Generalising classical concepts of probability theory, the investigation of operator (semi)-stable laws as possible limit distributions of operator-normalized sums of i.i.d. random variable on finite-dimensional vector space started in 1969. Currently, this theory is still in progress and promises interesting applications. Parallel to this, similar stability concepts for probabilities on groups were developed during recent decades. It turns out that the existence of suitable limit distributions has a strong impact on the structure of both the normalizing automorphisms and the underlying group. Indeed, investigations in limit laws led to contractable groups and - at least within the class of connected groups - to homogeneous groups, in particular to groups that are topologically isomorphic to a vector space. Moreover, it has been shown that (semi)-stable measures on groups have a vector space counterpart and vice versa. The purpose of this book is to describe the structure of limit laws and the limit behaviour of normalized i.i.d. random variables on groups and on finite-dimensional vector spaces from a common point of view. This will also shed a new light on the classical situation. Chapter 1 provides an introduction to stability problems on vector spaces. Chapter II is concerned with parallel investigations for homogeneous groups and in Chapter III the situation beyond homogeneous Lie groups is treated. Throughout, emphasis is laid on the description of features common to the group- and vector space situation. Chapter I can be understood by graduate students with some background knowledge in infinite divisibility. Readers of Chapters II and III are assumed to be familiar with basic techniques from probability theory on locally compact groups.
Part of the renowned Donald School series, this second edition provides obstetricians and gynaecologists with the latest advances in the clinical use of 3D and 4D ultrasound. The book has been fully revised and updated and each chapter explains the application of the technique for different obstetric and gynaecologic disorders. Each topic features a summary of key points and boxes for quick review, as well as further reading suggestions. Authored by internationally recognised experts in the field, the book includes more than 850 ultrasound images, diagrams and tables. Key points Presents latest advances in clinical use of 3D and 4D ultrasound in obstetrics and gynaecology Part of the renowned Donald School series Fully revised, second edition with more than 850 images Internationally recognised author team
One man’s part in the Nazi plan to assassinate Hitler during WWII—and “an interesting account of one of the key figures in the resistance movement” (Britain at War). As the descendant of an aristocratic family from Westphalia, Germany, Kurt Baron von Plettenberg served as an officer in both world wars. But he never supported the twisted ideals that drove the Third Reich. So, when he found a group of soldiers—including Operation Valkyrie mastermind Claus von Stauffenberg—who realized the true insanity of the Nazi regime, von Plettenberg was compelled to join the resistance that was growing within Hitler’s own circle. On July 20, 1944, the plot to assassinate the führer was finally put into action. Unfortunately for von Plettenberg and his fellow conspirators, the effort failed. Von Plettenberg was not immediately discovered as one of the conspirators. But only a few weeks before the end of the war, he was condemned and arrested. It was then that he was forced to make a terrible decision: betray his friends under torture—or do what his personal honor dictated . . . This gripping biography shows for the first time how von Plettenberg found a way to prevail during those dark days and how significantly he influenced the resistance against Hitler.
The new edition of this book incorporates the recent remarkable changes in electric power generation, transmission and distribution. The consequences of the latest development to High Voltage (HV) test and measuring techniques result in new chapters on Partial Discharge measurements, Measurements of Dielectric Properties, and some new thoughts on the Shannon Theorem and Impuls current measurements. This standard reference of the international high-voltage community combines high voltage engineering with HV testing techniques and HV measuring methods. Based on long-term experience gained by the authors the book reflects the state of the art as well as the future trends in testing and diagnostics of HV equipment. It ensures a reliable generation, transmission and distribution of electrical energy. The book is intended not only for experts but also for students in electrical engineering and high-voltage engineering.
This volume provides a comprehensive account of the use of modern imaging procedures for the diagnosis of arterial and venous diseases. Each imaging modality is separately considered and applications in individual diseases are then explained with the aid of excellent illustrations. In addition, vascular interventions such as balloon angioplasty, local thrombolysis, and stent implantation are discussed and appraised. Special attention is devoted to the problem of radiation burden for patients. The authors are all recognized experts in angiology, phlebology, and interventional radiology.
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