Orientadores: Margarida Pinheiro Mello, Maria Aparecida Diniz Ehrhardt / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica / Made available in DSpace on 2018-08-22T15:49:27Z (GMT). No. of bitstreams: 1 Ferreira_DaianeGoncalves_M.pdf: 1441315 bytes, checksum: 1196d8b21c6254dbdd0e0d68266fa707 (MD5) Previous issue date: 2013 / Resumo: Métodos de Otimização de terceira ordem, embora de longa tradição, eram considerados, até passado recente, impraticáveis, devido à taxa com que o esforço computacional cresce em função da dimensão do problema. Avanços no desenvolvimento de estruturas de dados, rotinas que trabalham com estas estruturas e a exploração da esparsidade de grande parte dos problemas encontrados na prática já permitem implementações destes métodos que podem torná-los competitivos com métodos de segunda ordem. O objeto desta dissertação é a apresentação do método de Halley, um método de terceira ordem, sua implementação em MATLAB e a realização de testes computacionais, visando uma comparação empírica de sua eficiência frente ao método de Newton, o método de segunda ordem mais empregado na atualidade / Abstract: Higher order optimization methods, though of long-standing tradition, until recently have been deemed impractical, due to the rate of increase of the computational effort as a function of the size of the problem. Advances in the development of data structures, routines that work with these structures and the use of the sparsity of a vast range of practical problems have led to implementations of these methods that are competitive with second order methods. The object of this dissertation is the study of Halley's method, a thirdorder method, the development of a MATLAB implementation thereof and its testing, aiming at an empirical comparison of its efficiency against that of Newton's method, the second-order method most widely used today / Mestrado / Matematica Aplicada / Mestra em Matemática Aplicada

<p>This paper presents an approach in contemporary, abstract art for a new way of experiencing modernist abstraction. This has not been possible until now, about 40 years after the postmodern turn against modernism in art, and the closely connected formalism. This new approach is represented in this paper by the Swedish contemporary artists Ann Edholm and Jacob Dahlgren. Modernist artists such as Kasimir Malevich and Piet Mondrian receives a new relevance to contemporary abstract art. This opens up for a new, more complex and more dialectical understanding and re-evaluation of modernism and its abstract art.This is shown by a historical and chronological investigation which highlights modernist abstract art, formalism, and the critical and post-modern Neo-geometric ‘abstraction’ of the eighties. This background has been a way of proving how modernist abstraction still can possess a validity for contemporary art today, and even vitalize a continuation for abstract art as a contemporary practice.</p>

This paper presents an approach in contemporary, abstract art for a new way of experiencing modernist abstraction. This has not been possible until now, about 40 years after the postmodern turn against modernism in art, and the closely connected formalism. This new approach is represented in this paper by the Swedish contemporary artists Ann Edholm and Jacob Dahlgren. Modernist artists such as Kasimir Malevich and Piet Mondrian receives a new relevance to contemporary abstract art. This opens up for a new, more complex and more dialectical understanding and re-evaluation of modernism and its abstract art.This is shown by a historical and chronological investigation which highlights modernist abstract art, formalism, and the critical and post-modern Neo-geometric ‘abstraction’ of the eighties. This background has been a way of proving how modernist abstraction still can possess a validity for contemporary art today, and even vitalize a continuation for abstract art as a contemporary practice.

The ideas within this thesis are meant to clarify my explorations, research and painting practice during my studies at Virginia Commonwealth University. I expand on my general statements about being fascinated by advancing technologies and concerned about the after effects of these advancements. The writing explores my curiosity about the internal, skeletal structure of things and how they operate. I explain how the paintings are idiosyncratic hybrids that evoke animation, imaginary scientific propositions, blueprints, maps, and advancing technologies. The work combines these interests with my observations of day-to-day experiences. Isolated events provide found compositions which I then manipulate: a seemingly mundane bike ride gets mapped into a well–ordered schematic of social interaction.

Made available in DSpace on 2014-06-11T19:29:49Z (GMT). No. of bitstreams: 0 Previous issue date: 2010-08-09Bitstream added on 2014-06-13T20:20:13Z : No. of bitstreams: 1 rodrigues_vm_me_sjrp.pdf: 2852276 bytes, checksum: 6edda76d5dac99cb133b8f9ed4b11c58 (MD5) / Malcolm X foi figura exponencial durante a luta pelos direitos civis da população afroamericana nos EUA nas décadas de 1950 e 1960. Seu polêmico discurso pela resistência violenta das populações negras contra o racismo branco marcou gerações naquele país. Esta dissertação de mestrado pretende analisar as representações desse personagem histórico na obra “Autobiografia de Malcolm X”, texto biográfico escrito pelo jornalista Alex Halley e sua transcodificação para o Cinema no filme “Malcolm X” do cineasta Spike Lee / Malcolm X was a remarkable historical character during the Civil Rights struggles in the USA in the 1950s and 1960s. His polemical speech in favor of black resistance against the white racism was fundamental to the next generations in the country. This study aims at analyzing Malcolm´s representations in Alex Halley´s biography – Malcolm X – and its transcodification to the film X, directed by Spike Lee

