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Representação de soluções homogêneas contínuas de campos vetoriais no plano
(Universidade Federal de São Carlos, 2015-06-11) Menis, Alexandra Cristina; Hounie, Jorge Guillermo; https://lattes.cnpq.br/7302904386484949; https://lattes.cnpq.br/3928582698221236
In this work we study conditions for the validity of the analogue of Mergelyan’s theorem for continuous solutions of a type of locally integrable vector field. On a domain in the plane, we consider a vector field L that has a first integral on of the form Z(x, t) = x + i'(x, t), where '(x, t) is a smooth, realvalued function. Given a continuous solution u of Lu = 0 on , our first objective was to find conditions on and Z for the validity of the factorization u = U Z, where U 2 C0(Z ()) \ H(int{Z ()}). We will next study this factorization on the closure of . We assume that u 2 C0( ) and that the boundary of is real analytic, then we show in which cases the condition Z(p1) = Z(p2) implies that u(p1) = u(p2), for p1, p2 2 . The cases are divided according to the geometry of the boundary in the points p1 and p2. When is a compact set and u = U Z on , we obtain that u is uniformly approximated by polynomials of Z on .
Envelhecimento e gestão pública : o “estado da arte” na produção científica brasileira
(Universidade Federal de São Carlos, 2015-06-11) Padula, Giovana de Oliveira; Pedro, Wilson José Alves; https://lattes.cnpq.br/8135701448186851; https://lattes.cnpq.br/5404257329698570
Nowadays the aging phenomenon has been studied by many researchers because of the characteristics and relevance of the demographic transition and the impact on public policy. Because of this phenomenon, it is considered extremely relevant to the broad scientific production developed view, and in this study we chose to focus on what has been produced in federal universities. This study aims to analyze the Brazilian scientific literature on the topic aging and administration / public management, from scientific publications (qualis A1 and A2 of interdisciplinary and administration areas) and on the registered research groups in groups Directory Research CNPq Brazil (biological areas, health, human and applied sciences). It is a social and exploratory and descriptive study of document analysis and public information. The results suggest that the thematic management / public administration and aging are not being developed directly as both magazines surveyed in the research groups of federal universities. It was decided, therefore, to present a characterization of what both study objects present on the topic aging. Accordingly, it was found that the aging subject is being exploited in different areas of knowledge in an interdisciplinary approach. It was observed that most groups (n = 180) are concentrated in the area of health sciences, with predominant area of medicine (n = 39). As for scientific journals, it was observed that interdisciplinary journals with qualis A2 has a higher number of publications on human aging (n = 262). In this study, further reflection on population aging in the context of public administration studies have concluded that it is necessary, and also points to the need for more studies on aging and public administration.
Uma abordagem sobre a relação entre funções e áreas para o ensino fundamental
(Universidade Federal de São Carlos, 2015-06-11) Deangelis, Fernanda Maria Gomes; Barbosa, Grazielle Feliciani; https://lattes.cnpq.br/5368292206467565; https://lattes.cnpq.br/1401159743620548
This work presents a didactic proposal for the classes of affine and quadratic functions in elementary school. From our experiences in the teaching profession, we noted that the study of this content requires experimentation and contextualized activities. The study of affine and quadratic functions in basic education is of great importance for abstraction capacity development, solving practical problems and helps to get skills of comparing results, recognizing the characteristics of these functions. Our work is not intended to define affine and quadratic function, but to develop the perception ability of the results that leads to graphs and charts building and can be confirmed using the GeoGebra software. This activity was implemented in two classes of the ninth year of elementary school at Colégio Batista Brasileiro in Bauru. To do this we need four classes of 100 minutes and 1 class of 50 minutes. This is a didactic sequence that requires the use of computers and of the GeoGebra software