900 resultados para Riemann hypothesis


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This research focuses on the definition of the complex relationship that exists between theory and project, which - in the architectural work by Oswald Mathias Ungers - is based on several essays and on the publications that - though they have never been collected in an organic text - make up an articulated corpus, so that it is possible to consider it as the foundations of a theory. More specifically, this thesis deals with the role of metaphor in Unger’s theory and its subsequent practical application to his projects. The path leading from theoretical analysis to architectural project is in Ungers’ view a slow and mediated path, where theory is an instrument without which it would not be possible to create the project's foundations. The metaphor is a figure of speech taken from disciplines such as philosophy, aesthetics, linguistics. Using a metaphor implies a transfer of meaning, as it is essentially based on the replacement of a real object with a figurative one. The research is articulated in three parts, each of them corresponding to a text by Ungers that is considered as crucial to understand the development of his architectural thinking. Each text marks three decades of Ungers’ work: the sixties, seventies and eighties. The first part of the research deals with the topic of Großform expressed by Ungers in his publication of 1966 Grossformen im Wohnungsbau, where he defines four criteria based on which architecture identifies with a Großform. One of the hypothesis underlying this study is that there is a relationship between the notion of Großform and the figure of metaphor. The second part of the thesis analyzes the time between the end of the sixties and the seventies, i.e. the time during which Ungers lived in the USA and taught at the Cornell University of Ithaca. The analysis focuses on the text Entwerfen und Denken in Vorstellungen, Metaphern und Analogien, written by Ungers in 1976, for the exhibition MAN transFORMS organized in the Cooper - Hewitt Museum in New York. This text, through which Ungers creates a sort of vocabulary to explain the notions of metaphor, analogy, signs, symbols and allegories, can be defined as the Manifesto of his architectural theory, the latter being strictly intertwined with the metaphor as a design instrument and which is best expressed when he introduces the 11 thesis with P. Koolhaas, P. Riemann, H. Kollhoff and A. Ovaska in Die Stadt in der Stadt in 1977. Berlin das grüne Stadtarchipel. The third part analyzes the indissoluble tie between the use of metaphor and the choice of the topic on which the project is based and, starting from Ungers’ publication in 1982 Architecture as theme, the relationship between idea/theme and image/metaphor is explained. Playing with shapes requires metaphoric thinking, i.e. taking references to create new ideas from the world of shapes and not just from architecture. The metaphor as a tool to interpret reality becomes for Ungers an inquiry method that precedes a project and makes it possible to define the theme on which the project will be based. In Ungers’ case, the architecture of ideas matches the idea of architecture; for Ungers the notions of idea and theme, image and metaphor cannot be separated from each other, the text on thematization of architecture is not a report of his projects, but it represents the need to put them in order and highlight the theme on which they are based.

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Il teorema della mappa di Riemann è un risultato fondamentale dell'analisi complessa che afferma l'esistenza di un biolomorfismo tra un qualsiasi dominio semplicemente connesso incluso strettamente nel piano ed il disco unità. Si tratta di un teorema di grande importanza e generalità, dato che non si fa alcuna ipotesi sul bordo del dominio considerato. Inoltre ha applicazioni in diverse aree della matematica, ad esempio nella topologia: può infatti essere usato per dimostrare che due domini semplicemente connessi del piano sono tra loro omeomorfi. Presentiamo in questa tesi due diverse dimostrazioni del teorema.

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This dissertation is about collective action issues in common property resources. Its focus is the “threshold hypothesis,” which posits the existence of a threshold in group size that drives the process of institutional change. This hypothesis is tested using a six-century dataset concerning the management of the commons by hundreds of communities in the Italian Alps. The analysis seeks to determine the group size threshold and the institutional changes that occur when groups cross this threshold. There are five main findings. First, the number of individuals in villages remained stable for six centuries, despite the population in the region tripling in the same period. Second, the longitudinal analysis of face-to-face assemblies and community size led to the empirical identification of a threshold size that triggered the transition from informal to more formal regimes to manage common property resources. Third, when groups increased in size, gradual organizational changes took place: large groups split into independent subgroups or structured interactions into multiple layers while maintaining a single formal organization. Fourth, resource heterogeneity seemed to have had no significant impact on various institutional characteristics. Fifth, social heterogeneity showed statistically significant impacts, especially on institutional complexity, consensus, and the relative importance of governance rules versus resource management rules. Overall, the empirical evidence from this research supports the “threshold hypothesis.” These findings shed light on the rationale of institutional change in common property regimes, and clarify the mechanisms of collective action in traditional societies. Further research may generalize these conclusions to other domains of collective action and to present-day applications.

