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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
321

Rigid motions on discrete spaces / Déplacements sur des espaces discrets

Pluta, Kacper 16 November 2017 (has links)
En géométrie discrète, les objets euclidiens sont représentés par leurs approximations discrètes, telles que des sous-ensembles du réseau des points à coordonnées entières. Les déplacements de ces ensembles doivent être définis comme des applications depuis et sur un espace discret donné. Une façon de concevoir de telles transformations est de combiner des déplacements continus définis sur un espace euclidien avec un opérateur de discrétisation. Cependant, les déplacements discrétisés ne satisfont souvent plus les propriétés de leurs équivalents continus. En effet, en raison de la discrétisation, de telles transformations ne préservent pas les distances, et la bijectivité et la connexité entre les points sont généralement perdues. Dans le contexte des espaces discrets 2D, nous étudions des déplacements discrétisés sur les réseaux d'entiers de Gauss et d'Eisenstein. Nous caractérisons les déplacements discrétisés bijectifs sur le réseau carré, et les rotations bijectives discrétisées sur le réseau hexagonal régulier. En outre, nous comparons les pertes d'information induites par des déplacements discrétisés non bijectifs définis sur ces deux réseaux. Toutefois, pour des applications pratiques, l'information pertinente n'est pas la bijectivité globale, mais celle d'un déplacement discrétisé restreint à un sous-ensemble fini donné d'un réseau. Nous proposons deux algorithmes testant cette condition pour les sous-ensembles du réseau entier, ainsi qu'un troisième algorithme fournissant des intervalles d'angles optimaux qui préservent cette bijectivité restreinte. Nous nous concentrons ensuite sur les déplacements discrétisés sur le réseau cubique 3D. Tout d'abord, nous étudions à l'échelle locale des défauts géométriques et topologiques induits par des déplacements discrétisés. Une telle analyse consiste à générer toutes les images d'un ensemble du réseau fini sous des déplacements discrétisés. Un tel problème revient à calculer un arrangement d'hypersurfaces dans un espace de paramètres de dimension six. La dimensionnalité et les cas dégénérés rendent le problème insoluble, en pratique, par les techniques usuelles. Nous proposons une solution ad hoc reposant sur un découplage des paramètres, et un algorithme pour calculer des points d'échantillonnage de composantes connexes 3D dans un arrangement de polynômes du second degré. Enfin, nous nous concentrons sur le problème ouvert de déterminer si une rotation discrétisée 3D est bijective ou non. Dans notre approche, nous explorons les propriétés arithmétiques des quaternions de Lipschitz. Ceci conduit à un algorithme qui détermine si une rotation discrétisée donnée, associée à un quaternion de Lipschitz, est bijective ou non / In digital geometry, Euclidean objects are represented by their discrete approximations, e.g. subsets of the lattice of integers. Rigid motions of such sets have to be defined as maps from and onto a given discrete space. One way to design such motions is to combine continuous rigid motions defined on Euclidean space with a digitization operator. However, digitized rigid motions often no longer satisfy properties of their continuous siblings. Indeed, due to digitization, such transformations do not preserve distances, while bijectivity and point connectivity are generally lost. In the context of 2D discrete spaces, we study digitized rigid motions on the lattices of Gaussian and Eisenstein integers. We characterize bijective digitized rigid motions on the integer lattice, and bijective digitized rotations on the regular hexagonal lattice. Also, we compare the information loss induced by non-bijective digitized rigid motions defined on both lattices. Yet, for practical applications, the relevant information is not global bijectivity, but bijectivity of a digitized rigid motion restricted to a given finite subset of a lattice. We propose two algorithms testing that condition for subsets of the integer lattice, and a third algorithm providing optimal angle intervals that preserve this restricted bijectivity. We then focus on digitized rigid motions on 3D integer lattice. First, we study at a local scale geometric and topological defects induced by digitized rigid motions. Such an analysis consists of generating all the images of a finite digital set under digitized rigid motions. This problem amounts to computing an arrangement of hypersurfaces in a 6D parameter space. The dimensionality and degenerate cases make the problem practically unsolvable for state-of-the-art techniques. We propose an ad hoc solution, which mainly relies on parameter uncoupling, and an algorithm for computing sample points of 3D connected components in an arrangement of second degree polynomials. Finally, we focus on the open problem of determining whether a 3D digitized rotation is bijective or not. In our approach, we explore arithmetic properties of Lipschitz quaternions. This leads to an algorithm which answers whether a given digitized rotation—related to a Lipschitz quaternion—is bijective or not
322

