Connected Hopf algebras of finite Gelfand-Kirillov dimension

Following the seminal work of Zhuang, connected Hopf algebras of finite GK-dimension over algebraically closed fields of characteristic zero have been the subject of several recent papers. This thesis is concerned with continuing this line of research and promoting connected Hopf algebras as a natural, intricate and interesting class of algebras. We begin by discussing the theory of connected Hopf algebras which are either commutative or cocommutative, and then proceed to review the modern theory of arbitrary connected Hopf algebras of finite GK-dimension initiated by Zhuang. We next focus on the (left) coideal subalgebras of connected Hopf algebras of finite GK-dimension. They are shown to be deformations of commutative polynomial algebras. A number of homological properties follow immediately from this fact. Further properties are described, examples are considered and invariants are constructed. A connected Hopf algebra is said to be "primitively thick" if the difference between its GK-dimension and the vector-space dimension of its primitive space is precisely one . Building on the results of Wang, Zhang and Zhuang,, we describe a method of constructing such a Hopf algebra, and as a result obtain a host of new examples of such objects. Moreover, we prove that such a Hopf algebra can never be isomorphic to the enveloping algebra of a semisimple Lie algebra, nor can a semisimple Lie algebra appear as its primitive space. It has been asked in the literature whether connected Hopf algebras of finite GK-dimension are always isomorphic as algebras to enveloping algebras of Lie algebras. We provide a negative answer to this question by constructing a counterexample of GK-dimension 5. Substantial progress was made in determining the order of the antipode of a finite dimensional pointed Hopf algebra by Taft and Wilson in the 1970s. Our final main result is to show that the proof of their result can be generalised to give an analogous result for arbitrary pointed Hopf algebras.

Richard Yates: re-writing postwar American culture

This thesis explores the fiction of American author Richard Yates to propose that his work provides an insistent questioning and alternative vision of postwar American culture. Such an approach is informed by a revisionist account of four distinct yet interconnected areas of postwar culture: the role of the non-heroic soldier stepping in and out of World War II; suburbanisation and fashioning of anti-suburban performance; demarcation of gender roles and unraveling of sexual conservatism in the 1950s; consideration of what constituted the normative within postwar discourse and representations of mental illness in Yates’ work. These four spheres of interest form the backbone to this study in its combined aim of reclaiming Yates’ fiction in line with a more progressive historical framework while shaping a new critical appreciation of his fiction. Such analysis will be primed by an opening discussion that illustrates how Yates’ fiction has frequently been ensconced in a limited interpretative lens: an approach, that I argue, has kept Yates on the periphery of the canon and ultimately resulted in the neglect of an author who provided a rich, progressive and historically significant dialogue of postwar American life. This PhD arrives at a point when Yatesian scholarship is finally gaining momentum after the cumulative impact of a comprehensive biography, a faithful film adaptation of his seminal text Revolutionary Road (1961), plus the recent re-issue of his catalogue of work. An assessment as to why he remained on the margins of success for the duration of his career is therefore of pressing interest in light of this recent critical and commercial recognition.

Desenlaces de la escala Omaha+ en los pacientes en cuidado intensivo en la fundación santa fe de Bogotá

