INSTITUTO DE MATEMÁTICA E TECNOLOGIA

URI Permanente desta comunidade

https://repositorio.ufcat.edu.br/handle/tede/4

O Instituto de Matemática e Tecnologia é atualmente composto por 04 (quatro) cursos de graduação: Engenharia Mecatrônica (Bacharelado), Matemática (Bacharelado), Matemática Industrial (Bacharelado), Matemática - EaD e 2 (dois) Programas de pós-graduação stricto sensu: Mestrado Profissional em Matemática e Mestrado em Modelagem e Otimização. Este Instituto compõem a estrutura da Universidade Federal de Catalão.

Navegar

Agora exibindo 1 - 20 de 138

Abordagem analítica e numérica de técnicas de otimização baseadas na redução de intervalos de incerteza
(Universidade Federal de Goiás, 2015-06-30) Smidi, Ali Ahmad; Borges, Romes Antonio; http://lattes.cnpq.br/3888145024042412; Borges, Romes Antonio; Lemos, Glen Cézar; Queiroz, Thiago Alves de
In thisstudy,wesoughttopresentanintroductiontonumericaltechniquesaimedto optimize accessibleelementaryproblemstothestudentsofsecondandthirdyearofhigh school.TheoptimizationtechniquesdiscussedinthisworkweretheFibonacciandthe Golden Sectionmethods.Theworkpresentsanddoesmathematicaldescriptionofsuch techniques,fromaninitialknowledgeandbuildingmethodsinquestion.Inaddressinga real problem,weattemptedtointroducetheinterpretationandmathematicalmodeling of theproblemaswellasitssolutionsanalyticallyandnumerically,usingsoftwares simple touse.Inthisregard,itcanbestatedthatthepresentworkprovidesdidactical approachofmainunimodaloptimizationtechniquestoreduceuncertaintyinterval.
Abordagem estocástica de máquinas rotativas utilizando os métodos hipercubo latino e caos polinomial
(Universidade Federal de Goiás, 2017-09-15) Queiroz, Layane Rodrigues de Souza; Borges, Romes Antonio; http://lattes.cnpq.br/3888145024042412; Santee, Donald Mark; Cavallini Junior, Aldemir Aparecido
Mechanical systems may suffer with uncertainties that can appear from non-precise data and due the dynamic nature of the problem. Different methods have been used to deal with uncertainty propagation, such as the Latin Hypercube sampling and Polynomial Chaos. Latin hypercube allows to obtain the solution of the random process, from sampling using some probability distribution, over the process domain data. In its turn, the polynomial chaos expansion allows to separate the stochastic components from the deterministic ones of the random solution by using orthogonal polynomials in conformity with the probability distribution of the random variables representing uncertainties. In this work, we apply the Latin hypercube and the polynomial chaos in the quantification of uncertainties. In the beginning some simple mechanical systems were considered, for the purpose to validate the methodology and, then, we studied the effects of uncertainties on a rotor supported by hydrodynamic bearings.
Uma abordagem matemática no ensino de cálculo estequiométrico
(Universidade Federal de Goiás, 2021-03-08) Andrade, Leandro Mendes de; Cunha, Juliana Bernardes Borges da; http://lattes.cnpq.br/5114119986465967; Cunha, Juliana Bernardes Borges da; Santee, Donald Mark; Silva, Ricardo Souza da
The present work is a proposal of didactic sequence, with the objective of minimizing some difficulties that the students present when there is interdisciplinarity between Mathematics (basic) and Chemistry, specifically the teaching of stoichiometry. In it we approach the teaching-learning of stoichiometric calculus, working the definitions and mathematical concepts, on the balance of chemical reactions. To try to remedy the difficulties in this content, we initially applied some activities as a survey of knowledge. Then, an intervention proposal was presented and shows an application of Mathematics in Chemistry, which can contribute to the teaching of stoichiometry and basic Mathematics, showing them the importance of studying these subjects and motivating them to teach mathematical concepts that can give them a solution to different problems.