De la ville soviétique à la ville postsoviétique : transformations sociales et culturelles à Almaty (Kazakhstan) / From Soviet to post-Soviet city : social and cultural transformations in Almaty (Kazakhstan)

Panicciari, Giulia 17 March 2014 (has links)
En Asie centrale la construction soviétique s’est avérée difficile, puisqu’elle impliquait la transformation radicale des sociétés locales. Cette thèse va montrer comment les 70 ans de pouvoir soviétique ont changé pour toujours la société, l’économie et la culture du Kazakhstan. Une attention particulière est donnée à la population kazakhe à partir des premières années soviétiques, jusqu’aux années 2000, à leurs parcours dans la capitale soviétique et ensuite dans la métropole contemporaine. Cette thèse aborde les questions comme la rencontre des anciens nomades Kazakhs avec les Russes dans l’espace urbain, le rôle de l’ethnicité et de la culture locale dans les transformations promues par le pouvoir soviétique et, ensuite, dans le processus de construction nationale. La reconstruction de l’histoire sociale de la communauté urbaine, avec l’aide des archives et d’entretiens approfondis, nous révèle une société complexe qui a su adapter la culture locale et celle soviétique en créant sa propre version du soviétisme. Notre thèse suppose que dans ce contexte, les questions sociales liées à l’urbanisation, qui se perpétuent jusqu’à la fin de l’URSS, influenceront considérablement les transformations d’après 1991 et que sans une bonne attention à l’univers local, nous ne pouvons pas comprendre le passé soviétique en Asie centrale, ni les transformations récentes. Dans la ville, le pouvoir soviétique et ensuite celui du président kazakh Nazarbaev contribuent à construire des espaces publics et une mémoire urbaine qui racontent la modernité du peuple kazakh. Notre recherche montre que la ville est un cas d’étude utile pour développer un discours plus ample concernant les sociétés et les cultures du monde. / In Central Asia the imposition of the Soviet State proved to be difficult, as it implied the radical transformation of local societies. This dissertation shows how 70 years of Soviet power changed forever Kazakhstan’s society, economy and culture. Its focuses in particular on the Kazakh people starting from the first Soviet years to the 2000s, and on their journey towards the Soviet capital and later towards a contemporary metropolis. This dissertation approaches questions such as the encounter of the ex Kazakh nomads with the Russians in the urban space, the role of ethnicity and of the local culture in the transformations promoted by the Soviet State and, later, in the process of nation building. The reconstruction of the social history of the urban community, with the aid of archives and in-depth interviews, reveals a complex society which adapted the local culture and the Soviet one to create its own version of Sovietism. My dissertation argues that in such context, social questions connected to the urbanization, which remain actual till the end of the Soviet Union, will affect considerably the transformations after 1991 and that if we do not pay the just attention to the local universe, we cannot understand the Soviet past in Central Asia, neither the recent changes. In the city, the Soviet power and, later, that of Kazakh President Nazarbaev, contribute to the construction of public spaces and of urban memory telling about the modernity of the Kazakh people. The city is, as I put it in my research, is a useful case study to develop broader questions regarding world cultures and societies.
323

Influência dos teores de Nb e Zr e do processamento sobre a microestrutura e propriedades mecânicas de ligas U - Nb - Zr. / Influence of Nb and Zr contents and for thermomechanical processing over the microstructure and mechanical properties of U-Nb-Zr alloys.

