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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
51

Návrh automatického obchodního systému na devizových trzích s využitím fraktální geometrie / Automatic Trading System on the Foreign Exchange Market Based on a Fractal Geometry

Babič, Vojtěch January 2016 (has links)
The main focus of the thesis are approaches to technical analysis, trading systems and it summarizes interesting findings, according to which a FOREX automated trading system was designed and implemented. Optimization and testing were a prerequisite for a real-world deployment, so the automated trading system was tested on historical data and some of its input parameters were optimized for maximum stability and profit.
52

Um estudo sobre a construção de fractais em ambientes computacionais e suas relações como transformações geométricas no plano

Eberson, Ricardo Ronaldo 13 May 2004 (has links)
Made available in DSpace on 2016-04-27T16:57:55Z (GMT). No. of bitstreams: 1 dissertacao_ricardo_ronald_eberson.pdf: 1316160 bytes, checksum: a673a44e8d3259e7d409f1d2d55d1e62 (MD5) Previous issue date: 2004-05-13 / This research concerns the teaching and learning of Mathematics in the presence of computational tools, particularly in relation to the construction of fractals. The main aim of the work is to contribute to the analysis of the computational transposition process (Balacheff, 1994) of Fractal Geometry in four computational learning environments. The study entails an analysis of the nature of the meanings that each of the educational software environments affords for particular mathematical notions, that is, its epistemological domain of validity . Additionally the idea of microworld is used in relation to Dynamic Geometry environments and those based of Turtle Geometry . The theoretical approach adopted warrants and guides the methodological choices, which involve the qualitative analysis of the set of chosen computational environments. The analyses show that the construction of fractals in two of these environments made use of the concept of the Chaos Game. In these two cases, the formal structures of both softwares present tools based on geometrical transformations of the plane, although with distinct kinds of control, especially in terms of the extent to which relationships between tools and the concepts involved are made explicit. The results also enable the proposal of teaching situations concerning the construction of fractals in these environments, aimed at providing a context for the exploration of notions related to geometrical transformations of the plane and their geometrical and algebraic representations / Esta pesquisa insere-se no quadro do ensino e da aprendizagem de Matemática integrando ferramentas computacionais, em particular, no que se refere à construção de objetos fractais. O objetivo principal deste trabalho é contribuir para uma análise, em termos da transposição informática (Balacheff, 1994), da Geometria Fractal em quatro ambientes computacionais de aprendizagem humana. Fundamentado nessa noção, o estudo concentra-se na análise da natureza dos significados que um dado software educativo permite construir para uma determinada noção matemática, isto é, em seu domínio de validade epistemológica . Além disso, utiliza a idéia de micro-mundo no que se refere à ambientes de Geometria Dinâmica e aqueles baseados na Geometria da Tartaruga . Tal abordagem teórica justifica e orienta o desenvolvimento metodológico, voltado à análise qualitativa do conjunto de ambientes informáticos escolhidos. As análises realizadas mostram que a construção de fractais em dois desses ambientes relacionam-se à concepção do Jogo do Caos. Em ambos os casos, as estruturas formais destes softwares apresentam ferramentas baseadas em transformações geométricas no plano, embora com tipos de controle distintos, em particular, no que se refere à explicitação da relação entre as ferramentas e o conceito envolvido. Os resultados também permitem propor situações de ensino envolvendo a construção de fractais nesses ambientes, visando contribuir para a contextualização de noções relacionadas às transformações geométricas no plano, com a exploração de suas representações geométricas e algébricas
53

An?lise e otimiza??o de superf?cies seletivas de Frequ?ncia utilizando redes neurais artificiais e algoritmos de otimiza??o natural

