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<p>This project aims to give an overview of knots, orderability of knot groups, and to construct knots for which the knot groups enjoy some nice properties.</p> <p>To accomplish this, we first present some preliminary results concerning knots and knot groups. We then introduce the Alexander polynomial, and explain the idea of a special polynomial originally introduced by Linnell, Rhemtulla and Rolfsen. By investigating the conditions on a special polynomial, we classify all the special Alexander polynomial of fibred knots of degree less than 10. Finally we construct examples of fibred knots which have a special Alexander polynomial.</p> / Master of Science (MS)

This work examines British inquiry into the human mind in the early nineteenth century using a multivalent structural analysis of ideas and practices within traditions established by Hume, Hartley, and Reid. While these traditions were propagated into the nineteenth century by such figures as Thomas Brown, James Mill, Sir William Hamilton, and Alexander Bain, this later period has received a dearth of attention in the history of psychology, the history of philosophy, and the history of ideas in general. This conspicuous lacuna forms the basis for two simple questions: What was the situated significance of work on the human mind in nineteenth century Britain? What was it supposed to accomplish, or be about? In particular, I focus on the differentiation of science from philosophy as a particular kind of non-science, investigating a set of existing formulations of the respective characters of the two. Using this historiographic survey as a springboard, I establish an analytical apparatus based upon four structural dimensions that I term conceptual, expository, iconic, and genealogical. Taken together, these four elements form an historical problematic, a set of persistent features and issues that structured work on mental subjects. With respect to conceptual structure, I propose a set of a dozen persistently central, but fluid, concept clusters involved in the study of mind. Regarding texts themselves, I situate my subject in terms of specific audience groups, patterns of expository development, and topical scope. I also examine the limiting influence of authorial and editorial practices on the appearance of the conceptual systems these texts convey. Iconic structural patterns focus even more closely on textual content, demonstrating shifts in the density, nature, and extent of citation within the intellectual community. These four dimensions interact significantly, reflecting the complex character of an active community of intellectual discussion. Having established this analytical space, I return to the basic terminological distinction between science and philosophy to investigate what was at stake in distinguishing these two fields in the nineteenth century. The dichotomy was far from definitive: British mental inquiry from the time of Hume's Treatise to that of Bain's first two major works never established a firm division of science from philosophy, but the evidence suggests several directions of tension along which this split would subsequently emerge. As demonstrated by evidence from the first volume of the journal, Mind, founded by Bain in 1876, discussions among students of the human mind in the nineteenth century established a position for mental philosophy itself as arbiter of the new science-philosophy dipole. In this light, the establishment of Mind can be viewed as the creation of a boundary-object that itself constituted this distinction in psychological terms. / Ph. D.