Morais, Nathanael Wagner Sales 22 January 2018 (has links)
Ligas de Urânio são candidatas ao uso como combustível nuclear em reatores avançados, dentre essas ligas se destacam as ligas de Urânio com Nióbio e com Zircônio. Este trabalho investigou como os teores de Nb e Zr, assim como a processamento termomecânico afetam as microestruturas e as propriedades mecânicas de 3 ligas U-XNb-YZr onde X+Y=12. Duas amostras contendo 50g cada, foram fabricadas através de fusão à plasma nos teores U-3Nb-9Zr (liga 39), U- 6Nb-6Zr (liga 66) e U-9Nb-3Zr (liga 93). Uma das amostras de cada liga foi tratada termicamente por 5h a 1000°C para a realização de homogeneização química. A amostra homogeneizada e a amostra bruta de fusão de cada liga foram conjuntamente encapsuladas em aço para a realização de laminação a quente seguida de um recozimento final a 1000°C por 2h. À rota adotada pela amostra bruta de fusão chamou-se \" Rota C\" e a rota adotada pela amostra homogeneizada chamou-se \"Rota H\". A caracterização microestrutural foi feita por microscopia óptica e eletrônica de varredura. Todas as amostras, independente do processamento, apresentaram precipitados ricos em Nióbio e Zircônio em adição a uma matriz rica em Urânio. A caracterização das amostras brutas de fusão mostra que os teores de elementos de liga influenciam diretamente a morfologia das dendritas evidentes na microestrutura assim como das demais fases presentes em cada amostra. A liga 39 apresentou predominantemente fase ?\', a liga 66 a fase ?\" com traços de fase y e a liga 93 a fase y com traços de fase ?\". Após o tratamento térmico de homogeneização, a liga 39 apresentou fase ?\" na forma celular enquanto a liga 66 apresentou as fases y0 e y e a liga 93 apresentou apenas fase y. As propriedades mecânicas das ligas foram avaliadas por ensaios de dureza e de dobramento simples. As amostras da Rota C apresentaram redução de dureza em relação à condição inicial. Todas as microestruturas das amostras laminadas a quente exibiram duas fases ricas em U. A liga 39 apresentou as fases ?\" na forma celular e ?\' após a laminação a quente. Após o recozimento final na rota C, a liga 39 apresentou fase ?\" na forma acicular enquanto as ligas 66 e 93 apresentaram as fases ?\" e y após a laminação e fase y. A fração de área da amostra pobre em U elevou-se nas ligas 39 e 66 e reduziu-se na liga 93. As amostras da Rota H apresentaram redução de dureza em relação à condição bruta de fusão. A liga 39 apresentou fase ?\" na forma celular com orientação e traços da fase ?, a liga 66 exibiu as fases y0 e y e a liga 93 as fases y e y0. Após o recozimento final, a liga 39 mostrou-se novamente na forma ?\" na forma celular, mas sem orientação. A liga 66 apresentou fase y e a liga 93 fase y0. Os testes de dobramento simples mostraram que as ligas da Rota C exibem plasticidade, retendo parte da deformação plástica após a ruptura das amostras testadas. Já as amostras da Rota H mostraram comportamento super elástico, possibilitando maiores deformações mas sem reter deformação plástica após a ruptura das amostras. A melhor relação entre deformação total e residual foi observada na liga 93 fabricada pela Rota C. As análises nos perfis de fratura das amostras da Rota C mostram fraturas transgranulares em todas as amostras. O perfil de fratura de na amostra recozida liga 39 mostra que a fase ?\" na forma acicular tende a deforma-se por deslizamento. As análises dos perfis de fratura nas amostras da Rota H confirmaram a ausência de deformação plástica mesmo em escala microscópica. Para essa condição, a fase ?\" na forma celular com orientação (liga 39) aparenta deformar-se por maclação. As análises de superfície de fratura indicam que a fase pobre em U tem participação durante o processo de crescimento e propagação da fratura na Rota H, atuando como caminho para bifurcação de trincas acelerando o processo de ruptura, enquanto na Rota C, a fase pobre em U deforma-se conjuntamente com a matriz de U. Em uma segunda etapa do trabalho, a estabilidade das microestruturas resultantes na amostras processadas foi investigada por Ensaios de Calorimetria Diferencial Exploratória (DSC) e por calorimetria de queda livre (esta apenas para a amostra 93 da rota H). O teor de Nb e Zr também afeta a estabilidade das fases presentes em cada amostra. foram realizados com as amostras da condição homogeneizada e laminada. A quantidade de transformações assim como o estado final de cada liga diferiu de acordo com a razão Nb/Zr. Após o ciclo de aquecimento e resfriamento da análise térmica, a liga 39 apresentou fase ?\', a liga 66 fase ?