A abstração da função exponencial de interações entre engrenagens lego®
(Universidade Federal de Goiás, 2020-04-09) Costa, Cristhian Pires da; Silva, Fernando Kennedy da; http://lattes.cnpq.br/8313547891856943; Silva, Fernando Kennedy da; Barbosa, Fernando da Costa; Alves, Deive Barbosa
In this paper, the central theme is the abstraction of the exponential function and the exponential type of interactions between gears in the LEGO® Mindstorms NXT Kit. Through the construction of a cart using parts of this kit, was found that it is composed of a 4-speed gearbox, which works with an exponential rate of change. The motivation of this paper was to discover whether it would be possible or not to abstract this function, based on interactions between gears, that in the great majority, are associated only with the proportionality issues and, consequently, with linear functions. With analyzes and studies made based on materials already produced, both on interactions between gears, and on gear shifts made of LEGO® parts, we were able to do the construction of the proposed gearbox. For this, we use gears reductions of spins, which in sequence was able to create a geometric progression, which was associated with the exponential type of function. Thus, this gear is used as an study object of a didactic sequence and of contents, both with regard to its construction (detailed in the didactic sequence) and as to its functioning (explored in the form of exercises). The sequence, as an objective of assisting the teacher in teaching the exponential function is based on the Zabala’s (1995) theory, which is based on Piaget's constructivist conceptions (1978) on the cognitive process construction of knowledge. Based on the choice of using gears and educational digital technologies, through educational robotics, we bring the guidance of Saymon Papert (1985), author of the constructionist theory. And with the positive result of this work, it was possible to see the great mathematical arsenal existing in the interactions between gears, which, when associated with Educational Robotics, allows to fully work on the integral development of the students, by relating in the execution of their activities, in a simultaneously way, such as concepts, procedures and attitudes.
A álgebra dos complexos/quatérnios/octônios e a construção de Cayley-Dickson
(Universidade Federal de Goiás, 2016-08-30) Santos, Davi José dos; Silva, Fernando Kennedy da; http://lattes.cnpq.br/8313547891856943; Santana, Fagner Lemos de; Galdino, André Luiz; Silva, Fernando Kennedy da
This research with theoretical approach seeks to investigate inmathematics, octonions,which is a non-associative extension of the quaternions. Its algebra division 8-dimensional formed on the real numbers is more extensive than can be obtained by constructing Cayley-Dickson. In this perspective we have as main goal to answer the following question: "What number systems allow arithmetic operations addition, subtraction, multiplication and division? " In the genesis of octonions is the Irish mathematician William Rowan Hamilton, motivated by a deep belief that quaternions could revolutionize mathematics and physics, was the pioneer of a new theory that transformed the modern world. Today, it is confirmed that the complexs/quaternions/octonions and its applications are manifested in different branches of science such as mechanics, geometry, mathematical physics, with great relevance in 3D animation and robotics. In order to investigate the importance of this issue and make a small contribution, we make an introduction to the theme from the numbers complex and present the rationale and motivations of Hamilton in the discovery of quaternions/octonions. Wemake a presentation of the algebraic structure and its fundamental properties. Then discoremos about constructing Cayley-Dickson algebras that produces a sequence over the field of real numbers, each with twice the previous size. Algebras produced by this process are known as Cayley-Dickson algebras; since they are an extension of complex numbers, that is, hypercomplex numbers. All these concepts have norm, algebra and conjugate. The general idea is that the multiplication of an element and its conjugate should be the square of its norm. The surprise is that, in addition to larger, the following algebra loses some specific algebraic property. Finally, we describe and analyze certain symmetry groups with multiple representations through matrixes and applications to show that This content has a value in the evolution of technology.
Análise analítica e numérica de vigas casteladas com diferentes padrões geométricos
(Universidade Federal de Goiás, 2018-10-22) Melo, Pedro Henrique Pedrosa de; Silva, Wellington Andrade da; http://buscatextual.cnpq.br/buscatextual/ visualizacv.do?id=K4750483A1; Silva, Wellington Andrade da; Borges, Romes Antonio; Ferreira, Maurício Pina
The present paper deals with the main subjects related to castellated steel beams, initially showing a brief review of the history of emergence and use of the world, highlighting the characteristics that favored the growth of use and the difficulties of its use. The main failure modes are characterized, highlighting the analytical procedures available in the literature to circumvent them, in order to propose a calculation procedure for the design. The proposed procedure is evaluated through the experimental result of four surveys. The work also presents numerical modeling, using Finite Element Method (FEM), for beams available in the technical literature, in order to complement the analysis of beam behavior during loading and to verify the validity of the proposed numerical model, mainly in relation to the analysis criteria adopted in the numerical model, such as von Mises stress distribution, isotropic hardening and tensile stress behavior of the steel using the multilinear graph, also available in the technical literature. The validity allows the proposed beams, with Anglo-Saxon geometry, Litzka and Peiner, to have reliability of analysis of the model, and for the proposed loading the Anglo-Saxon beam obtained greater resistance, mainly due to the small distance between the holes and also the lowest overall width of the aperture. The results of the numerical models, via MEF, showed good precision when compared to the experimental results, showing that MEF is an extremely useful tool for nonlinear analysis, provided the model is properly calibrated. Another important result is the resistance values presented by the proposed analytical procedure, which presents a good approximation to the actual values of the experiment and also the resistance values obtained in the proposed numerical models, and can be adopted for the practical dimensioning of these beams.
