The purpose of this monograph is to show that, in the radiation regime, there exists a Hamiltonian description of the dynamics of a massless scalar field, as well as of the dynamics of the gravitational field. The authors construct such a framework extending the previous work of Kijowski and Tulczyjew. They start by reviewing some elementary facts concerning Hamiltonian dynamical systems and then describe the geometric Hamiltonian framework, adequate for both the usual asymptotically-flat-at-spatial-infinity regime and for the radiation regime. The text then gives a detailed description of the application of the new formalism to the case of the massless scalar field. Finally, the formalism is applied to the case of Einstein gravity. The Hamiltonian role of the Trautman--Bondi mass is exhibited. A Hamiltonian definition of angular momentum at null infinity is derived and analysed.
Derived from the renowned multi-volume International Encyclopaedia of Laws, this practical analysis of sports law in Poland deals with the regulation of sports activity by both public authorities and private sports organizations. The growing internationalization of sports inevitably increases the weight of global regulation, yet each country maintains its own distinct regime of sports law and its own national and local sports organizations. Sports law at a national or organizational level thus gains a growing relevance in comparative law. The book describes and discusses both state-created rules and autonomous self-regulation regarding the variety of economic, social, commercial, cultural, and political aspects of sports activities. Self- regulation manifests itself in the form of by-laws, and encompasses organizational provisions, disciplinary rules, and rules of play. However, the trend towards more professionalism in sports and the growing economic, social and cultural relevance of sports have prompted an increasing reliance on legal rules adopted by public authorities. This form of regulation appears in a variety of legal areas, including criminal law, labour law, commercial law, tax law, competition law, and tort law, and may vary following a particular type or sector of sport. It is in this dual and overlapping context that such much-publicized aspects as doping, sponsoring and media, and responsibility for injuries are legally measured. This monograph fills a gap in the legal literature by giving academics, practitioners, sports organizations, and policy makers access to sports law at this specific level. Lawyers representing parties with interests in Poland will welcome this very useful guide, and academics and researchers will appreciate its value in the study of comparative sports law.
The book is about history of Lithuania and Russia in Medieval Ages, about writing chronicles, and meanings of words used at the time. It is an analysis of over 30 volumes of the Full Collection of Russian Chronicles, that dates back to 855 A.D. The chronicles in Medieval Ages were written in Slavic using Cyrillic alphabet by monks of the Russian Orthodox Church and in Old German and Medieval Latin by monks of the Teutonic Order. Full texts from Lithuanian in Old Belorussian tongue and excerpts in translations from Russian and Teutonic are included. The book starts in 13th century Lithuania—the time Lithuania emerged as state. The analysis of chronicles takes its reader through said above records made by Russian Orthodox monks (855 - 1453 A.D.), and to records and documents made by Catholics—Teutons and Poles (1191 - 1434 A.D.), Lithuanian (1345 - 1446), and ends with remarks about errors in dictionaries. The book describes the order in which chronicles were copied and therefore contains solutions to unsolved problems of sequence. The book contains graphs, tables, maps, that clarify explanations, a dictionary with almost 2200 entries and an Indices of Names, Tribes, Geographical Places, in which the Author provided extended information about the people, tribes, and places.
The purpose of this monograph is to show that, in the radiation regime, there exists a Hamiltonian description of the dynamics of a massless scalar field, as well as of the dynamics of the gravitational field. The authors construct such a framework extending the previous work of Kijowski and Tulczyjew. They start by reviewing some elementary facts concerning Hamiltonian dynamical systems and then describe the geometric Hamiltonian framework, adequate for both the usual asymptotically-flat-at-spatial-infinity regime and for the radiation regime. The text then gives a detailed description of the application of the new formalism to the case of the massless scalar field. Finally, the formalism is applied to the case of Einstein gravity. The Hamiltonian role of the Trautman--Bondi mass is exhibited. A Hamiltonian definition of angular momentum at null infinity is derived and analysed.
It is at least two decades since the conventional robotic manipulators have become a common manufacturing tool for different industries, from automotive to pharmaceutical. The proven benefits of utilizing robotic manipulators for manufacturing in different industries motivated scientists and researchers to try to extend the applications of robots to many other areas by inventing several new types of robots other than conventional manipulators. The new types of robots can be categorized in two groups; redundant (and hyper-redundant) manipulators, and mobile (ground, marine, and aerial) robots. These groups of robots, known as advanced robots, have more freedom for their mobility, which allows them to do tasks that the conventional manipulators cannot do. Engineers have taken advantage of the extra mobility of the advanced robots to make them work in constrained environments, ranging from limited joint motions for redundant (or hyper-redundant) manipulators to obstacles in the way of mobile (ground, marine, and aerial) robots. Since these constraints usually depend on the work environment, they are variable. Engineers have had to invent methods to allow the robots to deal with a variety of constraints automatically. A robot that is equipped with those methods is called an Autonomous Robot. Autonomous Robots: Kinematics, Path Planning, and Control covers the kinematics and dynamic modeling/analysis of Autonomous Robots, as well as the methods suitable for their control. The text is suitable for mechanical and electrical engineers who want to familiarize themselves with methods of modeling/analysis/control that have been proven efficient through research.
In the last days of the post-Stalinist thaw in 1963 Poland, Jerzyk becomes involved with an assassination plot arranged by his father, uncle, and their friend Mr. Traba in an attempt to take back their lives.
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