\" e a liga 93 fase y. No ensaio de calorimetria por queda livre foi possível observar as diferentes etapas de reação de envelhecimento da matriz g, correspondendo a à transformação y -> y0 (entre 525 e 530 K), a transformação y -> ?\". (entre 623 e 651 K) e à transformação y\' -> y3+? (entre 825 e 925 K). / Uranium alloys are candidates to be used as nuclear fuel in research reactors, among the U alloys, the Nb and Zr containing alloys are promising. This work evaluated how the Nb and Zr content and the thermomechanical processing affects the microstructure and mechanical properties of 3 alloys U-XNb-YZr were X+Y=12. Two 50g slugs of each sample were fabricated using plasma arc melting according to U-3Nb-9Zr (alloy 39), U-6Nb-6Zr (alloy 66) and U-9Nb-3Zr (alloy 93). One slug of each alloy was heat treated for 5h at 1000°C to perform the chemical homogenization. The homogenized sample and the as-cast one were encapsulated in the same steel frame in order to perform hot rolling. After the rolling process, the samples were annealed by 2h at 1000°C. The route that uses only as-cast samples was nominated \"Route C\" and the route that uses the homogenized sample was nominated \"Route H\". The microstructural characterization was performed by optical and scanning electron microscopy. All samples, regardless the processing route, presented Nb and Zr rich precipitates in addition to U rich matrix. The characterization of as-cast samples shows that the content of the alloying element has a direct influence on dendrite morphology as in the phases presented for each alloy. The alloy 39 presented predominantly ?\' phase, the alloy 66 the ?\" phase with a small quantity of ? phase and the alloy 93 presented the ? phase with small quantity of ?\" phase. Afte the homogenization, the alloy 39 presented cellular ?\" phase, the alloy 66 presented ?0 and ?, the alloy 93 presented only ? phase. The mechanical properties were evaluated by hardness measurements and free bending tests. The Route C samples presented hardness reduction in comparison to the initial condition. All microstructures of hot-rolled samples of this route exhibit two U rich phases. The alloy 39 exhibited cellular ?\" and ?\', after the final annealing the alloy 39 presented acicular ?\". The alloys 66 and 93 exhibited ?+?\" after hot rolling and ? phase after the final annealing. The area fraction of poor U phase increased in the alloys 39 and 66, but reduced in alloy 93. The Route H samples presented hardness reduction in comparison to as-cast samples. The alloy 39 presented cellular oriented ?\" phase and a small quantity of ? phase. The alloy 66 exhibited ?0 and ?, the alloy 93 ? and ?0. After the final annealing, the alloy 39 presented the ?\" again, but without orientation. The alloy 66 presented ? phase and the alloy 93 presented ?0. The free bending tests show that Route C samples have real plasticity, retaining part of deformation after rupturing as plastic strain. The Route H samples exhibited superelastic behavior, allowing higher deformations but retaining no plastic strain after sample breaking. The better balance between total and residual strain was observed in alloy 93 fabricated by Route C. The cracking profile analysis of Route C samples shows transgranular fractures in all samples. The Cracking profile of final 39 sample shows that acicular ?\" tends to deform by slipping. The cracking profile analysis of Route H samples confirmed the absence of plasticity even on the microscopic scale. This condition, the oriented cellular ?\" phase (alloy 39) apparently deforms by twinning. The crack surface analysis indicates that the U poor phase has a direct participation in crack growing and propagation, acting as forking points to the fracture and accelerating the fracture process. In the Route C samples, the poor U phase deforms alongside the U matrix. The stability of resulting microstructures of homogenized and hot rolled samples was investigated by Differential Scanning Calorimetry (DSC) and Drop Differential Scanning Calorimetry (only for the homogenized hot rolled 93 sample). The Nb and Zr also affect the stability of present phases in each sample. The number of transformations and the final structure is directly influenced by the Nb/Zr ratio. After the thermal cycle imposed by the DSC analysis, the alloy 39 exhibited ?\' phase, the alloy 66 exhibited ?\" phase and the alloy 93 exhibited ? phase. The Drop-DSC allowed observing the different stages of reaction in ? matrix, corresponding to ? -> ?0 (between 525 and 530 K), ? -> ?\" transformation (between 623 and 651 K) and ?\' -> ?3+? transformation (between 825 and 925 K).
324

