Thesis (MSc (Mathematical Sciences. Applied Mathematics))--Stellenbosch University, 2008. / The NLS is a universal equation of the class of nonlinear integrable systems. The aim of this thesis is to study the NLS numerically. More speci cally, an algorithm is developed to calculate its nonlinear spectrum. The nonlinear spectrum is then used as a diagnostic for numerical studies of the NLS. The spectrum consists of a discrete part, further subdivided into the main part, the auxiliary part, and the continuous spectrum. Two algorithms are developed for calculating the main spectrum. One is based on Floquet theory, rst implemented by Overman [12]. The other is a direct calculation of the eigenvalues by Herbst and Weideman [16]. These algorithms are combined through the marching squares algorithm to calculate the continuous spectrum. All ideas are illustrated by numerical examples.

The thesis is focused on the development of investment patterns of the sectoral point of view in comparison with the EU and selected member countries. The aim of the thesis is to bring the industrial structure of gross fixed capital formation in the Czech Republic and compare the founded results with those for the European Union and selected EU member states. The theoretical part deals with basic facts about investment, what they represent, how they are distinguished and what is the importance in the national economy. The practical part deals with the structure of investments in the Czech Republic in terms of material and sectoral in the form of graphs and tables. Then there is noted the comparison of the Czech Republic data with the EU and selected member countries in the shares of total investment to GDP, gross fixed capital formation by industry structure and investment by institutional sectors.

PURPOSE: The purpose of this study was to assess the ability of Micro Computed Tomography (Micro CT) to measure primary tumor size in breast lumpectomy specimens, as compared to the histopathological measurement. METHODS: This was a diagnostic study involving women who were scheduled to have breast lumpectomy surgery at the Massachusetts General Hospital (MGH) Department of surgery from June 2011 - September 2011. Those who met the study eligibility criteria were recruited to participate in the study. The study was approved by the MGH Institutional Review Board (IRB). All the participants provided consent prior to their participation in the study. The lumpectomy specimens of 45 subjects were scanned by Micro CT scan for no longer than 15 minutes, they were then delivered to the gross pathology lab for processing via the standard pathological protocol. Later on, the maximum dimension of the invasive breast tumor was obtained from the Micro CT image and was compared to the corresponding pathology report for each subject. RESULTS: We found that Micro CT tends to overestimate the breast malignant tumor size. However, there were few differences in T-stage classification between Micro CT and pathology. Overall, Micro CT demonstrated good agreement with pathological tumor size and staging. For Invasive ductal carcinoma, Micro CT showed a substantial agreement with pathological tumor size and staging. However, Micro CT showed no agreement with pathological tumor size and staging for invasive lobular carcinoma. CONCLUSIONS: Micro CT is a promising modality in measuring and staging the invasive ductal carcinoma.

294 pages / This study identifies and examines Moises Kaufinan's theoretical questions and rehearsal techniques from their development in initial works at New York University to their specific application during the creation of Gross Indecency: The Three Trials of Oscar Wilde and The Laramie Project by his Tectonic Theater Project. Kaufinan's upbringing and major artistic influences are investigated in order to trace the origins of his current theoretical language and approach to making theatre. This dissertation primarily focuses on Kaufi:nan's approach to the workshop space as discussed in relation to his search for new theatrical forms, and his style of communication with company members. Such focus offers new questions regarding the basis and range ofKaufinan's aesthetic. The two guiding questions of the study ask: What is Kaufinan's directorial role in Tectonic Theatre Project's creation of new work? How does he ensure the "copulation" of form and content in the workshop space when creating new works? Chapter II outlines Kaufman's biography through detailing his education in Venezuela and in the Experimental Theatre Wing at New York University, as well as traces his early production history. Chapter III investigates how Tectonic techniques led to the creation of Gross Indecency examining Kaufman's inciting hunch, the depth of his research, his organizing principle and expanding through-lines, and "moment work." Chapter IV continues to trace the development of these Tectonic techniques through the creation of The Laramie Project, highlighting the fact that no two Tectonic Theater Project productions have been created in the same manner. This chapter also raises the crucial question of Kaufman's role as Tectonic's workshop director in regards to the issues of authority and authoring. Chapter V arrives at concluding questions and thoughts on Kaufman's theoretical questions in traffic with his workshop techniques, and how these shape his directorial and authorial aesthetics. Chapter V concludes with questions for further study on Kaufman and historically based theatre.

