xii, 76 p. : ill. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number. / We study the graded representation theory of the Iwahori-Hecke algebra, denoted by Hd , of the symmetric group over a field of characteristic zero at a root of unity. More specifically, we use graded Specht modules to calculate the graded decomposition numbers for Hd . The algorithm arrived at is the Lascoux-Leclerc-Thibon algorithm in disguise. Thus we interpret the algorithm in terms of graded representation theory. We then use the algorithm to compute several examples and to obtain a closed form for the graded decomposition numbers in the case of two-column partitions. In this case, we also precisely describe the 'reduction modulo p' process, which relates the graded irreducible representations of Hd over [Special characters omitted.] at a p th -root of unity to those of the group algebra of the symmetric group over a field of characteristic p. / Committee in charge: Alexander Kleshchev, Chairperson, Mathematics; Jonathan Brundan, Member, Mathematics; Boris Botvinnik, Member, Mathematics; Victor Ostrik, Member, Mathematics; William Harbaugh, Outside Member, Economics

Apresentamos, nesta tese, uma investigação sobre a estabilização ontológica do fóton, um actante inicialmente articulado no contexto da primeira revolução da Física Quântica. Partindo dos Estudos da Ciência de Bruno Latour, entendemos a ciência como uma rede que se estende por diferentes setores da sociedade e que, portanto, lida com diferentes gêneros do discurso. Além de identificar a importância do gênero científico (artigos seminais) no processo de autonomização dos fatos científicos, também reconhecemos que, na comunidade da Física, os livros didáticos, ou manuais de instrução, tem papel crucial no estabelecimento dos problemas exemplares bem como das teorias hegemônicas, tanto que, hoje, é possível um físico se formar sem estudar os artigos originais sobre Física Quântica. Ademais, os livros didáticos de ciências da Educação Básica são, atualmente, responsáveis pela extensão da rede científica para além dos laboratórios, autonomizando actantes como o fóton em esferas mais amplas da sociedade, papel que Latour poderia chamar de representação pública. O objetivo desta pesquisa é investigar a interação entres esses três gêneros do discurso (artigos seminais, livros didáticos de ensino superior e livros didáticos de ensino médio) e interpretar como que a estabilização ontológica do fóton é mediada por cada um deles. Ao fazer isso, estamos estendendo o programa de pesquisa de Latour em, pelo menos, três sentidos. Primeiramente, incluímos o papel do contexto didático na rede da ciência. Segundo, nossos objetos de investigação estão separados por um intervalo temporal maior do que o usual (aproximadamente cem anos). E, por fim, enquanto Latour dedica-se, principalmente, ao estudo de ciências empíricas, nosso trabalho volta-se para assim chamada Física Teórica, levantando questões ontológicas não discutidas originalmente por Latour. Para dar conta dessa extensão, o presente trabalho está dividido em duas partes. A parte I (Referencial Teórico) traz três artigos sobre as ideias de Bruno Latour e as possibilidades de sua aplicação na pesquisa em Educação em Ciências, o que temos chamado de Sociologia Simétrica da Educação em Ciências ou Estudos da Educação em Ciência. A parte II (Estudos Empíricos) traz quatro artigos (dois sobre as relações entre artigos seminais e livros de ensino superior e dois sobre as relações entre artigos seminais, livros de ensino superior e livros de ensino médio). O primeiro estudo empírico traz uma análise metalinguística do artigo original de Einstein de 1905 em que o quantum é articulado pela primeira vez sem que se precisasse recorrer a nenhum laboratório. No segundo artigo, apresentamos uma