IME - Instituto de Matemática e Estatística
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O IME - Instituto de Matemática e Estatística, da Universidade Federal de Goiás, oferece Graduação em: Matemática; e, Estatística; Além de Especialização (Lato Sensu) em: Matemática; e, Educação Matemática.
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Item Adaptações no software GeoGebra para alunos com baixa visão(2015-12) Papacosta, Arthur Rodrigues; Civardi, Jaqueline Araújo; Dias, Maria Eurípedes de SouzaItem An optimal design of 3R manipulators taking into account regular workspace boundary(2004) Bergamaschi, Paulo Roberto; Saramago, Sezimária de Fátima Pereira; Nogueira, Antônio CarlosItem Análise da sobrevida de mulheres diagnosticadas com câncer de mama triplo negativo utilizando modelo de longa duração(Universidade Federal de Goiás, 2021-09-01) Milani, Eder Angelo; Calsavara, Vinicius Fernando; Rodrigues, Juliana Scudilio; Tomazella, Carolina D.; Bonini, Carolina R.; Antunes, Caroline C.; Santos, Danielly G. dos; Zanotti, Mariana A.; Tomazella, Vera Lucia DamascenoBreast cancer is one of the main causes of death for women worldwide, in Brazil the reality is no different. In this context, the work aims to estimate the proportion of women who susvive for a long-term after being diagnosed with breast cancer, using a cure fraction model. The proposed methodology was applied to a data set of a study carried out at A. C. Cmargo Cancer center, São Paulo, Brazil, from 2001 to 2013 with women diagnosed with triple negative breast cancer, who underwent neoadjutment to the data, which allowed us to observe that women who had an e arly diagnosis have a greater probability of surviving for a long period of time, thus indicating the need to expand the screening and early diagnosis of breast cancer.Item Aplicação da lógica fuzzy na análise do índice corporal de cavalos da raça mangalarga marchador(2010) Costa, Esdras Teixeira; Santos, Rodrigo Couto; Moreira, Fernando Ricardo; Cabacinha, Christian Dias; Koetz, MarcioThe corporal index is one of the most important indices in the morphometric analysis of Mangalarga Marchador horse, once it makes a relation between body length and thoracic girth, classifying animals according to scale of small, medium and large shape. The variables in the process are known and continuous, although the final classification shows blank spaces, which is against the nature of continuity of the referred variable. The terms used in this classification can be treated as input linguistic variables which generates an output variable in a rule-based fuzzy logic system. Therefore, The intention of this paper was present a system based on fuzzy logic to provide the body index (CI) of Mangalarga Marchador breed, in such way that the results were the same as in the traditional method, and which also could classify results outside range of the traditional method. Using this new method, we could show that fuzzy logic is an interesting tool to work with this kind of situation.Item Aplicação da lógica nebulosa na simulação de estro de vacas leiteiras(2009) Santos, Rodrigo Couto; Nãã, Irenilza de Alencar; Moreira, Fernando Ricardo; Gomes Filho, Raimundo RodriguesThe existing gap in the Brazilian dairy sector for both increase in productivity, and decrease in production costs has induced producers to search for new knowledge. In this way the relation between environmental factors and dairy cattle physiological responses are of extreme importance during the production process. If the climatic exposition may influence the dairy cows estrus cycle then any information that improve the correct estrus identification is of great value, as it means decrease in losses and increase in success in the process, and meaning significant economical gain. This research as the development of a model using fuzzy logic for estimating estrus presence. Information pertinent to totally confined Holstein dairy cattle was used such as age interval, weight and pre-defined milk production. Input variables used were the Temperature and Humidity Index (THI), period since last estrus (PSLE) and the number of estrus signals (NES). As output variable there was the estrus detection index (EDI). After this research it was concluded that it was possible the construction of a model based on fuzzy logic and using environmental data, besides the specialist information that helps detecting estrus.Item Aplicação das Cadeias de Markov no estudo do controle biológico da planta aquática Eichhornia azurea(2015) Silveira Júnior, Ademir Amaro da; Silveira, Graciele ParaguaiaThe aquatic plants play an important role in the dams, because help in the water filtration by removing some heavy metals, serving of fish food and shelter for some insects. However, some species are spreading and causing great inconvenience to the local population, hydroelectrics and other individuals who depend on the lakes for survival. The purpose of this work was to make an initial study of the biological control of the aquatic macrophyte Eichhornia azurea by inserting the insect predator Thrypticus sp., using mathematical modeling and Markov chains of order 1. For that, a brief historical of the aquatic plant and of the insect is presented, as well as concepts related to Markov chains and their applications in biomathematics are discussed, supporting the realization of the modeling of the problem. Actual data obtained from a survey conducted by the author between 2002 and 2003, in the city of Coxim-MS, were incorporated in the modeling process. Simulations were performed for different scenarios, assuming infestation by plant in interconnected dams and the results showed the amount of insects needed to control in each cycle. The use of mathematical modeling and Markov chains allows the implementation of several tests. Nevertheless, to achieve more accurate results in relation to biological control we intend, in future work, to use a predator-prey model and analyze in more detail the problem, add more hypotheses, and to discuss aspects related to the predator population in environment in question. The work is a result of the Professional Masters and was written with the intention that teachers and high school students are being able understand the resolutions of the examples presented.Item Aplicação de algoritmos genéticos