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In this volume, the authors present a collection of surveys on various aspects of the theory of bifurcations of differentiable dynamical systems and related topics. By selecting these subjects, they focus on those developments from which research will be active in the coming years. The surveys are intended to educate the reader on the recent literature on the following subjects: transversality and generic properties like the various forms of the so-called Kupka-Smale theorem, the Closing Lemma and generic local bifurcations of functions (so-called catastrophe theory) and generic local bifurcations in 1-parameter families of dynamical systems, and notions of structural stability and moduli. - Covers recent literature on various topics related to the theory of bifurcations of differentiable dynamical systems - Highlights developments that are the foundation for future research in this field - Provides material in the form of surveys, which are important tools for introducing the bifurcations of differentiable dynamical systems
In this unique interactive adventure, the reader is the Creature of Havoc, a monstrous beast with a taste for fighting. Ruled only by hunger and rage, the beast has no knowledge of its past or destiny. All readers need is a pencil and eraser to participate. Original.
The preservation of biodiversity is an essential part of the global concept for sustainable development. Ecologically and socially acceptable management of biodiversity is a prerequisite for the preservation of the wealth and productivity of natural ecological systems, and maintainance of the cultural differences in the relationship between man and nature. The Agenda 21 adopted at the Rio Summit in 1992 calls for concerted action by governments, governmental and non-governmental organizations, and the scientific community for the preservation of biodiversity.
Just to maintain our standard of living, we need to grow the worldwide economy at an unsustainable rate. As we seek to hit such lofty targets, were bound to deplete our resources and cause environmental crises on a scale that we have never seen before. Revolutions, terrorism, and wars will follow. Peter Pogany examines the problems we face and argues that human culture is governed by thermodynamic cycles of steady states interrupted by chaotic transitions. Specifically, he postulates that a steady state was interrupted by World War I, with a chaotic transition following World War II, which has led us to the current world order. His theory predicts that global society is drifting toward a new form of self-organization that will recognize limits to demographic-economic expansion but only after we go through a new chaotic transition that will start sometime between now and the 2030s. Havoc, They Name is Twenty-First Century, delivers sobering thoughts on where the world is headed, but it also offers a glimpse of a bright future that we can embrace once we get through the darkness to come.
This comprehensive book is presented in two parts; the first part introduces the basics of matrix analysis necessary for matrix computations, and the second part presents representative methods and the corresponding theories in matrix computations. Among the key features of the book are the extensive exercises at the end of each chapter. Matrix Analysis and Computations provides readers with the matrix theory necessary for matrix computations, especially for direct and iterative methods for solving systems of linear equations. It includes systematic methods and rigorous theory on matrix splitting iteration methods and Krylov subspace iteration methods, as well as current results on preconditioning and iterative methods for solving standard and generalized saddle-point linear systems. This book can be used as a textbook for graduate students as well as a self-study tool and reference for researchers and engineers interested in matrix analysis and matrix computations. It is appropriate for courses in numerical analysis, numerical optimization, data science, and approximation theory, among other topics
In this book, the authors present both traditional and modern discoveries in the subject area, concentrating on advanced aspects of the topic. Existing material is studied in detail, including finitely generated modules, projective and injective modules, and the theory of torsion and torsion-free modules. Some topics are treated from a new point of view. Also included are areas not found in current texts, for example, pure-injectivity, divisible modules, uniserial modules, etc. Special emphasis is given to results that are valid over arbitrary domains. The authors concentrate on modules over valuation and Prüfer domains, but also discuss Krull and Matlis domains, h-local, reflexive, and coherent domains. The volume can serve as a standard reference book for specialists working in the area and also is a suitable text for advanced-graduate algebra courses and seminars.
11th March 2020 – The black day… The day when fate of human survival took a abrupt turn towards the worst… The day when the sun of human existence started overshadowing by the clouds of mortality… The day when no one expected that the same oxygen; which has been the source of life for mankind since the evolution of life, would become so poisonous… The day since when people have been gasping for air and dying just like a fish out of water… The day which marked the mourning of the globe as a result of the deeds of the human beings… The day when a global emergency was declared due to the outbreak of a deadly pandemic which shook all the nations across the globe to their foundation...
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This book constitutes the refereed proceedings of the 18th International Conference on Engineering Applications of Neural Networks, EANN 2017, held in Athens, Greece, in August 2017. The 40 revised full papers and 5 revised short papers presented were carefully reviewed and selected from 83 submissions. The papers cover the topics of deep learning, convolutional neural networks, image processing, pattern recognition, recommendation systems, machine learning, and applications of Artificial Neural Networks (ANN) applications in engineering, 5G telecommunication networks, and audio signal processing. The volume also includes papers presented at the 6th Mining Humanistic Data Workshop (MHDW 2017) and the 2nd Workshop on 5G-Putting Intelligence to the Network Edge (5G-PINE).