Submitted by Valquíria Barbieri (kikibarbi@hotmail.com) on 2018-02-01T20:50:50Z No. of bitstreams: 1 DISS_2013_Caroline Soares de Souza.pdf: 10051218 bytes, checksum: f5d3517fbb0be0cb1dfc4d00cfb445d3 (MD5) / Approved for entry into archive by Jordan (jordanbiblio@gmail.com) on 2018-02-02T14:21:38Z (GMT) No. of bitstreams: 1 DISS_2013_Caroline Soares de Souza.pdf: 10051218 bytes, checksum: f5d3517fbb0be0cb1dfc4d00cfb445d3 (MD5) / Made available in DSpace on 2018-02-02T14:21:38Z (GMT). No. of bitstreams: 1 DISS_2013_Caroline Soares de Souza.pdf: 10051218 bytes, checksum: f5d3517fbb0be0cb1dfc4d00cfb445d3 (MD5) Previous issue date: 2013-08-26 / Tendo como referencial as contribuições da arte moderna na arte contemporânea, investigamos e analisamos a trajetória da produção artística de Lygia Pape, artista fluminense que viveu nessa transição, reunindo a bibliografia sobre ela escrita por Denise Mattar, Vanessa Machado e Lucia Carneiro e Ileana Pradilla. Evidenciamos as relações entre o Divisor (1968) e a póetica e conceitos que perpassam a vida e a obra de Lygia, elegendo-o como síntese de sua produção. / Taking as reference the contributions of modern art in contemporary art, we investigate and analyze the trajectory of artistic production from Lygia Pape, brasilian artist who lived in this transition, bringing the bibliography about the her written by Denise Mattar, Vanessa Machado and Lucia Carneiro and Ileana Pradilla. We show the relationship between the artwork Divisor (1968) and the poetic and concepts that underlie the life and work of Lygia Pape, electing him as a synthesis of her production.

We examine results concerning the generation of primes in certain types of integer sequences. The sequences discussed all have a connection in that each satisfies a recurrence relation. Mathematicians have speculated over many centuries that these sequences contain an infinite number of prime terms, however no proof has been given as such. We examine a less direct method of showing an infinitude of primes in each sequence by showing that the sequences contain an infinite number of terms with primitive divisors.

Let Md be the moduli space of algebraic maps (morphisms) of degree d from P^1 to a fixed Grassmannian. The main purpose of this thesis is to provide an explicit construction of a compactification of Md satisfying the following property: the compactification is a smooth projective variety and the boundary is a simple normal crossing divisor. The main tool of the construction is blowing-up. We start with a smooth compactification given by Quot scheme, which we denote by Qd. The boundary Qd\Md is singular and of high codimension. Next, we give a filtration of the boundary Qd\Md by closed subschemes: Zd,0 subset Zd,1 subset ... Zd,d-1=Qd\Md. Then we blow up the Quot scheme Qd along these subschemes succesively, and prove that the final outcome is a compactification satisfying the desired properties. The proof is based on the key observation that each Zd,r has a smooth projective variety which maps birationally onto it. This smooth projective variety, denoted by Qd,r, is a relative Quot scheme over the Quot-scheme compactification Qr for Mr. The map from Qd,r to Zd,r is an isomorphism when restricted to the preimage of Zd,r\ Zd,r-1. With the help of the Qd,r's, one can show that the final outcome of the successive blowing-up is a smooth compactification whose boundary is a simple normal crossing divisor.