análise conceitual e matemática dos artigos de de Broglie e usamos as ideias de Latour para discutir o papel dos livros didáticos na autonomização de sua teoria. No terceiro artigo, analisamos visões epistemológicas em livros didáticos de Física aprovados no Plano Nacional do Livro Didático do Ensino Médio de 2015. E, no quarto artigo, discutimos a narrativa sobre o fóton nesses livros a partir de uma articulação teórica entre ideias de Latour e Bakhtin. Nossos principais resultados apontam o papel articulador da matemática na estabilização de actantes físicos e o papel ativo dos autores de livros didáticos na estabilização do fóton a partir da hibridização de diferentes visões e do uso de mecanismos de causação reversa. / We present an investigation about the ontological stabilization of photon, an actant articulated initially in the context of the first Quantum Revolution. Departing from Bruno Latour’s Science Studies, we take Science as a network spread through different sectors of society and which deals with different speech genders. Besides of identifying the importance of the scientific gender (scientific papers) in the process of autonomation of scientific facts, we also recognize that, in the Physics community, textbooks play a crucial role in the establishment of traditional problems as well as hegemonic theories. Nowadays, someone can conclude an undergraduate course on Physics without having read any of the original papers about Quantum Physics. Furthermore, textbooks in Basic Education are responsible by the extension of the scientific network beyond laboratories, autotomizing actants like the photon in wider spheres of society, what Latour would call public representation. The goal of this research is to investigate the interaction among these three speech genders (original papers, undergraduate textbooks and high school textbooks) and to interpret how the ontological stabilization of photon is mediated by each of them. By doing so, we are extending Latour’s research program in at least three ways. First, we include the didactic context in the science network. Second, our objects of investigation are separated in time by a greater gap (about a hundred years). And third, while Latour studied chiefly the empirical sciences, our work is directed towards the Theoretical Physics, raising ontological questions that were not discussed by Latour. To allow this extension, the work is divided in two parts. Part I (Theoretical Framework) presents three papers about Bruno Latour’s ideas and the possibilities of their application in the research on Science Education, what we have called The Symmetric Sociology of Science Education. Part II (Empirical Studies) presents four papers (two about the relation between original papers and undergraduate textbooks and two about the relation between original papers and high school textbooks). The first empirical study presents a metalinguistic analysis of 1905 Einstein’s paper in which the quantum is articulated by the first time without requiring any laboratory trial. In the second paper, we present a conceptual and mathematical analysis of de Broglie’s papers and we use Latour’s ideas to discuss the role of textbooks in the atomization of his theory. In the third paper, we analyze the epistemological visions present in the Physics textbooks approved by the 2015 National Plan of Textbook. In the fourth paper, we discuss the narrative about the photon present in these books departing from a theoretical articulation between Latour’s and Bakhtin’s ideas. Our chief results point to the articulating role of mathematics in the stabilization of physical actants and the active role of textbooks authors in the stabilization of photon through the hybridization of different visions and the use of the mechanisms of reverse causation.

