944 resultados para Lyra geometry
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This study evaluates the dosimetric impact caused by an air cavity located at 2 mm depth from the top surface in a PMMA phantom irradiated by electron beams produced by a Siemens Primus linear accelerator. A systematic evaluation of the effect related to the cavity area and thickness as well as to the electron beam energy was performed by using Monte Carlo simulations (EGSnrc code), Pencil Beam algorithm and Gafchromic EBT2 films. A home-PMMA phantom with the same geometry as the simulated one was specifically constructed for the measurements. Our results indicate that the presence of the cavity causes an increase (up to 70%) of the dose maximum value as well as a shift forward of the position of the depthedose curve, compared to the homogeneous one. Pronounced dose discontinuities in the regions close to the lateral cavity edges are observed. The shape and magnitude of these discontinuities change with the dimension of the cavity. It is also found that the cavity effect is more pronounced (6%) for the 12 MeV electron beam and the presence of cavities with large thickness and small area introduces more significant variations (up to 70%) on the depthedose curves. Overall, the Gafchromic EBT2 film measurements were found in agreement within 3% with Monte Carlo calculations and predict well the fine details of the dosimetric change near the cavity interface. The Pencil Beam calculations underestimate the dose up to 40% compared to Monte Carlo simulations; in particular for the largest cavity thickness (2.8 cm).
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Introduction: Paper and thin layer chromatography methods are frequently used in Classic Nuclear Medicine for the determination of radiochemical purity (RCP) on radiopharmaceutical preparations. An aliquot of the radiopharmaceutical to be tested is spotted at the origin of a chromatographic strip (stationary phase), which in turn is placed in a chromatographic chamber in order to separate and quantify radiochemical species present in the radiopharmaceutical preparation. There are several methods for the RCP measurement, based on the use of equipment as dose calibrators, well scintillation counters, radiochromatografic scanners and gamma cameras. The purpose of this study was to compare these quantification methods for the determination of RCP. Material and Methods: 99mTc-Tetrofosmin and 99mTc-HDP are the radiopharmaceuticals chosen to serve as the basis for this study. For the determination of RCP of 99mTc-Tetrofosmin we used ITLC-SG (2.5 x 10 cm) and 2-butanone (99mTc-tetrofosmin Rf = 0.55, 99mTcO4- Rf = 1.0, other labeled impurities 99mTc-RH RF = 0.0). For the determination of RCP of 99mTc-HDP, Whatman 31ET and acetone was used (99mTc-HDP Rf = 0.0, 99mTcO4- Rf = 1.0, other labeled impurities RF = 0.0). After the development of the solvent front, the strips were allowed to dry and then imaged on the gamma camera (256x256 matrix; zoom 2; LEHR parallel-hole collimator; 5-minute image) and on the radiochromatogram scanner. Then, strips were cut in Rf 0.8 in the case of 99mTc-tetrofosmin and Rf 0.5 in the case of 99mTc-HDP. The resultant pieces were smashed in an assay tube (to minimize the effect of counting geometry) and counted in the dose calibrator and in the well scintillation counter (during 1 minute). The RCP was calculated using the formula: % 99mTc-Complex = [(99mTc-Complex) / (Total amount of 99mTc-labeled species)] x 100. Statistical analysis was done using the test of hypotheses for the difference between means in independent samples. Results:The gamma camera based method demonstrated higher operator-dependency (especially concerning the drawing of the ROIs) and the measures obtained using the dose calibrator are very sensitive to the amount of activity spotted in the chromatographic strip, so the use of a minimum of 3.7 MBq activity is essential to minimize quantification errors. Radiochromatographic scanner and well scintillation counter showed concordant results and demonstrated the higher level of precision. Conclusions: Radiochromatographic scanners and well scintillation counters based methods demonstrate to be the most accurate and less operator-dependant methods.