Cruz, Rossana Moreno Santa 28 September 2009 (has links)
Made available in DSpace on 2014-12-17T14:54:53Z (GMT). No. of bitstreams: 1 RossanaMSC.pdf: 3237270 bytes, checksum: 01cfb4de4da5c1c94fba895ebbbdddb1 (MD5) Previous issue date: 2009-09-28 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior / The bidimensional periodic structures called frequency selective surfaces have been well investigated because of their filtering properties. Similar to the filters that work at the traditional radiofrequency band, such structures can behave as band-stop or pass-band filters, depending on the elements of the array (patch or aperture, respectively) and can be used for a variety of applications, such as: radomes, dichroic reflectors, waveguide filters, artificial magnetic conductors, microwave absorbers etc. To provide high-performance filtering properties at microwave bands, electromagnetic engineers have investigated various types of periodic structures: reconfigurable frequency selective screens, multilayered selective filters, as well as periodic arrays printed on anisotropic dielectric substrates and composed by fractal elements. In general, there is no closed form solution directly from a given desired frequency response to a corresponding device; thus, the analysis of its scattering characteristics requires the application of rigorous full-wave techniques. Besides that, due to the computational complexity of using a full-wave simulator to evaluate the frequency selective surface scattering variables, many electromagnetic engineers still use trial-and-error process until to achieve a given design criterion. As this procedure is very laborious and human dependent, optimization techniques are required to design practical periodic structures with desired filter specifications. Some authors have been employed neural networks and natural optimization algorithms, such as the genetic algorithms and the particle swarm optimization for the frequency selective surface design and optimization. This work has as objective the accomplishment of a rigorous study about the electromagnetic behavior of the periodic structures, enabling the design of efficient devices applied to microwave band. For this, artificial neural networks are used together with natural optimization techniques, allowing the accurate and efficient investigation of various types of frequency selective surfaces, in a simple and fast manner, becoming a powerful tool for the design and optimization of such structures / As estruturas planares peri?dicas bidimensionais, conhecidas como Superf?cies Seletivas de Frequ?ncia, t?m sido bastante estudadas por causa da propriedade de filtragem de frequ?ncia que apresentam. Similares aos filtros que operam na faixa tradicional de radiofrequ?ncia, tais estruturas podem apresentar caracter?sticas espectrais de filtros rejeitafaixa ou passa-faixa, dependendo do tipo de elemento do arranjo (patch ou abertura, respectivamente) e podem ser utilizadas em uma variedade de aplica??es, tais como radomes, refletores dicr?icos, filtros de micro-ondas, condutores magn?ticos artificiais, absorvedores etc. Para melhorar o desempenho de tais dispositivos eletromagn?ticos e investigar suas propriedades, muitos estudiosos t?m analisado v?rios tipos de estruturas peri?dicas: superf?cies seletivas de frequ?ncia reconfigur?veis, filtros de m?ltiplas camadas seletivas, al?m de arranjos peri?dicos impressos sobre substratos diel?tricos anisotr?picos e que utilizam geometrias fractais na sua forma??o. Em geral, n?o existe uma solu??o anal?tica diretamente extra?da a partir da resposta em frequ?ncia de um dispositivo; desta forma, a an?lise de suas caracter?sticas espectrais requer a aplica??o de t?cnicas de onda completa rigorosas, como o m?todo da equa??o integral, por exemplo. Al?m disso, devido ? complexidade computacional exigida para a implementa??o destes m?todos, muitos estudiosos ainda utilizam a investiga??o por tentativa e erro, para alcan?ar crit?rios satisfat?rios ao projeto dos dispositivos. Como este procedimento ? muito trabalhoso e dependente do homem, faz-se necess?rio o emprego de t?cnicas de otimiza??o que acelerem a obten??o de estruturas peri?dicas com especifica??es de filtragem desejadas. Alguns autores t?m utilizado redes neurais artificiais e algoritmos de otimiza??o natural, como os algoritmos gen?ticos e a otimiza??o por enxame de part?culas no projeto e otimiza??o das superf?cies seletivas de frequ?ncia. Este trabalho tem como objetivo realizar um estudo mais aprofundado sobre o comportamento eletromagn?tico das estruturas peri?dicas seletivas de frequ?ncia, possibilitando a obten??o de dispositivos eficientes e aplic?veis na faixa de micro-ondas. P ra isto, redes neurais artificiais s?o utilizadas em conjunto com t?cnicas de otimiza??o baseadas na natureza, permitindo a investiga??o precisa e eficiente de v?rios tipos de superf?cies seletivas de frequ?ncia, de forma simples e r?pida, tornando-se, portanto, uma poderosa ferramenta de projeto e otimiza??o de tais estruturas
54