FREITAS, Carlos Wagner Almeida. Equações diofantinas. 2015. 201 f. Dissertação (Mestrado em Matemática em Rede Nacional) – Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2015. / Submitted by Rocilda Sales (rocilda@ufc.br) on 2015-07-07T13:47:58Z No. of bitstreams: 1 2015_dis_cwafreitas.pdf: 2277656 bytes, checksum: 3af27a1d293cade13ea2c647cdf656f3 (MD5) / Approved for entry into archive by Rocilda Sales(rocilda@ufc.br) on 2015-07-07T13:48:30Z (GMT) No. of bitstreams: 1 2015_dis_cwafreitas.pdf: 2277656 bytes, checksum: 3af27a1d293cade13ea2c647cdf656f3 (MD5) / Made available in DSpace on 2015-07-07T13:48:30Z (GMT). No. of bitstreams: 1 2015_dis_cwafreitas.pdf: 2277656 bytes, checksum: 3af27a1d293cade13ea2c647cdf656f3 (MD5) Previous issue date: 2015 / The current work has as objective main to structuralize students, professors and loving of the mathematics for the best understanding, interpretation and resolution of problems that come to be solved using the Diofantinas Equations. For this, they had been used techniques as the use of inequalities and the parametric method that are contents studied for the professors of Basic and Average Education. Also the presentation of some examples, all decided, that they will serve as object of study for professors, college’s student was used for this, pertaining to school and loving students of the mathematics. In the first chapter we will approach the facts historical of great mathematicians who had contributed with the development of the Diofantinas Equations. No longer according to chapter, we go to better know the essence of the Elementary Theory of the Numbers, presenting, demonstrating and exemplifying the mathematical tools that will be used in the resolution of the Diofantinas Equations. Finally, in the third chapter, we will introduce the Diofantinas Equations and the methods of determination of solutions of the same one, applying them in situation-problem of the daily one. The conclusion of this work emphasizes the importance of the algebraic and geometric understanding of the Diofantinas Equations, and that the contact with problems of this area contributes so that the reader develops in creative way, its cognitive abilities. It is important to stand out that the introduction to the resolution of problems of this nature does not need superior knowledge, being able to be boarded in Basic and Average education. / O atual trabalho tem como objetivo principal estruturar estudantes, professores e amantes da matemática para a melhor compreensão, interpretação e resolução de problemas que venham a ser solucionados usando-se as Equações Diofantinas. Para isso, foram usadas técnicas como o uso de inequações e o método paramétrico que são conteúdos estudados pelos professores do Ensino Fundamental e Médio. Também foi utilizada para isso a apresentação de vários exemplos, todos resolvidos, que servirão como objeto de estudo para professores, universitários, estudantes escolares e amantes da matemática. No primeiro capítulo abordaremos os fatos históricos de grandes matemáticos que contribuíram com o desenvolvimento das Equações Diofantinas. Já no segundo capítulo, vamos conhecer melhor a essência da Teoria Elementar dos Números, apresentando, demonstrando e exemplificando as ferramentas matemáticas que serão utilizadas na resolução das Equações Diofantinas. Por fim, no terceiro capítulo, introduziremos as Equações Diofantinas e os métodos de determinação de soluções das mesmas, aplicando-as em situações-problema do cotidiano. A conclusão desse trabalho enfatiza a importância da compreensão algébrica e geométrica das Equações Diofantinas, e que o contato com problemas desta área contribua para que o leitor desenvolva de modo criativo, suas habilidades cognitivas. É importante ressaltar que a introdução à resolução de problemas dessa natureza não necessita dede conhecimentos superiores, podendo ser abordado no Ensino Fundamental e Médio.

We establish consistent definitions for divisors, principal divisors, and Jacobians of a tropical elliptic curve and show that for a tropical elliptic cubic C , the associated Jacobian (or zero divisor class group) is the group S^1(Q).

The intent of this thesis is to explore whether any patterns emerge among families or through graph operations regarding the appearance of Weierstrass vertices on graphs. Currently, patterns have been identified and proven on cycles, complete graphs, complete bipartite graphs, and the house and house-x graphs. A Python program developed as part of this thesis to perform the algorithms used in this analysis confirms these findings. This program also revealed a pattern: if v is a Weierstrass vertex, then the vertex v* added to the graph as a pendant vertex to v is also a Weierstrass vertex. The converse is also true: if v is not a Weierstrass vertex, v* will not be either.

Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2017-04-11T12:47:20Z No. of bitstreams: 2 Dissertação - Paula Daniele Borges dos Santos - 2017.pdf: 1755533 bytes, checksum: 6efac4df89f983ce6e59731acd88d41a (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2017-04-11T12:47:44Z (GMT) No. of bitstreams: 2 Dissertação - Paula Daniele Borges dos Santos - 2017.pdf: 1755533 bytes, checksum: 6efac4df89f983ce6e59731acd88d41a (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2017-04-11T12:47:44Z (GMT). No. of bitstreams: 2 Dissertação - Paula Daniele Borges dos Santos - 2017.pdf: 1755533 bytes, checksum: 6efac4df89f983ce6e59731acd88d41a (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2017-03-21 / Fundação de Amparo à Pesquisa do Estado de Goiás - FAPEG / The present work intends to show an illustrative approach to calculate and understand Greater Common Divisor and Least Common Multiple, seeking a greater assimilation and concretization of the learning of this content. This methodology is presented in a chromological order following the evolution of mathematical concepts. Therefore, this text, aiming to produce a meaningful approach of the subject, seeks to expose in a simple way what comes to be the Prime Numbers according to Numbers Theory and Venn Diagram according to the Set Theory, in order to visualize and obtain the Relation between Greater Common Divisor, Least Common Multiple, and Venn Diagram. / O presente trabalho pretende mostrar uma abordagem ilustrativa para se calcular e entender Máximo Dividor Comum e Mínimo Múltiplo Comum, buscando uma maior assimilação e concretização da aprendizagem desse conteúdo. Esta metodologia é apresentada numa ordem cronológica seguindo a evolução dos conceitos matemáticos. Logo, este texto, visando produzir uma abordagem significativa do assunto, busca expor de forma simples o que vem a ser os Números Primos segundo a Teoria dos Números e Diagrama de Venn segundo a Teoria dos Conjuntos, para que assim se consiga visualizar e obter a Relação entre Máximo Divisor Comum, Mínimo Múltiplo Comum e o Diagrama de Venn.

O objetivo desta tese é analisar a criação doParque Nacional da Serra do Divisor (PNSD), no Acre, em 1989, como parte de um longo processo histórico de implantação de Unidades de Conservação no Brasil. Também procuramos avaliar como se deu a escolha da área onde se localiza o Parque e os procedimentos de elaboração e implantação do Plano de Manejo desta unidade. Antes de analisar o caso brasileiro, consideramos importante acompanhar como se deu a criação de áreas de conservação em outros países. Desde a criação do Parque Nacional de Yellowstone, em 1872, nos Estados Unidos, até a instalação da União Internacional pela Conservação da Natureza (UICN), em 1948, e sua atuação em defesa da criação de áreas protegidas nos vários continentes. A União também foi fundamental no estabelecimento de padrões internacionais para estas áreas. Pela pesquisa, pudemos observar que as primeiras Unidades de Conservação no Brasil, os Parques Nacionais dos anos 1930, seguiram o modelo norte-americano, que tinha como objetivo a preservação da natureza e a contemplação das belezas cênicas, não permitindo a presença de moradores. Já noano 2000, quando foi criado o Sistema Nacional de Unidades de Conservação SNUC, acompanhando os novos padrões internacionais, o país contava com diferentes categorias de Unidades de Conservação, agrupadas em dois grupos: as de uso integral, que não permitiam a presença de moradores, e as de uso sustentável, que tentavam conciliar a preservação da natureza com a presença de moradores. Para a realização do trabalho, além de amplo levantamento da bibliografia que trata das Unidades de Conservação no Brasile em outros países, fizemos levantamento exaustivo da legislação federal referente a questões ambientais e áreas de preservação. Para o estudo do PNSD-AC, também levantamos legislação estadual e documentação relativa a organismos civis e aos movimentos sociais de cunho ambiental que ocorreram no Acre a partir dos anos 1970. Também realizamos entrevistas com especialistas que atuaram na elaboração do Plano de Manejo do PNSD. Deacordo com os levantamentos realizados, uma das conclusões da pesquisa é que aescolha da região onde hoje está localizado o PNSD, não foi aleatória, tendo seguido a orientação de vários estudos que mostraram o potencial da região em termos de biodiversidade. / The objective of this thesis is to analyze the creation of the Serra do Divisor National Park (PNSD) in Acre in 1989 as part of a long historical process Conservation Units deployment in Brazil. We also seek to assess how was the choice of the area where is located the Park and procedures for the establishment and implementation of the Management Plan of the unit. Before analyzing the Brazilian case, we consider important to monitor how the creation of protected areas in other countries was. Since the creation of Yellowstone National Park in 1872, the United States, until the installation of the International Union for Conservation of Nature (IUCN) in 1948, and his defense in action the creation of protected areas in the various continents. The Union was also instrumental in establishing international standards for these areas. For the study, we observed that the first protected areas in Brazil, the National Parks of the 1930s, followed the US model, which aimed to the preservation of nature and the contemplation of scenic beauty, not allowing the presence of residents. Already in 2000, when it was created the National Protected Areas System -SNUC, following the new international standards, the country had different categories of protected areas, grouped into two groups: the full use, which did not allow the presence residents, and sustainable use, which attempted to reconcile the preservation of nature with the presence of residents. To carry out the work, plus extensive survey of the literature dealing with protected areas in Brazil and other countries, did exhaustive survey of federal legislation concerning environmental issues and conservation areas. To study the PNSD-AC, also raised state legislation and documentation of civil organizations and social movements of an environmental nature that occurred in Acre from the 1970s also conducted interviews with experts who worked in the preparation of PNSD Management Plan. According to surveys conducted one of the research findings is that the choice of the region where today is located the PNSD, was not random, having followed the guidance of several studies that have shown the potential of the region in terms of biodiversity.

