The basin of attraction of an equilibrium of an ordinary differential equation can be determined using a Lyapunov function. A new method to construct such a Lyapunov function using radial basis functions is presented in this volume intended for researchers and advanced students from both dynamical systems and radial basis functions. Besides an introduction to both areas and a detailed description of the method, it contains error estimates and many examples.
Facing Armageddon is the first scholarly work on the 1914-18 War to explore, on a world-wide basis, the real nature of the participants experience. Sixty-four scholars from all over the globe deliver the fruits of recent research in what civilians and servicemen passed through, in the air, on the sea and on land.
The Two Edwards is unique in that it concentrates on the leading role played by King Edward VII and Foreign Secretary Edward Grey, which is mentioned peripherally—if at all—by others. King Edward is acknowledged as the author of the Triple Entente, but his motive for doing so is rarely mentioned.
First published in 1997, this volume aims to present a new perspective on the history of the Serbs in the twentieth century, viewing this period through the lives of its most significant Serb participants. Its contributors represent a diverse variety of backgrounds, coming from different countries, academic disciplines, intellectual traditions and generations. The aim of this book is to present a new perspective on the history of the Serbs in the twentieth century through the lives of its most significant Serb participants. Nikola Pasic, Dragutin Dimitirjevic-Apis, Radomir Putnik, King Peter, King Aleksandar, Prince Pavle, Dragoljub-Draza Mihailovic and Slobodan Milosevic whose lives are profiled in the books were, in the opinion of the editors, in position significantly to shape the destiny of the Serbs. In reviewing their life and achievements, the dilemmas facing the Serbs and their leaders in the twentieth century should hopefully become clearer as well. As each of the eight leaders exercised power and influence at critical times, each of them is in many ways still a controversial figure. In order to provide the necessary historical background, in the first chapter Peter Radan offers a brief overview and assessment of the course of the history of the Serbs during the twentieth century.
The theory of nonautonomous dynamical systems in both of its formulations as processes and skew product flows is developed systematically in this book. The focus is on dissipative systems and nonautonomous attractors, in particular the recently introduced concept of pullback attractors. Linearization theory, invariant manifolds, Lyapunov functions, Morse decompositions and bifurcations for nonautonomous systems and set-valued generalizations are also considered as well as applications to numerical approximations, switching systems and synchronization. Parallels with corresponding theories of control and random dynamical systems are briefly sketched. With its clear and systematic exposition, many examples and exercises, as well as its interesting applications, this book can serve as a text at the beginning graduate level. It is also useful for those who wish to begin their own independent research in this rapidly developing area.
Arithmetic Geometry can be defined as the part of Algebraic Geometry connected with the study of algebraic varieties through arbitrary rings, in particular through non-algebraically closed fields. It lies at the intersection between classical algebraic geometry and number theory. A C.I.M.E. Summer School devoted to arithmetic geometry was held in Cetraro, Italy in September 2007, and presented some of the most interesting new developments in arithmetic geometry. This book collects the lecture notes which were written up by the speakers. The main topics concern diophantine equations, local-global principles, diophantine approximation and its relations to Nevanlinna theory, and rationally connected varieties. The book is divided into three parts, corresponding to the courses given by J-L Colliot-Thelene, Peter Swinnerton Dyer and Paul Vojta.
Algebraic groups are treated in this volume from a group theoretical point of view and the obtained results are compared with the analogous issues in the theory of Lie groups. The main body of the text is devoted to a classification of algebraic groups and Lie groups having only few subgroups or few factor groups of different type. In particular, the diversity of the nature of algebraic groups over fields of positive characteristic and over fields of characteristic zero is emphasized. This is revealed by the plethora of three-dimensional unipotent algebraic groups over a perfect field of positive characteristic, as well as, by many concrete examples which cover an area systematically. In the final section, algebraic groups and Lie groups having many closed normal subgroups are determined.
The Paris-Princeton Lectures in Financial Mathematics, of which this is the fourth volume, publish cutting-edge research in self-contained, expository articles from outstanding specialists - established or on the rise! The aim is to produce a series of articles that can serve as an introductory reference source for research in the field. The articles are the result of frequent exchanges between the finance and financial mathematics groups in Paris and Princeton. The present volume sets standards with five articles by: 1. Areski Cousin, Monique Jeanblanc and Jean-Paul Laurent, 2. Stéphane Crépey, 3. Olivier Guéant, Jean-Michel Lasry and Pierre-Louis Lions, 4. David Hobson and 5. Peter Tankov.
The volume comprises several studies by distinguished students of World War I focusing on the origins of the war and, particularly on problems related to war prisoners.
This fascinating volume investigates the structure of eigenvectors and looks at the number of their sign graphs ("nodal domains"), Perron components, and graphs with extremal properties with respect to eigenvectors. The Rayleigh quotient and rearrangement of graphs form the main methodology. Eigenvectors of graph Laplacians may seem a surprising topic for a book, but the authors show that there are subtle differences between the properties of solutions of Schrödinger equations on manifolds on the one hand, and their discrete analogs on graphs.
The part played in World War I (1914-1918) by the army of the Austro-Hungarian Dual Monarchy is little known to English-speakers, perhaps because the end of the war saw the complete destruction of the Empire. Yet it was of central importance, providing nearly all Central Powers forces on the Italian front, huge numbers on the Russian front, seven Army Corps in the Balkans – and even a little-known contingent in Turkey and Palestine. The first half of the story of this complex multi-national organization at war is described here in a concise but detailed text, supported by data tables and an insignia chart, and illustrated with rare photographs and colourful uniform plates.
The basin of attraction of an equilibrium of an ordinary differential equation can be determined using a Lyapunov function. A new method to construct such a Lyapunov function using radial basis functions is presented in this volume intended for researchers and advanced students from both dynamical systems and radial basis functions. Besides an introduction to both areas and a detailed description of the method, it contains error estimates and many examples.
All thoughtful leaders can admit experiences of ongoing incompetence--dilemmas, decisions, and even debacles that make them question how they became leaders in the first place. When we look at St. Peter, however, we see a great leader who engaged with his weaknesses and knew his shortcomings. By following his example, we become better leaders in any arena. Seminary president Peter Lillback's profound treatment of more than 100 principles drawn from St. Peter helps you to think through your management style, communication, decision-making, and more. Practical spiritual exercises put the lessons of each short chapter into action--bringing joy to our hearts, guidance to our lives, and help to our service"--From publisher's description.
This will help us customize your experience to showcase the most relevant content to your age group
Please select from below
Login
Not registered?
Sign up
Already registered?
Success – Your message will goes here
We'd love to hear from you!
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.