Introducción La ventilación mecánica es fundamental en el manejo de la falla respiratoria aguda, actualmente no existe consenso sobre el momento exacto de extubación. Este estudio describe el comportamiento de la escala OMAHA+ en nuestra institución. Objetivo Principal Describir los desenlaces clínicos relacionados con la escala OMAHA+ durante la extubación de los pacientes de las unidades de cuidado intensivo del hospital universitario. Métodos Estudio descriptivo, retrospectivo, basado en el registro de la escala OMAHA+ de 68 pacientes durante el proceso de extubación en las Unidades de cuidado intensivo adulto de la Fundación Santa Fe de Bogotá durante Agosto de 2014 a Mayo de 2015. Resultados Se encontraron valores gasométricos cercanos a la normalidad, con una PaO2/FiO2 media de 261 (DS 60,6), SaO2 media de 96% (DS 2%), media de lactato sérico de 1.5 mmol/L (DS 1,2 mmol/L), con signos vitales normales. La causa más común de ingreso a UCI fue Neumonía, seguida por cirugía cardiaca y abdominal. Las medias de parámetros ventilatorios al momento de extubación fueron; PEEP de 6 (DS 0,8), volumen corriente de 8ml/Kg (DS 1,4 ml/Kg), índice de Tobín de 34 (DS 11,9), test de fuga positivo 94%, y sólo una extubación fallida. Conclusiones La escala OMAHA+ puede ser una herramienta útil, aplicable y fácilmente reproducible en los pacientes con soporte ventilatorio mecánico invasivo previo al proceso de extubación, con baja proporción de fallo. Estos resultados deben ser evaluados en estudios prospectivos.

Healing wounds institutional strength, peacebuilding, and productive entrepreneurship – exploratory analysis on 23 departments of Colombia

Este estudio presenta un análisis exploratorio sobre la correlación entre la fortaleza institucional, las condiciones de paz, y el emprendimiento en una muestra de 23 departamentos en Colombia usando datos de 2014. Para llevar a cabo este objetivo se propusieron y construyeron tres índices siguiendo definiciones conceptuales seminales o estándares de evaluación internacional, a saber: 1) El Índice de Fortaleza Institucional, 2) El Índice de Construcción de Paz (construido a partir del índice de paz negativa y el índice de paz positiva) y 3) El Índice de Emprendimiento Productivo. Los resultados no muestran una correlación significativa entre todos los tres índices. Por un lado, existe una correlación significativa (p<0.05) entre los índices de fortaleza institucional y emprendimiento productivo. Por otro lado, existen correlaciones negativas no significativas entre los índices de paz positiva y fortaleza institucional, emprendimiento productivo y paz positiva y emprendimiento productivo y construcción de paz. En un segundo acercamiento, la población de los departamentos fue la variable con mayor número de correlaciones significativas (p<0.01) entre variables relacionadas con emprendimiento productivo, empleo, producto interno bruto, sofisticación industrial, innovación (patentes) y crimen. Finalmente, se discuten las conclusiones y las futuras investigaciones.

Juniperus navicularis - a study of Portuguese population structure and fitness

Juniperus navicularis Gand. is a dioecious endemic conifer that constitutes the understory of seaside pine forests in Portugal, areas currently threatened by increasing urban expansion. The aim of this study is to assess the conservation status of previously known populations of this species located on its core area of distribution. The study was performed in south-west coast of Portugal. Three populations varying in size and pine density were analyzed. Number of individuals, population density, spatial distribution and individual characteristics of junipers were estimated. Female cone, seed characteristics and seed viability were also evaluated. Results suggest that J. navicularis populations are vulnerable because seminal recruitment is scarce, what may lead to a reduction of genetic variability due solely to vegetative propagation. This vulnerability seems to be strongly determined by climatic constraints toward increasing aridity. Ratio between male and female shrubs did not differ from 1:1 in any population. Deviations from 1:1 between mature and non-mature plants were found in all populations, denoting population ageing. Very low seed viability was observed. A major part of described Juniperus navicularis populations have disappeared through direct habitat loss to urban development, loss of fitness in drier and warmer locations and low seed viability. This study is the first to address J. navicularis conservation, and represents a valuable first step toward this species preservation.