An?lise e projeto de superf?cies seletivas de frequ?ncia com elementos pr?-fractais para aplica??es em comunica??es indoor

N?brega, Clarissa de Lucena 09 April 2013 (has links)
Made available in DSpace on 2014-12-17T14:55:11Z (GMT). No. of bitstreams: 1 ClarissaLN_TESE.pdf: 4153617 bytes, checksum: 6a9b7ed40b1f66da758afee4efaf74e9 (MD5) Previous issue date: 2013-04-09 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior / In this thesis, a frequency selective surface (FSS) consists of a two-dimensional periodic structure mounted on a dielectric substrate, which is capable of selecting signals in one or more frequency bands of interest. In search of better performance, more compact dimensions, low cost manufacturing, among other characteristics, these periodic structures have been continually optimized over time. Due to its spectral characteristics, which are similar to band-stop or band-pass filters, the FSSs have been studied and used in several applications for more than four decades. The design of an FSS with a periodic structure composed by pre-fractal elements facilitates the tuning of these spatial filters and the adjustment of its electromagnetic parameters, enabling a compact design which generally has a stable frequency response and superior performance relative to its euclidean counterpart. The unique properties of geometric fractals have shown to be useful, mainly in the production of antennas and frequency selective surfaces, enabling innovative solutions and commercial applications in microwave range. In recent applications, the FSSs modify the indoor propagation environments (emerging concept called wireless building ). In this context, the use of pre-fractal elements has also shown promising results, allowing a more effective filtering of more than one frequency band with a single-layer structure. This thesis approaches the design of FSSs using pre-fractal elements based on Vicsek, Peano and teragons geometries, which act as band-stop spatial filters. The transmission properties of the periodic surfaces are analyzed to design compact and efficient devices with stable frequency responses, applicable to microwave frequency range and suitable for use in indoor communications. The results are discussed in terms of the electromagnetic effect resulting from the variation of parameters such as: fractal iteration number (or fractal level), scale factor, fractal dimension and periodicity of FSS, according the pre-fractal element applied on the surface. The analysis of the fractal dimension s influence on the resonant properties of a FSS is a new contribution in relation to researches about microwave devices that use fractal geometry. Due to its own characteristics and the geometric shape of the Peano pre-fractal elements, the reconfiguration possibility of these structures is also investigated and discussed. This thesis also approaches, the construction of efficient selective filters with new configurations of teragons pre-fractal patches, proposed to control the WLAN coverage in indoor environments by rejecting the signals in the bands of 2.4~2.5 GHz (IEEE 802.11 b) and 5.0~6.0 GHz (IEEE 802.11a). The FSSs are initially analyzed through simulations performed by commercial software s: Ansoft DesignerTM and HFSSTM. The fractal design methodology is validated by experimental characterization of the built prototypes, using alternatively, different measurement