936 resultados para 010501 Algebraic Structures in Mathematical Physics


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Includes bibliography

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Pós-graduação em Matemática Universitária - IGCE

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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The 4340 are classified as ultra-high strength steels used by the aviation industry and aerospace applications such as aircraft landing gear and several structural applications, usually in quenched and tempered condition. In this situation occurs reduction of toughness, which encourages the study of multiphasic and bainitic structures, in order to maintain strength without loss of toughness. In this study, ferritic-pearlitic structure was compared to bainitic and martensitic structure, identified by the reagents Nital, LePera and Sodium Metabisulfite. Sliding wear tests of the type pin-on-disk were realized and the results related to the microstructure of these materials and also to their hardnesses. It is noted that these different microstructures had very similar behavior, concluding that all three tested pairs can be used according to the request level.

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The second-order differential equations that describe the polyphase transmission line are difficult to solve due to the mutual coupling among them and the fact that the parameters are distributed along their length. A method for the analysis of polyphase systems is the technique that decouples their phases. Thus, a system that has n phases coupled can be represented by n decoupled single-phase systems which are mathematically identical to the original system. Once obtained the n-phase circuit, it's possible to calculate the voltages and currents at any point on the line using computational methods. The Universal Line Model (ULM) transforms the differential equations in the time domain to algebraic equations in the frequency domain, solve them and obtain the solution in the frequency domain using the inverse Laplace transform. This work will analyze the method of modal decomposition in a three-phase transmission line for the evaluation of voltages and currents of the line during the energizing process.

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One of the principal themes of genetic epistemology is the study of the psycho-genetic and historical-critical constitution of knowledge and its necessary structures. A main topic in this area is the relationship between abstract logical-mathematical structures and the epistemological-psychological structures of the epistemic subject. In genetic epistemology, formalizing and axiomatizing epistemological-psychological structures constitute one of the principal methods for showing the correlation between the two types of structures: the formalization of the epistemological-psychological structureresults in an axiomatic formal system which also expresses the abstractlogical-mathematical structure. In this context, it is interesting to note that some epistemological-psychological structures have been resistant to formalization and axiomatization, as in the case of the structure of concrete operational period groupings. Cases like these lead us to ask if there are general methods of formalizing that are consistent with the results and the general basis of genetic epistemology and genetic psychology, especially with regard to the claim that formalizing is a process, not a state, and that such general methods must therefore conform with the possibility of the continuous constitution of epistemological-psychological structures. In this paper we present some reflections, based on the general concepts of genetic epistemology and psychology and on the logical-mathematical structures of digraphs, on proposing a general method of formalization consistent with the results and the general basis of these two areas, including the possibility of the continuous constitution of epistemological-psychological structures.

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The main idea of this work is to understand and analyze the dynamical aspects of the motion of a particle moving in the annular billiard, which corresponds to two circles of radius R and r (rintroducing breathing boundaries that transfer momentum to the particle. Likewise, the collisions with the circles are studied in the conservative (elastic) and dissipative (non-elastic) cases. When we introduce magnetic and electric fields, the particle is submitted to the Lorentz force. It also can suffer successive collisions with the breathing circles, winning or losing energy. For the elastic time-dependent case, we have already observed that a particle can gain unlimited energy. The purpose of this work is to study the effects of both external fields in the mean energy of the system, for the time-dependent case with and without dissipation. Our initial results conduct us to believe that electrical field can contribute to the increasing of mean energy, and a magnetic field applied to the vertical axis of coordinate (what guarantees the particle do not travel away the billiard’s plane) uses to arrest the particle to the whispering gallery orbits and do not contribute to the Fermi acceleration indeed. However, in presence of the electric field, to same values, the magnetic one together can improve this referred process, obtaining greater energy values to the same number of iterations. These results are applied to the concentric case, that was reported did not haven any significant energy gain on the free particle motion