Análise da avaliação diagnóstica da aprendizagem do estado de Goiás: um olhar sobre a área de matemática
(Universidade Federal de Goiás, 2018-10-31) Rabelo, Fabiano Barros; Borges, Marta; http://lattes.cnpq.br/6407324517825514; Borges, Marta; Bergamaschi, Paulo Roberto; Santana, Fabiana Tristão de
The application of large-scale evaluations has undoubtedly become part of the school routine. It is inherent in the teacher's job to prepare the students and analyze their results. This research analyzed the application and evaluation of the results of one of these evaluations: The ADA: Diagnostic Learning Evaluation, promoted by the Secretaria de Educação do Estado de Goiás, in a public school. Considering that the result of this evaluation shows the need for changes in teaching plan in Mathematics in high school and that planning is essential for the teaching activity, the questions analyzed were: How ADA results reflects the teacher's tasks in the classroom and the plan made by mathematics teachers? What actions to improve learning means could be identified based on the results of the ADA? What contributions have the actions taken produced for the improvement of the teaching and learning process of Mathematics? Therefore, a qualitative case study research was conducted through interviews with four participants: a mathematics teacher, a school coordinator, and servers of the Secretaria de Educação Estadual, as well as documentary research on the results of this evaluation. The analysis of the data obtained was done through the construction of an axis of analysis and categorization, through emerging categories such as test questions, application of the Theory of Responses by item (TRI), the results achieved and the teacher training to deal with these results. The means lead us to reflect on the goals of this type of evaluation, emphasizing its objectives and the results obtained, as well as the entire application process, considering the interviewees’ point of view.
Análise da função quadrática, com ênfase em seus coeficientes, via GeoGebra
(Universidade Federal de Goiás, 2016-10-31) Xavier, José Fábio; Bergamaschi, Paulo Roberto; http://lattes.cnpq.br/6961717072558004; Bergamaschi, Paulo Roberto; Ribeiro, Márcio Roberto Rocha; Junqueira, Manoel Moraes
The high school is the final phase of young people in basic education, and at this age are going through the same changes in their lives that will be huge. They live in a highly technological society and study in a school in the last century format. In this work the focus was on when addressing the issue of Quadratic Functions, seen in the first year of high school, to use technology as a motivating element of the teaching and learning process. In the lecture of this text, it is possible to see education as continuous and formative process. Pass by the history of the quadratic equation, and its resolution methods. It addressed the context of the use of technologies such as computational resource for teaching functions. It describes and demonstrates the theorems and proposals concerning the parabola, which is the graph of the quadratic function. In the last chapter the approach occurs within the dynamic geometry environment, GeoGebra. In this chapter you can check the analysis of all the points that make up the quadratic function graphic already applied to the use of the software. It was concluded among other things, the software itself will not solve all problems, but it makes the approach of the truths become more "viewable", however, it reinforces the need for confirmation of statements from expectations.
