Submitted by Divisão de Documentação/BC Biblioteca Central (ddbc@ufam.edu.br) on 2016-05-03T18:56:20Z No. of bitstreams: 1 Tese - Juliana Ferreira Ribeiro de Miranda.pdf: 5725957 bytes, checksum: 608e325c9c09666cd44e53ddfba72e23 (MD5) / Approved for entry into archive by Divisão de Documentação/BC Biblioteca Central (ddbc@ufam.edu.br) on 2016-05-03T18:56:33Z (GMT) No. of bitstreams: 1 Tese - Juliana Ferreira Ribeiro de Miranda.pdf: 5725957 bytes, checksum: 608e325c9c09666cd44e53ddfba72e23 (MD5) / Approved for entry into archive by Divisão de Documentação/BC Biblioteca Central (ddbc@ufam.edu.br) on 2016-05-03T18:57:02Z (GMT) No. of bitstreams: 1 Tese - Juliana Ferreira Ribeiro de Miranda.pdf: 5725957 bytes, checksum: 608e325c9c09666cd44e53ddfba72e23 (MD5) / Made available in DSpace on 2016-05-03T18:57:02Z (GMT). No. of bitstreams: 1 Tese - Juliana Ferreira Ribeiro de Miranda.pdf: 5725957 bytes, checksum: 608e325c9c09666cd44e53ddfba72e23 (MD5) Previous issue date: 2015-03-31 / CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / This view is composed of two parts. Initially we present an open way the principle of the weak maximum for a specific class of elliptic operators with applications hypersurface height estimates immersed mean curvature k constant warped products, whose base is a line interval. Later, we display estimates involving eigenvalues of an operator in n-divergently in limited domains with boundary conditions of Dirichlet, a Riemannian manifold Full and found a sharp estimate, compared to asymptotic formula Weyl, to the eigenvalues of the n-Laplacian operator / Esta tese é composta de duas partes. Inicialmente apresentamos uma forma aberta do princípio do máximo fraco para uma classe específica de operadores elípticos com aplicações em estimativas de altura de hipersuperfícies imersas com k-curvatura média constante em produtos warped, cuja base é um intervalo da reta. Posteriormente, exibimos estimativas envolvendo autovalores de um operador na forma n-divergente em domínios limitados, com condições de bordo de Dirichlet, de uma variedade riemanniana completa e encontramos uma estimativa sharp, em relação a fórmula assintótica de Weyl, para os autovalores do operador n-laplaciano

We characterize the structure of the domain of a pure jump-type Dirichlet form which is given by a Beurling–Deny formula. In particular, we obtain su cient conditions in terms of the jumping kernel guaranteeing that the test functions are a core for the Dirichlet form and that the form is a Silverstein extension. As an application we show that for recurrent Dirichlet forms the extended Dirichlet space can be interpreted in a natural way as a homogeneous Dirichlet space. For reflected Dirichlet spaces this leads to a simple purely analytic proof that the active reflected Dirichlet space (in the sense of Chen, Fukushima and Kuwae) coincides with the extended active reflected Dirichlet space. / Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.

Mémoire numérisé par la Direction des bibliothèques de l'Université de Montréal.

In the category of mathematics called partial differential equations there is a particular type of problem called the Dirichlet problem. Proof is given in many partial differential equation books that every Dirichlet problem has one and only one solution. The explicit solution is very often not easily determined, so that a method for approximating the solution at certain points becomes desirable. The purpose of this paper is to present and investigate one such method.

by Yeung Wai Leung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1995. / Includes bibliographical references (leaves 92-[96]). / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Fuzzy Inference and Real Intelligent Mapping --- p.1 / Chapter 1.2 --- Organization of the thesis --- p.5 / Chapter 2 --- Fuzzy Logic inference --- p.7 / Chapter 2.1 --- Fuzzy logic --- p.7 / Chapter 2.1.1 --- Fuzzy sets --- p.7 / Chapter 2.1.2 --- Operations on fuzzy sets --- p.10 / Chapter 2.2 --- Fuzzy Inference --- p.11 / Chapter 3 --- Weaknesses of fuzzy inference --- p.17 / Chapter 3.1 --- Is the use of linguistic fuzzy if-then rules and membership func- tions a good means of representing human expert knowledge? --- p.17 / Chapter 3.2 --- Role of conventional fuzzy inference doubtful if the expert knowl- edge is in the form of sampled input-output data --- p.21 / Chapter 3.3 --- Computational requirements --- p.23 / Chapter 3.4 --- Low transparency --- p.24 / Chapter 3.5 --- Analytical difficulties --- p.25 / Chapter 4 --- Real Intelligent Mapping --- p.27 / Chapter 5 --- Design of Real Intelligent Mapping Systems Using Dirichlet Tessellation --- p.33 / Chapter 5.1 --- Dirichlet tessellation for function approximation --- p.34 / Chapter 5.2 --- Identification of a DT based RIM system by least-squares --- p.42 / Chapter 5.3 --- Examples --- p.48 / Chapter 5.3.1 --- Defining the problem --- p.48 / Chapter 5.3.2 --- Balancing an inverted pendulum --- p.49 / Chapter 5.3.3 --- Balancing an inverted pendulum with cart --- p.53 / Chapter 5.3.4 --- Truck backing-up --- p.56 / Chapter 5.3.5 --- Chaotic time series prediction --- p.60 / Chapter 5.4 --- Interactive CAD platform for RIM systems design --- p.63 / Chapter 6 --- Analysis of Dirichlet tessellation based Real Intelligent Mapping Systems --- p.67 / Chapter 6.1 --- Local Stability Analysis of DT Based RIM Systems --- p.69 / Chapter 6.1.1 --- Balancing an inverted pendulum --- p.71 / Chapter 6.1.2 --- Truck backing-up --- p.73 / Chapter 6.2 --- Global stability analysis of DT based RIM systems --- p.74 / Chapter 6.3 --- Design of a stable DT based RIM system --- p.79 / Chapter 6.4 --- A method for analyzing Second order DT based RIM systems --- p.82 / Chapter 6.5 --- Piecewise-polynomial real domain representation of a class of fuzzy controller and its stability --- p.85 / Chapter 7 --- Conclusion --- p.90 / Bibliography --- p.92

