Zhou, Yu. / Thesis (Ph.D.)--Chinese University of Hong Kong, 2011. / Includes bibliographical references (leaves 152-165). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Abstract also in Chinese.

<p>Beaches can provide a natural barrier between the ocean and inland communities, ecosystems, and resources. These environments can move and change in response to winds, waves, and currents. When a hurricane occurs, these changes can be rather large and possibly catastrophic. The high waves and storm surge act together to erode beaches and inundate low-lying lands, putting inland communities at risk. There are thousands of buoys in the Atlantic Basin that record and update data to help predict climate conditions in the state of Florida. The data that was compiled and used into a larger data set came from two different sources. First, the hurricane data for the years 1992&ndash;2014 came from Unisys Weather site (Atlantic Basin Hurricanes data, last 40 years) and the buoy data has been available from the national buoy center. Using various statistical methods, we will analyze the probability of a storm being present, given conditions at the buoy; determine the probability of a storm being present categorically. There are four different types of sinkholes that exist in Florida and they are: Collapse Sinkholes, Solution Sinkholes, Alluvial Sinkholes, and Raveling Sinkholes. In Florida there are sinkholes that occur, because of the different soil types that are prevalent in certain areas. The data that was used in this study came from the Florida Department of Environmental Protection, Subsidence Incident Reports. The size of the data was 926 with 15 variables. We will present a statistical analysis of a sinkholes length and width relationship, determine the average size of the diameter of a sinkhole, discuss the relationship of sinkhole size depending upon their soil types, and acknowledge the best probable occurrence of when a sinkhole occurs. There will be five research chapters in this dissertation. In Chapter 2, the concept of Exploratory Factor Analysis and Non-Response Analysis will be introduced, in accordance of analyzing hurricanes. Chapter 3 will also address the topic of hurricanes that have formed from the Atlantic Basin from 1992&ndash;2014. The discussion of the probability of a storm being present (also categorically) will be addressed. In Chapter 4 a study of sinkholes in Florida will be addressed. In Chapter 5 we will continue our discussion on sinkholes in Florida, but focus on the time to event between the occurrences of the sinkholes. In the last chapter, Chapter 6, we will conclude with a future works and projects that can be created from the foundations of this dissertation. </p>

Orientador: Marcos Vieira Teixeira / Banca: João Frederico da Costa Azevedo Meyer / Banca: João Carlos Vieira Sampaio / Banca: Sergio Roberto Nobre / Banca: Vanderlei Marcos do Nascimento / Resumo: Este trabalho é resultado de uma pesquisa que vislumbra encontrar relações entre a Cartografia e a Geometria Diferencial. Toma como ponto de partida os problemas adjacentes à Projeção de Mercator e explicita sua influencia na história do Cálculo e da Geometria Diferencial nas análises das obras de Pedro Nunes, Edward Wright e Gauss. A falta do trabalho original impediu a análise do verdadeiro método usado por Mercator na construção de sua projeção. Nos tratados, Sobre Certas Dúvidas da Navegação e em Defensam da Carta de Marear, são encontrados vestígios da contribuição da obra de Pedro Nunes na construção da Projeção de Mercator e em Certaine Errors in Navegation, Edward Wright apresenta uma justificativa matemática para o problema. O estudo da obra General Investigations of Curved Surfaces revela que o tratamento cartográfico dado aos resultados obtidos por Gauss no levantamento geodésico da cidade de Hannover serviu como base para muitos dos seus trabalhos. Os conhecimentos de Cartografia e de Astronomia adquiridos na experiência de campo, podem ter levado Gauss à formalização da teoria geral das superfícies curvas e com esta foi possível traduzir a lei da projeção de Mercator em linguagem moderna / Abstract: This work is a result of research that envisions finding relations between Cartography and Differential Geometry. It takes as its starting point the problems surrounding the Mercator Projection and explains their influence in the history of calculus and differential geometry in the analysis of works of Pedro Nunes, Edward Wright and Gauss. The lack of labor prevented the original analysis of the true method used by Mercator in the construction of its projection. In the treaties, on Certain Questions of Navigation and the Letter of Defensam Marear traces of the contribution of the work of Pedro Nunes are found in the construction of the Mercator Projection and Certaine Errors in Navegation, Edward Wright presents a mathematical justification for the problem. The study of the book General Investigations of Curved Surfaces reveals that the treatment given to the mapping results obtained by the Gauss geodesic survey of Hannover city was the basis for many of his works. The knowledge of Cartography and Astronomy acquired in the field experience, may have taken Gauss to the formalization of the general theory of the surfaces curves and with this it was possible to translate the law of the projection of Mercator in modern language / Doutor

Made available in DSpace on 2014-06-11T19:31:42Z (GMT). No. of bitstreams: 0 Previous issue date: 2012-04-26Bitstream added on 2014-06-13T18:42:44Z : No. of bitstreams: 1 noelfilho_a_dr_rcla.pdf: 5554552 bytes, checksum: d7ac8c9e804b77fa358a56a9655da58b (MD5) / Este trabalho é resultado de uma pesquisa que vislumbra encontrar relações entre a Cartografia e a Geometria Diferencial. Toma como ponto de partida os problemas adjacentes à Projeção de Mercator e explicita sua influencia na história do Cálculo e da Geometria Diferencial nas análises das obras de Pedro Nunes, Edward Wright e Gauss. A falta do trabalho original impediu a análise do verdadeiro método usado por Mercator na construção de sua projeção. Nos tratados, Sobre Certas Dúvidas da Navegação e em Defensam da Carta de Marear, são encontrados vestígios da contribuição da obra de Pedro Nunes na construção da Projeção de Mercator e em Certaine Errors in Navegation, Edward Wright apresenta uma justificativa matemática para o problema. O estudo da obra General Investigations of Curved Surfaces revela que o tratamento cartográfico dado aos resultados obtidos por Gauss no levantamento geodésico da cidade de Hannover serviu como base para muitos dos seus trabalhos. Os conhecimentos de Cartografia e de Astronomia adquiridos na experiência de campo, podem ter levado Gauss à formalização da teoria geral das superfícies curvas e com esta foi possível traduzir a lei da projeção de Mercator em linguagem moderna / This work is a result of research that envisions finding relations between Cartography and Differential Geometry. It takes as its starting point the problems surrounding the Mercator Projection and explains their influence in the history of calculus and differential geometry in the analysis of works of Pedro Nunes, Edward Wright and Gauss. The lack of labor prevented the original analysis of the true method used by Mercator in the construction of its projection. In the treaties, on Certain Questions of Navigation and the Letter of Defensam Marear traces of the contribution of the work of Pedro Nunes are found in the construction of the Mercator Projection and Certaine Errors in Navegation, Edward Wright presents a mathematical justification for the problem. The study of the book General Investigations of Curved Surfaces reveals that the treatment given to the mapping results obtained by the Gauss geodesic survey of Hannover city was the basis for many of his works. The knowledge of Cartography and Astronomy acquired in the field experience, may have taken Gauss to the formalization of the general theory of the surfaces curves and with this it was possible to translate the law of the projection of Mercator in modern language