Thesis (M.Mus.) - University of Queensland, 1999. / Includes bibliography.

O principal objetivo deste trabalho é apresentar a construção do grau topológico em dimensão finita e infinita. Veremos, também, algumas de suas propriedades e aplicações topológicas, como o clássico Teorema de ponto fixo de Brouwer. Seguindo o que fizeram Manàsevich e Mawhin no artigo ``Periodic Solutions for Nonlinear Systems with p-Laplacian-Like Operators}. Journal of Differential Equations, vol. 145, p. 367-393, 1998\'\', vamos provar a existência de soluções para um sistema diferencial não linear com condições de contorno, usando, entre outras ferramentas, o grau topológico. / The main purpose of this work is the construction of the topological degree in finite and infinite dimension. In addition, we will see some of its properties and topological applications. Following the approach of Mannàsevich and Mawhin in the paper ``Periodic Solutions for Nonlinear Systems with p-Laplacian-Like Operators. Journal of Differential Equations, vol. 145, p. 367-393, 1998\'\', we will prove the existence of solutions for a nonlinear differential system with boundary conditions, using, among other tools, the topological degree.

In this thesis, we provide constructive proofs of serveral generalizations of Sperner's Lemma, a combinatorial result which is equivalent to the Brouwer Fixed Point Theorem. This lemma makes a statement about the number of a certain type of simplices in the triangulation of a simplex with a special labeling. We prove generalizations for polytopes with simplicial facets, for arbitrary 3-polytopes, and for polygons. We introduce a labeled graph which we call a nerve graph to prove these results. We also suggest a possible non-constructive proof for a polytopal generalization.

Thesis (B.S.)--Haverford College, Dept. of Mathematics, 2002. / Includes bibliographical references.

In the first section of this thesis rhythmic theories of Leonard Meyer and Grosvenor Cooper, Wallace Berry, William Benjamin, Joel Lester, Fred Lerdahl and Ray Jackendoff, and Jonathan Kramer are discussed. Each theortician's treatment of meter and grouping is compared. The appropriateness of each theory as an analytic tool for the analysis of El Decameron Negro by Leo Brouwer is evaluated. / The analysis itself concerns a section of music in which written meter changes at almost every barline. Within the measures binary and ternary rhythmic groups occur in the context of a continuous pulse. The analysis explicates the metric organization of the section. Suggestions are given for a performance which will project the underlying organization of the section of music.

Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-10T17:20:01Z No. of bitstreams: 1 ORLANDO BATISTA DE ALMEIDA - DISSERTAÇÃO PPGMAT 2006..pdf: 835416 bytes, checksum: ebd7a7b886fc9fa8eddfddb98da9aa05 (MD5) / Made available in DSpace on 2018-07-10T17:20:01Z (GMT). No. of bitstreams: 1 ORLANDO BATISTA DE ALMEIDA - DISSERTAÇÃO PPGMAT 2006..pdf: 835416 bytes, checksum: ebd7a7b886fc9fa8eddfddb98da9aa05 (MD5) Previous issue date: 2006-05 / Nesta dissertação, seguindo o trabalho do Berestycki [7] e idéias desenvolvidas por Alves & de Figueiredo [3] e Alves, Corrêa & Gonçalves [4], estudamos a Teoria do Grau de Brouwer e Leray & Schauder, bem como o Método de Galerkin para obter solução de alguns problemas elípticos. / In this of dissertation, motivated by work of Berestycki [7] and ideas conceived byAlves & from Figueiredo [3] andAlves, Corrêa & Gonçalves [4], we styding the theory of Degree fromBrouwer and Leray & Schauder, well how theMethod from Galerkin to obtain solution of some ellíptic problems.