setups, with commercial horn antennas and microstrip monopoles fabricated for low cost measurements / Nesta tese, uma superf?cie seletiva de frequ?ncia (FSS) consiste de uma estrutura peri?dica bidimensional montada sobre um substrato diel?trico, que ? capaz de selecionar sinais em uma ou mais faixas de frequ?ncias de interesse. Em busca da obten??o de um melhor desempenho, dimens?es mais compactas, baixo custo de fabrica??o, entre outras caracter?sticas, estas estruturas peri?dicas t?m sido continuamente otimizadas ao longo do tempo. Devido ?s suas caracter?sticas espectrais, que s?o similares as de filtros rejeita-faixa ou passa-faixa, as FSSs t?m sido estudadas e usadas em aplica??es diversas por mais de quatro d?cadas. O projeto de uma FSS com uma estrutura peri?dica composta de elementos pr?fractais facilita a sintonia destes filtros espaciais e o ajuste de seus par?metros eletromagn?ticos, possibilitando uma constru??o compacta, que, em geral, apresenta uma resposta est?vel em frequ?ncia e desempenho superior em rela??o ? sua contrapartida euclidiana. As propriedades ?nicas dos fractais geom?tricos t?m-se mostrado bastante ?teis, principalmente para a constru??o de antenas e superf?cies seletivas de frequ?ncia, permitindo solu??es inovadoras e aplica??es comerciais na faixa de micro-ondas. Em aplica??es mais recentes, as FSSs modificam os ambientes de propaga??o indoor (conceito emergente chamado de wireless building ). Neste contexto, o uso de elementos pr?-fractais tamb?m tem apresentado resultados promissores, tornando mais efetiva a filtragem de mais de uma faixa de frequ?ncias com uma estrutura de camada simples. Esta tese aborda o projeto de FSSs com elementos pr?-fractais baseados nas geometrias de Vicsek, Peano e dos ter?gonos, que funcionam como filtros espaciais do tipo rejeita-faixa. As propriedades de transmiss?o das superf?cies peri?dicas s?o analisadas para a concep??o de dispositivos eficientes, compactos e com respostas est?veis em frequ?ncia, aplic?veis na faixa de micro-ondas e adequados para utiliza??es em comunica??es indoor. Os resultados s?o discutidos em termos do efeito eletromagn?tico decorrente da varia??o de par?metros como, n?mero de itera??es fractais (ou n?vel do fractal), fator de escala, dimens?o fractal e periodicidade da FSS, de acordo com o elemento pr?-fractal utilizado. A an?lise da influ?ncia da dimens?o fractal sobre as propriedades de resson?ncia de uma FSS ? uma contribui??o nova no que diz respeito ?s pesquisas com dispositivos de micro-ondas que utilizam geometrias fractais. Devido ?s caracter?sticas pr?prias e a forma geom?trica dos elementos pr?-fractais de Peano, a possibilidade de reconfigura??o destas estruturas tamb?m ? investigada e discutida. Esta tese aborda ainda, a constru??o de filtros seletivos eficientes com novas configura??es de patches pr?-fractais do tipo ter?gonos, propostos para controle de cobertura WLAN em ambientes indoor, rejeitando os sinais nas faixas de 2,4~2,5 GHz (IEEE 802.11b) e 5,0~6,0 GHz (IEEE 802.11a). As FSSs s?o analisadas inicialmente por meio de simula??es executadas pelos programas comerciais Ansoft DesignerTM e HFSSTM. A metodologia de projeto ? validada atrav?s da caracteriza??o experimental dos prot?tipos constru?dos utilizando, alternativamente, diferentes setups de medi??o, com antenas corneta comerciais e monopolos de microfita de fabrica??o pr?pria para medi??es de baixo custo
55

