957 resultados para Calculus.


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Pós-graduação em Medicina Veterinária - FMVZ

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In this paper we present an alternative approach due to Bondi for the special theory of relativity. During the development, we analyse the Bondi diagrams, visual resources from which we can take some information about the analysed systems, and we discuss the K factor of Bondi's theory, which is in the core of this work. We then discuss some of the main results obtained from Einstein's special theory of relativity such as the time dilation, spatial contraction and simultaneity of spatially separated events, besides the Lorentz transformations. We also show other two important results in physics coming from K calculus: the relativistic linear momentum and the total relativistic energy.

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Pós-graduação em Biometria - IBB

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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This study presents the results from a qualitative resource, based on research-action methodology, which examined the innovate teaching practices implementations in the Calculus I during 2011 year. The analysis of collected data from three used sources – an initial questionnaire, an exploratory-investigative classroom, and an interview with some students at the end of the second semester – reveals that the students had appropriated of the technological recourses, using it as a tool to look for the knowledge. The investigative activities with the use of information technologies made the use of multiple representations in solving mathematical tasks, making the transition of numerical, algebraic and geometrical results possible for the students when they have looking for validation of their hypotheses and conjectures during mathematical problems solving. This works helped in the insertion of new practices in the discipline, and their results validate the proposal presented by the teacher, which is the discipline of Calculus use, whose character is strongly linked to the training content of the student, as a discipline whose can contributed to the pedagogical formation of the graduation student, leading him to know the Mathematical Education possibilities, specially the Mathematical Investigation - Solving Problems, in the outlook of dialogued classes where the teacher assumes the facilitator role and where the students become actives in their pursuit of knowledge

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This work presents a study of the absorption refrigeration system and the modeling and evaluation of two cycles using the binary solutions water-lithium bromide and ammonia-water for an equipment to be used in small size plants like residences. The study and evaluation aims the complete understanding of all parts of the system and the influence of each one of them as well as the spread of the knowledge to raise the use of this type of equipment in all sizes in order to decrease the energetic consumption of plants of all scales and making viable the alternative sources. The study is done in each element of the cycle separately and in some auxiliary equipments required in the operation such as the main power source, the solar collector. The software used for modeling, with emphasis on thermal part, was the EES (Engineering Equation Solver), that permitted the thermal balance calculus and acquisition of the used fluids properties. The results obtained for the equipment shows the system is more complex than the widely used in business, however, it can be viable and represents an alternative to increase the energetic efficiency

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The electronic, structural properties and elastic constants of the wurtzite phase of zinc oxide, ZnO, was investigated using computer simulation at Density Functional Theory level, with B3LYP hybrid functional and Hartree-Fock methodology. The electronic properties as well the band energy was investigated through the analysis of the band structures and density of states (DOS), and the mechanical properties was studied through the calculus of the elastic constants C11, C33, C44, C12 e C13. The results are in good agreement with experimental data found in the literature and in accordance with results obtained by another theoretical methodology

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The Therapy with proton beam has shown more e ective than Radiotherapy for oncology treatment. However, to its planning use photon beam Computing Tomography that not considers the fundamentals di erences the interaction with the matter between X-rays and Protons. Nowadays, there is a great e ort to develop Tomography with proton beam. In this way it is necessary to know the most likely trajectory of proton beam to image reconstruction. In this work was realized calculus of the most likely trajectory of proton beam in homogeneous target compound with water that was considered the inelastic nuclear interaction. Other calculus was the analytical calculation of lateral de ection of proton beam. In the calculation were utilized programs that use Monte Carlo Method: SRIM 2006 (Stopping and Range of Ions in Matter ), MCNPX (Monte Carlo N-Particle eXtended) v2.50. And to analytical calculation was employed the software Wolfram Mathematica v7.0. We obtained how di erent nuclear reaction models modify the trajectory of proton beam and the comparative between analytical and Monte Carlo method

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In this work, studies aimed at evaluating the unification of concepts and theorems of vector analysis that contributed to the understanding of physical problems in a more comprehensive and more concise than using vector calculus. We study the electrodinamics with differential forms. Were also presented Maxwell's relations with formalism of differential forms in addition allowing formulation one more geometric and generalized. Another feature observed during the study of formalism presented was the possibility of it serving as a substitute to the tensor formalism

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The Inflation Targeting Regime was adopted in Brazil in 1999 and it aims at maintaining the price level in the interval set by the government. For such reason, the Central Bank makes use of variations in the interest rate, which causes the cost of the credit to be more expensive, reducing the investments, the jobs and, concomitantly, the inflation. Being aware that the country is subject to sudden reversals of the international capital flows which results in exchange rate and price instability, an econometric analysis of the adequation of the targerting regime to the Brazilian economy, especially concerned with the index price that is used as the parameter for the inflation calculus, is proposed

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This work aims to study several diffusive regimes, especially Brownian motion. We deal with problems involving anomalous diffusion using the method of fractional derivatives and fractional integrals. We introduce concepts of fractional calculus and apply it to the generalized Langevin equation. Through the fractional Laplace transform we calculate the values of diffusion coefficients for two super diffusive cases, verifying the validity of the method

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This work aims to determine the first natural frequency of rotation shaft by using a basic software, Excel, and to compare it to the values obtained in laboratory. When an axle is submitted to a rotation, depending on the rotational frequency used, the axle can enter a state of resonance, in which the amplitude of vibration becomes rather high. The frequencies in which the resonance is observed depends on several parameters of the axle, including the number of concentrated masses associated to the axle. Thus, to obtain a computer program of easy use and access, which can preview the frequency of resonance of an axle in rotation with ‘n’ numbers of concentrated masses it has been studied how the frequency varies with each of these parameters. The computer program and the analyses have been made using the Rayleigh Method, which allowed the transformation of a continuous system to discrete through the theory of finite elements, which has proved that, the bigger the number of divisions of the shaft taken into consideration in the calculus of the natural frequency, the more this value gets close to the real value. The results obtained have been considered satisfactory once these have gotten close to the theoretical results expected

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The goal of this work is to perform a historical approach of important results about maxima and minima, on Euclidean geometry, involving perimeters, areas and volumes. As a highlight, we can mention the Dido’s isoperimetric problem and the Papus’s problem about the wit of the bees. In this context, with a concern didactic, we tried to use, whenever possible, the geometry classical formulas to the calculus of areas. On the other hand, in the case of isoperimetric inequality the techniques of differential and integral calculus became more suitable for our purposes.

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Some problems of Calculus of Variations do not have solutions in the class of classic continuous and smooth arcs. This suggests the need of a relaxation or extension of the problem ensuring the existence of a solution in some enlarged class of arcs. This work aims at the development of an extension for a more general optimal control problem with nonlinear control dynamics in which the control function takes values in some closed, but not necessarily bounded, set. To achieve this goal, we exploit the approach of R.V. Gamkrelidze based on the generalized controls, but related to discontinuous arcs. This leads to the notion of generalized impulsive control. The proposed extension links various approaches on the issue of extension found in the literature.

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Pós-graduação em Bases Gerais da Cirurgia - FMB