Syftet med föreliggande konstnärliga examensarbete var att analysera och interpretera den kubanska kompositören Leo Brouwers neoromantiska Sonata (1990) för klassisk gitarr. Det utfördes metodiskt genom en musikanalys av storform, sonatform, harmonik, musikaliska citat, dansanta begrepp och sammanställning av en motivkatalog. Studiens resultat indikerar att Brouwer tillämpade sonatform samt inkorporerade citat från Beethoven, Scriabin, Padre Soler och Bernardo Pasquini. Sonaten är komponerad idiomatiskt för gitarr men involverar ändå vissa speltekniska utmaningar för gitarristen. Det har bearbetats genom egna fingersättningar för att på bästa sätt gestalta fraseringar med tillämpning av bland annat karaktär av legato och speltekniska aspekter som campanella. Studien har resulterat i en utvecklad förmåga att tillämpa en äldre musikform för att bära ett modernare tonspråk genom instudering och analys av Leo Brouwers Sonata.

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Made available in DSpace on 2014-07-29T16:02:18Z (GMT). No. of bitstreams: 1 Dissertacao Arianny Grasielly Baiao Malaquias.pdf: 551063 bytes, checksum: c96bb635153e7e0b5f3ae1b8cd01d621 (MD5) Previous issue date: 2010-03-30 / In this work, we studying the Averaging Method via Brouwer Degree for upper bound the number of limit cycle that can bifurcate from a center type singularity of a diferential equation system. After that, we give concrete examples this upper bound can be realized. / Nesta dissertação, estudaremos o Método do Averaging via Grau de Brouwer para determinar o número de ciclos limites que podem bifurcar de uma singularidade do tipo centro de um sistema de equações diferenciais. Além disso, mostramos através de exemplos concretos que esta cota superior pode ser realizada

Orientador: Gisela Gomes Pupo Nogueira / Resumo: A partir de uma abordagem discursiva, o presente trabalho propõe ferramentas para descrever os eventos estéticos e os tipos de discurso musical que permeiam a música instrumental contemporânea, mais especificamente nas escolhas enunciativas que cabem ao intérprete musical. Inicialmente, são definidos alguns preceitos acerca da interpretação musical, passando pelas correntes interpretativas e pelas funções do intérprete até chegar à reflexão sobre o ato musical em si. Após a apresentação desse panorama das discussões sobre a atividade interpretativa, a atenção se volta para a construção de sentido na música, de onde se entende que os próprios eventos estéticos – acontecimentos de grande impacto – guiam os fazeres musicais. Para tal finalidade, é utilizado o ferramental de certa linhagem da semiótica francesa. É Greimas, mais especificamente no livro Da Imperfeição, quem diz que as linguagens sensíveis são caracterizadas por eventos (estéticos ou estésicos) que rompem com um sentido discursivo mais abrangente, análogo à própria vida cotidiana, agregando-lhe valor. Os autores Zilberberg e Landowski, em suas trajetórias teóricas, buscaram sistematizar o livro Da Imperfeição cada um a seu modo, ainda que com diversas congruências: Zilberberg, partindo das reflexões de Greimas sobre as fraturas, estabelece a sua acepção de acontecimento, que busca dar conta do evento que acarreta um verdadeiro rompimento do sentido, cuja restauração se daria na própria resolução do acontecimento, q... (Resumo completo, clicar acesso eletrônico abaixo) / Abstract: Based on a discursive approach, the present work offers tools to describe aesthetic events and the types of musical discourse present in contemporary instrumental music, particularly in enunciative choices made by musical performers. First, some precepts related to musical performance are defined; later, interpretative currents and the functions of the performer are brought to the debate until finally reflecting upon the musical act itself. After presenting this overview of discussions on the interpretative activity, construction of meaning in music is contemplated, reaching an understanding that the aesthetic events themselves - events of great impact - guide musical activities. For such, the tooling of a certain line of French semiotics is used. Greimas is the one who – in the book De l’imperfection – says that sensitive languages are characterized by (aesthetic or aesthesial) events that enable a more comprehensive discourse meaning – which is similar to everyday life itself – increasing its value. Throughout their theoretical trajectories, authors Zilberberg and Landowski sought to systematize the book De l’imperfection, each in their own way, but with different congruences: Zilberberg, based on Greimas' reflections on fractures, establishes his meaning of event, which tries to present an incident that causes a real disruption of meaning, whose restoration would take place in the very resolution of such incident, gradually turning into discursive grandeur; Landowski, on t... (Complete abstract click electronic access below) / Doutor