Otimiza??o de superf?cies seletivas de frequ?ncia com elementos pr?-fractais utilizando rede neural MLP e algoritmos de busca populacional

Silva, Marcelo Ribeiro da 27 January 2014 (has links)
Made available in DSpace on 2014-12-17T14:55:18Z (GMT). No. of bitstreams: 1 MarceloRS_TESE.pdf: 2113878 bytes, checksum: 1cc62a66f14cc48f2e97f986a4dbbb8d (MD5) Previous issue date: 2014-01-27 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior / This thesis describes design methodologies for frequency selective surfaces (FSSs) composed of periodic arrays of pre-fractals metallic patches on single-layer dielectrics (FR4, RT/duroid). Shapes presented by Sierpinski island and T fractal geometries are exploited to the simple design of efficient band-stop spatial filters with applications in the range of microwaves. Initial results are discussed in terms of the electromagnetic effect resulting from the variation of parameters such as, fractal iteration number (or fractal level), fractal iteration factor, and periodicity of FSS, depending on the used pre-fractal element (Sierpinski island or T fractal). The transmission properties of these proposed periodic arrays are investigated through simulations performed by Ansoft DesignerTM and Ansoft HFSSTM commercial softwares that run full-wave methods. To validate the employed methodology, FSS prototypes are selected for fabrication and measurement. The obtained results point to interesting features for FSS spatial filters: compactness, with high values of frequency compression factor; as well as stable frequency responses at oblique incidence of plane waves. This thesis also approaches, as it main focus, the application of an alternative electromagnetic (EM) optimization technique for analysis and synthesis of FSSs with fractal motifs. In application examples of this technique, Vicsek and Sierpinski pre-fractal elements are used in the optimal design of FSS structures. Based on computational intelligence tools, the proposed technique overcomes the high computational cost associated to the full-wave parametric analyzes. To this end, fast and accurate multilayer perceptron (MLP) neural network models are developed using different parameters as design input variables. These neural network models aim to calculate the cost function in the iterations of population-based search algorithms. Continuous genetic algorithm (GA), particle swarm optimization (PSO), and bees algorithm (BA) are used for FSSs optimization with specific resonant frequency and bandwidth. The performance of these algorithms is compared in terms of computational cost and numerical convergence. Consistent results can be verified by the excellent agreement obtained between simulations and measurements related to FSS prototypes built with a given fractal iteration / Esta tese descreve metodologias de projeto para superf?cies seletivas de frequ?ncia (FSSs) compostas por arranjos peri?dicos de patches met?licos pr?-fractais impressos em camadas diel?tricas simples (FR4, RT/duroid). As formas apresentadas pelas geometrias correspondentes ? ilha de Sierpinski e ao fractal T s?o exploradas para o projeto simples de filtros espaciais rejeita-faixa eficientes com aplica??es na faixa de micro-ondas. Resultados iniciais s?o discutidos em termos do efeito eletromagn?tico decorrente da varia??o de par?metros como, n?mero de itera??es fractais (ou n?vel do fractal), fator de itera??o fractal, e periodicidade da FSS, dependendo do elemento pr?-fractal utilizado (ilha de Sierpinski ou fractal T). As propriedades de transmiss?o destes arranjos peri?dicos propostos s?o investigadas atrav?s de simula??es realizadas pelos programas comerciais Ansoft DesignerTM e Ansoft HFSSTM, que executam m?todos de onda completa. Para validar a metodologia empregada, prot?tipos de FSS s?o selecionados para fabrica??o e medi??o. Os resultados obtidos apontam caracter?sticas interessantes para filtros espaciais de FSS, tais como: estrutura compacta, com maiores fatores de compress?o de frequ?ncia; al?m de respostas est?veis em frequ?ncia com rela??o ? incid?ncia obl?qua de ondas planas. Esta tese aborda ainda, como enfoque principal, a aplica??o de uma t?cnica alternativa de otimiza??o eletromagn?tica (EM) para an?lise e s?ntese de FSSs com motivos fractais. Em exemplos de aplica??o desta t?cnica, elementos pr?-fractais de Vicsek e Sierpinski s?o usados no projeto ?timo das estruturas de FSS. Baseada em ferramentas de intelig?ncia computacional, a t?cnica proposta supera o alto custo computacional proveniente das an?lises param?tricas de onda completa. Para este fim, s?o desenvolvidos modelos r?pidos e precisos de rede neural do tipo perceptron de m?ltiplas camadas (MLP) utilizando diferentes par?metros como vari?veis de entrada do projeto. Estes modelos de rede neural t?m como objetivo calcular a fun??o custo nas itera??es dos algoritmos de busca populacional. O algoritmo gen?tico cont?nuo (GA), a otimiza??o por enxame de part?culas (PSO), e o algoritmo das abelhas (BA), s?o usados para a otimiza??o das FSSs com valores espec?ficos de frequ?ncia de resson?ncia e largura de banda. O desempenho destes algoritmos ? comparado em termos do custo computacional e da 13 converg?ncia num?rica. Resultados consistentes podem ser verificados atrav?s da excelente concord?ncia obtida entre simula??es e medi??es referentes aos prot?tipos de FSS constru?dos com uma dada itera??o fractal
56

