8 resultados para hamilton-Jacobi formalism
em Helda - Digital Repository of University of Helsinki
Resumo:
Many problems in analysis have been solved using the theory of Hodge structures. P. Deligne started to treat these structures in a categorical way. Following him, we introduce the categories of mixed real and complex Hodge structures. Category of mixed Hodge structures over the field of real or complex numbers is a rigid abelian tensor category, and in fact, a neutral Tannakian category. Therefore it is equivalent to the category of representations of an affine group scheme. The direct sums of pure Hodge structures of different weights over real or complex numbers can be realized as a representation of the torus group, whose complex points is the Cartesian product of two punctured complex planes. Mixed Hodge structures turn out to consist of information of a direct sum of pure Hodge structures of different weights and a nilpotent automorphism. Therefore mixed Hodge structures correspond to the representations of certain semidirect product of a nilpotent group and the torus group acting on it.
Resumo:
Whereas it has been widely assumed in the public that the Soviet music policy system had a “top-down” structure of control and command that directly affected musical creativity, in fact my research shows that the relations between the different levels of the music policy system were vague, and the viewpoints of its representatives differed from each other. Because the representatives of the party and government organs controlling operas could not define which kind of music represented Socialist Realism, the system as it developed during the 1930s and 1940s did not function effectively enough in order to create such a centralised control of Soviet music, still less could Soviet operas fulfil the highly ambiguous aesthetics of Socialist Realism. I show that musical discussions developed as bureaucratic ritualistic arenas, where it became more important to reveal the heretical composers, making scapegoats of them, and requiring them to perform self-criticism, than to give directions on how to reach the artistic goals of Socialist Realism. When one opera was found to be unacceptable, this lead to a strengthening of control by the party leadership, which lead to more operas, one after the other, to be revealed as failures. I have studied the control of the composition, staging and reception of the opera case-studies, which remain obscure in the West despite a growing scholarly interest in them, and have created a detailed picture of the foundation and development of the Soviet music control system in 1932-1950. My detailed discussion of such case-studies as Ivan Dzerzhinskii’s The Quiet Don, Dmitrii Shostakovich’s Lady Macbeth of Mtsensk District, Vano Muradeli’s The Great Friendship, Sergei Prokofiev’s Story of a Real Man, Tikhon Khrennikov’s Frol Skobeev and Evgenii Zhukovskii’s From All One’s Heart backs with documentary precision the historically revisionist model of the development of Soviet music. In February 1948, composers belonging to the elite of the Union of Soviet Composers, e.g. Dmitri Shostakovich and Sergei Prokofiev, were accused in a Central Committee Resolution of formalism, as been under the influence of western modernism. Accusations of formalism were connected to the criticism of the conciderable financial, material and social privileges these composers enjoyed in the leadership of the Union. With my new archival findings I give a more detailed picture of the financial background for the 1948 campaign. The independent position of the music funding organization of the Union of Soviet Composers (Muzfond) to decide on its finances was an exceptional phenomenon in the Soviet Union and contradicted the strivings to strengthen the control of Soviet music. The financial audits of the Union of Soviet Composers did not, however, change the elite status of some of its composers, except for maybe a short duration in some cases. At the same time the independence of the significal financial authorities of Soviet theatres was restricted. The cuts in the governmental funding allocated to Soviet theatres contradicted the intensified ideological demands for Soviet operas.
Resumo:
The dissertation "From Conceptual to Corporeal, from Quotation to Site: Painting and History of Contemporary Art" explores the state of painting in contemporary art and art theory since the 1960s. The purpose of the study is to re-consider the dominant "end of painting" -narrative in contemporary art history, which goes back to the modernist ideology of painting as a reductive, medium-specific form of art. Drawing on Michel Foucault´s concepts of discursive formation and archive, as well as Jean-Luc Nancy´s post-phenomenological philosophy on corporeality, I suggest that contemporary painting can be redefined as a discursive-sensuous practice. Instead of seeing painting as obsolete or over as an avantgarde art genre, I show that there have been alternative, neo-avantgardist ways of defining painting since the end of the 1960s, such as French artist Daniel Buren´s early writings on painting as "theoretical practice". Consequently, the tendency of the canonical Anglo-American contemporary art narratives to underestimate the historical and institutional codes of art can be questioned. This tendency can be seen, for example, in Rosalind Krauss´s influential theory on index. The study also reflects the relations between conceptual art and painting since the 1960s and maps recent theories of painting, which re-examine the genre´s possibilities after the modernist rhetoric. Concepts of "flatbed", "painting in the extended field", "as painting" and so on are compared critically with the idea of painting as discursive practice. It is also shown that the issues in painting arise from the contemporary critical art debate while the dematerialisation paradigm of conceptual art has dissolved. The study focuses on the corporeal-material-sensuous -cluster of meanings attached to painting and searches for its avantgardist possibilities as redefined by postfeminist and post-phenomenological discourse. The ideas of hierarchy of the senses and synesthesia are developed within the framework of Jean-Luc Nancy´s and Luce Irigaray´s thought. The parameters for the study have been Finnish painting from 1990 to 2002. On the Finnish art scene there has been no "end of painting" ideology, strictly speaking. The mythology and medium-specificity of modernism have been deconstructed since the mid-1980s, but "the archive" of painting, like themes of abstraction, formalism and synesthesia have been re-worked by the discursive practice of painting, for example, in the works of Nina Roos, Tarja Pitkänen-Walter and Jussi Niva.