para o projeto ótimo de manipuladores 3R considerado envoltórias regulares(2004) Gonzales, Fernando R.; Saramago, Sezimária de Fátima Pereira; Bergamaschi, Paulo RobertoItem Application of three bioinspired optimization methods for the design of a nonlinear mechanical system(2013) Borges, Romes Antonio; Lobato, Fran Sérgio; Steffen Júnior, ValderItem Aspectos da história da sociedade brasileira de matemática (1969-2011)(2012) Garcia, Ronaldo AlvesThis paper presents a historical overview of activities and projects undertaken by the Brazilian Mathematical Society in the period 1969-2011. We also point out some questions that can guide research on its history. The Brazilian Mathematical Society is headquartered in Rio de Janeiro and among its actions we can name: the encouragement of good quality education at all levels, production and dissemination of mathematical texts (books and periodicals), the promotion of scientific meetings and the encouragement of regular exchange between professionals of mathematics in Brazil and abroad.Item A atividade de ensino e o desenvolvimento do pensamento teórico em matemática(2010) Cedro, Wellington Lima; Moraes, Silvia Pereira Gonzaga de; Rosa, Josélia Euzébio daIn this paper we looked for reflecting on the mathematical theoretical thought development in students, taking into consideration a historical-cultural approach. With support on studies of Vigotski, Leontiev, Davídov and, more recently, Moura and Lanner de Moura, we discuss the relation between teaching, learning and the development of theoretical thought in Mathematics, having as basis the learning activity.Item Axiumbilic singular points on surfaces immersed in r4 and their generic bifurcations(2014) Garcia, Ronaldo Alves; Tello, Jorge Manuel Sotomayor; Spindola, Flausino Lucas NevesItem Circuncentros das órbitas triangulares de um bilhar elíptico(Universidade Federal de Goiás, 2018-12-20) Garcia, Ronaldo AlvesThe geometriclocus defined by the circumcenters associated to 3-periodicorbits of an elliptic billiard is an ellipse. In this work we obtain the explicit equation of this set and also ot is shown that this ellipse is similar tothe inner confocal ellipse of the poncelet pair. This work was inspired by the paper of O. Romaskevich, [11]Item Classes of hypersurfaces with vanishing Laplace invariants(2012) Riveros, Carlos Maber Carrión; Corro, Armando Mauro VasquezConsider a hypersurface M n in R n+1 with n distinct princi- pal curvatures, parametrized by lines of curvature with vanishing Laplace invariants. (1) If the lines of curvature are planar, then there are no such hyper- surfaces for n ≥ 4, and for n = 3, they are, up to Möbius transformations, Dupin hypersurfaces with constant Möbius curvature. (2) If the principal curvatures are given by a sum of functions of sepa- rated variables, there are no such hypersurfaces for n ≥ 4, and for n = 3, they are, up to Möbius transformations, Dupin hypersurfaces with con- stant Möbius curvature.Item Combustion fronts in a porous medium with two layers(2006) Mota, Jesus Carlos da; Schecter, StephenItem Comparação entre procedimentos utilizados para inventariar pequenos povoamentos florestais(2010) Miguel, Eder Pereira; Cabacinha, Christian Dia; Santos, Rodrigo Couto; Ferreira, Wendy Carniello; Moreira, Fernando RicardoThe quantification of solid volume in forest stands is essential for a proper management of forests and for commercial timber. However sampling methods traditionally used in forest inventories are costly and expensive and thus extremely important to use rapid and accurate methods, the method of the average tree and the tree stratified medium. Given that the objective was to compare three sampling methods for inventorying small forest planted, two based solely on measurements of diameter and the method traditionally used by forest companies, with the volume obtained by scaling. We used a completely randomized design, where each was considered a treatment method. At the end of the study showed that the methods of obtaining the volume studied showed no significant differences considering the level of significance = 0.05. However, the methods based only on measurements of diameters, in general showed a tendency to overestimate the volume. The results showed that all methods provided reliable estimates of volume per unit area can be used for forest inventories.Item As condições socioeconômicas e sua relação com o sucesso no vestibular: evidências a partir do processo seletivo da Universidade Federal de Goiás(Universidade Federal de Goiás, 2017-10-12) Lima, Alex Felipe Rodrigues; Piscoya Diaz, Mario Ernesto; Fonseca Júnior, Sergio BorgesThis study aims to identify the socioeconomic factors associated with the of success in the entrance exam in the state of Goiás. For this we used regression models for survival data and techniques of multivariate statistics. The results suggest that the effect of economic dimensions such as parental education, the school of origin and are not material well-being more relevant to the regression model when incorporated features such as marital status and employment status.Item Continuous dependence of solutions for indefinite semilinear elliptic problems(2013) Silva, Elves Alves de Barros e; Silva, Maxwell Lizete daWe consider the superlinear elliptic problem −∆u + m(x)u = a(x)u p in a bounded smooth domain under Neumann boundary conditions, where m ∈ L σ (Ω), σ ≥ N/2 and a ∈ C(Ω) is a sign changing function. Assuming that the associated first eigenvalue of the operator −∆ + m is zero, we use constrained minimization methods to study the existence of a positive solution when m b is a suitable perturbation of m.Item Darboux integrability and reversible quadratic vector fields(2005) Llibre, Jaume; Medrado, João Carlos da RochaIn this paper we improve the Darboux the- ory of integrability for reversible polynomial vector fields in n R , and we classify the phase portraits of all φ−reversible quadratic polynomial vector fields of R 2 such that theItem Desenvolvimento de operador matemático para algoritmos de otimização heurísticos aplicado a problema de geoprospecção(2014) Calixto, Wesley Pacheco; Pereira, Thiago Martins; Mota, Jesus Carlos da; Alves, Aylton José; Domingues, Elder Geraldo; Domingos, Jose Luis; Coimbra, António Paulo Mendes Breda Dias; Alvarenga, Bernardo Pinheiro de