Zugl.: Münster (Westfalen), Univ., Diss., 2007

Potsdam, Universiẗat, Diss., 2004. / Erscheinungsjahr an der Haupttitelstelle: 2003.

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Nach einem Rekurs über den Utopiebegriff wurden sowohl im diarischen Werk als auch in der veröffentlichten Prosa Brigitte Reimanns utopische Konzeptionen aufgespürt. Gesucht wurde das Utopische sowohl in den Beschreibungen einer konkreten Gesellschaftsutopie, als auch in den literarischen „Verfeinerungen“ einer kruden Ideologie, wie im kritischen Hinterfragen des „Noch-Nicht-Bewussten“ (Ernst Bloch). Als ästhetische Utopien wurden auch Wunschbilder des Alltags, Träume, Märchen und Mythen gedeutet. Ausführliche Untersuchungen beschäftigten sich mit der Gestaltung der weiblichen Figuren und ihrer Entwicklung von der ideologisch (auch männlich) indoktrinierten Protagonistin zur „freien“ Ich–Gestalterin. Nachgewiesen wurde sowohl im diarischen Werk, als auch in der veröffentlichten Prosa eine Wandlung des Utopieverständnisses von der Gesellschaftsutopie zur subjektiven „Augenblicksutopie“, die im Deutungshorizont der Literatur der Romantik auch als DDR-spezifische Innerlichkeit verstanden werden könnte, welche mit ihrem Rückzug ins Individuelle die ritualisierte DDR-Öffentlichkeit desavouierte. / After a study of the term of Utopia, Utopian concepts were discovered both in the diary texts and in the published prose of Brigitte Reimann′s oeuvre. The Utopian was searched in the descriptions of concrete social Utopia as well as in the literary <EM>Verfeinerungen</EM> of crude ideology and in the critical research of the <EM>Noch-Nicht-Bewusste</EM> (Ernst Bloch). Wishful thinking, dreams, fairy-tales and myths were interpreted as an aesthetic Utopia. Detailed researches were engaged in a study of representation of feminine characters and their development from the ideological indoctrinated protagonist to the “free” <EM>Ich-Gestalterin</EM>. The change in understanding of Utopia from the social Utopia to the <EM>Augenblicksutopie</EM> could be proved both in the diary texts and in the published prose of Brigitte Reimann. In the <EM>Deutungshorizont</EM> of Romantic literature it may be understood as a specific <EM>DDR-Innerlichkeit</EM>, which with its retreat into individualism showed up the ritual public.

Zugl.: Potsdam, Universiẗat, Magisterarbeit.

When choosing k random elements from a group the kth expectation number is the expected size of the subgroup generated by those specific elements. The main purpose of this thesis is to study the asymptotic properties for the first and second expectation numbers of large cyclic groups. The first chapter introduces the kth expectation number. This formula allows us to determine the expected size of any group. Explicit examples and computations of the first and second expectation number are given in the second chapter. Here we show example of both cyclic and dihedral groups. In chapter three we discuss arithmetic functions which are crucial to computing the first and second expectation numbers. The fourth chapter is where we introduce and prove asymptotic results for the first expectation number of large cyclic groups. The asymptotic results for the second expectation number of cyclic groups is given in the fifth chapter. Finally, the results are summarized and future work for expectation numbers is discussed.