Utilizing Platforms for the Observation of Chemical Transformations to Surface-Bound Noble Metal Nanoparticles in Environmentally Relevant Conditions

Glover, Richard 11 July 2013 (has links)
Nanoparticles are increasingly incorporated into consumer products because of their unique, size-dependent properties. Although these properties are commercially appealing, data are lacking regarding the fate and reactivity of nanoparticles once incorporated into materials. This information gap prevents accurate assessment of hazards that these materials potentially present to consumers and the environment. To address this concern, new research is needed to investigate the reactivity and transformations of nanoparticles. This dissertation describes the use of an electron transparent characterization platform to observe nanoparticle transformations. Nanoparticles were tethered to the surface of an analysis platform, exposed to a variety of conditions, and evaluated for reactivity and response. The characterization of silver nanoparticles revealed the generation of new daughter nanoparticles on surfaces in ambient humid conditions. Our observations showed that the transport of material is highly dependent on relative humidity and that pH equilibria drives the deposition of new particles and degradation. We discovered, by applying these findings to macro-silver objects, that bulk silver generates new nanoparticles on surfaces. This illuminated the possibility of other, yet undiscovered, naturally occurring nanoparticles. In the second model system, 1.5 nm gold nanoparticles were tethered by a robust metal oxide bond from the terminal group of the stabilizing ligand. This strategy facilitated precise control over thiol ligand removal using a dilute ozone oxidation. Tracking particle oxidation over time allowed us to gain unprecedented control over core exposure, size maintenance, and surface tethering. This platform was also utilized as a proof-of-concept for direct observation of transformations in complex media. Ligand and core transformations were monitored in a variety of biologically relevant conditions using tethered nanoparticles. Morphological and chemical transformations were characterized and correlated to results from solution monitoring. The use of a platform based approach to evaluating the reactivity of nanoparticles in the environment holds promise for evaluations of nanoparticles and their transformation products. The demonstration of monitoring reactivity in systems equilibria, carefully controlled transformations, or complex media shows the versatility of this strategy. Only through the use of this analysis platform was the direct observation of nanoparticle transformations possible. This dissertation includes previously published, unpublished, and co-authored materials. / 10000-01-01
325

A Riemannian Geometric Mapping Technique for Identifying Incompressible Equivalents to Subsonic Potential Flows

German, Brian Joseph 05 April 2007 (has links)
This dissertation presents a technique for the solution of incompressible equivalents to planar steady subsonic potential flows. Riemannian geometric formalism is used to develop a gauge transformation of the length measure followed by a curvilinear coordinate transformation to map a subsonic flow into a canonical Laplacian flow with the same boundary conditions. The method represents the generalization of the methods of Prandtl-Glauert and Karman-Tsien and gives exact results in the sense that the inverse mapping produces the subsonic full potential solution over the original airfoil, up to numerical accuracy. The motivation for this research was provided by the analogy between linear potential flow and the special theory of relativity that emerges from the invariance of the wave equation under Lorentz transformations. Whereas elements of the special theory can be invoked for linear and global compressibility effects, the question posed in this work is whether other techniques from relativity theory could be used for effects that are nonlinear and local. This line of thought leads to a transformation leveraging Riemannian geometric methods common to the general theory of relativity. The dissertation presents the theory and a numerical method for practical solutions of equivalent incompressible flows over arbitrary profiles. The numerical method employs an iterative approach involving the solution of the incompressible flow with a panel method and the solution of the coordinate mapping to the canonical flow with a finite difference approach. This method is demonstrated for flow over a circular cylinder and over a NACA 0012 profile. Results are validated with subcritical full potential test cases available in the literature. Two areas of applicability of the method have been identified. The first is airfoil inverse design leveraging incompressible flow knowledge and empirical data for the potential field effects on boundary layer transition and separation. The second is aerodynamic testing using distorted models.
326

