Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent research in the area. The lectures cover a wide range of topics such as general isometric group actions, circle actions on positively curved four manifolds, cohomogeneity one actions on Alexandrov spaces, isometric torus actions on Riemannian manifolds of maximal symmetry rank, n-Sasakian manifolds, isoparametric hypersurfaces in spheres, contact CR and CR submanifolds, Riemannian submersions and the Hopf conjecture with symmetry. Also included is an introduction to the theory of exterior differential systems.
Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent research in the area. The lectures cover a wide range of topics such as general isometric group actions, circle actions on positively curved four manifolds, cohomogeneity one actions on Alexandrov spaces, isometric torus actions on Riemannian manifolds of maximal symmetry rank, n-Sasakian manifolds, isoparametric hypersurfaces in spheres, contact CR and CR submanifolds, Riemannian submersions and the Hopf conjecture with symmetry. Also included is an introduction to the theory of exterior differential systems.
At the center of this book lies a fundamental yet unanswered question: under which historical and sociological conditions and in what manner the Hebrew Bible became an authoritative tradition, that is, holy scripture and the canon of Judaism as well as Christianity. Reinhard G. Kratz answers this very question by distinguishing between historical and biblical Israel. This foundational and, for the arrangement of the book, crucial distinction affirms that the Israel of biblical tradition, i.e. the sacred history (historia sacra) of the Hebrew Bible, cannot simply be equated with the history of Israel and Judah. Thus, Kratz provides a synthesis of both the Israelite and Judahite history and the genesis and development of biblical tradition in two separate chapters, though each area depends directly and inevitably upon the other. These two distinct perspectives on Israel are then confronted and correlated in a third chapter, which constitutes an area intimately connected with the former but generally overlooked apart from specialized inquiries: those places and "archives" that either yielded Jewish documents and manuscripts (Elephantine, Al-Yahudu, Qumran) or are associated conspicuously with the tradition of the Hebrew Bible (Mount Gerizim, Jerusalem, Alexandria). Here, the various epigraphic and literary evidence for the history of Israel and Judah comes to the fore. Such evidence sometimes represents Israel's history; at other times it reflects its traditions; at still others it reflects both simultaneously. The different sources point to different types of Judean or Jewish identity in Persian and Hellenistic times.
The complexity of modern embedded systems has increased rapidly in the recent past. Introducing models of computation into the design flow has significantly raised the abstraction in system level design of embedded systems. Establishing such high abstraction levels in common hardware /software co-design flows is still in its infancy. H. Gregor Molter develops a hardware / software co-design flow based on the Discrete Event System Specification model of computation. He advocates that such a system level design flow should exploit a timed model of computation to allow a broad application field. The presented design flow will transform timed DEVS models to both synthesizable VHDL source code and embeddable C++ source code.
Gregor Wiedemann evaluates text mining applications for social science studies with respect to conceptual integration of consciously selected methods, systematic optimization of algorithms and workflows, and methodological reflections relating to empirical research. In an exemplary study, he introduces workflows to analyze a corpus of around 600,000 newspaper articles on the subject of “democratic demarcation” in Germany. He provides a valuable resource for innovative measures to social scientists and computer scientists in the field of applied natural language processing.
Focusing on Hermann von Helmholtz, this study addresses one of the nineteenth century’s most important German natural scientists. Among his most well-known contributions to science are the invention of the ophthalmoscope and grou- breaking work towards formulating the law of the conservation of energy. The volume of his work, reaching from medicine to physiology to physics and epis- mology, his impact on the development of the sciences far beyond German borders, and the contribution he made to the organization and popularization of research, all established Helmholtz’s prominence both in the academic world and in public cultural life. Helmholtz was also one of the last representatives of a conception of nature that strove to reduce all phenomena to matter in motion. In reaction to the increasingly insurmountable difficulties that program had in fulfilling its own standards for s- entific explanation, he developed elements of a modern understanding of science that have remained of fundamental importance to this day.
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