6 resultados para First integrals

em Instituto Politécnico do Porto, Portugal


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This paper aims at putting into perspective the recent, post 9/11 debate on the United States‘ alleged exceptionalism and its impact on the definition of American foreign policy. It reminds the readers that the United States was born as a result of a similar debate, at a time when a crucial choice for its future was to be made. Indeed, the Founding Fathers discarded the revolutionary idea that America was altogether different from other (European) nations and, as such, could succeed in saving republicanism and concentrate on domestic affairs. As Gordon Wood and Harvey Mansfield have shown, the 1787 version of republicanism stood as a departure from its earlier version, and such a change was necessary to the creation of a full-fledged federation, therefore paving the way to the current powerful Federal Republic. The early failure of the exceptionalist creed did not cause its disappearance, as the contemporary form of exceptionalism demonstrates, but created conditions that made an enduring and powerful influence very difficult.

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This paper explores the calculation of fractional integrals by means of the time delay operator. The study starts by reviewing the memory properties of fractional operators and their relationship with time delay. Based on the time response of the Mittag-Leffler function an approximation of fractional integrals consisting of time delayed samples is proposed. The tuning of the approximation is optimized by means of a genetic algorithm. The results demonstrate the feasibility of the new perspective and the limits of their application.

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O projeto realizado teve como tema a aplicação das derivadas e integrais fraccionários para a implementação de filtros digitais numa perspetiva de processamento digital de sinais. Numa primeira fase do trabalho, é efetuado uma abordagem teórica sobre os filtros digitais e o cálculo fraccionário. Estes conceitos teóricos são utilizados posteriormente para o desenvolvimento do presente projeto. Numa segunda fase, é desenvolvida uma interface gráfica em ambiente MatLab, utilizando a ferramenta GUIDE. Esta interface gráfica tem como objetivo a implementação de filtros digitais fraccionários. Na terceira fase deste projeto são implementados os filtros desenvolvidos experimentalmente através do ADSP-2181, onde será possível analisar e comparar os resultados experimentais com os resultados obtidos por simulação no MatLab. Como quarta e última fase deste projeto é efetuado uma reflexão sobre todo o desenvolvimento da Tese e o que esta me proporcionou. Com este relatório pretendo apresentar todo o esforço aplicado na realização deste trabalho, bem como alguns dos conhecimentos adquiridos ao longo do curso.

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Software tools in education became popular since the widespread of personal computers. Engineering courses lead the way in this development and these tools became almost a standard. Engineering graduates are familiar with numerical analysis tools but also with simulators (e.g. electronic circuits), computer assisted design tools and others, depending on the degree. One of the main problems with these tools is when and how to start use them so that they can be beneficial to students and not mere substitutes for potentially difficult calculations or design. In this paper a software tool to be used by first year students in electronics/electricity courses is presented. The growing acknowledgement and acceptance of open source software lead to the choice of an open source software tool – Scilab, which is a numerical analysis tool – to develop a toolbox. The toolbox was developed to be used as standalone or integrated in an e-learning platform. The e-learning platform used was Moodle. The first approach was to assess the mathematical skills necessary to solve all the problems related to electronics and electricity courses. Analysing the existing circuit simulators software tools, it is clear that even though they are very helpful by showing the end result they are not so effective in the process of the students studying and self learning since they show results but not intermediate steps which are crucial in problems that involve derivatives or integrals. Also, they are not very effective in obtaining graphical results that could be used to elaborate reports and for an overall better comprehension of the results. The developed tool was based on the numerical analysis software Scilab and is a toolbox that gives their users the opportunity to obtain the end results of a circuit analysis but also the expressions obtained when derivative and integrals calculations, plot signals, obtain vector diagrams, etc. The toolbox runs entirely in the Moodle web platform and provides the same results as the standalone application. The students can use the toolbox through the web platform (in computers where they don't have installation privileges) or in their personal computers by installing both the Scilab software and the toolbox. This approach was designed for first year students from all engineering degrees that have electronics/electricity courses in their curricula.

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Background: Although changes in eating patterns may occur during gestation, predictors of these changes have not been explored. This study aimed to identify predictors of adherence to the Mediterranean diet (MD) from the first to second trimester of pregnancy. Methods: A prospective study was conducted with 102 pregnant women aged 18-40, from the city of Porto, Portugal. Socio-demographic and lifestyle characteristics were assessed through a questionnaire. Food consumption was assessed with a three-day food diary completed during the first and second trimesters. Participants were categorized according to their change in adherence to the MD into the negative change group (i.e., women who had low adherence in each trimester or had high adherence in the first trimester and then low adherence in the second) and the positive change group (i.e., women who had high adherence in both trimesters or had low adherence in the first trimester and then high adherence in the second). Conditional stepwise logistic regression models were performed to assess the potential predictors of negative MD change. Results: Among the 102 women, 39.2% had negative change from the first to the second trimester. The logistic model´s results show that being married (OR=0.26, 95%CI: 0.10, 0.76) and having a higher intake of vegetables in the first trimester (OR=0.17, 95%CI: 0.10, 0.43) were associated with lower odds of having a negative change in adherence to the MD from the first to second trimester. Conclusion: Marital status and vegetable consumption seem to be associated with a lower occurrence of negative change in adherence to the MD from early to middle pregnancy.