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / Irrigation must function adequately meet the water demands of crops so that they express their full productive potential. However, there are variations with the soil-plant-atmosphere relationship, interfering to determine the differences in crop yields, therefore, the use of technology and equipment is essential for good irrigation management. Techniques involving the use of agricultural instrumentation to determine irrigation depths are of great importance to scientific research. Regardless of the technique used, by soil or weather, is important an irrigation depth accurately determined and preferably easy. In order to compare methods of irrigation management, trying to verify the performance and sensitivity of these methods, from data retention curve of soil water, an experiment was installed in Fazenda Liberdade ,Santiago city (RS) in a Cruz Alta map unit, Haplustox, typical clay horizons A and B. Therefore, it was installed in an area of 88.64 ha , under a fixed central pivot, Watermark sensors to the method of handling the soil , such as humidity sensors , data collections with TDR and collection of soil samples for determination of gravimetric moisture by the electric furnace method. TDR data from the present study as a standard data depths of 7.6 , 10, 12, 20, 30 and 40 cm , and considering were analyzed . For management methods via weather a Irrigameter were installed along with a tank class A , methods via climate as Hargreaves & Samani , Thorthwaite , Camargo were also tested - 71 and Penman - Montheith . The results obtained with crude blade Watermark humidity sensors showed a very close to that obtained by TDR behavior compared to the class methods via climate Camargo and The Tank - 71 underestimated or overestimated results when compared to other methods . The results obtained by the methods of managing the soil are of greater precision than the methods via climate. / A irrigação tem a função de suprir adequadamente as demandas hídricas das culturas, para que estas expressem seu máximo potencial produtivo. Porém ocorrem variações no que diz respeito à relação solo, planta, atmosfera, que inferem de maneira a determinar diferenças nas produções das culturas, portanto, a utilização de tecnologias e equipamentos é fundamental para um bom manejo da irrigação. Técnicas que envolvem a utilização da instrumentação agronômica com vistas em determinar lâminas brutas para manejo de irrigação são de grande importância para a pesquisa científica. Independentemente da técnica utilizada, tanto via solo quanto via clima é importante que, na determinação da lâmina bruta seja determinada de forma precisa e, de preferência, que haja facilidade na sua obtenção. Com o objetivo de comparar métodos de manejo de irrigação, buscando verificar o desempenho e sensibilidade destes métodos, a partir dos dados da curva de retenção de água no solo, foi instalado um experimento na Fazenda Liberdade no município de Santiago (RS), em um Latossolo Vermelho distrófico típico, unidade de mapeamento Cruz Alta com textura argilosa nos horizontes A e B. Para tanto, foi instalado numa área de 88,64 ha, este sob um pivô central fixo, sensores Watermark para o método de manejo via solo, como sensores de umidade, coletas de dados com o TDR e coletas de amostras de solo para determinação da umidade gravimétrica pelo método do forno elétrico. Foram analisadas as profundidades de 7,6, 10, 12, 20, 30 e 40 cm e considerando, os dados do TDR no presente estudo, como dados-padrão. Para os métodos de manejo via clima foram instalados um irrigâmetro juntamente com um tanque classe A, também foram testados os métodos via clima como Hargreaves & Samani, Thorthwaite, Camargo 71 e Penman - Montheith. Os resultados de lâmina bruta obtidos com sensores de umidade Watermark apresentou um comportamento muito próximo ao obtido pelo TDR, quando comparado aos métodos via clima o tanque classe A e Camargo 71 subestimou ou superestimou os resultados quando comparados aos outros métodos. Os resultados obtidos pelos métodos de manejo via solo são de maior precisão do que os métodos via clima.

Made available in DSpace on 2015-06-17T19:34:31Z (GMT). No. of bitstreams: 0 Previous issue date: 2015-03-07. Added 1 bitstream(s) on 2015-06-18T12:48:41Z : No. of bitstreams: 1 000831658.pdf: 1830056 bytes, checksum: 3210c34fc6aebd29c87e24549ab48d45 (MD5) / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / Neste trabalho teórico em Equações Diferenciais Parciais Elípticas, estudamos uma versão estacionária da equação de Schrödinger não-linear biharmônica. O objetivo principal versa sobre resultados de existência e concentração de soluções não-triviais, quando um parâmetro tende a zero. São utilizados métodos variacionais para estudar existência das soluções fracas não-triviais com hipóteses sobre o pontecial e sobre a não-linearidade / In this theoretical work in Elliptic Partial Di erential Equations, we study a stationary version of the biharmonic nonlinear Schrödinger equation. The main objective aims existence results and concentration of nontrivial solutions when a parameter tends to zero. Variational methods are used to study the existence of the weak nontrivial solutions under certain assumptions on the potential and the nonlinearity

