Funções trigonométricas

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Espécies metalo-supramoleculares discretas polinucleares: sínteses e caracterização

Pós-graduação em Química - IQ

O número de ouro no ensino da matemática na educação básica

Pós-graduação em Matemática em Rede Nacional - IBILCE

Alternative transfer to the Earth-Moon Lagrangian points L4 and L5 using lunar gravity assist

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

Population Structure and Pathotype Diversity of the Wheat Blast Pathogen Magnaporthe oryzae 25 Years After Its Emergence in Brazil

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Impact of Quantity of Resin, C-factor, and Geometry on Resin Composite Polymerization Shrinkage Stress in Class V Restorations

Objective: This study evaluated the effect of quantity of resin composite, C-factor, and geometry in Class V restorations on shrinkage stress after bulk fill insertion of resin using two-dimensional finite element analysis.Methods: An image of a buccolingual longitudinal plane in the middle of an upper first premolar and supporting tissues was used for modeling 10 groups: cylindrical cavity, erosion, and abfraction lesions with the same C-factor (1.57), a second cylindrical cavity and abfraction lesion with the same quantity of resin (QR) as the erosion lesion, and then all repeated with a bevel on the occlusal cavosurface angle. The 10 groups were imported into Ansys 13.0 for two-dimensional finite element analysis. The mesh was built with 30,000 triangle and square elements of 0.1 mm in length for all the models. All materials were considered isotropic, homogeneous, elastic, and linear, and the resin composite shrinkage was simulated by thermal analogy. The maximum principal (MPS) and von Mises stresses (VMS) were analyzed for comparing the behavior of the groups.Results: Different values of angles for the cavosurface margin in enamel and dentin were obtained for all groups and the higher the angle, the lower the stress concentration. When the groups with the same C-factor and QR were compared, the erosion shape cavity showed the highest MPS and VMS values, and abfraction shape, the lowest. A cavosurface bevel decreased the stress values on the occlusal margin. The geometry factor overcame the effects of C-factor and QR in some situations.Conclusion: Within the limitations of the current methodology, it is possible to conclude that the combination of all variables studied influences the stress, but the geometry is the most important factor to be considered by the operator.

Correspondence between the one-loop three-point vertex and the Y and Delta electric resistor networks

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.

Teorema de Pitágoras: algumas extensões/generalizações e atividades com o Software GeoGebra

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Rigidez dos triângulos

Pós-graduação em Matemática em Rede Nacional - IBILCE

Os lemas de Sperner no ensino médio e uma modesta introdução à topologia

Pós-graduação em Matemática em Rede Nacional - IBILCE

Estudio del espesor de la mucosa del trígono retromolar con el objetivo de facilitar la planificación de mini implantes en la región

The retromolar triangle is a triangular area located in the mandible, posteriorly to the last molar. This region, due its thickness and bone density, is widely used for the installation of devices that provide an anchorage system for the movement of the lower molars. The aim of this research is to provide morphometric data of the mucosa thickness of the retromolar triangle. Twenty-five patients of portuguese nationality, with indication for extraction of the impacted lower third molar (right and/or left), were studied. In the region of the retromolar triangle were demarcated 3 points corresponding to the vertices of a triangle whose the base was torned for the distal face of the lower third molar and the lenght of the sides corresponded to vestibulolingual dimension of the same tooth, then was demarcated a fourth point corresponding to the geometric center of the triangle. Then, using a finger spreader with silicone stop were measured the mucosal tickness at each point. The data obtained were tabulated and analyzed. The lowest average value found was 5.5mm on the right side and the highest average value found was 7.13mm on the left side. Considering the mean values obtained at the points of the retromolar triangle mucosa measured in this study, we conclude that the retromolar triangle shows thick mucosa, so the mini-implants indicated for this region should have a long transmucosal neck.

As maras e pandillas no Triângulo Norte da América Central e a atuação dos Estados Unidos em seu combate

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Geoquímica de perfis lateríticos na chapada sedimentar do Triângulo Mineiro

The ferruginous sandstone (Serra da Galga member) from Marilia formation present in sedimentary mining triangle plateaus - MG (southeast Brazil) is still not properly characterized, as well as the presence of a rich layer Fe nodules which is not properly understood, as are the alteration products of this material that may be linked to the presence of refractory clays which are characterized by intimate relationship between Fe and Al. Aluminum is widely present on top of these plateaus. This course conclusion paper characterized the mineralogy and distribution of smaller elements both rust sandstone evolved as soil above this sandstone. The characterization has been done by using X-ray fluorescence techniques (XRF), the iron was removed by using the CBD method (dithionito-citratebicarbonate), and X-ray diffraction (XRD) and analysis of the products extracted by the CBD method by ICP- OES were made to characterize the material. The results of the XRF show great variation of Al and Si, Fe with almost constant behavior in the average depth of 110 cm, where it has the highest concentration levels. Fe appear associated with the V and Ce. CDB results show a clear relation of Fe with Al. Al does not have in this case compared with Cr or any other item. The concentration of extracted Al was always below the concentration of Fe. In the region, the formation of this Latosols- Gleysols system is subject to topography and its influence on local water regime, a regime that has direct influence on the formation of supergene accumulations as in the area and results in aluminum accumulation in refractory clays exploited by IBAR mining

Teorema de Pitágoras: aplicações em objetos de aprendizagem

Pós-graduação em Matemática em Rede Nacional - IBILCE

Equações de diferenças: aplicações no ensino médio

Pós-graduação em Matemática em Rede Nacional - IBILCE