Análise de estabilidade em sistemas mecânicos não lineares com vistas a atenuação de vibrações
(Universidade Federal de Goiás, 2016-03-09) Purcina, Alcione Borges; Borges, Romes Antonio; http://lattes.cnpq.br/3888145024042412; Borges, Romes Antonio; http://lattes.cnpq.br/3888145024042412; Lima, Antônio Marcos Gonçalves de; Abud, Celso Vieira
In the last years, there is a growing interest in the study of nonlinear phenomena that because with the modernization of the structures and employment of innovative and more flexible materials, the nonlinearities become more evident. In that sense, this work aims to study the behavior of a mechanical system with two degrees of freedom with non-linear characteristics in primary resonance. The structure consists of the main system connected to a secondary system to act as a Nonlinear Dynamic Vibration Absorber, which partially or fully absorbs the vibrational energy of the system. The numerical solutions of the problem are obtained using the Runge-Kutta methods of 4th order and approximate analytical solutions are obtained using the Multiple Scales Method, and then it turns out how close can be closer to the numerical solutions. Through the mentioned disturbance method, too, it is determined the answers for the ordinary differential equations of the first order, which describe the modulation amplitudes and phases. Thus, the solution in steady state and the stability are studied using the frequency response. Furthermore, the behavior of the main system and the absorber are investigated through numerical simulations, such as responses in the time domain, phase planes and Poincaré map; which show that the system displays periodic movements, quasi-periodic and chaotic.
Análise estática e dinâmica de pórticos planos com o uso da formulação corrotacional
(Universidade Federal de Goiás, 2018-10-22) Cunha, João Paulo Favoretto Braz da; Silva, Wellington Andrade da; http://lattes.cnpq.br/2449347153075493; Silva, Wellington Andrade da; Borges, Romes Antônio; Ribeiro, Paulo Marcelo Vieira
This research presents a survey of the corrotational kinematic description applied to the Finite Element Method for 2D beam element, based on the Euler-Benoulli beam hypothesis, with the purpose to handle the effects of geometric non-linearity in the behavior of structures. In order to complete this survey two Matlab\textregistered programs were implemented in the finite element method based on the kinematic description presented in this research. The first one was to static analysis, denominated PPNLG, and the second one to dynamic analysis, denominated PPNLD . In relation of the field of static analysis, the method of load displacement control was the cylindrical arch length method. To the dynamic analysis, the method used to solve the systems of nonlinear differential equations was the implicit direct integration method of Newmark. Both programs were successfully validated when comparing the results obtained in numerical examples with the results obtained by other bibliographies.
Análise estrutural estática por elementos finitos de um chassi veicular tipo spaceframe
(Universidade Federal de Goiás, 2016-08-25) Pereira, Clezidan Núcio; Moura Júnior, José Reis Vieira de; http://lattes.cnpq.br/2479225716217997; Stoppa, Marcelo Henrique; Stoppa, Marcelo Henrique; Moura Júnior, José Reis Vieira de; Santee, Donald Mark; Espinosa, José Waldo Martínez
Regarded as the main subsystem of a vehicle, the chassis are the link between the other subsystems and must also support multiple static and dynamic loads with stiffness, reliability and security. In this line, this paper presents the development and analysis of a vehicle three-dimensional structure spaceframe type, due to the complexity of the structure were used computational tooling in order to simulate the behavior of statically tubular structure, with the main objective to certify the reliability of the developed project, ensuring safety to drivers. The structure, existing, was modeled in CAD through SOLIDWORKS software, and their simulations were performed using the finite element method via commercial software ANSYS®. The simulationmethodology had the precise definition of loads and displacement constraints to the model in order to make the most plausible model possible. Were then performed computational analysis of rollover and frontal impact in the model (80 km/h e 60 km/h). Through the simulations, it was possible analyze the displacements arising from the critical situations in which the vehicle was submitted are consistent with what is recommended by regulating rules and bibliographies, with this in view that the chassis developed empirically and computationally simulated showed satisfactory results as its reliability and safety, are not required increment bars or modifying the system geometry.