Orientador : Marcelo Firer / Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica / Made available in DSpace on 2018-08-04T02:48:30Z (GMT). No. of bitstreams: 1 Faria_MercioBotelho_D.pdf: 4443274 bytes, checksum: 86dda25654f7eb724f654b696016fcf1 (MD5) Previous issue date: 2005 / Resumo: Este trabalho busca elementos para se determinar a densidade de empacotamento de esferas definida por reticulados no plano hiperbólico.Consideramos o espaço de teichmuller Tu de todas as superfícies orientadas com-pactas e fechadas de gênero 9 2: 2, as quais tem o plano hiperbólico como recobrimento universal riemanniano. É conhecido o sistema de coordenadas Fricke em Tu que associa a cada superfície um domínio fundamental de Voronoi-Dirichlet dado por um polígono convexo com 4g arestas. Sabemos que, fixado o gênero, a densidade cresce com o número de arestas do domínio de Voronoi-Dirichlet escolhido, de modo que é natural a busca por polígonos com um número máximo de arestas associado ao gênero dado, que é sempre limitado por 12g - 6.Neste trabalho, determinamos as coordenadas Fricke em Tu que associa a cada su-perfície um domínio de Voronoi-Dirichlet com 4g + 2 e 12g - 6 arestas. Além disso, determinamos e implementamos algoritmos para a determinação dos círculos inscrito e circunscrito de um polígono (em superfícies de curvatura constante). Estes algorit-mos, em sua generalidade tem complexidade O (n4) mas, restringindo os polígonos a vizinhanças abertas de um polígono dado, possui complexidade O (n), situação ótima.A determinação dos domínios de Voronoi-Dirichlet e dos círculos inscritos permitem definir a densidade de empacotamento diretamente nos espaços de teichmuller através de um sistema de equações polinomiais / Abstract: This work searches elements to determine the packing density of spheres defined by lattices in the hyperbolic plane. We consider the teichmüller space Tg of all closed compacts oriented surfaces of genus 9 ~ 2, which has the hyperbolic plane as universal covering rienmannian surface. It is known that the system of Fricke coordinates in Tg associates each surface to a fundamental of Voronoi-Dirichlet domain, given by convex polygon with 49 edges. We know that, with fixed genus, the density increases with the number of edges of the chosen Voronoi-Dirichlet domain. Thus it is naturallooking for polygons with a maximum number of edges associated to a given genus, which is always limited by 129 - 6.In this work, we determine Fricke coordinates in Tg which associates each surface to a Voronoi-Dirichlet domain with 49 + 2 and 129 - 6 edges. Furthermore, we determine and we program the algorithms for determination of the inscribed and circumscribed circles of a polygon (in surfaces of constant curvature). These algorithms, have com-plexity O (n4) , but when restricted to open neighbourhoods of a given polygon, have complexity O (n), best situation.The determination of the Voronoi-Dirichlet domain from the inscribed circles per-mits to define the packing of density directly on teichmüller spaces through a polyno-mials of system equations / Doutorado / Matematica / Doutor em Matemática

The theory of Riemann surfaces is quite old, consequently it is well developed. Riemann surfaces originated in complex analysis as a means of dealing with the problem of multi-valued functions. Such multi-valued functions occur because the analytic continuation of a given holomorphic function element along different paths leads in general to different branches of that function. The theory splits in two parts; the compact and the non-compact case. The function theory developed on these cases are quite dissimilar. The main difficulty one encounters in the compact case is the scarcity of global holomorphic functions, which limits one’s study to meromorphic functions. This however is not an issue in non-compact Riemann surfaces, where one enjoys a vast variety of global holomorphic functions. While the function theory of compact Riemann surfaces is centered around the Riemann-Roch theorem, which essentially tells us how many linearly independent meromorphic functions there are having certain restrictions on their poles, the function theory developed on non-compact Riemann surface engages tools for approximation of functions on certain subsets by holomorphic maps on larger domains. The most powerful tool in this regard is the Runge’s approximation theorem. An intriguing application of this is the Gunning-Narasimhan theorem, which says that every connected open Riemann surface has an immersion into the complex plane. The main goal of this project is to prove Runge’s approximation theorem and illustrate its effectiveness in proving the Gunning-Narasimhan theorem. Finally we look at an analogue of Gunning-Narasimhan theorem in the case of a compact Riemann surface.

Recent German literature and film reflect (on) the loss of promise for both self and societal realization under not one but two ideological regimes: socialism and capitalism. The socialist utopia never arrived; was the capitalist meritocracy ever there? The guarantee of some kind of telos—an endpoint, a ‘good life,’ towards which everyday life was supposed to be going—has thus been frustrated on two historical fronts. I take this parallel as grounds for juxtaposition across historical, affective and aesthetic lines, investigating the waning of teleological promise in the final two decades of the GDR and the last twenty years of 21st century Germany. I present the ‘post-teleological’ as a concept for trans-ideological and cross-temporal comparison, offering a new lens through which to draw texts into unconventional comparative constellations. The questions that this concept raises are the following: how do literature and film translate the affective experience of ideology’s failing persuasive power as aesthetic experiences? How does a juxtaposition of disparate contexts further our understanding of individual works’ break with hegemonic conventions to deliver critique? And how do discrete formal strategies pass comment on the movement (or non-movement) of history? I interrogate literary works by Brigitte Reimann, Irmtraud Morgner, Kathrin Röggla and Shida Bazyar, and films by Konrad Wolf, Evelyn Schmidt, Christian Petzold and Valeska Grisebach, to track the arc of ideological promise’s decline across both periods. I query what affective and aesthetic practices may follow the sense of stasis which accompanies the disappearance of an alternative to neoliberal capitalism.