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Variational Methods
With a focus on the interplay between mathematics and applications of imaging, the first part covers topics from optimization, inverse problems and shape spaces to computer vision and computational anatomy. The second part is geared towards geometric control and related topics, including Riemannian geometry, celestial mechanics and quantum control. Contents: Part I Second-order decomposition model for image processing: numerical experimentation Optimizing spatial and tonal data for PDE-based inpainting Image registration using phase・amplitude separation Rotation invariance in exemplar-based image inpainting Convective regularization for optical flow A variational method for quantitative ph...
Divine Messengers
In western astrology we use of course Roman names for the planetary symbols; but when you look on the mythological explanations, you usually get Greek mythology to explain them. Doesn't count: NOMEN EST OMEN ? Searching the mythological rests of the original deities Mercury, Venus, Mars, Jupiter and Saturnus it was necessesary to dive deeply into the history of theology because the well-known literates like Ovid, Virgil and Lucretius preferred to retell Greek myths instead of preserving their own roots. In the last centuries (until about 1900) these authors werde taken as sources for theological research and there was no discrimination between literature/poetry and original italic tradition. Perspective and moral view of the 19th century added more misinterpretations and made the knowledge of Roman religion almost vanish. Existing rests are collected in this book and compared with the actual astrological symbols. So the reader can recognize how much of Roman ideas can be found in the planetary symbols nowadays. Simultaneously new points of view are opened for the interpretation of Mercury, Venus, Mars, Jupiter and Saturn.
Free Boundary Problems
Many phenomena of interest for applications are represented by differential equations which are defined in a domain whose boundary is a priori unknown, and is accordingly named a "free boundary". A further quantitative condition is then provided in order to exclude indeterminacy. Free boundary problems thus encompass a broad spectrum which is represented in this state-of-the-art volume by a variety of contributions of researchers in mathematics and applied fields like physics, biology and material sciences. Special emphasis has been reserved for mathematical modelling and for the formulation of new problems.
Shape Optimization under Uncertainty from a Stochastic Programming Point of View
Optimization problems are relevant in many areas of technical, industrial, and economic applications. At the same time, they pose challenging mathematical research problems in numerical analysis and optimization. Harald Held considers an elastic body subjected to uncertain internal and external forces. Since simply averaging the possible loadings will result in a structure that might not be robust for the individual loadings, he uses techniques from level set based shape optimization and two-stage stochastic programming. Taking advantage of the PDE’s linearity, he is able to compute solutions for an arbitrary number of scenarios without significantly increasing the computational effort. The author applies a gradient method using the shape derivative and the topological gradient to minimize, e.g., the compliance and shows that the obtained solutions strongly depend on the initial guess, in particular its topology. The stochastic programming perspective also allows incorporating risk measures into the model which might be a more appropriate objective in many practical applications.
Managing Joint Innovation
'Open Innovation' is good up to a certain point, past a certain level, however, it becomes extremely dangerous. It is crucial therefore that a companies 'sweet spot', the optimum point where open innovation is beneficial, is found before it becomes hazardous. Using strong research Francis Bidault guides the reader through this innovation journey.
Römische Erinnerungsräume
Rom unterlag zwischen dem 3. und 5. Jh. n. Chr. einem tief greifenden Transformationsprozess, der die urbane, soziale und religiöse Struktur der Stadt in gleicher Weise erfasste. Die vorliegende Studie nimmt mit der Heiligenerinnerung ein zentrales Feld dieses Wandels in den Blick. Ausgehend vom kulturwissenschaftlichen Paradigma kollektiver Identitätsstiftung durch Erinnerung, wird die Funktion der Heiligenmemoria im Hinblick auf unterschiedliche kollektiver Identitäten untersucht: die Gemeinschaft der Lebenden und Toten, die städtische Gemeinde der urbs Roma; die römische Kirche und schismastische Gemeindebildungen; der private Raum der domus; die durch die römischen Heiligenlegenden...
Der Heeresdienst von Christen in der römischen Kaiserzeit
Die vorliegende Studie untersucht die Stellungnahmen dreier bedeutender altkirchlicher Autoren zur Frage nach der Haltung des vorkonstantinischen Christentums zum Heeresdienst von Christen: Tertullian, Origenes und Clemens Alexandrinus. Dabei gilt das besondere Augenmerk ihrer Interpretation vor dem Hintergrund der Konventionen antiker Rhetorik und im Rahmen ihres jeweiligen argumentativen Gesamtzusammenhangs. Es zeigt sich am Beispiel der behandelten Autoren, dass es im Christentum der Jahre zwischen 200–250 n. Chr. eine lebhafte Diskussion gab, ob Christen Soldaten und Soldaten Christen werden durften. Dabei erweisen sich die konkreten Aussagen jedes Autors als rhetorisch reflektiert und...
Politikōs archein
Die Studie untersucht die Position und den Handlungsspielraum der r�mischen Statthalter, die in den griechischen Provinzen der Kaiserzeit ma�geblich von den lokalen Kr�fteverh�ltnissen bestimmt wurden. Herrschaft mu�te besonders mit den st�dtischen Eliten ausgehandelt werden, wobei Ehrgesichtspunkte die erfolgreiche Kommunikation der r�mischen Amtstr�ger mit den Notabeln eine entscheidende Rolle spielten.
Philo von Alexandrien
Philo of Alexandria was the first Middle Platonic thinker whose writings have largely survived. Otto Kaiser introduces the reader to his life, work and writings based on the extant manuscripts. Philo of Alexandria is one of the most important figures in the history of Hellenic culture. His writings are an essential source of information on Hellenic and Stoic philosophy, much of which was subsequently lost. His importance to the history of theology rests on the fact that he was the first author to write about the Pentateuch based on the writings of the Greek philosophers available to him. His works also reflect his knowledge of the thoughts of the empirical scientists of his time. Otto Kaiser introduces the reader to the life, work and writings of Philo based on the extant works of Philo as well as of many other ancient writers.