Master of Science / Department of Computer Science / Cornelia Caragea / Doina Caragea / Social media has changed the way people communicate information. It has been noted that social media platforms like Twitter are increasingly being used by people and authorities in the wake of natural disasters. The year 2017 was a historic year for the USA in terms of natural calamities and associated costs. According to NOAA (National Oceanic and Atmospheric Administration), during 2017, USA experienced 16 separate billion-dollar disaster events, including three tropical cyclones, eight severe storms, two inland floods, a crop freeze, drought, and wild re. During natural disasters, due to the collapse of infrastructure and telecommunication, often it is hard to reach out to people in need or to determine what areas are affected. In such situations, Twitter can be a lifesaving tool for local government and search and rescue agencies. Using Twitter streaming API service, disaster-related tweets can be collected and analyzed in real-time. Although tweets received from Twitter can be sparse, noisy and ambiguous, some may contain useful information with respect to situational awareness. For example, some tweets express emotions, such as grief, anguish, or call for help, other tweets provide information specific to a region, place or person, while others simply help spread information from news or environmental agencies. To extract information useful for disaster response teams from tweets, disaster tweets need to be cleaned and classified into various categories. Topic modeling can help identify topics from the collection of such disaster tweets. Subsequently, a topic (or a set of topics) will be associated with a tweet. Thus, in this report, we will use Latent Dirichlet Allocation (LDA) to accomplish topic modeling for disaster tweets dataset.

In the thesis discrete moments of the Riemann zeta-function and allied Dirichlet series are studied. In the first part the asymptotic value-distribution of zeta-functions is studied where the samples are taken from a Cauchy random walk on a vertical line inside the critical strip. Building on techniques by Lifshits and Weber analogous results for the Hurwitz zeta-function are derived. Using Atkinson’s dissection this is even generalized to Dirichlet L-functions associated with a primitive character. Both results indicate that the expectation value equals one which shows that the values of these zeta-function are small on average. The second part deals with the logarithmic derivative of the Riemann zeta-function on vertical lines and here the samples are with respect to an explicit ergodic transformation. Extending work of Steuding, discrete moments are evaluated and an equivalent formulation for the Riemann Hypothesis in terms of ergodic theory is obtained. In the third and last part of the thesis, the phenomenon of universality with respect to stochastic processes is studied. It is shown that certain random shifts of the zeta-function can approximate non-vanishing analytic target functions as good as we please. This result relies on Voronin's universality theorem. / Die Dissertation behandelt diskrete Momente der Riemannschen Zetafunktion und verwandter Dirichletreihen. Im ersten Teil wird die asymptotische Werteverteilung von Zetafunktionen studiert, wobei die Werte zufällig auf einer vertikalen Geraden im kritischen Streifen gemäß einer Cauchyschen Irrfahrt summiert werden. Auf einer Vorarbeit von Lifshits und Weber aufbauend werden analoge Resultate für die Hurwitz Zetafunktion erzielt. Mit Hilfe der Atkinsonschen Formel gelingt eine weitere Verallgemeinerung für Dirichletsche L-Funktion zu einem primitiven Charakter. Beide Ergebnisse zeigen, dass der Erwartungswert stets eins beträgt, womit die jeweilige Zetafunktion im Mittel betragsmäßig klein ist. Der zweite Teil befasst sich mit der logarithmischen Ableitung der Riemannschen Zetafunktion auf vertikalen Geraden, wobei hier die Werte einer ergodischen Transformation entstammen. Eine Arbeit von Steuding verallgemeinernd werden diskrete Momente berechnet und eine äquivalente Formulierung der Riemannschen Vermutung in ergodentheoretischer Sprache erzielt. Im dritten und letzten Teil der Dissertation wird das Phänomen der Universalität unter dem Aspekt stochastischer Prozesse studiert. Es wird gezeigt, dass gewisse zufällige Translate der Zetafunktion nullstellenfreie analytische Zielfunktionen beliebig gut approximieren. Dieses Ergebnis basiert auf dem Voroninschen Universalitätssatz.

Thèse de doctorat : Mathématiques : Lille 1 : 2002. / N° d'ordre (Lille) : 3258. Résumé en français et en anglais. Bibliogr. p. 91-92.

Programm-Collège royal français. Berlin. / Cover title.

Nagrinėjamos dvi funkcijos. Darbe nustatyta, kad esant papildomiems reikalavimams, šios funkcijos turi be galo daug nulių atitinkamoje juostoje ir pusplokštumoje. / The two functions are analytically continuable to the whole complex plane. It is prove that the functions have infinitely many zeros in the strop and in the half-plane.