Métodos numéricos para resolução de equações diferenciais ordinárias lineares baseados em interpolação por spline

In this work we have elaborated a spline-based method of solution of inicial value problems involving ordinary differential equations, with emphasis on linear equations. The method can be seen as an alternative for the traditional solvers such as Runge-Kutta, and avoids root calculations in the linear time invariant case. The method is then applied on a central problem of control theory, namely, the step response problem for linear EDOs with possibly varying coefficients, where root calculations do not apply. We have implemented an efficient algorithm which uses exclusively matrix-vector operations. The working interval (till the settling time) was determined through a calculation of the least stable mode using a modified power method. Several variants of the method have been compared by simulation. For general linear problems with fine grid, the proposed method compares favorably with the Euler method. In the time invariant case, where the alternative is root calculation, we have indications that the proposed method is competitive for equations of sifficiently high order.

Prospecção e formação no domínio das competências e habilidades em tecnologia da informação: o caso do projeto metrópole digital em Natal/RN

This study deals with cognitive competences and abilities that are relevant to selection and education regarding Information Technology (IT). These competences relate to problem solving, decision making, and practical intelligence that regard scholar and extracurricular knowledge mobilization. The research aimed to contribute for the improvement of a selection instrument, consisting of five arrays of skills (dealing with objectives and prospection), as well as the development and comprehension of those skills that are involved in IT education. This is done by means of an analysis on the selection instrument used in the first selective process that occurred at Metropole Digital an Institute at the Federal University of Rio Grande do Norte in Brazil. This was evaluated aiming to acknowledge IT education (with basic training and emphasis on Web programming and electronics). The methodology used was of quantitative method involving performance scores relating education delivery. An Anova analysis of variance was done along with descriptive analysis involving socioeconomic data that was not observed in the meaningful relations between parental instruction and student performance in the graduate course. These analyses were able to point out the importance and need of the policies for vacancy reservation on behalf of public school students. A Spearman correlation analysis was done considering the instrument selection performance in the training course. The instrument is presented as a predictor that is significantly moderate and presents a good performance in the course as a whole. A Cluster and Regression analysis was also realized in the process. The first analysis allowed finding performance groups (Clusters) that ranged from medium and inferior. The regression analysis was able to point out association amongst criterion variables and the (average performance in basic and advanced modules) and explanatory (five matrixes). Regression analysis indicated that matrix 1 and matrix 3 were pointed out as being the strongest ones. In all the above analysis, the correlation between the instrument and the course was considered moderate. Thus this can be related in some of the aspects present in the course such as emphasis on evaluation itself as well as in technical contents and practical skills (educational ones) and competences and selection skills. It is known that the mediation of technological artifact in cultural context can foster the development of skills and abilities relevant to IT training. This study provides subsidies to reflect on the adoption of selection instrument and IT training in the Institute. Thus the research offers means to achieve a interdisciplinary discussion and enriching of areas such as Psychology and Information Technology; all of which regarding competencies and skills relevant in IT training

Apropriações, conflitos e negociações de gênero, classe e sorologia: etnografando situações e performances no mundo social do HIV/AIDS (Rio de Janeiro)

Considerando o caráter multifacetado e socialmente heterogêneo da epidemia do HIV/AIDS, gostaria de refletir sobre as formas pragmáticas de apropriação, negociação e conflito de gênero em termos das disposições possíveis de masculinidade e feminilidade ou, ainda, suas amplas combinações entre homens e mulheres de diferentes identidades sexuais e diversos status sorológicos. Os contextos a serem explorados e descritos são aqueles particulares ao mundo social da AIDS, incluindo tanto o cotidiano de uma ONG AIDS específica, bem como os que se apresentam em situações tanto públicas como privadas na cidade do Rio de Janeiro. Pretendo discutir como novas subjetividades podem se constituir a partir dos usos de categorias sexuais e sorológicas, valores morais e de expressões performativas de gênero.

Usando a história da resolução de alguns problemas para introduzir conceitos: sistemas lineares, determinantes e matrizes.

