7 resultados para théorème de Roth

em Aston University Research Archive


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This article examines the multi-layered interrelation between Gerhard Roth’s writing and film. It charts the corresponding relationship of his early books to their accompanying television documentaries. The main focus of this essay however is on the film adaptation of Stille Ozean (1980) and Landäufiger Tod (1984), the two major novels in his cycle Archive des Shweigens. Supplemented by a look at the two radically different adaptations of his volume of topographical essays on Vienna called Eine Reise in das Innere von Wien (1991), the article also provides a summary overview of the seven dramas written by Roth for Austrian television in the 1990s, some of which were directed by his son Thomas. Finally Roth's approach to the medium of film is being discussed by drawing on the 59 reviews he published between 1995 and 1997 as a film critic for the Austrian magazine NEWS.

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The first part of the thesis compares Roth's method with other methods, in particular the method of separation of variables and the finite cosine transform method, for solving certain elliptic partial differential equations arising in practice. In particular we consider the solution of steady state problems associated with insulated conductors in rectangular slots. Roth's method has two main disadvantages namely the slow rate of con­vergence of the double Fourier series and the restrictive form of the allowable boundary conditions. A combined Roth-separation of variables method is derived to remove the restrictions on the form of the boundary conditions and various Chebyshev approximations are used to try to improve the rate of convergence of the series. All the techniques are then applied to the Neumann problem arising from balanced rectangular windings in a transformer window. Roth's method is then extended to deal with problems other than those resulting from static fields. First we consider a rectangular insulated conductor in a rectangular slot when the current is varying sinusoidally with time. An approximate method is also developed and compared with the exact method.The approximation is then used to consider the problem of an insulated conductor in a slot facing an air gap. We also consider the exact method applied to the determination of the eddy-current loss produced in an isolated rectangular conductor by a transverse magnetic field varying sinusoidally with time. The results obtained using Roth's method are critically compared with those obtained by other authors using different methods. The final part of the thesis investigates further the application of Chebyshdev methods to the solution of elliptic partial differential equations; an area where Chebyshev approximations have rarely been used. A poisson equation with a polynomial term is treated first followed by a slot problem in cylindrical geometry.

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An introduction to one of the most important German-speaking writers of the 20th and 21st century. With his literary cycles “Orkus” and “Die Archive des Schweigens” Gerhard Roth consolidated his status as one of the most important authors of contemporary German literature. For more than three decades, his literary oeuvre has been dedicated to the fight against neglecting historical responsibility. He is also an avid contributor to ongoing political debates. The study grants insights into the author’s work and demonstrates its role as an artistic tracing of the dark past. Gerhard Roth’s literary work can be read as a project, as an alternative to official historical interpretations and as a multilayered oeuvre that gives a voice to the persecuted, forgotten and alienated.