Capture-évolution-éjection de particules par des systèmes binaires (étoile-planète, étoile binaire, étoile-trou noir supermassif, trou noir binaire, ...). Dans une première partie, en utilisant une généralisation de l'application de Kepler, nous décrivons, au travers du cas de 1P/Halley, la dynamique chaotique des comètes dans le système solaire. Le système binaire, alors considéré, est composé du Soleil et de Jupiter. L'application symplectique utilisée permet de rendre compte des différentes caractéristiques de la dynamique : trajectoires chaotiques, îlots invariants de KAM associés aux résonances avec le mouvement orbital de Jupiter,... Nous avons déterminé de façon exacte et semi-analytique l'énergie échangée (fonction kick) entre le système solaire et la comète de Halley à chaque passage au périhélie. Cette fonction kick est la somme des contributions des problèmes à trois corps Soleil-planète-comète associés aux 8 planètes du système solaire. Nous avons montré que chacune de ces contributions peut être décomposée en un terme keplerien associé au potentiel gravitationnel de la planète et un terme dipolaire dû au mouvement du soleil autour du centre de masse du système solaire. Dans une deuxième partie, nous avons utilisé la généralisation de l'application de Kepler pour étudier la capture de particules de matière noire au sein des systèmes binaires. La section efficace de capture a été calculée et montre que la capture à longue portée est bien plus efficace que la capture due aux rencontres proches. Nous montrons également l'importance de la vitesse de rotation du système binaire dans le processus de capture. Notamment, un système binaire en rotation ultrarapide accumulera en son sein une densité de matière jusqu'à 10^4 fois celle du flot de matière le traversant. Dans la dernière partie, en intégrant les équations du mouvement du problème à trois corps restreint plan, nous avons étudié l'éjection des particules capturées par un système binaire. Dans le cas d'un système binaire dont les deux corps sont de masses comparables, alors que la majorité des particules sont éjectées immédiatement, nous montrons, sur les sections de Poincaré, que la trace des particules restant indéfiniment aux abords du système binaire forme une structure fractale caractéristique d'un répulseur étrange associé à un système chaotique ouvert. Cette structure fractale, également présente dans l'espace réel, a une forme de spirale à deux bras partageant des similitudes avec les structures spiralées des galaxies comme la nôtre. / This work is devoted to the study of the restricted 3-body problem and particularly to the capture-evolution-ejection process of particles by binary systems (star-planet, binary star, star-supermassive black hole, binary black hole, ...). First, using a generalized Kepler map, we describe, through the case of 1P/Halley, the chaotic dynamics of comets in the Solar System. The here considered binary system is the couple Sun-Jupiter. The symplectic application we use allows us to depict the main characteristics of the dynamics: chaotic trajectories, KAM islands associated to resonances with Jupiter orbital motion, ... We determine exactly and semi-analytically the exchange of energy (kick function) between the Solar System and 1P/Halley at its passage at perihelion. This kick function is the sum of the contributions of 3-body problems Sun-planet-comet associated to the eight planets. We show that each one of these contributions can be split in a keplerian term associated to the planet gravitational potential and a dipolar term due to the Sun movement around Solar System center of mass. We also use the generalized Kepler map to study the capture of dark matter particles by binary systems. We derive the capture cross section showing that long range capture is far more efficient than close encounter induced capture. We show the importance of the rotation velocity of the binary in the capture process. Particularly, a binary system with an ultrafast rotation velocity accumulates a density of captured matter up to 10^4 times the density of the incoming flow of matter. Finally, by direct integration of the planar restricted 3-body problem equations of motion, we study the ejection of particles initially captured by a binary system. In the case of a binary with two components of comparable masses, although almost all the particles are immediately ejected, we show, on Poincaré sections, that the trace of remaining particles in the vicinity of the binary form a fractal structure associated to a strange repeller associated to chaotic open systems. This fractal structure, also present in real space, has a shape of two arm spiral sharing similarities with spiral structures observed in galaxies such as the Milky Way.

The following Thesis is a survey of seventeenth-century uranography, with specific focus on the use of the Pleiades and Charles's Wain by English poets and pageant writers as astrological ciphers for the Stuart dynasty (1603-1649; 1660-1688). I then use that survey to address the problem of irony in John Dryden's 1685 Pindaric elegy, "To the Pious Memory of Mrs. Anne Killigrew," since the longstanding notion of what the Pleiades signify in Dryden's ode is problematic from an astronomical and astrological perspective. In his elegiac ode, Dryden translates a young female artist to the Pleiades to actuate her apotheosis, not for the sake of mere fulsome hypberbole, but in such a way that Anne (b. 1660-d. 1685) signifies for the reign of Charles II (1660-1685) in her Pleiadic catasterism. The political underpinnings of Killigrew's apotheosis reduce the probability that Dryden's hyperbole reserves pejorative ironic potential.