Efficient image restoration algorithms for near-circulant systems

Pan, Ruimin, Reeves, Stanley J. January 2007 (has links) (PDF)
Dissertation (Ph.D.)--Auburn University, 2007. / Abstract. Vita. Includes bibliographic references (p.111-117).
327

XAFS study of the pressure induced B1->B2 phase transition /

Kelly, Shelly D. January 1999 (has links)
Thesis (Ph. D.)--University of Washington, 1999. / Vita. Includes bibliographical references (p. [151]-156).
328

Droit social et incitations : contribution à l’étude des transformations de la normativité juridique / Social law and incentives : contribution to the study of changes in the legal normativity

Leroy-Arlaud, Sonia 12 December 2014 (has links)
La notion d'incitation est au cœur des théories économiques modernes. Elle vise à obtenir des agents concernés un certain comportement par la promesse d’une récompense, comportement qu'il n'aurait pas été rationnel pour eux d’adopter sans la présence de cet avantage. En tant que dispositif juridique, l’incitation peut être définie comme un mécanisme cherchant à orienter le comportement de ses destinataires dans un sens déterminé, par la promesse d’une contrepartie avantageuse. Ces dispositifs incitatifs se développent dans l’ensemble des matières juridiques. Il est toutefois un domaine particulier du droit dans lequel il est particulièrement intéressant à étudier : le droit social. Si le législateur laisse au destinataire de la règle le choix d’adopter ou non le comportement incité, il n’en compte pas moins sur le raisonnement rationnel de ce dernier qui devrait se laisser convaincre par la perspective de l’avantage promis. Il est donc improbable, a priori, de trouver ce type de règles dans les matières largement régies par des dispositions d’ordre public.À travers l’analyse du dispositif juridique incitatif dans un domaine aussi vaste et complexe que le droit social, c’est en définitive à une étude des transformations de la normativité juridique que nous nous livrons. Cet instrument des conduites juridiques, si particulier et pourtant si présent dans le droit, donne à voir toute la richesse que peut offrir le droit, en même temps qu’il révèle les dédales obscurs que doivent parcourir ses élaborateurs pour produire, sans effets pervers, les effets escomptés. / The concept of incentive is at the heart of modern economic theories. It aims to get involved some behavior by the promise of a reward, behavior that would not be rational for agents to adopt without the presence of this advantage. As a legal rule, the incentive can be defined as a mechanism seeking to guide the behavior of its recipients in a given direction, with the promise of a reward. These incentives are developed in all legal matters. However, it is a particular area of law in which they are particularly interested to study: social law. If the legislature let the recipient free to adopt or not the behavior encouraged, it does not count less on rational reasoning. It is unlikely to find such rules in matters largely governed by the public order.Through the analysis of the incentive legal system in an area as vast and complex as the social law, it is a study of the transformation of legal normativity that we deliver. This legal instrument gives to see the richness that can provide the law at the same time it reveals the several ways its developers have to take to produce the expected effects.
329

Representações dos Números Complexos e Transformações de Möbius / Representations of Complex Numbers and Möbius Transformations

Calister, Fernando Marques [UNESP] 19 August 2016 (has links)
Submitted by FERNANDO MARQUES CALISTER null (fcalister@gmail.com) on 2016-10-02T01:33:35Z No. of bitstreams: 1 Representações dos Números Complexos e Transformações de Mobius.pdf: 617587 bytes, checksum: e9bbc4361adf7d335874ab0c7f3fdc3f (MD5) / Approved for entry into archive by Ana Paula Grisoto (grisotoana@reitoria.unesp.br) on 2016-10-05T16:28:55Z (GMT) No. of bitstreams: 1 calister_fm_me_sjrp.pdf: 617587 bytes, checksum: e9bbc4361adf7d335874ab0c7f3fdc3f (MD5) / Made available in DSpace on 2016-10-05T16:28:55Z (GMT). No. of bitstreams: 1 calister_fm_me_sjrp.pdf: 617587 bytes, checksum: e9bbc4361adf7d335874ab0c7f3fdc3f (MD5) Previous issue date: 2016-08-19 / O objetivo deste trabalho é ampliar os conhecimentos sobre números complexos já adquiridos no ensino médio. Diversas formas de representação e propriedades operatórias são abordadas. Para este fim, primeiramente, os números complexos são definidos a partir do conceito de matrizes quadradas de ordem 2, e portanto, serão definidos como pares ordenados de números reais. Na sequência, a partir da apresentação geométrica dos conceitos e operações, é estudado o plano complexo estendido, as Transformações de Möbius e a Projeção Estereográfica. / The objective of this paper is to extend the concepts of complex numbers already acquired in high school. Many forms of representation and operative properties are used. For that, first, the complex numbers are defined from the concept of square matrices of order 2, and will therefore be defined as ordered pairs of real numbers. Following, from the geometric presentation of concepts and operations, it is studied the extended complex plane, the Möbius Transformations and the Stereographic Projection.
330