Este trabalho trata de estimativas inferiores para o primeiro autovalor do problema de Dirichlet para o Laplaciano para domínios relativamente compactos contidos em variedades riemannianas. Essas estimativas são obtidas com hipóteses sobre a curvatura seccional ou a curvatura de Ricci radial e a curvatura do bordo do domínio. / This paper deals of lower estimates for the first eigenvalue of the Dirichlet problem for the Laplacian for relatively compact domains contained in Riemannian manifolds. These estimates are obtained with assumptions on the sectional or Ricci radial curvature and the curvature of the boundary of the domain.

Apresentamos, nesta tese, uma investigação sobre a estabilização ontológica do fóton, um actante inicialmente articulado no contexto da primeira revolução da Física Quântica. Partindo dos Estudos da Ciência de Bruno Latour, entendemos a ciência como uma rede que se estende por diferentes setores da sociedade e que, portanto, lida com diferentes gêneros do discurso. Além de identificar a importância do gênero científico (artigos seminais) no processo de autonomização dos fatos científicos, também reconhecemos que, na comunidade da Física, os livros didáticos, ou manuais de instrução, tem papel crucial no estabelecimento dos problemas exemplares bem como das teorias hegemônicas, tanto que, hoje, é possível um físico se formar sem estudar os artigos originais sobre Física Quântica. Ademais, os livros didáticos de ciências da Educação Básica são, atualmente, responsáveis pela extensão da rede científica para além dos laboratórios, autonomizando actantes como o fóton em esferas mais amplas da sociedade, papel que Latour poderia chamar de representação pública. O objetivo desta pesquisa é investigar a interação entres esses três gêneros do discurso (artigos seminais, livros didáticos de ensino superior e livros didáticos de ensino médio) e interpretar como que a estabilização ontológica do fóton é mediada por cada um deles. Ao fazer isso, estamos estendendo o programa de pesquisa de Latour em, pelo menos, três sentidos. Primeiramente, incluímos o papel do contexto didático na rede da ciência. Segundo, nossos objetos de investigação estão separados por um intervalo temporal maior do que o usual (aproximadamente cem anos). E, por fim, enquanto Latour dedica-se, principalmente, ao estudo de ciências empíricas, nosso trabalho volta-se para assim chamada Física Teórica, levantando questões ontológicas não discutidas originalmente por Latour. Para dar conta dessa extensão, o presente trabalho está dividido em duas partes. A parte I (Referencial Teórico) traz três artigos sobre as ideias de Bruno Latour e as possibilidades de sua aplicação na pesquisa em Educação em Ciências, o que temos chamado de Sociologia Simétrica da Educação em Ciências ou Estudos da Educação em Ciência. A parte II (Estudos Empíricos) traz quatro artigos (dois sobre as relações entre artigos seminais e livros de ensino superior e dois sobre as relações entre artigos seminais, livros de ensino superior e livros de ensino médio). O primeiro estudo empírico traz uma análise metalinguística do artigo original de Einstein de 1905 em que o quantum é articulado pela primeira vez sem que se precisasse recorrer a nenhum laboratório. No segundo artigo, apresentamos uma análise conceitual e matemática dos artigos de de Broglie e usamos as ideias de Latour para discutir o papel dos livros didáticos na autonomização de sua teoria. No terceiro artigo, analisamos visões epistemológicas em livros didáticos de Física aprovados no Plano Nacional do Livro Didático do Ensino Médio de 2015. E, no quarto artigo, discutimos a narrativa sobre o fóton nesses livros a partir de uma articulação teórica entre ideias de Latour e Bakhtin. Nossos principais resultados apontam o papel articulador da matemática na estabilização de actantes físicos e o papel ativo dos autores de livros didáticos na estabilização do fóton a partir da hibridização de diferentes visões e do uso de mecanismos de causação reversa. / We present an investigation about the ontological stabilization of photon, an actant articulated initially in the context of the first Quantum Revolution. Departing from Bruno Latour’s Science Studies, we take Science as a network spread through different sectors of society and which deals with different speech genders. Besides of identifying the importance of the scientific gender (scientific papers) in the process of autonomation of scientific facts, we also recognize that, in the Physics community, textbooks play a crucial role in the establishment of traditional problems as well as hegemonic theories. Nowadays, someone can conclude an undergraduate course on Physics without having read any of the original papers about Quantum Physics. Furthermore, textbooks in Basic Education are responsible by the extension of the scientific network beyond laboratories, autotomizing actants like the photon in wider spheres of society, what Latour would call public representation. The goal of this research is to investigate the interaction among these three speech genders (original papers, undergraduate textbooks and high school textbooks) and to interpret how the ontological stabilization of photon is mediated by each of them. By doing so, we are extending Latour’s research program in at least three ways. First, we include the didactic context in the science network. Second, our objects of investigation are separated in time by a greater gap (about a hundred years). And third, while Latour studied chiefly the empirical sciences, our work is directed towards the Theoretical Physics, raising ontological questions that were not discussed by Latour. To allow this extension, the work is divided in two parts. Part I (Theoretical Framework) presents three papers about Bruno Latour’s ideas and the possibilities of their application in the research on Science Education, what we have called The Symmetric Sociology of Science Education. Part II (Empirical Studies) presents four papers (two about the relation between original papers and undergraduate textbooks and two about the relation between original papers and high school textbooks). The first empirical study presents a metalinguistic analysis of 1905 Einstein’s paper in which the quantum is articulated by the first time without requiring any laboratory trial. In the second paper, we present a conceptual and mathematical analysis of de Broglie’s papers and we use Latour’s ideas to discuss the role of textbooks in the atomization of his theory. In the third paper, we analyze the epistemological visions present in the Physics textbooks approved by the 2015 National Plan of Textbook. In the fourth paper, we discuss the narrative about the photon present in these books departing from a theoretical articulation between Latour’s and Bakhtin’s ideas. Our chief results point to the articulating role of mathematics in the stabilization of physical actants and the active role of textbooks authors in the stabilization of photon through the hybridization of different visions and the use of the mechanisms of reverse causation.

