Thesis (Ph. D.)--University of Wisconsin--Madison, 1955. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 139-147).

Thesis (Ph. D.)--State University of New York at Binghamton, Department of Mathematical Sciences, 2005. / Includes bibliographical references.

Thesis (Ph. D.)--University of Chicago, Dept. of Mathematics, June 2001. / Includes bibliographical references. Also available on the Internet.

Made available in DSpace on 2014-06-11T19:27:09Z (GMT). No. of bitstreams: 0 Previous issue date: 2012-10-09Bitstream added on 2014-06-13T20:55:47Z : No. of bitstreams: 1 castro_rb_me_rcla.pdf: 774630 bytes, checksum: b9499068a589a33827880e026c206fd9 (MD5) / Neste projeto tratamos da Geometria Projetiva advinda da generalização da Geometria Afim do Plano Euclidiano. Estabelecemos um Sistema Axiomático para a Geometria Projetiva e provamos resultados de sustentabilidade para esta geometria, sobretudo resultados sobre Perspectivas e Projeções. Também exploramos Cônicas dentro deste contexto. O principal livro usado como referência deste trabalho foi [1] de Judith Cederberg e como textos auxiliares consultaremos [2] e [3] / This project dealt with the Projective Geometry arising from the generalization of the Affine Geometry of the Euclidean Plane. Established an Axiomatic System for Projective Geometry and prove sustainability outcomes for this geometry, particularly on results Prospects and Projections. We also explored conics within this context

Orientador: Marcos Vieira Teixeira / Resumo: O presente trabalho discorre a respeito de dois textos do arquiteto e matemático francês Girard Desargues. As obras que aqui chamamos de Método de Perspectiva (1636) e Brouillon Project (1639), foram desenvolvidas em um período com ampla produção teórica relacionada a técnicas de representação. No trabalho de 1636 Desargues descreveu o processo necessário para representar uma gaiola em perspectiva. No trabalho, Brouillon Project, ele trata de propriedades geométricas envolvendo feixe de retas aproximando-se dos conceitos existentes no campo das projeções de figuras, contudo parte das referências utilizadas, como Chasles, Poudra, Taton, entre outros, consideraram que o Brouillon Project foi um trabalho relacionado as seções cônicas. Nosso objetivo é apresentar uma análise envolvendo os conteúdos geométricos explorados nas duas obras citadas com o intuito de relacioná-las com o campo da perspectiva e projeção de figuras. Para isso, desenvolvemos uma pesquisa em história da matemática envolvendo história perspectiva, história da geometria, forma de produção do conhecimento daquele período, em conjunto com teorias que estavam sendo produzidas até o séc. XVII / Abstract: The present work deals with two texts of the French architect and mathematician Girard Desargues. The works that we call the Method of Perspective (1636) and Brouillon Project (1639) were developed in a period with a large theoretical production related to representations of figures in perspective. In the work of 1636 Desargues described the process necessary to represent a cage in perspective. At work, Brouillon Project, he dealt with geometric properties involving beam of straight lines approaching the existing concepts in the field of projections of figures. However, some of the references used, such as Chasles, Poudra, Taton, and others, consider that the Brouillon Project was a work related to the conic sections. Our objective is to present a study involving the geometric contents explored in the two works mentioned, seeking to relate them to the field of perspective and projection of figures. For this, we developed a research in history of mathematics involving history, perspective, history of geometry, form of knowledge production of that period, together with theories that were being produced until the century. XVII / Mestre

Orientador: Elíris Cristina Rizziolli / Banca: Grazielle Feliciani Barbosa / Banca: Carina Alves / Resumo: Neste projeto tratamos da Geometria Projetiva advinda da generalização da Geometria Afim do Plano Euclidiano. Estabelecemos um Sistema Axiomático para a Geometria Projetiva e provamos resultados de sustentabilidade para esta geometria, sobretudo resultados sobre Perspectivas e Projeções. Também exploramos Cônicas dentro deste contexto. O principal livro usado como referência deste trabalho foi [1] de Judith Cederberg e como textos auxiliares consultaremos [2] e [3] / Abstract: This project dealt with the Projective Geometry arising from the generalization of the Affine Geometry of the Euclidean Plane. Established an Axiomatic System for Projective Geometry and prove sustainability outcomes for this geometry, particularly on results Prospects and Projections. We also explored conics within this context / Mestre

