DSpace Communidade:
http://www.repositorio.ufc.br/handle/riufc/4746
2019-06-18T12:40:47ZJogos: uma abordagem matemática.
http://www.repositorio.ufc.br/handle/riufc/40445
Título: Jogos: uma abordagem matemática.
Autor(es): Pontes, Max Maia Attanasio Voss
Abstract: This dissertation addresses four mathematical games, namely: Game of Nim, Resta One, Jumping Frog and Game of Wythoff. A historical, exemplary and illustrative approach is taken. Soon after, it is shown, with mathematical rigor, how the winning algorithm of each game works.2018-01-01T00:00:00ZCoordenadas baricêntricas
http://www.repositorio.ufc.br/handle/riufc/40048
Título: Coordenadas baricêntricas
Autor(es): Ferreira, José Clairto Rocha
Abstract: The objective of this work is to present the technique of solving problems of geometry plane called barycentric coordinates and show that the solutions to some problems become easier with the use of this technique. We begin the work with the development of the basic theory of this technique, from the definition of barycentric coordinates and the calculation of the barycentric coordinates of some remarkable points of the triangle, passing through the equation of the line, formula of the distance between two points, Conway notation and conditions of parallelism and perpendicularity. After that, we apply this technique to solve some problems, many of them coming from Olympic competitions of Matemática. We finish the work indicating a possibility of insertion of this subject in the high school curriculum.2018-01-01T00:00:00ZSistemas de votação e o teorema da impossibilidade de Arrow.
http://www.repositorio.ufc.br/handle/riufc/38773
Título: Sistemas de votação e o teorema da impossibilidade de Arrow.
Autor(es): Mitchel, Daniel Pires
Abstract: Throughout history, several researchers have suggested different electoral systems that were intended to define a fair or ethical way of expressing the "popular will" over a certain set of choices. The focus of this work is on ranking polling systems where, instead of each citizen voting simply for the best candidate (on his / her opinion), he / she should vote in an order on all possible candidates (or options) in an election. The system must then, following a predetermined set of rules, produce an "elected order" by the population. In this work, we study some properties that are usually expected, or if desired, for such a system to be considered fair. We note that the outcome of an election can change dramatically when using different systems, even though both systems seem, a priori, to return fair choices. This confirms that the outcome of an election is directly linked to the type of electoral system that is adopted. We also make an analysis of several influential systems throughout the history of the so-called "Social Choice Theory". Finally, we end by showing a demonstration of Arrow's influential Theorem of Impossibility, which says that in ranking voting systems certain important conditions and can not be met simultaneously. We conclude, then, that in democratic polls it is necessary to give up one of these properties (or not to use a system by rank). In this way, the study of the most common electoral systems has a sophisticated role in helping us to define, criticize or influence the electoral system used in an election, helping us to perceive the strengths and weaknesses of each one of them.2018-01-01T00:00:00ZCompletamentos dos racionais e o teorema de Ostrowski.
http://www.repositorio.ufc.br/handle/riufc/37975
Título: Completamentos dos racionais e o teorema de Ostrowski.
Autor(es): Silva, José Mário Viana da
Abstract: The work presents the p-adic bodies as completions for the body of rational numbers. It also presents a demonstration for the Ostrowski theorem that characterizes absolute values over rational ones.2018-01-01T00:00:00Z