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Un problema al que se enfrentan los profesores de matemáticas de Enseñanza Primaria es la necesidad de hacer adaptaciones en sus programaciones para ofrecer una educación adecuada a sus alumnos de altas capacidades matemáticas. Las editoriales de libros de texto de matemáticas de estos niveles educativos ofrecen diversas soluciones que, usualmente, consisten en incluir, en el libro del alumno, algunos problemas más difíciles y, en la documentación del profesor, una propuesta de problemas de ampliación. Una cuestión que se plantea al analizar un libro de texto de matemáticas es valorar cómo de útil puede ser el material proporcionado por la editorial (libro de texto y materiales complementarios) para un profesor que necesita una programación específica para sus alumnos de altas capacidades matemáticas. En este artículo proponemos diversas variables con las que valorar el grado de adecuación a estudiantes de altas capacidades matemáticas de los documentos proporcionados a los profesores por las editoriales. Después ponemos en práctica esta propuesta analizando el tema dedicado a los cuadriláteros en 4º curso de Enseñanza Primaria de una editorial de amplia difusión en España. Las conclusiones globales son que los materiales del profesor analizados prestan poca atención a los estudiantes de altas capacidades matemáticas y que la metodología de análisis que hemos empleado permite identificar direcciones para plantear actividades interesantes para estos estudiantes.
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Mestrado em Engenharia Química. Ramo Tecnologias de Protecção Ambiental.
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In the hustle and bustle of daily life, how often do we stop to pay attention to the tiny details around us, some of them right beneath our feet? Such is the case of interesting decorative patterns that can be found in squares and sidewalks beautified by the traditional Portuguese pavement. Its most common colors are the black and the white of the basalt and the limestone used; the result is a large variety and richness in patterns. No doubt, it is worth devoting some of our time enjoying the lovely Portuguese pavement, a true worldwide attraction. The interesting patterns found on the Azorean handicrafts are as fascinating and substantial from the cultural point of view. Patterns existing in the sidewalks and crafts can be studied from the mathematical point of view, thus allowing a thorough and rigorous cataloguing of such heritage. The mathematical classification is based on the concept of symmetry, a unifying principle of geometry. Symmetry is a unique tool for helping us relate things that at first glance may appear to have no common ground at all. By interlacing different fields of endeavor, the mathematical approach to sidewalks and crafts is particularly interesting, and an excellent source of inspiration for the development of highly motivated recreational activities. This text is an invitation to visit the nine islands of the Azores and to identify a wide range of patterns, namely rosettes and friezes, by getting to know different arts and crafts and sidewalks.
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Trabalho Final de Mestrado elaborado no Laboratório Nacional de Engenharia Civil (LNEC) para a obtenção do grau de Mestre em Engenharia Civil pelo Instituto Superior de Engenharia de Lisboa no âmbito do protocolo de cooperação entre o ISEL e o LNEC
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Trabalho de Dissertação de natureza científica para obtenção do grau de Mestre em Engenharia Civil na Área de Especialização em Estruturas
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Trabalho Final de Mestrado para obtenção do grau de Mestre em Engenharia Química
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Trabalho de Projecto de natureza científica para obtenção do grau de Mestre em Engenharia Civil
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Trabalho Final de Mestrado para obtenção do grau de Mestre em Engenharia Mecânica
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A navegação de veículos autónomos em ambientes não estruturados continua a ser um problema em aberto. A complexidade do mundo real ainda é um desafio. A difícil caracterização do relevo irregular, dos objectos dinâmicos e pouco distintos(e a inexistência de referências de localização) tem sido alvo de estudo e do desenvolvimento de vários métodos que permitam de uma forma eficiente, e em tempo real, modelizar o espaço tridimensional. O trabalho realizado ao longo desta dissertação insere-se na estratégia do Laboratório de Sistemas Autónomos (LSA) na pesquisa e desenvolvimento de sistemas sensoriais que possibilitem o aumento da capacidade de percepção das plataformas robóticas. O desenvolvimento de um sistema de modelização tridimensional visa acrescentar aos projectos LINCE (Land INtelligent Cooperative Explorer) e TIGRE (Terrestrial Intelligent General proposed Robot Explorer) maior autonomia e capacidade de exploração