Let G be a split semisimple algebraic group over a field k. Our main objects of interest are twisted forms of projective homogeneous G-varieties. These varieties have been important objects of research in algebraic geometry since the 1960's. The theory of Chow motives and their decompositions is a powerful tool for studying twisted forms of projective homogeneous varieties. Motivic decompositions were discussed in the works of Rost, Karpenko, Merkurjev, Chernousov, Calmes, Petrov, Semenov, Zainoulline, Gille and other researchers. The main goal of the present thesis is to connect motivic decompositions of twisted homogeneous varieties to decompositions of certain modules over Hecke-type algebras that allow purely combinatorial description. We work in a slightly more general situation than Chow motives, namely we consider the category of h-motives for an oriented cohomology theory h. Examples of h include Chow groups, Grothendieck K_0, algebraic cobordism of Levine-Morel, Morava K-theory and many other examples. For a group G there is the notion of a versal torsor such that any G-torsor over an infinite field can be obtained as a specialization of a versal torsor. We restrict our attention to the case of twisted homogeneous spaces of the form E/P where P is a special parabolic subgroup of G. The main result of this thesis states that there is a one-to-one correspondence between h-motivic decompositions of the variety E/P and direct sum decompositions of modules DFP* over the graded formal affine Demazure algebra DF. This algebra was defined by Hoffnung, Malagon-Lopez, Savage and Zainoulline combinatorially in terms of the character lattice, the Weyl group and the formal group law of the cohomology theory h. In the classical case h=CH the graded formal affine Demazure algebra DF coincides with the nil Hecke ring, introduced by Kostant and Kumar in 1986. So the Chow motivic decompositions of versal homogeneous spaces correspond to decompositions of certain modules over the nil Hecke ring. As an application, we give a purely combinatorial proof of the indecomposability of the Chow motive of generic Severi-Brauer varieties and the versal twisted form of HSpin8/P1.

L’auteur propose de réfléchir au destin des pulsions agressives dans trois types de fonctionnement : le fonctionnement limite, le fonctionnement psychosomatique et le fonctionnement normalo-névrotique à partir d’une démarche psychodynamique s’appuyant sur le rorschach, l’analyse d’un entretien clinique de recherche et le questionnaire 16PF5. Cette étude se fonde sur une méthodologie du cas unique. Elle porte sur l’orientation de l’agir dans les deux premiers fonctionnements en lien avec l’organisation défensive et la nature de l’angoisse. De là, découle une hypothèse centrale : plus le fonctionnement psychique est marqué par une organisation défensive à dominante projective, plus les pulsions agressives sont externalisées par un agir comportemental associée à une angoisse bruyante et massive. Et a contrario, plus le fonctionnement défensif est marqué par une dominante répressive et inhibitrice, plus les pulsions agressives risquent de subir un destin les conduisant à l’agir somatique, associé à une angoisse non manifeste. / The author proposes to think about the aggressive drives final destinies into three types of intrapsychic functioning : the border-line state, the psychosomatic organization and the normalo-neurotic structure using a psychodynamique orientation centered on the Rorschach, and a clinical research interview associated with the 16PF5 questionary. This study was based on the “single case” methodology. Acting in or acting out are for us linked to the defensive orientation and the nature of anguish. Our main hypothesis is that a psychic functioning more projective is relation to externalization of agressive drives on acting out behaviours related to anguish expression. On the other hand, the more defensive style is affected by a repressive and a primary tendancy, the more the agressive drives are able to lead a somatic expression associated with a repressed anguish.

The problem of the present study was threefold: 1) to devise a projective drawing analysis technique which would assess the operationally defined psychoanalytic concepts of id, ego, and superego, 2) to devise a preliminary scoring technique, and 3) to investigate the relationship between the drawings and the original clinical scales of the Minnesota Multiphasic Personality Inventory.

As with all psychodiagnostic tests, before the "Draw-a-Group" can be considered a valuable instrument to the clinician, some basis for validity must be set. Although some research has been done on the "Draw-a-Group," sufficient validity has yet to be established. It is the purpose of this research to attempt to further establish the validity of the "Draw-a-Group." A related purpose is to attempt to further clarify which factors are related to interpersonal responsiveness.