Resumo:
Between 1935 and 1970 the state-funded Irish Folklore Commission (Coimisiún Béaloideasa Éireann) assembled one of the great folklore collections of the world under the direction of Séamus Ó Duilearga (James Hamilton Delargy). The aim of this study is to recount and assess the work and achievement of this commission. The cultural, linguistic, political and ideological factors that had a bearing on the establishment and making permanent of the Commission and that impinged on many aspects of its work are here elucidated. The genesis of the Commission is traced and the vision and mission of Séamus Ó Duilearga are outlined. The negotiations that preceded the setting up of the Commission in 1935 as well as protracted efforts from 1940 to 1970 to place it on a permanent foundation are recounted and examined at length. All the various collecting programmes and other activities of the Commission are described in detail and many aspects of its work are assessed. This study also deals with the working methods and conditions of employment of the Commission s field and Head Office staff as well as with Séamus Ó Duilearga s direction of the Commission. In executing this work extensive use has been made of primary sources in archives and libraries in Ireland, Sweden, Finland, Estonia, and North America. This is the first major study of this world-famous institute, which has been praised in passing in numerous publications, but here for the first time its work and achievement are detailed comprehensively and subjected to scholarly scrutiny. This study should be of interest not only to students of Irish oral tradition but to folklorists everywhere. The history of the Irish Folklore Commission is a part of a wider history, that of the history of folkloristics in Europe and North America in particular. Moreover, this work has relevance for many areas of the developing world today, where conditions are not dissimilar to those that pertained in Ireland in the 1930's when this great salvage operation was funded by the young, independent Irish state. It is also hoped that this work will be of practical assistance to scholars and the general public when utilising these collections, and that furthermore it will stimulate research into the assembling of other national collections of folklore as well as into the history of folkloristics in other countries, subjects which in recent years are beginning to attract more and more scholarly attention.
Resumo:
This thesis combines a computational analysis of a comprehensive corpus of Finnish lake names with a theoretical background in cognitive linguistics. The combination results on the one hand in a description of the toponymic system and the processes involved in analogy-based naming and on the other hand some adjustments to Construction Grammar. Finnish lake names are suitable for this kind of study, as they are to a large extent semantically transparent even when relatively old. There is also a large number of them, and they are comprehensively collected in a computer database. The current work starts with an exploratory computational analysis of co-location patterns between different lake names. Such an analysis makes it possible to assess the importance of analogy and patterns in naming. Prior research has suggested that analogy plays an important role, often also in cases where there are other motivations for the name, and the current study confirms this. However, it also appears that naming patterns are very fuzzy and that their nature is somewhat hard to define in an essentially structuralist tradition. In describing toponymic structure and the processes involved in naming, cognitive linguistics presents itself as a promising theoretical basis. The descriptive formalism of Construction Grammar seems especially well suited for the task. However, now productivity becomes a problem: it is not nearly as clear-cut as the latter theory often assumes, and this is even more apparent in names than in more traditional linguistic material. The varying degree of productivity is most naturally described by a prototype-based theory. Such an approach, however, requires some adjustments to onstruction Grammar. Based on all this, the thesis proposes a descriptive model where a new name -- or more generally, a new linguistic expression -- can be formed by conceptual integration from either a single prior example or a construction generalised from a number of different prior ones. The new model accounts nicely for various aspects of naming that are problematic for the traditional description based on analogy and patterns.