Technological development has significantly reduced the distance between the performance of systems designed using reconfigurable computing and dedicated hardware. The main sources of performance are the high density level of the FPGAs and the resources? improvement offered by manufacturers, who make more its use more attractive in a variety of applications, emphatically in systems that demand a high degree of flexibility. In this context, the objective of this work consists on the exploration of the resources offered by FPGAs for the development of a multiprocessed platform with the purpose of parallel execution of tasks. In this way, the eCos operating system was modified, with the addition of new characteristics to support of the Symmetric Multiprocessing model, using three soft-Core Altera Nios II processors. On this operating system, all parallelism is directly related to execution of the threads. This platform was analyzed and validated through the execution of parallel algorithms, emphasizing aspects of performance and flexibility compared to other architectures. This work contributes for reaching better results in the execution of tasks in robotics area, which belongs to a domain that demand great competition of tasks, mainly in modules that involve interaction with the external environment / Technological development has significantly reduced the distance between the performance of systems designed using reconfigurable computing and dedicated hardware. The main sources of performance are the high density level of the FPGAs and the resources? improvement offered by manufacturers, who make more its use more attractive in a variety of applications, emphatically in systems that demand a high degree of flexibility. In this context, the objective of this work consists on the exploration of the resources offered by FPGAs for the development of a multiprocessed platform with the purpose of parallel execution of tasks. In this way, the eCos operating system was modified, with the addition of new characteristics to support of the Symmetric Multiprocessing model, using three soft-Core Altera Nios II processors. On this operating system, all parallelism is directly related to execution of the threads. This platform was analyzed and validated through the execution of parallel algorithms, emphasizing aspects of performance and flexibility compared to other architectures. This work contributes for reaching better results in the execution of tasks in robotics area, which belongs to a domain that demand great competition of tasks, mainly in modules that involve interaction with the external environment

Este trabalho trata de estimativas inferiores para o primeiro autovalor do problema de Dirichlet para o Laplaciano para domínios relativamente compactos contidos em variedades riemannianas. Essas estimativas são obtidas com hipóteses sobre a curvatura seccional ou a curvatura de Ricci radial e a curvatura do bordo do domínio. / This paper deals of lower estimates for the first eigenvalue of the Dirichlet problem for the Laplacian for relatively compact domains contained in Riemannian manifolds. These estimates are obtained with assumptions on the sectional or Ricci radial curvature and the curvature of the boundary of the domain.

Orientador: Jose Plinio de Oliveira Santos, Marcio Antonio de Faria Rosa / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica / Made available in DSpace on 2018-08-08T09:04:51Z (GMT). No. of bitstreams: 1 Silva_Robsonda_M.pdf: 1769033 bytes, checksum: 1d7dfaf76d2a38bd63024d4910459fc3 (MD5) Previous issue date: 2007 / Resumo: Este trabalho está dividido em duas partes. Na primeira, apresentamos as funções simétricas: o espaço vetorial das funções simétricas sobre os números racionais, algumas bases, um produto escalar e as chamadas funções (simétricas) de Schur. Na segunda parte, exibimos algumas das muitas aplicações desta teoria: no estudo dos caracteres das representações do grupo simétrico; nas partições planas; na enumeração de permutações; na enumeração sob a ação de grupos / Abstract: This work is divided in two parts. In the first one, we present the symmetric functions: the symmetric functions vector space over the field of the rational numbers, some bases, an inner product and the so called Schur (symmetric) functions. In the second part, we present some of the many aplications of this theory: in the study of the characters of the symmetric group's representations; in the plane partitions; in permutation enumeration; in the enumeration under group action / Mestrado / Matematica / Mestre em Matemática

Os modelos autoregressivos simétricos são modelos de regressão em que os erros são correlacionados -- AR(1) -- e pertencem à classe de distribuições simétricas. O objetivo deste trabalho é discutir métodos de diagnóstico de influência para esses modelos. Para ilustrar a metodologia, são apresentados exemplos do modelo de precificação de ativos (CAPM). / The symmetric autoregressive models are regression models in which the errors are correlated and belong to the class of symmetrical distributions. The aim of this work is to discuss influence diagnostic methods for those models. To illustrate the methodology, examples of Capital Asset Pricing Models (CAPM) are presented.