Análise fractal de formas urbanas: estudo sobre a dimensão fractal e o Índice de Desenvolvimento Humano Municipal (IDHM)

Costa, Paulo Cesar da 18 February 2014 (has links)
Made available in DSpace on 2016-03-15T19:37:49Z (GMT). No. of bitstreams: 1 Paulo Cesar da Costa.pdf: 4253113 bytes, checksum: 8fe9dda35243a879336e5fa6037d55cb (MD5) Previous issue date: 2014-02-18 / The concepts of fractal geometry, which were developed in 1975 by Mandelbrot, complement Euclidean geometry as they provide theoretical dimensional fundamentals for shapes whose irregularities cannot be properly interpreted by classical topological definitions. The standards of this irregular morphology, found in abundance in nature, can be recognized in the construction processes of various fractals anthropic figures, mainly when combined with computational technology. Professionals and researchers from several knowledge fields are exploring these concepts to simulate or create models of irregular shapes, with detail levels hitherto inconceivable. Earth sciences supported by geotechnologies have great potential for applying Mandelbrot s theories as a conceptual reference for analyzing phenomena presenting fractal behaviors, belonging to different application areas as geomorphology, climatology and urban and landscapes studies. In this approach, the fractal dimension of the territorial space occupied by cities is considered an indicator for understanding occupation patterns as one of the factors to be considered in urban planning policies, e.g., to propose projects for more appropriate investments distribution and development of infrastructure. In this work, these concepts were applied by using the box-counting method to calculate the fractal dimension of urban forms from eight Brazilian state capitals by using the Municipal Human Development Index (MHDI) as the selection criteria: four cities ranked among the top of the list and four cities classified among the last positions of the state capitals. The results were analyzed in order to identify possible relationships or trends among these indicators, namely, fractal dimension and MHDI, that may support future studies and urban planning. These relationships were not confirmed: the eight studied cities presented heterogeneous fractal dimension values and no trends were verified. However, it was concluded that the fractal dimension of urban form is related to its scattering pattern and occupation over the geographical territorial space and may be an indicator of the occupation density from the urban area. / Os conceitos da geometria fractal, desenvolvida em 1975 por Mandelbrot, complementam os da geometria euclidiana à medida que fornecem um arcabouço teórico de cálculo dimensional para diversas formas cujas irregularidades apresentam características que não podem ser interpretadas adequadamente pelas definições topológicas clássicas. Os padrões dessa morfologia irregular, encontrada em abundância na natureza, podem ser reproduzidos em processos de construção de figuras fractais desenvolvidas pelo homem, especialmente quando combinadas com a tecnologia computacional. Profissionais e pesquisadores de diversas áreas de conhecimento passaram a explorar esses conceitos a fim de simular ou criar modelos de formas irregulares, com níveis de detalhe até então inconcebíveis. As ciências da Terra, com o apoio de ferramentas de geotecnologia, apresentam grande potencial de se apropriar das teorias da geometria de Mandelbrot, como referência conceitual aos estudos de fenômenos que apresentam comportamento fractal, pertencentes a várias áreas de aplicação como a geomorfologia, climatologia e os estudos urbanos e de paisagens. Nessa abordagem, a dimensão fractal do espaço territorial ocupado pelas cidades vem sendo considerada indicador importante para entendimento desse padrão de ocupação, contribuindo como um dos fatores a ser considerados nas políticas de planejamento urbano e, por exemplo, propor projetos de distribuição de investimentos e desenvolvimento de infraestrutura mais adequados. Neste trabalho, esses conceitos foram aplicados por meio da utilização do método da contagem de quadrados para calcular a dimensão fractal das formas urbanas de oito capitais brasileiras, utilizando o Índice de Desenvolvimento Humano Municipal (IDHM) de 2010, publicado em julho de 2013, como critério de seleção. Foram escolhidas quatro cidades classificadas entre as primeiras da lista e outras quatro que ocupam as últimas posições entre as capitais estaduais, com o objetivo de encontrar possíveis relações ou tendências entre esses indicadores dimensão fractal e IDHM que pudessem subsidiar futuros estudos e planejamentos urbanos. Os resultados obtidos não revelaram a existência de tais relações: as oito cidades estudadas apresentaram valores dimensionais heterogêneos, sem registro de tendências. No entanto, foi possível concluir que a dimensão fractal de uma forma urbana está relacionada ao seu padrão de espalhamento e ocupação do espaço territorial geográfico e pode ser considerada um indicador da densidade de ocupação da área urbana.
57