Análise numérica de métodos empíricos do estudo da condutividade hidráulica
(Universidade Federal de Goiás, 2018-09-28) Gonçalves Filho, José Carlos Campos; Rabelo, Marcos Napoleão; http://lattes.cnpq.br/0067281135180613; Rabelo, Marcos Napoleão; Santos Filho, Tercio Alberto dos; Santee, Donald Mark
In the context of Agronomic and Environmental Sciences, the hydraulic conductivity K (µ) as a function of the humidity (µ) and granulometry, is especially important for the study and solution of practical problems related to irrigation, drainage , leaching of nutrients and pollutants, slope stability, problems related to soil compaction in general. Studies will be carried out that stipulate the hydraulic conductivity K (µ) from the particle size distribution and moisture content for certain types of soil, with the particle diameter as the main parameter to obtain the same. One of the advantages in this methodology is the reduction of laboratorial costs and the reduced time when compared to tests to obtain these physical indexes. The state of the art in empirical validation has produced numerical models for simulation description of physical indices. Using experimental methodologies, we will use these models for the validation and subsequent analysis of results for soils obtained at UFCat. The first part of the work will be devoted to the study of statistical models, which relate the behavior of the hydraulic coef cient with the soil granulometry. For this part of the work, the main referencewill be the article (SALARASHAYERI; SIOSEMARDE, 2012). The models that will be used in this dissertation were obtained in (SALARASHAYERI; SIOSEMARDE, 2012), where the authors, through 25 samples of sandy soil extracted characteristics of the hydraulic conductivity. In the present case, laboratory tests have shown that the characteristic of the analyzed soil approaches a clayey behavior see (GONçALVES-FILHO et al., 2017b), (GONçALVES-FILHO et al., 2017a). To overcome this problem we will use the graphs generated from experimental analyzes made by means of humidity sensors, to calibrate statistical models. In the second part of the work, a study will be done, through models that relate the hydraulic coef cient to the soil moisture. For this part the reference (GENUCHTEN, 1980) will be used. In (GENUCHTEN, 1980), analytical models describing the relationship between hydraulic coefIcient, moisture and piezometric level were obtained. The theoretical models will be validated by comparing the theoretical curves and the experimental data acquired through sensors. As a complementary part of the work, numerical simulations will be done to analyze the behavior of the hydraulic coefIcient, with the different models approached.
Aplicacao de determinante: area de poligono convexo e volume de piramide
(Universidade Federal de Goiás, 2015-06-17) Araujo, Elismar Jose de; Freitas, Thiago Porto de Almeida; http://lattes.cnpq.br/5154082262879445; Freitas, Thiago Porto de Almeida; Leandro, Bianka Carneiro; Oliveira, Plínio José
This work will concentrate on making a rereading of the theories that surround the procedures for calculating the area of a convex polygon, as well as the volume of a pyramid whose base is a polygon convex, with its vertices properly represented in a coordinate system, in the plan or in space, respectively. Addresses some topics on arrays and determinant and some of its applications, in particular the study of polygon area and the volume of the pyramid. Based on applying a decisive factor for the calculation of the area of a triangle with its vertices represented in a coordinate system, presents a new theorem to calculate the area of any polygon convex, as well as, a new formula to calculate the volume of any pyramid with convex basis as a direct application of the volume of the tetrahedron with its vertices represented in an orthogonal system. For both, it was essential to the concept of coordinates in the plane and in space, vectors in the plane and in space, and some of its properties, being essential for the demonstrate the volume of the tetrahedron and the area of the triangle, using determinant. Keywords: Volume. Area. Convex polygon. Pyramid. Triangle. Tetrahedron
Aplicação de uma abordagem robusta no problema de localização de ambulâncias com estudo de caso na cidade de Catalão - Goiás
(Universidade Federal de Goiás, 2016-07-05) Marques, Raina Ribeiro; Queiroz, Thiago Alves de; http://lattes.cnpq.br/8041183668335400; Queiroz, Thiago Alves de; Camargo, Victor Claudio Bento de; Borges, Romes Antônio
The robust optimization techniques can be used in problems subject to uncertainty in order to obtain robust solutions, that is, solutions that are less sensitive to the problem variations. Problems such as the facility location, specifically, the location of ambulances, have uncertainty in your data. Thus, an integer linear programming model for allocation of ambulances and stations is investigated considering that the service time is an uncertainty parameter, since this parameter is influenced by the nature of the call, traffic, or distance traveled, for example. It is proposed a model considering the application of a robust approach that controls the amount of uncertainty parameters related with the service time. A case study with real data provided by the fire department of the city of Catalão, Goiás, is performed on the models and the results show that the number of ambulances is greater than the current need, as pointed by the model without uncertainty. However, the results on the robust model show that the real number of ambulances in the city is able to serve a limited amount of demand, so for a maximum variation of the demand, the number of available ambulances are not able to support it. The model had worked well for the first two scenarios among the three ones tested, in which for the last scenario the model was quite sensitive to changes on the uncertainty parameters.