L'expérience artistique en prison : d'une triple inertie à l'expérimentation de transformations sociales / The artistic experience in prison : from a triple inertia to the experimentation of social transformations

Delannoy, Leïla 03 March 2017 (has links)
Cette recherche, menée dans le cadre d'un doctorat de sociologie sous la direction de Philippe Combessie, repose principalement sur une enquête de 24 mois dans des ateliers de création artistique installés dans la maison d’arrêt pour hommes du centre pénitentiaire de Marseille, que nous avons conjuguée à une enquête de 13 mois dans le centre éducatif fermé de Montfavet. Le travail engagé a surtout reposé sur la volonté d'examiner le maillage entre art, prison et société, considérant finalement que l'enfermement le plus visible pouvait, quand il devenait le point central d'une expérience artistique de collaboration entre le dedans et le dehors, permettre de mener une réflexion sur d'autres types de cloisonnements à l’oeuvre dans la société. Prenant appui sur un dispositif de création collaborative, développé avec des groupes de participants incarcérés et de la société civile, nous nous sommes questionnée sur son sens, ses fonctions, ses effets, à trois niveaux : individuel, institutionnel et sociétal. Nous avons envisagé cette action artistique comme un terrain d’expérimentation de transformations multiples et avons élaboré comme point d’appui conceptuel la notion de triple inertie. Il nous fallait alors tenter une analyse qui ne compartimente pas les impacts en fonction des différents champs de répercussion, s'appuyant sur une perspective d'analyse des agencements préexistants et des réagencements produits. C'est ainsi qu'a émergé une problématique centrale, constituant une armature pour structurer l'ensemble des questions que nous souhaitions abordées dans ce travail, et qui peut ainsi se formuler : en quoi l'expérience artistique collaborative en prison, dans une dynamique transformative, constitue une mise en mouvement et un dépassement des inerties et frontières carcérales à trois niveaux indissociables, individuel, institutionnel et sociétal? / This research, led for the purpose of a PhD in sociology under the supervision of Philippe Combessie, is based on a 24 months long study in the artistic experience workshops set up inside the Marseille correctional institution, combined with a 13 months study in Montfavet’s closed educative center. The work that has been undertaken rested upon the ability to examine the links between, art, prison and society, arguing that the most visible imprisonment can, when it becomes the central point of an artistic experience of collaboration between the inside and the outside, give the possibility to think of new forms of confinement at work in society. This project was developed according to an apparatus of collaborative creation established with various groups of participants that were either in custody or coming from civil society. Its meaning, its functions, and its effects, were questioned on three levels: individual, institutional, and societal. This artistic action came about as a space of experimentation for various transformations and gave the possibility to coin the notion of triple inertia, hereby used as conceptual tool. It was important to bring about an analysis that did not divide the impacts in terms of the various fields of repercussion, and instead, relied on an analysis of both pre-existing layouts, and the new forms of layouts produced. That is how the central issue emerged, becoming the framework that would structure the totality of the questions that were to be discussed in this work, and that can be stipulated as such: How does the collaborative artistic experience in prison, through a transformative dynamic, constitute a movement as well as an overcoming of inertias and prison frontiers on three inseparable levels, individual, institutional and societal.

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