Le corpus épique du 18e siècle en France, en Angleterre, en Pologne et au Danemark révèle trois types de survivance de l’épopée : (1) une survivance théorique dans la poétique spéculative (dont le modèle relativement incontesté est au 18e siècle l’Art poétique de Boileau), (2) l’épopée héroïque (comme la Henriade de Voltaire), toujours critiquée pour ses imperfections ; et (3) l’épopée comique (sur le modèle du Lutrin de Boileau), au succès bien plus unanime tant au 18e siècle qu’au regard de la postérité : The Rape of the Lock d’Alexander Pope, Peder Paars de Ludvig Holberg, Myszeis d’Ignacy Krasicki. L’épopée ne pourrait-elle ainsi survivre qu’au prix de sa dégradation de l’héroïque au comique ? Le poème héroïque serait-il donc tant étouffé par ses règles qu’il ne puisse exister dans la modernité qu’au prix d’un burlesque libérateur qui en relâche l’emprise ? Si, depuis la fin du 17e siècle, les échecs du genre épique sont régulièrement attribués à sa surthéorisation, il semble pourtant que l’héroïcomique se révèle au 18e siècle la forme par excellence de la régularité poétique. Loin d’être étouffé par ses règles, le genre épique tel que le conçoivent des théoriciens et des poètes inspirés par le classicisme français comme Alexander Pope, Ludvig Holberg, Charles Batteux, Ignacy Krasicki ou F. X. Dmochowski est à la fois régulier et vivant. L’efficacité du genre épique, qui englobe alors l’héroïcomique, dépend de son inscription dans un cadre formel « classique » qui se fonde largement sur les relectures de la Poétique d’Aristote au 18e siècle. Le reconstituer, c’est définir une « lisibilité classique » – c’est-à-dire un horizon d’attente esthétique et normatif dans lequel les règles ne sont pas des slogans, mais définissent réellement des pratiques poétiques signifiantes. La thèse explore, dans ses cinq parties, les implications de cette idée au niveau de la réception des textes épiques modernes (I), de la composition de l’ouverture épique conçue comme patrice du poème (II), des représentations de l’inspiration et du rôle du poète épique (III), de la fiction poétique (la « fable », IV) et de la textualité épique (diction et tableaux épiques, V). Les épopées anglaises, danoises ou polonaises étudiées témoignent ainsi des métamorphoses que connaît au 18e siècle le classicisme, européanisé et vivant – quand les ambitions refondatrices de Voltaire s’inscrivent en faux par rapport à une doctrine normative dont le poète français perçoit, moins que certains de ses contemporains, la productivité. / Considering an epic corpus from 18th-century France, England, Poland and Denmark, the epic genre can be said to exist in the 18th century in several forms. (1) As the theoretical object of speculative poetics (the main model of which is Boileau's Art Poétique). (2) As heroic epics, such as Voltaire's Henriade, which may enjoy success but are whose shortcomings are systematically pointed out by critics. (3) As comic epics (heavily influenced by Boileau's Lutrin), which achieve much greater success than their heroic counterparts both in the 18th century and today: Pope's Rape of the Lock, Ludvig Holberg's Peder Paars, Ignacy Krasicki's Myszeis. Can the epic genre then only survive through comic degradation? Is heroic poetry so smothered by speculative rules of art that it can only survive when burlesque subversion relaxes them?Whereas theoretical over-thinking has been, since the late 17th century, the go-to explanation for the many failures of early modern epic poetry, it seems that heroicomic poetry is actually a paragon of poetic regularity in the 18th century. Far from being asphyxiated by its rules, the epic genre as theorized and practiced by men of letters admirative of French neoclassicism such as Alexander Pope, Ludvig Holberg, Charles Batteux, Ignacy Krasicki or F. X. Dmochowski is both regular and very much alive. An epic is even more efficient the better it fits within a neoclassical framework heavily based on 18th-century reinterpretations of Aristotle's Poetics. To formulate this framework amounts to understanding "classical readability", a set of aesthetic and normative expectations within which poetic rules are not empty slogans but describe actual meaningful poetic techniques.This dissertation examines the implications of this idea with respect to the reception of early modern texts in the 18th century (I), how the opening lines of epic poems are seen to program the bulk of the work (II), the representation of the inspiration and social role of the epic poet (III), epic fiction (the "fable", IV), and the composition of the epic text itself (V). The aforementioned English, Danish and Polish epics are testaments to the transformations of neoclassical poetics and poetry through 18th-century Europe, whereas Voltaire's ambitious attempt at a reform of the neoclassical normative doctrine shows that, in contrast to some of his contemporaries, he failed to perceive its poetic conductivity.

Roger Paulin, einer der besten Kenner der europäischen Literatur des 18. Jahrhunderts, bereitet die erste neuere Biographie zu August Wilhelm Schlegel vor. Die Grundlage dafür ist der Nachlass Schlegels, der sich im Bestand der Handschriftenabteilung der SLUB Dresden befindet.