Aplicação de verificação formal em um sistema de segurança veicular
(Universidade Federal de Goiás, 2017-03-07) Silva, Nayara de Souza; Stoppa, Marcelo Henrique; http://lattes.cnpq.br/1532505326645535; Costa, Vaston Gonçalves da; http://lattes.cnpq.br/5192533875584788; Costa, Vaston Gonçalves da; http://lattes.cnpq.br/5192533875584788; Galdino, André Luiz; Rabelo, Marcos Napoleão
The process of developing computer systems takes into account many stages, in which some are more necessary than others, depending on the purpose of the application. The implementation stage is always necessary, indisputably. Sometimes the requirements analysis and testing phases are neglected. And, generally, the part of formal verification correctness is intended for few applications. The use of model checkers has been exploited in the task of validating a behavioral specification in its appropriate level of abstraction, notably specifications validation of critical systems, especially when they involve the preservation of human life, when the existence of errors entails huge financial loss or when deals with information security. Therefore, it proposes to apply formal verification techniques in the validation of the vehicular safety system Avoiding Doored System, considered as critical, in order to verify if the implemented system faithfully meets the requirements for it proposed. For that, it was used as a tool to verify its correctness the Specification and Verification System - PVS, detailing and documenting all the steps employed in the process of specification and formal verification. K
Aplicação dos mapas auto-organizáveis associado ao monitoramento da integridade estrutural baseado na impedância eletromecânica
(Universidade Federal de Goiás, 2018-07-04) Durval, Michael dos Santos; Mora Júnior, José dos Reis Vieira de; http://lattes.cnpq.br/2479225716217997; Tsuruta, Karina Mayumi; Stoppa, Marcelo Henrique; Moura Júnior, José dos Reis Vieira de
Structural Health Monitoring (SHM) is a very cost-effective technique to reduce costs, increase life-cycle, and improve the performance of engineering structures. The impedancebased methodology uses the electromechanical behavior of piezoelectric materials (PZTs) to detect structural anomalies and damages. This technique uses high frequencies and excites the local modes, thus providing the monitoring of any change of the structural mechanical impedance in the region of influence of PZT. From the variation of the impedance signals, it can be concluded whether or not there is a damage. Artificial neural networks (RNA) are part of a broad concept called artificial systems. The foundation of neural networks is associated with the functioning of the human brain, which after training has the ability to perform associations. This science has great applicability in the solution of artificial intelligence problems, through the modeling of systems that use connections that make it possible to simulate the human nervous system. This work uses Kohonen’s self-organizing maps (SOM) associated to SHM based on electromechanical impedance for the detection and classification of damages in an aluminum beam. Based on the system under analysis, the network was trained to five different failure and severity positions. Through the neural network model of self-organizing maps, the network provided 30 maps as answers to the training and learning process. With this, it was realized qualitatively based on the concentration of energy of the maps that the grouping and classification of the different conditions of damages in which the engineering structure was submitted, happened with success. In order to establish a quantitative analysis proving the potential of the SOM network, the Hamming distance formula was applied, in which the results confirmed its accuracy.
Aplicação dos mecanismos de locomoção do tipo Jansen em cadeiras de rodas
(Universidade Federal de Goiás, 2016-03-09) Borges, José Salviano; Stoppa, Marcelo Henrique; http://lattes.cnpq.br/1532505326645535; Stoppa, Marcelo Henrique; http://lattes.cnpq.br/1532505326645535; Pituba, José Julio de Cerqueira; Moura Júnior, José dos Reis Vieira de
To enlarge the active participation of individuals with disabilities in society, some mechanisms have been developed, such as crustches and wheelchairs. Wheelchairs are widely used, either temporarily or even permanently, allowing greater mobility and independence of the individual. However, the same is subject to the physical limitations of the wheels, requiring regular and hard grouynd to ensure bettermobility. Thus, some studies have suggested repacing the wheels on the legs, since the same part of the evolutionary process allows many terrestrial animals and viable movement to the wheels. The mechanisms with legs given the name of mobile machines. Among the most famous mobile machines are developed by the dutch phisicist Theo Jansen, called by Strandbeest. This study evaluates the repacement of the wheels of wheelchairs, for legs, trying to extend its use in less regular land. Also shown is the pattern of locomotion strcture developed by Jansen and the development of the Jansen similar structure using multiobjective optimizationmethods in order to ensure a new optimum configuration, and obtain a prototype proposed to be coupled in a conventional wheelchair. During the work it is proposed the method of wighted sumwith Pareto, this method related to onedimensionalyzation objectives. It also presents a brief comparison with two other methods –Weihted Sumand Pareto Ordination.