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Superfici di Riemann compatte, divisori, Teorema di Riemann Roch, immersioni nello spazio proiettivo.

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This paper aims to show, analyze and solve the problems related to the translation of the book with meaning-bond alphabetically ordered chapter titles La vita non è in ordine alfabetico, by the Italian writer Andrea Bajani. The procedure is inevitable for a possible translation of the book, and it is necessary to have a preliminary pattern to follow. After translating the whole book, not only is a revision fundamental, but a restructure and reorganization of the collection may be required, hence, what this thesis offers is a scheme to start from, together with an analysis of the possible problems that may arise, and a useful method to find a solution.

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The purpose of this study is to analyse the regularity of a differential operator, the Kohn Laplacian, in two settings: the Heisenberg group and the strongly pseudoconvex CR manifolds. The Heisenberg group is defined as a space of dimension 2n+1 with a product. It can be seen in two different ways: as a Lie group and as the boundary of the Siegel UpperHalf Space. On the Heisenberg group there exists the tangential CR complex. From this we define its adjoint and the Kohn-Laplacian. Then we obtain estimates for the Kohn-Laplacian and find its solvability and hypoellipticity. For stating L^p and Holder estimates, we talk about homogeneous distributions. In the second part we start working with a manifold M of real dimension 2n+1. We say that M is a CR manifold if some properties are satisfied. More, we say that a CR manifold M is strongly pseudoconvex if the Levi form defined on M is positive defined. Since we will show that the Heisenberg group is a model for the strongly pseudo-convex CR manifolds, we look for an osculating Heisenberg structure in a neighborhood of a point in M, and we want this structure to change smoothly from a point to another. For that, we define Normal Coordinates and we study their properties. We also examinate different Normal Coordinates in the case of a real hypersurface with an induced CR structure. Finally, we define again the CR complex, its adjoint and the Laplacian operator on M. We study these new operators showing subelliptic estimates. For that, we don't need M to be pseudo-complex but we ask less, that is, the Z(q) and the Y(q) conditions. This provides local regularity theorems for Laplacian and show its hypoellipticity on M.

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In questa tesi si descrivono la funzione zeta di Riemann, la costante di Eulero-Mascheroni e la funzione gamma di Eulero. Si riportano i legami tra questi e si illustra brevemente l'ipotesi di Riemann degli zeri non banali della funzione zeta, ovvero l'ipotesi della distribuzione dei numeri primi nella retta dei numeri reali.

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Background The goal when resuscitating trauma patients is to achieve adequate tissue perfusion. One parameter of tissue perfusion is tissue oxygen saturation (StO2), as measured by near infrared spectroscopy. Using a commercially available device, we investigated whether clinically relevant blood loss of 500 ml in healthy volunteers can be detected by changes in StO2 after a standardized ischemic event. Methods We performed occlusion of the brachial artery for 3 minutes in 20 healthy female blood donors before and after blood donation. StO2 and total oxygenated tissue hemoglobin (O2Hb) were measured continuously at the thenar eminence. 10 healthy volunteers were assessed in the same way, to examine whether repeated vascular occlusion without blood donation exhibits time dependent effects. Results Blood donation caused a substantial decrease in systolic blood pressure, but did not affect resting StO2 and O2Hb values. No changes were measured in the blood donor group in the reaction to the vascular occlusion test, but in the control group there was an increase in the O2Hb rate of recovery during the reperfusion phase. Conclusion StO2 measured at the thenar eminence seems to be insensitive to blood loss of 500 ml in this setting. Probably blood loss greater than this might lead to detectable changes guiding the treating physician. The exact cut off for detectable changes and the time effect on repeated vascular occlusion tests should be explored further. Until now no such data exist.