Submitted by Geandra Rodrigues (geandrar@gmail.com) on 2018-09-20T13:36:29Z No. of bitstreams: 1 sarahribeirodejesusferreira.pdf: 854513 bytes, checksum: bdb519074051d0889c62002f16fe1a8e (MD5) / Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2018-10-01T19:17:08Z (GMT) No. of bitstreams: 1 sarahribeirodejesusferreira.pdf: 854513 bytes, checksum: bdb519074051d0889c62002f16fe1a8e (MD5) / Made available in DSpace on 2018-10-01T19:17:08Z (GMT). No. of bitstreams: 1 sarahribeirodejesusferreira.pdf: 854513 bytes, checksum: bdb519074051d0889c62002f16fe1a8e (MD5) Previous issue date: 2018-08-13 / Nesse trabalho, apresentamos a teoria de representação básica do grupo simétrico e seus aspectos combinatórios. O objetivo principal desse trabalho é construir um conjunto completo de representações irredutíveis e não equivalentes do grupo simétrico, em termos da sua partição e conceitos combinatórios relacionados com o tableau de Young. Veremos que esse objeto combinatório nos fornecerá duas maneiras de descrever as representações irredutíveis do grupo simétrico, uma via politablóides e uma alternativa via idempotentes da álgebra de grupo, e que, na verdade, essas duas abordagens são isomorfas. Iremos abordar alguns resultados interessantes, como a regra de Young, a regra da ramificação e o algoritmo combinatório da correspondência de Robinson-Schensted. / In this work, we present the basic representation theory of the symmetric group and its combinatorial aspects. The main objective of this work is to construct a complete set of irreducible and inequivalent representations of the symmetric group, in terms of its partition and combinatorial concepts related to Young’s tableau. We will see that this combinatorial object will provide us two ways of describing the irreducible representations of the symmetric group, a politabloid pathway, and an alternative via idempotent group algebra, and that, in fact, these two approaches are isomorphic. We will cover some interesting results, such as the Young’s rule, the branching rule, and the Robinson-Schensted’s combinatorial matching algorithm.

The biosynthesis of wax components containing secondary functional groups was investigated in the current study. Two fundamentally different pathways were proposed to introduce the secondary functional groups. One pathway involves hydroxylation of elongated substrates. Wax components characterized by two functional groups located on or near the centre of the carbon chain, nonacosane-14,15-diol, -14,16-diol and -13,15-diol as well as corresponding ketols were identified for the first time in Arabidopsis stem wax. The alkanediols and ketols were dominated by the C-14,15 isomers. The absence of alkanediols and ketols in Arabidopsis mah1 mutants that are deficient in secondary alcohol biosynthesis confirmed the biosynthetic relationship between secondary alcohols and alkanediols/ketols (Chapter 3). In pea (Pisum sativum) leaf wax, two novel compound classes were identified as primary/secondary alcohols dominated by octacosane-1,14-diol and secondary/secondary alkanediols hentriacontane-9,16-diol, -8,15-diol and -10,17-diol. Co-localization of the secondary/secondary alkanediols and hentriacontan-15-ol and -16-ol pointed to a biosynthetic relationship (Chapter 4). The diverse structures of compounds identified in the current study suggested that hydroxylases can use substrates other than alkanes. The predominance of isomers within homologues indicated a regiospecificity of the hydroxylases involved in wax biosynthesis. In addition to hydroxylation, secondary functional groups could also be introduced through elongation of carbon chains. Homologous series of 5-hydroxyaldehydes (C₂₄ and C₂₆-C₃₆) and 1,5-alkanediols (C₂₈-C₃₈) were identified in yew (Taxus baccata) needle wax. The relative position of both functional groups suggested that these two compound classes are biosynthetically related and their secondary functional groups are introduced during elongation (Chapter 5). The results of incubation of ¹⁴C-labeled malonyl-CoA and acyl-CoAs with different chain lengths in the presence of California poppy (Eschscholzia californica) microsomes provided the first evidence to support the elongation hypothesis. The results indicated that a carbonyl group rather than a hydroxyl group is introduced during elongation. To provide molecular tools for further investigations of the hypothetical pathway, three full length cDNAs encoding putative KCSs were cloned and one of them, PKCSI, was functionally characterized. / Science, Faculty of / Chemistry, Department of / Graduate