e mapeamento. Apresentamos alguns sensores utilizados para a aquisição de modelos tridimensionais, bem como alguns dos métodos mais utilizados para o processo de mapeamento, e a sua aplicação em plataformas robóticas. Ao longo desta dissertação são apresentadas e validadas técnicas que permitem a obtenção de modelos tridimensionais. É abordado o problema de analisar a cor e geometria dos objectos, e da criação de modelos realistas que os representam. Desenvolvemos um sistema que nos permite a obtenção de dados volumétricos tridimensionais, a partir de múltiplas leituras de um Laser Range Finder bidimensional de médio alcance. Aos conjuntos de dados resultantes associamos numa nuvem de pontos coerente e referenciada. Foram desenvolvidas e implementadas técnicas de segmentação que permitem inspeccionar uma nuvem de pontos e classifica-la quanto às suas características geométricas, bem como ao tipo de estruturas que representem. São apresentadas algumas técnicas para a criação de Mapas de Elevação Digital, tendo sido desenvolvida um novo método que tira partido da segmentação efectuada
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Este estudo quantitativo tem como objetivo avaliar o desenvolvimento do conhecimento de geometria de mais de duas centenas de estudantes do ensino superior a frequentar o curso de Educação Básica em três ESE. Através de um teste com 21 questões, passado antes e após a formação em Geometria, avaliaram-se os estudantes num conjunto de categorias. Os resultados revelam que, embora os estudantes manifestem conhecimentos de conceitos elementares à partida, com percentagens em torno dos 70%, e evolução nas três escolas, com aumentos médios de 5%, revelam, ainda, aspetos críticos relativos a conceitos básicos contemplados no teste.
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When a mixture is confined, one of the phases can condense out. This condensate, which is otherwise metastable in the bulk, is stabilized by the presence of surfaces. In a sphere-plane geometry, routinely used in atomic force microscope and surface force apparatus, it, can form a bridge connecting the surfaces. The pressure drop in the bridge gives rise to additional long-range attractive forces between them. By minimizing the free energy of a binary mixture we obtain the force-distance curves as well as the structural phase diagram of the configuration with the bridge. Numerical results predict a discontinuous transition between the states with and without the bridge and linear force-distance curves with hysteresis. We also show that similar phenomenon can be observed in a number of different systems, e.g., liquid crystals and polymer mixtures. (C). 2004 American Institute of Physics.
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Using fluid mechanics, we reinterpret the mantle images obtained from global and regional tomography together with geochemical, geological and paleomagnetic observations, and attempt to unravel the pattern of convection in the Indo-Atlantic "box" and its temporal evolution over the last 260 Myr. The << box >> presently contains a) a broad slow seismic anomaly at the CMB which has a shape similar to Pangea 250 Myr ago, and which divides into several branches higher in the lower mantle, b) a "superswell, centered on the western edge of South Africa, c) at least 6 "primary hotspots" with long tracks related to traps, and d) numerous smaller hotspots. In the last 260 Myr, this mantle box has undergone 10 trap events, 7 of them related to continental breakup. Several of these past events are spatially correlated with present-day seismic anomalies and/or upwellings. Laboratory experiments show that superswells, long-lived hotspot tracks and traps may represent three evolutionary stages of the same phenomenon, i.e. episodic destabilization of a hot, chemically heterogeneous thermal boundary layer, close to the bottom of the mantle. When scaled to the Earth's mantle, its recurrence time is on the order of 100-200 Myr. At any given time, the Indo-Atlantic box should contain 3 to 9 of these instabilities at different stages of their development, in agreement with observations. The return flow of the downwelling slabs, although confined to two main << boxes >> (Indo-Atlantic and Pacific) by subduction zone geometry, may therefore not be passive, but rather take the form of active thermochemical instabilities. (c) 2005 Elsevier B.V. All rights reserved.
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We consider a fiber made of a soft elastic material, encased in a stiff elastic shell (core-shell geometry). If the core and shell dimensions are mismatched, e.g., because the core shrinks while the shell does not, but the two remain attached, then an elastic instability is triggered whereby wrinkles may appear on the shell. The wrinkle orientation may be longitudinal (along the fiber axis), polar (along the fiber perimeter), or a mixture of both, depending on the fiber's geometrical and material parameters. Here we investigate under what conditions longitudinal or polar wrinkling will occur.