Modelování postkritických stavů štíhlých konstrukcí / Modelling of postcritical states of slender structures

Mašek, Jan January 2016 (has links)
The aim of the presented thesis is to create a compact publication which deals with properties, solution and examination of behavior of dynamical systems as models of mechanical structures. The opening portion of the theoretical part leads the reader through the subject of description of dynamical systems, offers solution methods and investigates solution stability. As the introduction proceeds, possible forms of structure loading, damping and response are presented. Following chapters discuss extensively the possible approaches to system behavior observation and identification of nonlinear and chaotic phenomena. The attention is also paid to displaying methods and color spaces as these are essential for the examination of complex and sensitive systems. The theoretical part of the thesis ends with an introduction to fractal geometry. As the theoretical background is laid down, the thesis proceeds with an application of the knowledge and shows the approach to numerical simulation and study of models of real structures. First, the reader is introduced to the single pendulum model, as the simplest model to exhibit chaotic behavior. The following double pendulum model shows the obstacles of observing systems with more state variables. The models of free rod and cantilever serve as examples of real structure models with many degrees of freedom. These models show even more that a definite or at least sufficiently relevant monitoring of behavior of such deterministic systems is a challenging task which requires sophisticated approach.
58

Lattice Point Counting through Fractal Geometry and Stationary Phase for Surfaces with Vanishing Curvature

Campolongo, Elizabeth Grace 02 September 2022 (has links)
No description available.
59

Hatten’s theory of musical gesture : an applied logico-deductive analysis of Mozart’s Flute quartet in D, K.285

Scott, Douglas Walter 06 1900 (has links)
This study investigates the possibility of applying Hatten’s theory of musical gesture to a formal system of musical analysis. Using historical antecedents and established musicological practice as a guide, a range of musical parameters in a motive length span of music are incorporated into a single gesture. This gesture forms the basic semantic unit upon which an analytical tableau structure is built, and a syntax is developed to allow derivations of new gestures; a large scale structure displaying fractal-like self-similarity is then proposed. The completed system is applied to the analysis of the ‘Adagio’ of Mozart’s Flute Quartet K.285 to test whether it can consistently be implemented and whether it produces falsifiable results while maintaining predictive power. It is found that these requirements are indeed met and that a set of inference rules can be derived suggesting that the proposed system has ample scope for further development. / Art History, Visual Arts & Musicology / M. Mus.
60

The Mechanics and Fixed Operations of Human Experience

Di Netta, James Dominick 01 January 2016 (has links)
This paper will use the natural laws of the universe and amassed evidence to support a dynamic systems theory approach to explain the mechanics and fixed operations of the human experience taking place inside a causally determined universe without the possibility of free will. By reductionary methods, the universe and all its’ contents, including human agents, will be exemplified as complex dynamic systems. In so doing, the human experience is reduced to being comprised of information acting and reacting with other information existing in the universe, specifically ideas. Allowing ideas to take on a physical manifestation shows how the feedback of information directly results in the rise of human consciousness and the sensation of control and volition over actions. Thus, the methods and philosophies used in this paper will set out to rebut metaphysical libertarian views asserting alternative possibilities by way of Rollback Arguments and two other libertarian arguments raised by Alfred R. Mele. This paper aims to provide a description and deeper appreciation for the mechanics and fixed operations of the human experience in a universe where free will is nonexistent.

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