Duality of osculating developables of projective curves

We give a description of the dual varieties of all developables of osculating linear spaces to a projective curve in terms of the higher order dual varieties of the curve, in arbitrary characteristic. We also determine for these varieties the inseparable degrees of the projections from the conormal varieties onto their dual varieties.

Partial projective representations and partial actions II

This paper is a continuation of Dokuchaev and Novikov (2010) [8]. The interaction between partial projective representations and twisted partial actions of groups considered in Dokuchaev and Novikov (2010) [8] is treated now in a categorical language. In the case of a finite group G, a structural result on the domains of factor sets of partial projective representations of G is obtained in terms of elementary partial actions. For arbitrary G we study the component pM'(G) of totally-defined factor sets in the partial Schur multiplier pM(G) using the structure of Exel's semigroup. A complete characterization of the elements of pM'(G) is obtained for algebraically closed fields. (C) 2011 Elsevier B.V. All rights reserved.

Feo, inútil, inestable: pensamiento crítico contemporáneo y procesos proyectivos en arquitectura = Ugly, useless, unstable: contemporary critical thought and projective processes in architecture

La presente tesis doctoral persigue dos objetivos simultáneos: Determinar el alcance de los criterios clásicos para la evaluación de arquitectura y poner en crisis la prevalencia de esos mismos criterios dentro del marco crítico y productivo actual. En concreto, esta tesis se interroga sobre la posible contribución de determinadas corrientes del pensamiento post-estructuralista y neo-materialista a las tareas de expansión y transformación de los criterios clásicos antes mencionados. Asimismo, se plantea la oportunidad de formalizar estas incorporaciones conceptuales como metodologías para el proyectar arquitectónico. La tesis emplea un análisis pormenorizado de las cualidades implícitas en la triada Firmitas, Utilitas, Venustas elaborada por Vitruvio como vehículo para calibrar la influencia de los paradigmas de pensamiento clásico en nuestras posiciones críticas contemporáneas. Como reacción al carácter dominante de dichos paradigmas, y con la ayuda de una compilación selectiva de ejemplos procedentes de los campos artístico y arquitectónico, la presente tesis procede a examinar y clasificar diversas estrategias arquitectónicas basadas en la no conformidad con los criterios clásicos de evaluación de la disciplina. A la hora de realizar esta tarea, y con el objetivo de superar el dualismo trascendental que caracteriza la gran mayoría de dichos criterios clásicos, se propone un modelo analítico y multidimensional que formula las instancias arquitectónicas como posibles posiciones dentro de un extenso continuo combinatorio de cualidades formales, estructurales y organizativas. Este modelo conceptual permite replantear el aparente antagonismo entre los principios de Vitruvio y sus opuestos, estableciendo en su lugar un dominio operativo continuo de producción arquitectónica. Esta operación abre una ventana de oportunidad para expandir los límites del marco crítico actual más allá de las fronteras establecidas por nuestra herencia clásica. En consecuencia con esta voluntad, la presente tesis pretende habilitar un ámbito para el análisis crítico de las estrategias que caracterizan ciertas corrientes del proyectar contemporáneo, pero también contribuir a informar nuevas aproximaciones metodológicas al proceso de proyecto, desplazando progresivamente su foco desde lo descriptivo hacia lo proyectivo. ABSTRACT This doctoral thesis attempts to simultaneously determine the scope of the classical criteria for the evaluation of architecture and challenge their prevalence within the current framework of architectural production and criticism. It examines how specific strands of post-structuralism and neo-materialism may contribute to both the expansion and the transformation of these criteria and, in doing so, sets itself the goal of mobilising these conceptual incorporations as explicit design methodologies. A detailed analysis of the formal, structural and organisational qualities implicit in Vitruvius’ triad Firmitas, Utilitas, Venustas is used as a starting point to determine the influence of classical paradigms in our current critical positions. As a reaction to this critical pervasiveness, and supported by a curated collection of artistic and architectural works, diverse approaches to non-compliance with the classical criteria of assessment are examined and classified. In order to facilitate this endeavour -and to overcome the transcendental dualism of most classical critical approaches in architecture- this thesis puts forward an analytical, multidimensional model that formulates architectural instances as possible positions within a larger combinatory continuum of formal, structural and organisational qualities. Using this conceptual model, the apparent antagonism between Vitruvius’ principles and its non-compliant opposites is reframed as a continuous operative domain of architectural production, which in turn opens up a window of opportunity to expand the limits of our critical framework beyond the boundaries of classical paradigms. In doing so, this thesis attempts not only to foster a better understanding of some of the strategic approaches that characterise contemporary systems of architectural production, but also to inform future methodological approaches to architectural design, hence situating itself beyond the domain of the descriptive and moving towards the projective.

The Clinical Utility of the Adult Attachment Projective Picture System: A Clinician's Perspective

The Adult Attachment Projective Picture System (AAP) is the first performance- based measure of adult attachment to be developed. The purpose of the measure is to provide a clinical understanding of an adult client's attachment status and associated coping mechanisms. The AAP is a relatively new measure that has yet to be examined from a utility perspective. In the current study, seven psychologists completed a structured survey in order to identify their perspectives of the AAP and its utility as a clinical instrument. A phenomenological qualitative analysis of the data was conducted to derive themes about the AAP and its clinical utility. Analyses aimed to answer the following: What clinical considerations do clinician's focus on when deciding to use this measure? What are common factors among clinician's who do use the measure as well as those who do not? What aspects of the measure are user-friendly and what aspects are difficult? General themes that emerged include (a) the clinical information provided by the AAP is viewed by those who use it as unique and beneficial; (b) time commitment and cost for the clinician are common considerations when clinician's are deciding whether or not to use the AAP or when pursuing training; (c) the AAP provides an increased understanding of one's relational capacities and defenses; and (d) the coding system and transcription process are difficult aspects of the AAP and influence how and/or when it is used. In addition to these themes, multiple respondents discussed potential changes for the AAP that would increase their future use of the instrument. Finally, the implications of these results are discussed.

La Région Méditerranéenne en 2020 et son Rôle dans le Réseau Energétjgue Européen, Vol. II: Les bilans energetiques de synthese des PSEM et des pays du CCG, Historique 1971 - 1980 - 1991 puis scénarios projectif et alternatif horizons 2000 - 2010 - 2020. Juin 1994 = The Mediterranean region in 2020 and its Role in European Energétjgue Network, Vol. II: The energy balances of synthesis SEMC and the GCC countries, History 1971 - 1980 - 1991 and projective and alternative scenarios years 2000 - 2010 - to 2020. June 1994

None.

Projective and analytical geometry.

Mode of access: Internet.

Eléments de géométrie projective /

Mode of access: Internet.

A discussion by synthetic methods of two projective pencils of conies

Presented as author's thesis.

Continuous groups of projective transformations treated synthetically.

Reprinted from Kansas University quarterly, v.4, no.2, Oct. 1895.

Éléments de géométrie projective,

Available on demand as hard copy or computer file from Cornell University Library.

Projective differential geometry of curves and ruled surfaces,

Available on demand as hard copy or computer file from Cornell University Library.

The principles of projective geometry applied to the straight line and conic,

Mode of access: Internet.

Projective geometry and projective metrics,

Bibliography: p. [323]