Resumo:
Approximately one-third of stroke patients experience depression. Stroke also has a profound effect on the lives of caregivers of stroke survivors. However, depression in this latter population has received little attention. In this study the objectives were to determine which factors are associated with and can be used to predict depression at different points in time after stroke; to compare different depression assessment methods among stroke patients; and to determine the prevalence, course and associated factors of depression among the caregivers of stroke patients. A total of 100 consecutive hospital-admitted patients no older than 70 years of age were followed for 18 months after having their first ischaemic stroke. Depression was assessed according to the Diagnostic and Statistical Manual of Mental Disorders (DSM-III-R), Beck Depression Inventory (BDI), Hamilton Rating Scale (HRSD), Visual Analogue Mood Scale (VAMS), Clinical Global Impression (CGI) and caregiver ratings. Neurological assessments and a comprehensive neuropsychological test battery were performed. Depression in caregivers was assessed by BDI. Depressive symptoms had early onsets in most cases. Mild depressive symptoms were often persistent with little change during the 18-month follow-up, although there was an increase in major depression over the same time interval. Stroke severity was associated with depression especially from 6 to 12 months post-stroke. At the acute phase, older patients were at higher risk of depression, and a higher proportion of men were depressed at 18 months post-stroke. Of the various depression assessment methods, none stood clearly apart from the others. The feasibility of each did not differ greatly, but prevalence rates differed widely according to the different criteria. When compared against DSM-III-R criteria, sensitivity and specificity were acceptable for the CGI, BDI, and HRSD. The CGI and BDI had better sensitivity than the more specific HRSD. The VAMS seemed not to be a reliable method for assessing depression among stroke patients. The caregivers often rated patients depression as more severe than did the patients themselves. Moreover, their ratings seemed to be influenced by their own depression. Of the caregivers, 30-33% were depressed. At the acute phase, caregiver depression was associated with the severity of the stroke and the older age of the patient. The best predictor of caregiver depression at later follow-up was caregiver depression at the acute phase. The results suggest that depression should be assessed during the early post-stroke period and that the follow-up of those at risk of poor emotional outcome should be extended beyond the first year post-stroke. Further, the assessment of well-being of the caregivers of stroke patients should be included as a part of a rehabilitation plan for stroke patients.
Resumo:
This thesis consists of an introduction, four research articles and an appendix. The thesis studies relations between two different approaches to continuum limit of models of two dimensional statistical mechanics at criticality. The approach of conformal field theory (CFT) could be thought of as the algebraic classification of some basic objects in these models. It has been succesfully used by physicists since 1980's. The other approach, Schramm-Loewner evolutions (SLEs), is a recently introduced set of mathematical methods to study random curves or interfaces occurring in the continuum limit of the models. The first and second included articles argue on basis of statistical mechanics what would be a plausible relation between SLEs and conformal field theory. The first article studies multiple SLEs, several random curves simultaneously in a domain. The proposed definition is compatible with a natural commutation requirement suggested by Dubédat. The curves of multiple SLE may form different topological configurations, ``pure geometries''. We conjecture a relation between the topological configurations and CFT concepts of conformal blocks and operator product expansions. Example applications of multiple SLEs include crossing probabilities for percolation and Ising model. The second article studies SLE variants that represent models with boundary conditions implemented by primary fields. The most well known of these, SLE(kappa, rho), is shown to be simple in terms of the Coulomb gas formalism of CFT. In the third article the space of local martingales for variants of SLE is shown to carry a representation of Virasoro algebra. Finding this structure is guided by the relation of SLEs and CFTs in general, but the result is established in a straightforward fashion. This article, too, emphasizes multiple SLEs and proposes a possible way of treating pure geometries in terms of Coulomb gas. The fourth article states results of applications of the Virasoro structure to the open questions of SLE reversibility and duality. Proofs of the stated results are provided in the appendix. The objective is an indirect computation of certain polynomial expected values. Provided that these expected values exist, in generic cases they are shown to possess the desired properties, thus giving support for both reversibility and duality.
Resumo:
The aim of the study was to compare the effect physical exercise and bright light has on mood in healthy, working-age subjects with varying degrees of depressive symptoms. Previous research suggests that exercise may have beneficial effects on mood at least in subjects with depression. Bright light exposure is an effective treatment of winter depression, and possibly of non-seasonal depression as well. Limited data exist on the effect of exercise and bright light on mood in non-clinical populations, and no research has been done on the combination of these interventions. Working-age subjects were recruited through occupational health centres and 244 subjects were randomized into intervention groups: exercise, either in bright light or normal lighting, and relaxation / stretching sessions, either in bright light or normal gym lighting. During the eight-week intervention in midwinter, subjects rated their mood using a self-rating version of the Hamilton Depression Scale with additional questions for atypical depressive symptoms. The main finding of the study was that both exercise and bright-light exposure were effective in treating depressive symptoms. When the interventions were combined, the relative reduction in the Hamilton Depression Scale was 40 to 66%, and in atypical depressive symptoms even higher, 45 to 85%. Bright light exposure was more effective than exercise in treating atypical depressive symptoms. No single factor could be found that would predict a good response to these interventions. In conclusion, aerobic physical exercise twice a week during wintertime was effective in treating depressive symptoms. Adding bright light exposure to exercise increased the benefit, especially by reducing atypical depressive symptoms. Since this is so, this treatment could prevent subsequent major depressive episodes among the population generally.