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Despite successful intensive care a substantial portion of critically ill patients dies after discharge from the intensive care unit or hospital. Observational studies investigating long-term survival of critically ill patients reported that most deaths occur during the first months or year after discharge. Only limited data on the causes of impaired quality of life and post-intensive care unit deaths exist in the current literature. In this manuscript we hypothesize that the acute inflammatory response which characteristically accompanies critical illness is ensued by a prolonged imbalance or activation of the immune system. Such a chronic low-grade inflammatory response to critical illness may be sub-clinical and persist for a variable period of time after discharge from the intensive care unit and hospital. Chronic inflammation is a well-recognized risk factor for long-term morbidity and mortality, particularly from cardiovascular causes, and may thus partly contribute to the impaired quality of life as well as increased morbidity and mortality following intensive care unit and hospital discharge of critically ill patients. Assuming that critical illness is indeed followed by a prolonged inflammatory response, important implications for treatment would arise. An interesting and potentially beneficial therapy could be the administration of immune-modulating drugs during the time after intensive care unit or hospital discharge until chronic inflammation has subsided. Statins are well-investigated and effective drugs to attenuate chronic inflammation and could potentially also improve long-term outcome of critically ill patients after intensive care unit or hospital discharge. Future studies evaluating the course of inflammation during and after critical illness as well as its response to statin therapy are required.

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This meta-analysis investigated whether the association between researcher allegiance (RA) and the relative effect of two psychotherapies can be explained through the methodological weaknesses of the treatment comparisons. Seventy-nine comparisons of psychotherapies for depression or posttraumatic stress disorder (PTSD) were included. Methodological quality (MQ) was investigated as both a moderator and a mediator of the RA-outcome association. MQ included balanced nonspecific factors, balanced specific factors, conceptual quality, patients-per-therapist ratio, randomization to conditions and outcome assessment. The RA-outcome association was stronger when the MQ was low, suggesting a buffering effect of MQ. In addition, differences in the conceptual quality of treatments mediated the effect of RA on outcome. The results support the view that RA acts as a bias in treatment comparisons.

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Disturbances in melatonin - the neurohormone that signals environmental darkness as part of the circadian circuit of mammals - have been implicated in various psychopathologies in humans. At present, experimental evidence linking prenatal melatonin signaling to adult physiology, behavior, and gene expression is lacking. We hypothesized that administration of melatonin (5 mg/kg) or the melatonin receptor antagonist luzindole (5 mg/kg) to rats in utero would permanently alter the circadian circuit to produce differential growth, adult behavior, and hippocampal gene expressionin the male rat. Prenatal treatment was found to increase growth in melatonin-treated animals. In addition, subjects exposed to melatonin prenatally displayed increased rearing in the open field test and an increased right turn preference in the elevated plusmaze. Rats administered luzindole prenatally, however, displayed greater freezing and grooming behavior in the open field test and improved learning in the Morris water maze. Analysis of relative adult hippocampal gene expression with RT-PCR revealed increasedexpression of brain-derived neurotrophic factor (BDNF) with a trend toward increased expression of melatonin 1A (MEL1A) receptors in melatonin-exposed animals whereas overall prenatal treatment had a significant effect on microtubule-associated protein 2(MAP2) expression. Our data support the conclusion that the manipulation of maternal melatonin levels alters brain development and leads to physiological and behavioral abnormalities in adult offspring. We designate the term circadioneuroendocrine (CNE)axis and propose the CNE-axis hypothesis of psychopathology.

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Primate multisensory object perception involves distributed brain regions. To investigate the network character of these regions of the human brain, we applied data-driven group spatial independent component analysis (ICA) to a functional magnetic resonance imaging (fMRI) data set acquired during a passive audio-visual (AV) experiment with common object stimuli. We labeled three group-level independent component (IC) maps as auditory (A), visual (V), and AV, based on their spatial layouts and activation time courses. The overlap between these IC maps served as definition of a distributed network of multisensory candidate regions including superior temporal, ventral occipito-temporal, posterior parietal and prefrontal regions. During an independent second fMRI experiment, we explicitly tested their involvement in AV integration. Activations in nine out of these twelve regions met the max-criterion (A < AV > V) for multisensory integration. Comparison of this approach with a general linear model-based region-of-interest definition revealed its complementary value for multisensory neuroimaging. In conclusion, we estimated functional networks of uni- and multisensory functional connectivity from one dataset and validated their functional roles in an independent dataset. These findings demonstrate the particular value of ICA for multisensory neuroimaging research and using independent datasets to test hypotheses generated from a data-driven analysis.