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Creation --- 231.511 --- Biblical cosmogony --- Cosmogony --- Natural theology --- Teleology --- Beginning --- Biblical cosmology --- Creation windows --- Creationism --- Evolution --- 231.511 Scheppingsplan --- Scheppingsplan --- Doctrine of God (christianism)

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"The present book has as its aim to resolve a discrepancy in the textbook literature and ... to provide a comprehensive introduction to algebraic number theory which is largely based on the modern, unifying conception of (one-dimensional) arithmetic algebraic geometry. ... Despite this exacting program, the book remains an introduction to algebraic number theory for the beginner... The author discusses the classical concepts from the viewpoint of Arakelov theory.... The treatment of class field theory is ... particularly rich in illustrating complements, hints for further study, and concrete examples.... The concluding chapter VII on zeta-functions and L-series is another outstanding advantage of the present textbook.... The book is, without any doubt, the most up-to-date, systematic, and theoretically comprehensive textbook on algebraic number field theory available." W. Kleinert in Z.blatt f. Math., 1992 "The author's enthusiasm for this topic is rarely as evident for the reader as in this book. - A good book, a beautiful book." F. Lorenz in Jber. DMV 1995 "The present work is written in a very careful and masterly fashion. It does not show the pains that it must have caused even an expert like Neukirch. It undoubtedly is liable to become a classic; the more so as recent developments have been taken into account which will not be outdated quickly. Not only must it be missing from the library of no number theorist, but it can simply be recommended to every mathematician who wants to get an idea of modern arithmetic." J. Schoissengeier in Montatshefte Mathematik 1994.

Algebraic number theory --- Algebraïsche getallentheorie --- Nombres algébriques [Théorie des ] --- Algebraic number theory. --- 511.6 --- Number theory --- Algebraic number fields --- 511.6 Algebraic number fields --- Number theory. --- Number Theory. --- Number study --- Numbers, Theory of --- Algebra

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Gaul --- Rome --- Gaule --- Antiquities, Roman. --- History --- Historiography --- Antiquités romaines --- Histoire --- Historiographie --- Antiquités romaines --- Insurgency --- Historiography. --- 58 av. j.-c.-511

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There has been a great deal of excitement in the last ten years over the emer­ gence of new mathematical techniques for the analysis and control of nonlinear systems: Witness the emergence of a set of simplified tools for the analysis of bifurcations, chaos, and other complicated dynamical behavior and the develop­ ment of a comprehensive theory of geometric nonlinear control. Coupled with this set of analytic advances has been the vast increase in computational power available for both the simulation and visualization of nonlinear systems as well as for the implementation in real time of sophisticated, real-time nonlinear control laws. Thus, technological advances havebolstered the impact of analytic advances and produced a tremendous variety of new problems and applications that are nonlinear in an essential way. Nonlinear controllaws have been implemented for sophisticated flight control systems on board helicopters, and vertical take offand landing aircraft; adaptive, nonlinearcontrollaws havebeen implementedfor robot manipulators operating either singly, or in cooperation on a multi-fingered robot hand; adaptive control laws have been implemented forjetengines andautomotive fuel injection systems, as well as for automated highway systems and air traffic management systems, to mention a few examples. Bifurcation theory has been used to explain and understand the onset of fiutterin the dynamics of aircraft wing structures, the onset of oscillations in nonlinear circuits, surge and stall in aircraft engines, voltage collapse in a power transmission network.

Differential geometry. Global analysis --- Nonlinear systems --- System analysis --- Systèmes non linéaires --- Analyse de systèmes --- System Analysis --- 519.71 --- 681.511.4 --- #TELE:SISTA --- Network theory --- Systems analysis --- System theory --- Mathematical optimization --- Systems, Nonlinear --- Control systems theory: mathematical aspects --- Non-linear control systems --- Nonlinear systems. --- System analysis. --- 681.511.4 Non-linear control systems --- 519.71 Control systems theory: mathematical aspects --- Systèmes non linéaires --- Analyse de systèmes --- Network analysis --- Network science --- Calculus of variations. --- Calculus of Variations and Optimal Control; Optimization. --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima

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The idea for this book was conceived over the second bottle of Villa Maria's Caber­ net Medot '89, at the dinner of the Australasian Combinatorics Conference held at Palmerston North, New Zealand in December 1990, where the authors first met and discovered they had a number of interests in common. Initially, we embarked on a small project to try to formulate reductions to address the apparent parame­ terized intractability of DOMINATING SET, and to introduce a structure in which to frame our answers. Having spent several months trying to get the definitions for the reductions right (they now seem so obvious), we turned to our tattered copies of Garey and Johnson's work [239]. We were stunned to find that virtually none of the classical reductions worked in the parameterized setting. We then wondered if we'd be able to find any interesting reductions. Several years, many more bottles, so many papers, and reductions later it [3] seemed that we had unwittingly stumbled upon what we believe is a truly central and new area of complexity theory. It seemed to us that the material would be of great interest to people working in areas where exact algorithms for a small range of parameters are natural and useful (e. g. , Molecular Biology, VLSI design). The tractability theory was rich with distinctive and powerful techniques. The intractability theory seemed to have a deep structure and techniques all of its own.

Computer science --- Computational complexity. --- Complexité de calcul (Informatique) --- 511.3 --- Analytical, additive and other number-theory problems. Diophantine approximations --- 511.3 Analytical, additive and other number-theory problems. Diophantine approximations --- Complexité de calcul (Informatique) --- Computational complexity --- Complexity, Computational --- Electronic data processing --- Machine theory --- Computers. --- Mathematical logic. --- Applied mathematics. --- Engineering mathematics. --- Combinatorics. --- Algorithms. --- Theory of Computation. --- Mathematical Logic and Foundations. --- Applications of Mathematics. --- Algorithm Analysis and Problem Complexity. --- Algorism --- Algebra --- Arithmetic --- Combinatorics --- Mathematical analysis --- Engineering --- Engineering analysis --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Calculators --- Cyberspace --- Foundations