Thesis (DLitt (Afrikaans and Dutch))--University of Stellenbosch, 2007. / ENGLISH ABSTRACT: This dissertation studies the depiction of character subjectivity in two text series of Alexander Strachan and Breyten Breytenbach. Strachan’s first three prose works are dealt with as a trilogy wherein one main character, Lenka, traverses three texts. Breytenbach’s five autobiographical prose works about visits to South Africa are also dealt with as a text series wherein one main character, Breytenbach, is depicted. In both instances the subjectivity, as portrayed by these authors, is read as a nomadic subjectivity, a term borrowed from the French thinkers Gilles Deleuze and Félix Guattari. The study assumes the form of a Deleuze-Guattarian reading of Strachan and Breytenbach’s work with a sustained focus on the depiction of the nomadic subject in the works of both authors. During the course of the study many philosophical concepts, developed in the work of Deleuze and Guattari, are explained and implemented as thinking and reading instruments whereby the prose texts are read in a new perspective. Although a Deleuze-Guattarian reading of prose texts is a relatively uncharted territory in circles of Afrikaans literary theory, this study purports to indicate that when a schizo-analytical view of subjectivity is used to analyse the functioning of character subjectivity within literary works, the texts gain new life in interesting ways. Using the concept of the nomadic subject empowers me to establish a useful reading strategy for the reading of a character who refuses to become wholly subjected to the text and the world within which he lives and who rather experiences an existence of perpetual becomings. Eventually it is suggested that the creation of a nomadic character is not only dependent upon a different grasp of subjectivity as indicated in the text, but that the writing of a particular, revolutionary form of literature, a minor literature, is implied. The nomadic subject’s being implies perpetual becomings, and a successful literary portrayal of this subject must depict such becomings at stylistic and formal levels. This study moves systematically from an analysis of nomadic subjects in literary texts to the more general question of how a minor literature functions so that the nomadic being of the character is also kept alive in the form and style of the text.

Master of Music / School of Music, Theater, and Dance / Virginia Houser / Alexander Tikhonovich Gretchaninoff (1864-1956) was a prolific composer from Russia’s Romantic age who explored the art of musical writing within an extensive number of genres and forms and showed an unusually strong interest in the creation of solo piano pieces for and about children. It is important that musicians in general and pianists in particular investigate his compositions and gain an understanding of their nature and potential usefulness as teaching pieces and as works worthy of public performance. My research consisted of an examination of Gretchaninoff’s autobiography, the study of numerous secondary accounts of his life and personal analysis of piano scores written by the master. My investigation uncovered the almost hidden existence of a large number of attractive musical works which Gretchaninoff wrote for solo piano as well as insightful details concerning the circumstances and motives that inspired the master to compose within the parameters of this genre. The following pieces are performed as part of this presentation: (from Children’s Album, Op. 98) A Tale, In the Camp of the Lead Soldiers, Lead Soldiers on the March, Hobby-Horse, Nurse Is Sick, Lullaby, Little Dance, Dreadful Event, After the Ball, On a Travel Tour, The Little Would-be Hero; (from 12 Little Sketches for Children, Op. 182) Sunrise, With the Fishing Rod, On the Swing, A Country Lad; (from A Child’s Day, Op. 109) Morning Prayer, The Broken Toy, The Happy Return Home; (from The Grandfather’s Book, Op. 119) My Dear Mommy, Swallow Dance, Pussy Is Ill, On the Swing; (from Glass Beads, Op. 123) Morning Promenade, On a Bicycle, Difficult Work; (from Andrusha’s Album, Op. 133) The Dance of the Gold Fishes, My Little Dog Joujou; (from Album Leaves, Op. 139) After Walking; (from Nina’s Album, Op. 141) After Mass, Dreaming, At the Wheel; (from Arabesques, opus number in dispute) Russian Folksong, A Sad Little Story; Sonatina in F major, Op. 110, #2 – 1. Allegro giocoso, 2. Menuet (Moderato grazioso) and Trio, 3. Finale – Allegro.

