57 resultados para the fundamental supermode


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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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

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Different mathematical methods have been applied to obtain the analytic result for the massless triangle Feynman diagram yielding a sum of four linearly independent (LI) hypergeometric functions of two variables F-4. This result is not physically acceptable when it is embedded in higher loops, because all four hypergeometric functions in the triangle result have the same region of convergence and further integration means going outside those regions of convergence. We could go outside those regions by using the well-known analytic continuation formulas obeyed by the F-4, but there are at least two ways we can do this. Which is the correct one? Whichever continuation one uses, it reduces a number of F-4 from four to three. This reduction in the number of hypergeometric functions can be understood by taking into account the fundamental physical constraint imposed by the conservation of momenta flowing along the three legs of the diagram. With this, the number of overall LI functions that enter the most general solution must reduce accordingly. It remains to determine which set of three LI solutions needs to be taken. To determine the exact structure and content of the analytic solution for the three-point function that can be embedded in higher loops, we use the analogy that exists between Feynman diagrams and electric circuit networks, in which the electric current flowing in the network plays the role of the momentum flowing in the lines of a Feynman diagram. This analogy is employed to define exactly which three out of the four hypergeometric functions are relevant to the analytic solution for the Feynman diagram. The analogy is built based on the equivalence between electric resistance circuit networks of types Y and Delta in which flows a conserved current. The equivalence is established via the theorem of minimum energy dissipation within circuits having these structures.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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In the seed production system, genetic purity is one of the fundamental requirements for its commercialization. The present work had the goal of determined the sample size for genetic purity evaluation, in order to protect the seed consumer and the producer and to evaluate the sensitivity of microsatellite technique for discriminating hybrids from their respective relatives and for detecting mixtures when they are present in small amounts in the samples. For the sequential sampling, hybrid seeds were marked and mixed in with the seed lots, simulating the following levels of contamination: 0.25, 0.5, 1.0, 2.0, 4.0, and 6.0%. After this, groups of 40 seeds were taken in sequence, up to a maximum of 400 seeds, with the objective of determining the quantity of seeds necessary to detect the percentage of mixture mentioned above. The sensitivity of microsatellite technique was evaluated by mixing different proportions of DNA from the hybrids with their respective seed lines. For the level of mixture was higher than 1:8 (1P1:8P2; 8P1:1P2), the sensitivity of the marker in detecting different proportions of the mixture varied according to the primer used. In terms of the sequential sampling, it was verified that in order to detect mixture levels higher than 1% within the seed lot- with a risk level for both the producer and the consumer of 0.05- the size of the necessary sample was smaller than the size needed for the fixed sample size. This also made it possible to reduce costs, making it possible to use microsatellites to certify the genetic purity of corn seeds lots.

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The topic in this work involving the resolution of problems with structure multiplicativa emerged from discussions carried out on the difficulties encountered by students of the first cycle of the Fundamental School in Mathematics, mainly in respect of the arithmetic. The research had as objective to investigate the main difficulties presented by these students when they are faced with a task for a resolution of problems with multiplicativa structure. Were participants, in the first stage of the study, 20 students of the fifth year of the Fundamental School of a state school of public education of the State of Sao Paulo. These students have an assessment containing ten problems with structure multiplicativa answered a questionnaire regarding of mathematics. In the second stage, were selected two students to participate in the think aloud. The data analysis showed that the difficulties presented by the participants were: 1- difficulty to read and interpret the set of problems; 2- select the operation correct; 3- to operate correctly; 4 – Trouble writing

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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Pós-graduação em Direito - FCHS

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This paper presents some outcomes of a broader research on Astronomy Education in primary school teacher's education. From the analysis of the main astronomy subjects thought nationwide and the research outcomes, we identified a set of astronomy contents considered fundamental to the teachers practice. Through a research carried out among a sample of primary school teachers, however, we show that, even in these essential contents, persists alternative conceptions among those teachers. Data collected pointed out, thus, to the necessity of improving teacher's education in this area, taking into consideration astronomy edu cation research outcomes, in favor of a teaching which contemplates, at least, the fundamental contents on this subject.