This diploma thesis is committed to examination of validity of Harmonic Patterns in Forex trading. Scott Carney described existing and introduced new Harmonic Patterns in 1999 in his book Harmonic Trader. These patterns use the Fibonacci principle to analyze price action and to provide both bullish and bearish trading signals. The goal of this thesis is to find out whether harmonic trading strategy on selected pairs is profitable in FX market, which patterns are the most profitable and what is the success rate for the signals they provide.

The thesis focuses on automated trading systems for trading on currency market. It describes basics of market analysis and deals with the design, optimization and identifying appropriate indicators of automatic trading system, which is based on the Fibonacci retracement. This system should serve as a decision support for trader's operations in the currency market. Furthermore, this thesis deals with the possibility of avoiding exchange rate risk by trading in the foreign exchange market.

Quasicrystals are systems that are ordered but not periodic. They do however still have long-range order and well-defined diffraction peaks. This leads to interesting properties, like critical states which are neither extended nor localized, and to topological invariants and edge states. We study how these peculiar properties impact superconductivity in an SNS-junction, by attaching superconducting leads to a quasicrystal nanowire. We choose to investigate proximitzed superconductivity in Fibonacci quasicrystals, since their normal state has been thoroughly studied and understood. Using the Bogoliubov-de Gennes method and solving the order parameter self-consistently, we calculate the proximity effect as well as the Josephson current. We find that quasicrystals can enhance the proximity effect and significantly enhance the Josephson currents.

CAPES / Apresentamos neste trabalho alguns paradoxos lógico-matemáticos, como o paradoxo de Galileu, e também alguns paradoxos geométricos, como os paradoxos de Curry, de Hooper e de Banach-Tarski. Empregamos os paradoxos de Curry e de Hooper para motivar o estudo de conceitos de Geometria e de Teoria dos Números, tais como área, semelhança de triângulos, o Teorema de Pitágoras, razões trigonométricas no triângulo retângulo, o coeficiente angular da reta e a sequência de Fibonacci, e organizamos atividades lúdicas para a sala de aula no Ensino Fundamental e no Ensino Médio. / We present in this work some logical-mathematical paradoxes, as Galileo's paradox, and also some geometric paradoxes, such as Curry's paradox, Hooper's paradox and the Banach-Tarski paradox. We employ the Curry and Hooper paradoxes to motivate the study of concepts of Geometry and Number Theory, such as area, triangle similarity, Pythagorean Theorem, trigonometric ratios in the right triangle, angular coefficient of the line, and Fibonacci sequence, and we organize recreation activities for the classroom in Elementary and High School.

波浪理論是由 Nalph Nelson Elliott在1938年所發表的價格趨勢分析工具，它也是近年來技術分析界運用相當廣泛的一種工具。艾略特認為：「不管是股票或是任何商品價格的波動，都與大自然潮汐一樣，具有一種相當程度的規律性。」。其實這個原理和產業周期循環也很接近，運用於越多人參與的市場會越準確，因為人性也是一種大自然的現象。 台灣加權股價指數是以民國55年為基期100來編製，本文雖由民國55年談起，但由於資料繁多，故集中採用民國76年1月至民國95年12月的二十年資料做為資料收集期間，以艾略特波浪理論的原則找出在台灣股市的應用規則，進而推演出未來的走勢。 / Wave Principle is a trend analysis method that was developed by Nalph Elliott in 1938. Today, the principle is one of the most widely adopted methods for technical analysis in finance. Elliott discovered that the ever-changing path of stock market prices reveals a structural design that in turn reflects a basic harmony found in nature. In fact this principle is also similar to industry cycle. When this principle is utilized in a market, especially when a lot of people participate in this market, the principle will be rather accurate, because humanity is also a natural phenomenon. The Taiwan Weighted Stock Index was at 100 in 1966, the base period. Although the discussion in this paper starts from 1966, due to the abundance of the data, I decide to focus my research on the recent twenty years. The purpose of this study is to identify the usability of Eilliott’s Wave Principle by applying it in Taiwan’s stock market and to figure out the trend for the future.

This study explores text and music relations in Canadian composer Violet Archer’s “The Twenty-Third Psalm” by analysing the text of Psalm 23, Fibonacci numbers, melodic contours, motives, and the role of the accompaniment. The text focuses on David’s faith in God and his acceptance of God as his shepherd on earth. The four other approaches allow us to examine the work on three different structural levels: background through Fibonacci numbers, middleground through melodic contour analysis, and foreground through motivic analysis and the role of the accompaniment. The measure numbers that align with Fibonacci numbers overlap with some of the melodic contour phrases, which are demarcated by rests, as well as with the most important moments at the surface level, such as the emphasis on the word “death” through recurring and symbolic motives. The piano accompaniment further supports these moments in the text.