This thesis studies the relationship between GDP and Social Progress Index, components of social progress model and their dimensions. Using the dataset of 49 countries and Bayesian Model Averaging (BMA) and clustering analysis we found that there is not straight relationship between GDP and SPI. By testing 15 different models for each of 3 dimension (Basic Human Needs, Foundations of Wellbeing and Opportunity) of SPI we have found that the best variation of components would be to include all of them for each dimension. By using BMA approach we have found that the best model of SPI out of 12 components includes only intercept, tolerance and inclusion variables. The rest of components show quite low probability of inclusion, however, none of them showed 0 posterior probability. JEL Classification A13, C11, E01, I30, Keywords Kuznets, progress, SPI, GDP, BMA Author's e-mail valeria.e.efimenko@gmail.com Supervisor's e-mail daniel.vach@gmail.com

Orientador: Marcos Tadeu de Oliveira Pimenta / Banca: Messias Meneguette Júnior / Banca: Michele de Oliveira Alves / Resumo: Neste trabalho teórico em Equações Diferenciais Parciais Elípticas, estudamos uma versão estacionária da equação de Schrödinger não-linear biharmônica. O objetivo principal versa sobre resultados de existência e concentração de soluções não-triviais, quando um parâmetro tende a zero. São utilizados métodos variacionais para estudar existência das soluções fracas não-triviais com hipóteses sobre o pontecial e sobre a não-linearidade / Abstract: In this theoretical work in Elliptic Partial Di erential Equations, we study a stationary version of the biharmonic nonlinear Schrödinger equation. The main objective aims existence results and concentration of nontrivial solutions when a parameter tends to zero. Variational methods are used to study the existence of the weak nontrivial solutions under certain assumptions on the potential and the nonlinearity / Mestre

Resumo: Investigamos as soluções estacionárias e dinâmicas da equação de Gross-Pitaevskii generalizada para sistemas atômicos com um potencial confinante e termos não conservativos associados à dissipação e à alimentação atômica, visando a descrição de condensados de Bose-Einstein. Consideramos os casos de comprimentos de espalhamento negativos (interações atrativas) e positivos (interações repulsivas) entre dois átomos. Verificamos como a variação dos parâmetros associados aos termos não conservativos pode produzir situações de instabilidade resultando no fenômeno conhecido como caos espaço temporal. Por outro lado, verificamos também quais combinações de parâmetros leva a soluções de equilíbrio, tipo solitônica. Nessa pesquisa, utilizando esse modelo de campo médio com uma parametrização conhecida, estudamos as propriedades de tais sistemas para alguns valores dos parâmetros não-conservativos, por meio de métodos numéricos e variacionais. / Abstract: We investigate the stationary and dynamical solutions of the Gross-Pitaevskii equation extended for atomic systems with confining potential in the presence of nonconservative terms associated to atomic dissipation and feeding, in order to describe Bose-Einstein Condensates. We considered the cases of negative (attractive interaction) and positive (repulsive interaction) two-body lenght. We verified how the variation of the parameters associated to those nonconservative terms could produce instabilities resulting in occurrence of spacetemporal chaos. In other hand, we looked for parameters combinations that give us stable solitonic-like solutions. In this research, by using the mean-field approach with a particular parameterization, we studied the properties of these systems for some values of the nonconservative parameters, by means of numerical and variational methods. / Orientador: Lauro Tomio / Coorientador: Victo dos Santos Filho / Banca: Gerson Francisco / Banca: Arnaldo Gammal / Mestre

The objective of this thesis was to determine relation between macroeconomic indicators development and the development on the capital market in the Czech Republic in phase 2000 {--} 2005. The description of macroeconomic development and the development on the capital market is partial objective. Also this thesis describes changeover from centrally planned economy system to free market economy before year 2000, actual development, trends and determining factors. The evaluation of the relationship between macroeconomic indicators development and the development on the capital market was based on a macroeconomic part of the fundamental analysis.