Orientador: Maria Aparecida Diniz Ehrhardt / Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica / Made available in DSpace on 2018-08-26T10:57:23Z (GMT). No. of bitstreams: 1 Cristofoletti_MariaClaudia_M.pdf: 1415084 bytes, checksum: 188cc720bff00b79ca1249f2490caa57 (MD5) Previous issue date: 2015 / Resumo: Apresentamos, neste trabalho, uma pesquisa relacionada à Seção Áurea, que foi estudada pelos gregos antes do tempo de Euclides, mas que recebeu deste uma definição formal chamada de Razão Extrema e Média. Optamos por iniciar mostrando que essa razão, conhecida como Razão Áurea, possui uma história rica que se apresenta em diferentes contextos. Exibimos as propriedades algébricas do número ?, resultante dessa razão, abordamos o Método da Seção Áurea, que permite encontrar pontos extremos de funções de uma variável e mostramos a sua presença geométrica nos ladrilhos de Penrose. Entendemos que tais assuntos podem ser tratados em sala de aula de forma a despertar o interesse do aluno pela Matemática, logo, preparamos sugestões de atividades que explorem esses conceitos e utilizem estratégias diversificadas / Abstract: We present, in this work, a survey related to the Golden Section, which was studied by the greeks before the time of Euclid, but that received from him a formal definition called by Extreme and Mean Ratio. We begin by showing that this ratio, known as Golden Ratio, has a rich history that is presented in different contexts. We exhibited the algebraic properties of the number ?, resulting from this ratio, we approached the Method of Golden Section, which allows to find extreme points of functions of one variable and we show its geometric presence in Penrose tiles. We believe that such matters can be dealt with in the classroom in order to arise the interest of students in Mathematics, so, we prepare suggestions for activities to explore these concepts and use diverse strategies / Mestrado / Matemática em Rede Nacional / Mestra em Matemática em Rede Nacional

The method of taking into account assessed losses in calculating the taxable income of mining companies is of significant importance following the Armgold/Harmony Freegold case. In this case, the court had to determine the method of calculating a mining company’s taxable income where at least one of its mines incurred a loss and where nonmining income was also derived. What constitutes an assessed loss, and the order in which it should be applied in calculating a mining company’s taxable income, was central to this case. In this study, the different approaches adopted by the parties to the case in order to determine whether there is an assessed loss, and the order in which it should be utilised in calculating taxable income, was analysed and compared to an analysis of the provisions of the Income Tax Act. In terms of this comparison, the judgment was found to be in accordance with the current legislation in the Income Tax Act. There is, however, a lack of updated guidance on matters relating to mining tax as is evident from the different interpretations of the provisions of the Income Tax Act by the parties to the case. Further research is therefore recommended in order to provide updated guidance to mining companies. / Dissertation (MCom)--University of Pretoria, 2013. / am2014 / Taxation / unrestricted

A turbulence model was developed for computing surface velocity coefficients and discharge under steady, uniform flow conditions for rectangular and compound open-channel cross sections. Reynolds-Average Navier-Stokes (RANS) equations, Reynolds stress equations, and kinetic energy and dissipation equations were applied in the model using the finite-volume method with the SIMPLER algorithm. The models show graphical results of the velocity distributions in the longitudinal bed slope direction, secondary velocities, pressure, turbulence kinetic energy, and kinetic energy dissipation rate across the cross section. Also, the surface velocity coefficients were computed at increments of one-eighth of the base width from the vertical walls to the center of the cross section, and the submergence depth of the floating object from zero to 30 cm, with a 5-cm depth increment. Four different sets of Reynolds stress equations (one set by Boussinesq hypothesis and three sets of algebraic stress model) were used to calculate the results. Only one version of the algebraic stress model was successful in predicting the depression of the maximum streamwise velocity below the water surface. The model was calibrated and verified using laboratory data collected at Utah State University. Calculated discharges from the turbulence model had very good agreement with the laboratory data. The surface velocity coefficients from model results were generally lower than the results from the laboratory data, but higher than the values published by the United States Bureau of Reclamation. Standard cross sections of rectangular and compound cross sections were defined to simulate the model results and model sensitivity to parameter changes. The model results were summarized to show the relationship between surface velocity coefficient and channel characteristics compared with the published values by the USBR. For rectangular cross sections, the coefficients from the model are higher than the published USBR values. But the coefficients from the model and USBR are in very close agreement for the tested compound cross sections. The published coefficients by the USBR are a function of only average water depth. However, the model results show that the coefficients are also related to channel size, surface roughness height, float submergence depth, and lateral location of the float object. These factors should be included in the determination of the surface velocity coefficient to improve the discharge estimations from the application of the float method.