A predição de perdas de rendimento de uma cultura devido à interferência de plantas daninhas é fundamental para o planejamento e seleção de estratégias de manejo das plantas daninhas na agricultura. Diversos modelos empíricos foram descritos na literatura porém, há necessidade de validá-los e escolher variáveis que possam ser avaliadas de modo prático, sem reduzir a precisão da predição de perda de rendimento da cultura. Os objetivos foram os de avaliar a competitividade da cultura de feijão (Phaseolus vulgaris L.) em relação à planta daninha [Brachiaria plantaginea (Link) Hitchc.]; comparar a eficiência de modelos empíricos em predizer perdas de rendimento da cultura em que a variável independente descreve a população de plantas daninhas em termos de densidade, índice de área foliar relativa e cobertura relativa do solo e propor uma metodologia para estimar os coeficientes dos modelos avaliados. Os experimentos foram conduzidos na Universidade de São Paulo (USP), na Escola Superior de Agricultura 'Luiz de Queiroz' (ESALQ), no Departamento de Produção Vegetal, em Piracicaba/SP, Brasil. Em casa de vegetação, avaliou-se a resposta de cada espécie à sua própria densidade, determinando-se a densidade mínima de plantas a partir da qual a produção de massa vegetal/unidade de área torna-se independente da densidade e a resposta de cada uma em relação à presença da outra em diferentes densidades e proporções. No campo, avaliou-se a perda de rendimento da cultura devido à densidade e à época de emergência da planta daninha, simulada por diferentes datas de semeadura do capim-marmelada. Em casa de vegetação, o feijão, como espécie competidora, é superior ao capim-marmelada; considerando o efeito da competição sobre a massa seca produzida pela cultura, uma planta de feijão competiu com outra da mesma espécie com a intensidade de 21,3 plantas de capim-marmelada e, o efeito da competição sobre a massa seca produzida pela planta daninha, uma planta de capim-marmelada competiu com outra da mesma espécie com a intensidade de 0,68 plantas de feijão; há diferenciação parcial de nicho ecológico entre as espécies, isto é, ambas utilizam os mesmos recursos do meio mas o feijão evita a presença do capim-marmelada. No campo, o capim-marmelada, como espécie competidora, é superior ao feijão; a perda de rendimento diminui com o atraso na semeadura da planta daninha; o modelo que tem como variável a densidade da planta daninha não descreve a perda de rendimento da cultura causada pela época de semeadura da planta daninha mas aqueles cuja variável é o índice relativo da área foliar da planta daninha ou a cobertura relativa do solo pela planta daninha descrevem; a cobertura relativa do solo pela planta daninha, avaliada visualmente, é uma variável potencial para substituir o índice de área foliar relativa da planta daninha; com o método completo, proposto para estimar os coeficientes dos modelos, obtém-se melhor predição de perdas de rendimento da cultura do que com o método simplificado. / The prediction of crop yield losses due to weed infestation is fundamental for the selection of weed management strategies. Several empirical models have been presented in the literature. However, it is necessary to validate them and choose variables, which can be evaluated in more practical way without reducing the precision of the crop yield loss prediction. The goals of this study were to assess the competitive ability of bean (Phaseolus vulgaris L.) relative to the weed alexandergrass [Brachiaria plantaginea (Link) Hitchc.]; to compare the performance of empirical models on predicting crop yield loss based on weed density, weed relative leaf area index and weed relative ground cover and, to suggest a methodology to estimate the coefficients of the tested empirical models. The experiments were carried out at University of São Paulo (USP), Escola Superior de Agricultura 'Luiz de Queiroz' (ESALQ), in the Department of Crop Production, in Piracicaba, São Paulo State, Brazil. With the glasshouse experiments the response of the species to its own density and, the response of the species to the presence of each other at different densities and proportion between them was assessed. With the field experiment, the crop yield loss, due to weed density and weed emergence relative to the crop emergence, simulated by sowing the weed at different time, was assessed. In the glasshouse experiments, as a competitor species, bean is superior to alexandergrass; the competition as measured by effects on bean biomass, one plant of bean is, to another plant of the same species, competitively equivalent to 21,3 alexandergrass plants and, as measured by effects on alexandergrass biomass, one alexandergrass plant is, to another plant of the same species, equivalent to 0,68 plant of bean; there is partial niche differentiation; the species compete for the same resources however, bean plants avoid the alexandergrass presence. In the field experiment, alexandergrass as a competitor species is superior to bean; crop yield losses decreased with the weed sowing delay; the model which variable is the weed density does not predict de crop yield loss due the relative time of weed sowing however, those models which variable is the weed relative leaf area index or weed relative ground cover, visually estimated, do; the visually estimated weed ground cover is a potential variable to substitute for the weed relative leaf area index; the suggested advanced method for estimating the models coefficients predicts the crop yield loss better than the simple method.

The questions arising over the deterioration of the 0BD have brought this topic to the attention of the public. This thesis will discuss the Central Business District of D311a5 and its decline. In order to study alternatives to these downward trends, the Central Business District Association of Dallas commissioned Alexander Cooper to make. an analysis of the possibilities for one alternative, namely, housing. The purpose of this study is to examine the le.rander Cooper Report on housing. The facts presented in this thesis will provide an analytical base of urban theory from which a discussion of housing prospects will be initiated. The feasibility of dointovm housing construction will 'be examined as it is presented in the Cooper Report.