Made available in DSpace on 2016-04-28T14:16:42Z (GMT). No. of bitstreams: 1 Alberto Tadeu Acaiaba dos Santos.pdf: 1898301 bytes, checksum: dff408eb33e28cabba94fce850811da9 (MD5) Previous issue date: 2009-10-15 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / The contribution of Leonardo de Pisa for the commercial mathematics of XIII century, from the publication of the Líber Abacci and the spreading of the hindu arabian numbers in the Europe in substitution to the Roman numbers, thus facilitating the commercial transactions between the peoples after the opening of the ports. We will analyze the importance of the Pisa s Leonardo de Pisa Book publication, mainly the relative aspect the commercial mathematics, the applicability of the methods of conversion developed by it, the social political moment that had favored its success and the recognition of its excellence at a time marked for a long period of ostracism. The aim of this dissertation is the analysis of the importance of the publication of the book; why of the success of the same and, although some problems even though it s time to be considered of little use the workmanship if supported during the turbulence of the period. For this he will be analyzed the problems of the book as primary source (digitalized edition) and will have theoretical subsidies from the workmanship History of the mathematics of Carl B. Boyer and will be supported in the theoretical workmanships of Dirk Struik, Rubens Gouvêa Lintz, Ubiratan D Ambrosio, Russell, the social moment and philosophical Thomas will be based in the writings of Santo Tomás de Aquino who had great influence in this period of the Europe. This project is excellent for the studies of the Mathematics History because we can verify that Science and History are strict on throughout the times, discoveries are supported or refuted, thus forming some of the fundamental questions in history of Science, of that we must reflect on the past, not to look at it with an anachronistic vision, therefore thus we will be able to understand questions and moments. When analyzing the Pisa s Leonardo book, I intend to show that science is supported at the historical moment and that if Fibonacci got success where others if had not failed, had not shown in such a way, this if must to the general contextual moment of the time. But history is not discontinued as they think, as well as nothing appears for one passes of magician, has a link that they join the ideas and accomplishments for the introduction hindu-arabic numbers in the Europe, has a social moment that determines its acceptance or and mainly it does not have the fertile mind of Fibonacci that knew to lancer the effective situations and assim to get success where others had failed, thus giving a light in the tunnel s end for a period of considered by some until the present as one period of darkness s in the scientific field / A colaboração de Leonardo de Pisa para a matemática comercial do século XIII, a partir da publicação do Líber Abacci e a divulgação dos números hindu - arábicos na Europa, em substituição aos números romanos, passou a facilitar assim as transações comercial entre os povos após a abertura dos portos. Desse modo, analisamos, por meio deste trabalho, a importância da publicação do Livro de Leonardo de Pisa, principalmente o aspecto relativo à matemática comercial, a aplicabilidade dos métodos de conversão desenvolvidos por ele e o momento sócio-político que favoreceram seu sucesso e o reconhecimento do seu brilhantismo em uma época marcada por um longo período de ostracismo. A finalidade desta dissertação é a análise da importância da publicação do livro, o porquê do sucesso de seu sucesso e, apesar de alguns problemas, até mesmo para sua época, ou seja, o fato de a obra ser considerada de pouco uso, pôde sustentar-se durante a turbulência do período. Para isto, analisaram-se os problemas do livro como fonte primária (edição digitalizada) e como subsídios teóricos optamos por adotar a obra História da matemática de Carl B. Boyer, amparada nas obras teóricas de Dirk Struik,Rubens Gouvêa Lintz,Ubiratan D Ambrosio,Bertran Russell,Quanto ao momento social e filosófico, esse foi embasado nos escritos de Santo Thomás de Aquino que teve grande influência neste período da Europa. Trata-se de um trabalho relevante para os estudos da História da matemática porque podemos verificar que Ciência e História têm estado, ao longo dos anos, estritamente ligadas. descobertas são amparadas ou refutadas na, com e por meio dessa inter-relação, formando assim algumas das questões basilares em História da Ciência, ou seja, a de que devemos refletir sobre o passado e não olhá-lo com uma visão anacrônica, pois assim poderemos entender questões e momentos. Ao analisar o livro de Leonardo de Pisa, pretende-se mostrar que a ciência está amparada no momento histórico e que se Fibonacci obteve sucesso onde outros ,se não fracassaram, não brilharam tanto, isto se deve ao momento contextual geral da época. Todavia, a História não é descontinuada como pensam alguns, assim como nada surge em um passe de mágica, há um elo que une as idéias e realizações para a introdução dos números hindu-arábicos na Europa , há um momento social que determina sua aceitação ou não, e, principalmente, há a mente fértil de Fibonacci que soube relacionar as situações vigentes e obter êxito onde outros falharam , dando assim uma luz ao fim do túnel para um período, considerado por alguns até os dias de hoje, como um período de trevas no campo cientifico

This study explores text and music relations in Canadian composer Violet Archer’s “The Twenty-Third Psalm” by analysing the text of Psalm 23, Fibonacci numbers, melodic contours, motives, and the role of the accompaniment. The text focuses on David’s faith in God and his acceptance of God as his shepherd on earth. The four other approaches allow us to examine the work on three different structural levels: background through Fibonacci numbers, middleground through melodic contour analysis, and foreground through motivic analysis and the role of the accompaniment. The measure numbers that align with Fibonacci numbers overlap with some of the melodic contour phrases, which are demarcated by rests, as well as with the most important moments at the surface level, such as the emphasis on the word “death” through recurring and symbolic motives. The piano accompaniment further supports these moments in the text.

This work contains an overview of the results concerning number-theoretic pro- perties of some significant combinatorial sequences such as factorials, binomial coef- ficients, Fibonacci and Catalan numbers. These properties include parity, primality, prime power divisibility, coprimality etc. A substantial part of the text should be accessible to gifted high school students, the results are illustrated with examples. 1

This study explores text and music relations in Canadian composer Violet Archer’s “The Twenty-Third Psalm” by analysing the text of Psalm 23, Fibonacci numbers, melodic contours, motives, and the role of the accompaniment. The text focuses on David’s faith in God and his acceptance of God as his shepherd on earth. The four other approaches allow us to examine the work on three different structural levels: background through Fibonacci numbers, middleground through melodic contour analysis, and foreground through motivic analysis and the role of the accompaniment. The measure numbers that align with Fibonacci numbers overlap with some of the melodic contour phrases, which are demarcated by rests, as well as with the most important moments at the surface level, such as the emphasis on the word “death” through recurring and symbolic motives. The piano accompaniment further supports these moments in the text.