In this work the scattering of an incident plane wave propagating along a plane perpendicular to the xy-plane is studied. The wave is scattered from an infinitely long cylindrical object of arbitrary cross-section. Due to the arbitrary geometry of the obstacle, a finite differences numerical method is employed to approximate the solution of the scattering problems. The wave equation is expressed in terms of generalized curvilinear coordinates. Boundary conforming grids are generated using elliptic grid generators. Then, a explicit marching in time scheme is implemented over these grids. It is found that as time grows the numerical solution converges to a wave with harmonic time dependence. The amplitude of these waves is analyzed and graphed over generalized grids for different geometries. An important physical measure of the energy scattered, the differential scattering cross section, is also obtained. In particular, the method is applied to a circular cylindrical obstacle. For this case, the analytical solution can also be obtained by traditional spectral techniques. The method is validated by comparing this exact solution with the numerical approximation obtained from the application of it.

No description available.

No description available.

No description available.

No description available.

No description available.

Le Modèle Standard de la physique des particules décrit les particules elementaires et leurs interactions avec une grande précision. Il décrit trois des quatre interactions fondamentales connues entre les particules elementaires : les interactions faibles, fortes et électromagnétiques. Le Modèle standard fournit aussi une description précise des interactions électrofaibles jusqu’à des échelles d’énergie qui ont été étudies dans les expériences de physique de haute énergie. Les interactions ainsi que les désintégrations d'un grand nombre de particules découvert et observe tout au long des expériences différentes dans les 50 dernières années sont également décrites. En dépit de son succès, le Modèle Standard est loin d’être une théorie complète des interactions fondamentales car il n’intègre pas la théorie complète de la gravitation telle que décrite par la relativité générale, ni la prédiction de l’accélération de l'expansion de l'univers (qui pourrait être décrite par l’énergie noire). La théorie ne contient aucune particule de matière noire viable qui possède toutes les propriétés déduites de la cosmologie observationnelle. Également, elle ne prend pas en compte les oscillations de neutrinos (et leurs masses non nulles). On pense que la nouvelle physique doit exister conduisant a de nouvelles particules et phénomènes. L’échelle a laquelle cette nouvelle physique devrait apparaıtre n'est pas bien connue, cependant plusieurs arguments soulignent l’échelle du TeV et nécessitent une très haute énergie et des puissants collisionneurs de hadrons. Le Large Hadron Collider (LHC) est le plus grand accélérateur et collisionneur de particules existant. / The Standard Model of particle physics is very successful in describing elementary particles and their interactions with a great precision. It describes three of the four known fundamental interactions between elementary particles : the weak, the strong and the electromagnetic interactions. The Standard Model also provides an accurate description of the electroweak interactions up to energy scales that have been explored in high energy physics experiments. The interaction and decay of a large number of particles discovered and observed throughout different experiments in the last 50 years are also described. Despite its great success, the Standard Model falls short of being a complete theory of fundamental interactions because it does not incorporate the full theory of gravitation as described by general relativity, or predict the accelerating expansion of the universe (as possibly described by dark energy). The theory does not contain any viable dark matter particle that possesses all of the required properties deduced from observational cosmology. It also does not account for neutrino oscillations (and their non-zero masses). It is thought that new physics should exist leading to new particles and phenomena. The scale at which this new physics should appear is not well known, though several arguments point to the TeV scale and require a very high energy and powerful hadron collider. The Large Hadron Collider (LHC) is the biggest existing particle accelerator and collider. It is designed to provide proton-proton collisions with an unprecedented center-of-mass energy of 14 TeV, with instantaneous luminosities up to 10^{34} cm−2s−1.