No. of bitstreams: 1 Mattos_MarcioCoelhode_M.pdf: 4554853 bytes, checksum: c0466ccf4f68d65ae87f03b78d331ab2 (MD5) Previous issue date: 1993 / Resumo: Este trabalho apresenta um estudo sobre sistemas amortecidos com atrito viscoso/coulomb. Trata-se de um sistema de vários graus de liberdade onde apenas uma das coordenadas está sujeita ao efeito do atrito seco. As dificuldades encontradas durante o estudo do problema são apresentadas, bem como uma discussão sobr:e métodos para análise de sistemas não lineares e sua; aplicabilidade ao problema. Usa-se a solução exata no domínio do tempo para o estudo de sistemas com até 4 graus de liberdade.A influência do Atrito na resposta em freqüência de sistemas com determinados modelos é apresentada, bem como a redução na amplitude de vibração destes sistemas. Realiza-se uma comparação entre os sistemas de dois graus de liberdade amortecidos com atrito seco e o absorvedor dinâmico de vibrações convencional. Estuda-se o ,caso real de uma viga engastada em uma das extremidades, com massas concentradas e atrito seco na extremidade livre. O problema de modelamento discreto de sistemas contínuos no estudo de sistemas amortecidos com atrito seco é discutido / Abstract: In this work we present a study on systems with combined coulomb and viscous friction. It concernes systems with several degrees of freedom and coulomb damping actuating on only one coordinate. The difficulties encountered during this study are presented. Methods to analize non-linear systems and their applicabillity in the study of dry friction damped systems are dis-cussed. The exact solution in the time domain is used to study systems with 1 up to 4 degrees of freedom. The influence of dry friction on the frequency response oí systems with determinate models is studied as well as the reduction of amplitude of vib.ration in this systems. A comparision hetween 2DOF dry friction damped systems and conventional dynamic absorber of vibration is presented. The study of a real case of a clamped beam.on one end, distribuited masses and coulomb friction on the free end is realized. The problem of discrete modellingJ of continuous systems in the study of dry frictiondamped systems is discussed. / Mestrado / Mestre em Engenharia Mecânica

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In recent years there has been an extensive development of finite difference techniques for solution of the transient heat conduction equation due to the availability of high-speed digital computers. It is the purpose of this paper to investigate and compare several implicit methods for the solution of the Fourier equation with regards to truncation error, round-off error and computer time which probably are among the most important factors to be considered in choosing a method.

Time series models have been widely used in simulating financial data sets. Finding a nice way to estimate the parameters is really important. One of the traditional ways is to use maximum likelihood estimation to make an approach. However, when the error terms don’t have normality, MLE would be less efficient. Quasi maximum likelihood estimation, also regarded as Gaussian MLE, would be more efficient. Considering the heavy-tailed financial data sets, we can use non-Gaussian quasi maximum likelihood, which needs less assumptions and conditions. We use real financial data sets to compare these estimators.

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This thesis deals with the properties of the coefficients of Hypergeometric Series. Specifically, we are interested in which primes appear in the denominators to a bounded power. The first main result gives a method of categorizing the primes up to equivalence class which appear finitely many times in the denominators of generalized hypergeometric series nFm over the rational numbers. Necessary and sufficient conditions for when the density is zero are provided as well as a categorization of the n and m for which the problem is interesting. The second main result is a similar condition for the appearance of primes in the denominators of the hypergeometric series 2F1 over number fields, specifically quadratic extensions Q(D). A novel conjecture to the study of p-adic numbers is also provided, which discusses the digits of irrational algebraic numbers' p-adic expansions. / Thesis / Master of Science (MSc)