Aprendendo funcoes com experimentos de fisica e atividades interdisciplinares
(Universidade Federal de Goiás, 2015-04-27) Silva, Francineia Alves de Souza; Cunha, Juliana Bernardes Borges da; http://lattes.cnpq.br/5114119986465967; Cunha, Juliana Bernardes Borges da; Pinto, Raffael Costa de Figueiredo; Souza, Eduardo Sergio de
In this paper we discuss interdisciplinary issues, seeking a better performance by students in external evaluation methods that the school is subject. In order to awaken a taste for mathematics and related sciences, an experiment was conducted with 20 high school students, an education full-time school, located in the center of Morrinhos, Goiás state. First was made an analysis of historical aspects involved in the function context and it’s basic concepts. Later described Physics contents that involve the concept of function, with methodologies for their teaching-learning process. Finally we analyzed the activities developed and concluded that the goal was achieved, as the students stood out to school too, for external evaluations, being awarded the Student Award offered by the Government of Goiás.
Atividade síncrona em redes complexas: uma abordagem matemática para estudos sobre epilepsia
(Universidade Federal de Goiás, 2021-02-22) Oliveira, Jonas Ferreira de; Abud, Celso Vieira; http://lattes.cnpq.br/5634231159637601; Abud, Celso Vieira; Macau, Elbert Einstein Nehrer; Lobato, Fran Sérgio
Synchronization in complex networks is a phenomenon present in several complex systems, ranging from neurological to electrical and mechanical to social. The most successful archetype in describing the emergence of this collective behavior in complex systems is provided by Kuramoto model. Neurological disorders such as epilepsy can be abstracted mathematically as synchronous activities in complex networks. Epilepsy is a neural disorder related to the intense synchronous neural activities due to the increase of blood flow in the cerebral cortex, causing seizures followed by fainting. Seizures can be prevented by antiepileptic drugs that fend off the emergence of synchrony in neural networks. However, about a third of medicated patients experience seizures again. Thus, the importance of studies on the recognition of synchronous patterns associated with the disorder is justified. This work does not claim to be an ultimate in the modeling of such a complex neural disorder. Therefore, the objective is to investigate which are the most influential areas of the cerebral cortex and how they influence the dynamics of synchronization associated with epilepsy. To this end, a feline's cerebral cortex was modeled as a complex network and, in order to study synchronization, Kuramoto model was used to govern of the dynamics between the areas of the cortex. The Hypertext Induced Topic Search (HITS) algorithm was used to classify pages web, in order to identify the most influential nodes in the feline cerebral cortex network. Metrics concerning the characteristics of the feline neural network and its most influential nodes, were obtained. Regarding the dynamics and measures of global, mesoscopic and microscopic synchrony, results were obtained for a scenario using the original network and two other scenarios, in which it was considered a disturbance, in order to simulate the action of an antiepileptic drug, the disturbance reduced the intensity of connections of a group containing random nodes and the group with nodes chosen by the HITS algorithm by 50%. Finally, it was found that the applied disturbance lagged the global, microscopic and mesoscopic levels of the network.
Atividades lúdicas para o ensino de triangulos em aulas de geometria
(Universidade Federal de Goiás, 2015-03-20) Costa, Dayanne Ferreira; Cunha, Juliana Bernardes Borges da; http://lattes.cnpq.br/5114119986465967; Cunha, Juliana Bernardes Borges da; Rodrigues, Clóves Gonçalves; Bergamaschi, Paulo Roberto
This work aims to recognize methods and methodologies that seek remedy some di culties in the teaching and learning process in the geometry branch. These methods were applied to a class 7 year of a school on the outskirts of Federal District in 2014, and has the theme "Playful Activities for Teaching Geometry. "With this theme, a brief historical overview was presented on geometry. It then sets a study of this branch of mathematics, speci cally content and properties of triangles. Subsequently described the application site this work and the methodologies used were; concrete material and writing mathematics. Finally, the application is analyzed these methods and methodologies in room school as well as the results achieved. It is concluded that with the methodologies adopted the results were satisfactory, as the students were involved signi cantly.

Navegar

Navegando INSTITUTO DE MATEMÁTICA E TECNOLOGIA por Título

Resultados por página

Opções de Ordenação