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The Shadow of Black Holes
This book introduces an analytic method to describe the shadow of black holes. As an introduction, it presents a survey of the attempts to observe the shadow of galactic black holes. Based on a detailed discussion of the Plebański–Demiański class of space-times, the book derives analytical formulas for the photon regions and for the boundary curve of the shadow as seen by an observer in the domain of outer communication. It also analyzes how the shadow depends on the motion of the observer. For all cases, the photon regions and shadows are visualized for various values of the parameters. Finally, it considers how the analytical formulas can be used for calculating the horizontal and vertical angular diameters of the shadow, and estimates values for the black holes at the centers of our Galaxy near Sgr A* and of the neighboring galaxy M87.
Equations of Motion in Relativistic Gravity
The present volume aims to be a comprehensive survey on the derivation of the equations of motion, both in General Relativity as well as in alternative gravity theories. The topics covered range from the description of test bodies, to self-gravitating (heavy) bodies, to current and future observations. Emphasis is put on the coverage of various approximation methods (e.g., multipolar, post-Newtonian, self-force methods) which are extensively used in the context of the relativistic problem of motion. Applications discussed in this volume range from the motion of binary systems -- and the gravitational waves emitted by such systems -- to observations of the galactic center. In particular the impact of choices at a fundamental theoretical level on the interpretation of experiments is highlighted. This book provides a broad and up-do-date status report, which will not only be of value for the experts working in this field, but also may serve as a guideline for students with background in General Relativity who like to enter this field.
Compact Representations for the Design of Quantum Logic
This book discusses modern approaches and challenges of computer-aided design (CAD) of quantum circuits with a view to providing compact representations of quantum functionality. Focusing on the issue of quantum functionality, it presents Quantum Multiple-Valued Decision Diagrams (QMDDs – a means of compactly and efficiently representing and manipulating quantum logic. For future quantum computers, going well beyond the size of present-day prototypes, the manual design of quantum circuits that realize a given (quantum) functionality on these devices is no longer an option. In order to keep up with the technological advances, methods need to be provided which, similar to the design and synt...
Fourteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics, And Relativistic Field Theories - Proceedings Of The Mg14 Meeting On General Relativity (In 4 Parts)
The four volumes of the proceedings of MG14 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 35 morning plenary talks over 6 days, 6 evening popular talks and 100 parallel sessions on 84 topics over 4 afternoons.Volume A contains plenary and review talks ranging from the mathematical foundations of classical and quantum gravitational theories including recent developments in string theory, to precision tests of general relativity including progress towards the detection of gravitational waves, and from supernova cosmology to relativistic astrophysics, inc...
Wozu Mathe in den Wirtschaftswissenschaften?
Dieses Buch zeigt an einfachen Beispielen, wozu mathematisches Verständnis (neben reinen Rechenfertigkeiten) in den Fächern der Betriebs- und Volkswirtschaftslehre gebraucht wird, um ökonomische Prozesse analysieren zu können. Es beschreibt zunächst die zentrale Bedeutung von Funktionen, führt in lockerer Sprache in wissenschaftliches Modelldenken ein und erläutert die wichtige Abwägung zwischen Einfachheit und Genauigkeit der Modelle. Danach wird verdeutlicht, wie aus der Schule bekannte mathematische Konzepte (wie Exponential- und Logarithmusfunktionen, Ableitungen, Gleichungssysteme, Abstandsmaße und Wahrscheinlichkeiten) zu kraftvollen Verfahren zur Lösung wirtschaftswissenschaftlicher Probleme werden. Das Buch möchte Studienanfängern und interessierten Schülerinnen und Schülern elementare Grundfertigkeiten und Motivation geben, sich mit Mathe im Anwendungsbereich der Ökonomie zu beschäftigen.
Who Owns Whom
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Tristanissimo
Emmons has enjoyed unrestricted access to all Melchior's unpublished papers and has interviewed dozens of his friends and colleagues. 71 black-and-white photographs.