‘Crows’ vs. ‘Avatar’, or: 3D vs. total-dimensional immersion

3D film’s explicit new space depth arguably provides both an enhanced realistic quality to the image and a wealth of more acute visual and haptic sensations (a ‘montage of attractions’) to the increasingly involved spectator. But David Cronenberg’s related ironic remark that ‘cinema as such is from the outset a «special effect»’ should warn us against the geometrical naiveté of such assumptions, within a Cartesian ocularcentric tradition for long overcome by Merleau-Ponty’s embodiment of perception and Deleuze’s notion of the self-consistency of the artistic sensation and space. Indeed, ‘2D’ traditional cinema already provides the accomplished «fourth wall effect», enclosing the beholder behind his back within a space that no longer belongs to the screen (nor to ‘reality’) as such, and therefore is no longer ‘illusorily’ two-dimensional. This kind of totally absorbing, ‘dream-like’ space, metaphorical for both painting and cinema, is illustrated by the episode ‘Crows’ in Kurosawa’s Dreams. Such a space requires the actual effacement of the empirical status of spectator, screen and film as separate dimensions, and it is precisely the 3D caracteristic unfolding of merely frontal space layers (and film events) out of the screen towards us (and sometimes above the heads of the spectators before us) that reinstalls at the core of the film-viewing phenomenon a regressive struggle with reality and with different degrees of realism, originally overcome by film since the Lumière’s Arrival of a Train at Ciotat seminal demonstration. Through an analysis of crucial aspects in Avatar and the recent Cave of Forgotten Dreams, both dealing with historical and ontological deepening processes of ‘going inside’, we shall try to show how the formal and technically advanced component of those 3D-depth films impairs, on the contrary, their apparent conceptual purpose on the level of contents, and we will assume, drawing on Merleau-Ponty and Deleuze, that this technological mistake is due to a lack of recognition of the nature of perception and sensation in relation to space and human experience.

Mathematical skills: intergenerational features and relationships with cognitive and linguistic abilities

This thesis aimed to investigate the cognitive underpinnings of math skills, with particular reference to cognitive, and linguistic markers, core mechanisms of number processing and environmental variables. In particular, the issue of intergenerational transmission of math skills has been deepened, comparing parents’ and children’s basic and formal math abilities. This pattern of relationships amongst these has been considered in two different age ranges, preschool and primary school children. In the first chapter, a general introduction on mathematical skills is offered, with a description of some seminal works up to recent studies and latest findings. The first chapter concludes with a review of studies about the influence of environmental variables. In particular, a review of studies about home numeracy and intergenerational transmission is examined. The first study analyzed the relationship between mathematical skills of children attending primary school and those of their mothers. The objective of this study was to understand the influence of mothers' math abilities on those of their children. In the second study, the relationship between parents’ and children numerical processing has been examined in a sample of preschool children. The goal was to understand how mathematical skills of parents were relevant for the development of the numerical skills of children, taking into account children’s cognitive and linguistic skills as well as the role of home numeracy. The third study had the objective of investigating whether the verbal and nonverbal cognitive skills presumed to underlie arithmetic are also related to reading. Primary school children were administered measures of reading and arithmetic to understand the relationships between these two abilities and testing for possible shared cognitive markers. Finally, in the general discussion a summary of main findings across the study is presented, together with clinical and theoretical implications.

Noises: a Nuisance and a Resource. Development of New Decomposition Methods of Noisy Data

Noise is constant presence in measurements. Its origin is related to the microscopic properties of matter. Since the seminal work of Brown in 1828, the study of stochastic processes has gained an increasing interest with the development of new mathematical and analytical tools. In the last decades, the central role that noise plays in chemical and physiological processes has become recognized. The dual role of noise as nuisance/resource pushes towards the development of new decomposition techniques that divide a signal into its deterministic and stochastic components. In this thesis I show how methods based on Singular Spectrum Analysis have the right properties to fulfil the previously mentioned requirement. During my work I applied SSA to different signals of interest in chemistry: I developed a novel iterative procedure for the denoising of powder X-ray diffractograms; I “denoised” bi-dimensional images from experiments of electrochemiluminescence imaging of micro-beads obtaining new insight on ECL mechanism. I also used Principal Component Analysis to investigate the relationship between brain electrophysiological signals and voice emission.