In this work we studied the method to solving linear equations system, presented in the book titled "The nine chapters on the mathematical art", which was written in the first century of this era. This work has the intent of showing how the mathematics history can be used to motivate the introduction of some topics in high school. Through observations of patterns which repeats itself in the presented method, we were able to introduce, in a very natural way, the concept of linear equations, linear equations system, solution of linear equations, determinants and matrices, besides the Laplacian development for determinants calculations of square matrices of order bigger than 3, then considering some of their general applications

Aquisição, processamento e análise de dados de sísmica de alta resolução na plataforma continental norte do Rio Grande do Norte: Vale inciso do rio açu

On the modern Continental Shelf to the north of Rio Grande do Norte state (NE Brazil) is located a paleo-valley, submerged during the last glacial sea-level lowstand, that marks continuation of the most important river of this area (Açu River). Despite the high level of exploration activity of oil industry, there is few information about shallow stratigraphy. Aiming to fill this gap, situated on the Neogene, was worked a marine seismic investigation, the development of a processing flow for high resolution data seismic, and the recognition of the main feature morphology of the study area: the incised valley of the River Açu. The acquisition of shallow seismic data was undertaken in conjunction with the laboratory of Marine Geology/Geophysics and Environmental Monitoring - GGEMMA of Federal University of Rio Grande do Norte UFRN, in SISPLAT project, where the geomorphological structure of the Rio paleovale Açu was the target of the investigation survey. The acquisition of geophysical data has been over the longitudinal and transverse sections, which were subsequently submitted to the processing, hitherto little-used and / or few addressed in the literature, which provided a much higher quality result with the raw data. Once proposed for the flow data was developed and applied to the data of X-Star (acoustic sensor), using available resources of the program ReflexW 4.5 A surface fluvial architecture has been constructed from the bathymetric data and remote sensing image fused and draped over Digital Elevation Models to create three-dimensional (3D) perspective views that are used to analyze the 3D geometry geological features and provide the mapping morphologically defined. The results are expressed in the analysis of seismic sections that extend over the region of the continental shelf and upper slope from mouth of the Açu River to the shelf edge, providing the identification / quantification of geometrical features such as depth, thickness, horizons and units seismic stratigraphyc area, with emphasis has been placed on the palaeoenvironmental interpretation of discordance limit and fill sediment of the incised valley, control by structural elements, and marked by the influence of changes in the sea level. The interpretation of the evolution of this river is worth can bring information to enable more precise descriptions and interpretations, which describes the palaeoenvironmental controls influencing incised valley evolution and preservation to provide a better comprehensive understanding of this reservoir analog system

Aplicação de softwares livres no Processamento de dados sísmicos de alta resolução

The increasing use of shallow seismic methods of high resolution, for investigations of geological problems, environmental or industrial, has impelled the development of techniques, flows and computational algorithms. The practice of applying techniques for processing this data, until recently it wasn t used and the interpretation of the data was made as they were acquired. In order to facilitate and contribute to the improvement of the practices adopted, was developed a free graphical application and open source, called OpenSeismic which is based on free software Seismic Un*x, widely used in the treatment of conventional seismic data used in the exploration of hydrocarbon reservoirs. The data used to validate the initiative were marine seismic data of high resolution, acquired by the laboratory of Geology and Marine Geophysics and Environmental Monitoring - GGEMMA, of the Federal University of Rio Grande do Norte UFRN, for the SISPLAT Project, located at the region of paleo-valley of the Rio Acu. These data were submitted to the processing flow developed by Gomes (2009), using the free software developed in this work, the OpenSeismic, as well other free software, the Seismic Un*x and the commercial software ProMAX, where despite its peculiarities has presented similar results

Caracterização sonográfica e sismoestratigráfica de alta resolução do estuário do Rio Potengi, Natal - RN

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Agricultura familiar integrada ao mercado: mediação política e transformações socioespaciais no assentamento rural Vale do Lírio/RN

It s an application about the development of the family agriculture integrated to the market in which is detected the development of the relation of partnership between settled of agrarian reform and the capitalist enterprise. It s shown initially, a conceptual discussion about family agriculture, watching the historical contexts that characterize the expropriation and subordination of the category. This way, the family agriculture is contextual zed in the moment of the modernization of the agriculture, he rising of the social tension in the area of the restructuration of production and the globalization. Finding to understand the agrarian question in Rio Grande do Norte, it s characterized the acting of the state in promoting agrarian reform politics and redistribution of lands. This way, the research demonstrate the reality of the settled of Vale do Lírio, with the partnership of the Caliman Company S. A. in this context, it s emphasized the social geographic transformation in the settler. This way it was realized the analysis of the survey of data in a lot of public department, and the research of the area with use of application form, in 90% percent of the researched group, with interviewing with the leaders of this group and with the manager of the Company. The research demonstrates an analysis of the reality lived by this group, in the perspective the interests of the government and the capital.