In this work, the analysis of the computation of the greatest common divisor of univariate and bivariate polynomials is presented. The whole process is split into three stages. In the first stage, data preprocessing is explained and the resulting better numerical behavior is demonstrated. Next stage is concerned with the problem of the computation of the numerical rank of the Sylvester matrix, from which the degree of the greatest common divisor is obtained. The last stage is the actual algorithm for calculating the greatest common divisor of two polynomials. Furthermore, the underlying theory behind the computation of the greatest common divisor is explained and illustrated on many examples. 1

Submitted by Jean Medeiros (jeanletras@uepb.edu.br) on 2017-07-20T17:14:06Z No. of bitstreams: 1 PDF - Erivan Sousa Valentim.pdf: 10186922 bytes, checksum: ffae32fb65fe99f5c16bf7b416d3008d (MD5) / Approved for entry into archive by Secta BC (secta.csu.bc@uepb.edu.br) on 2017-08-29T15:42:48Z (GMT) No. of bitstreams: 1 PDF - Erivan Sousa Valentim.pdf: 10186922 bytes, checksum: ffae32fb65fe99f5c16bf7b416d3008d (MD5) / Made available in DSpace on 2017-08-29T15:42:48Z (GMT). No. of bitstreams: 1 PDF - Erivan Sousa Valentim.pdf: 10186922 bytes, checksum: ffae32fb65fe99f5c16bf7b416d3008d (MD5) Previous issue date: 2017-06-09 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / The purpose of this work is to realize an approach about multiples and divisors, in- cluding the least common multiple and the greatest common divisor, owing to the difficulty that students feel when they faced with such content in basic education, aiming at a better understanding about it and an improvement in the learning of le- arners. The suggestion was applied in an 8th grade class at the Joaquim Limeira de Queiroz Agricultural Technical School, in the city of Puxinan˜ a - PB, in March 2017. They were addressed the definitions of multiples, divisors, prime numbers and the least common multiple and the greatest common divisor, and it was applied activities such as: bingo of the divisors, the sum of the magic square and the construction of the Sieve of Eratosthenes. Finally, we carried out an evaluation exercise with the objective of analyzing if the results regarding the content and the activities previously proposed were satisfactory. / A proposta deste trabalho é de realizar uma abordagem sobre os múltiplos e divisores, incluindo mínimo múltiplo comum e o máximo divisor comum, tendo em vista a dificuldade que os estudantes sentem ao se deparar com tal conteúdo na educação básica, objetivando um melhor entendimento a cerca do conteúdo e uma melhoria no que diz o respeito a aprendizagem dos educandos. A proposta foi aplicada em uma turma de 8 ano na Escola Técnica Agrícola Joaquim Limeira de Queiroz, na cidade de Puxinanã - PB, no mês de março de 2017. Foram abordados as definições de múltiplos, divisores, números primos e mínimo múltiplo comum e máximo divisor comum, e aplicadas atividades tais como: bingo dos divisores, a soma do quadrado mágico e a construção do Crivo de Eratóstenes. Por fim, realizamos um exercício avaliativo com o objetivo de analisar se os resultados a respeito do conteúdo e das atividades propostas anteriormente foram satisfatórias.