This book deals with fields which possess different spins so, that there is an additional internal symmetry of such schemes. The main feature of theories with multi-spin is that transformations of the Lorentz and internal symmetry groups do not commute each other. So, parameters of the group are tensors but not scalars as in the more common-gauge theories. This kind of symmetry is also different from supersymmetry where group parameters are not scalars. The difference is that in this case the algebra of generators of the symmetry is closed without adding the generators of the Poincaré group. Consideration of schemes of fields with multi-spin possess some attractive features and avoid some difficulties but the price of this is the presence of the indefinite metric. It should be noted that some quantum theories of gravity also require the introduction of an indefinite metric. The localisation of parameters of the internal symmetry group leads to the gauge fields and field interactions. In Part II solutions are found for equations for particles with different spins in external classical and quantified electromagnetic fields, as well as the interaction of fields with multi-spin with external electromagnetic fields of different configurations.
This book presents a systematic treatment of the Rademacher system, one of the most important unifying concepts in mathematics, and includes a number of recent important and beautiful results related to the Rademacher functions. The book discusses the relationship between the properties of the Rademacher system and geometry of some function spaces. It consists of three parts, in which this system is considered respectively in Lp-spaces, in general symmetric spaces and in certain classes of non-symmetric spaces (BMO, Paley, Cesaro, Morrey). The presentation is clear and transparent, providing all main results with detailed proofs. Moreover, literary and historical comments are given at the end of each chapter. This book will be suitable for graduate students and researchers interested in functional analysis, theory of functions and geometry of Banach spaces.
Wall Street Journal, USA Today, and Publishers Weekly bestseller The prospect of living to 200 years old isn’t science fiction anymore. A leader in the emerging field of longevity offers his perspective on what cutting-edge breakthroughs are on the horizon, as well as the practical steps we can take now to live healthily to 100 and beyond. In The Science and Technology of Growing Young, industry investor and insider Sergey Young demystifies the longevity landscape, cutting through the hype and showing readers what they can do now to live better for longer, and offering a look into the exciting possibilities that await us. By viewing aging as a condition that can be cured, we can dramatically revolutionize the field of longevity and make it accessible for everyone. Join Sergey as he gathers insights from world-leading health entrepreneurs, scientists, doctors, and inventors, providing a comprehensive look into the future of longevity in two horizons: • The Near Horizon of Longevity identifies the technological developments that will allow us to live to 150—some of which are already in use—from AI-based diagnostics to gene editing and organ regeneration. • The Far Horizon of Longevity offers a tour of the future of age reversal, and the exciting technologies that will allow us to live healthily to 200, from Internet of Bodies to digital avatars to AI-brain integration. In a bonus chapter, Sergey also showcases 10 longevity choices that we already know and can easily implement to live to 100, distilling the science behind diet, exercise, sleep, mental health, and our environments into attainable habits and lifestyle hacks that anyone can adopt to vastly improve their lives and workplaces. Combining practical advice with an incredible overview of the brave new world to come, The Science and Technology of Growing Young redefines what it means to be human and to grow young.
This book is based on the authors’ extensive practical experience in the use of modern radiological methods to diagnose parathyroid diseases and the application of advanced surgical techniques. Detailed attention is devoted to the embryological background to emphasize the significance of diagnostic and surgical peculiarities. Pre- and intraoperative imaging is discussed in depth, with a special focus on localizing techniques. Ultrasound-guided minimally invasive techniques, including percutaneous laser ablation, are fully considered. This up-to-date and richly illustrated book will interest and assist specialists in ultrasound diagnostics, radiologists, endocrinologists, and surgeons.
Wall Street Journal, USA Today, and Publishers Weekly bestseller 2021 Nautilus Book Award Silver Medal Winner - Aging Consciously Category The prospect of living to 200 years old isn’t science fiction anymore. A leader in the emerging field of longevity offers his perspective on what cutting-edge breakthroughs are on the horizon, as well as the practical steps we can take now to live healthily to 100 and beyond. In The Science and Technology of Growing Young, industry investor and insider Sergey Young demystifies the longevity landscape, cutting through the hype and showing readers what they can do now to live better for longer, and offering a look into the exciting possibilities that await us. By viewing aging as a condition that can be cured, we can dramatically revolutionize the field of longevity and make it accessible for everyone. Join Sergey as he gathers insights from world-leading health entrepreneurs, scientists, doctors, and inventors, providing a comprehensive look into the future of longevity in two horizons: The Near Horizon of Longevity identifies the technological developments that will allow us to live to 150—some of which are already in use—from AI-based diagnostics to gene editing and organ regeneration. The Far Horizon of Longevity offers a tour of the future of age reversal, and the exciting technologies that will allow us to live healthily to 200, from Internet of Bodies to digital avatars to AI-brain integration. In a bonus chapter, Sergey also showcases 10 longevity choices that we already know and can easily implement to live to 100, distilling the science behind diet, exercise, sleep, mental health, and our environments into attainable habits and lifestyle hacks that anyone can adopt to vastly improve their lives and workplaces. Combining practical advice with an incredible overview of the brave new world to come, The Science and Technology of Growing Young redefines what it means to be human and to grow young.
Hyperbolic Chaos: A Physicist’s View” presents recent progress on uniformly hyperbolic attractors in dynamical systems from a physical rather than mathematical perspective (e.g. the Plykin attractor, the Smale – Williams solenoid). The structurally stable attractors manifest strong stochastic properties, but are insensitive to variation of functions and parameters in the dynamical systems. Based on these characteristics of hyperbolic chaos, this monograph shows how to find hyperbolic chaotic attractors in physical systems and how to design a physical systems that possess hyperbolic chaos. This book is designed as a reference work for university professors and researchers in the fields of physics, mechanics, and engineering. Dr. Sergey P. Kuznetsov is a professor at the Department of Nonlinear Processes, Saratov State University, Russia.
This book develops and substantiates methods for structural mathematical modeling in the context of protecting machines and equipment from vibration effects. It analyzes problems concerning the dynamic interactions of elements in mechanical oscillatory systems, constructing suitable mathematical models, estimating their dynamic properties, and adapting structural mathematical models to the equivalent forms. In turn, it develops a methodological basis for identifying the lever linkages and taking into account the peculiarities of their influence on the dynamic properties of systems. Given its scope, the book offers a valuable resource for specialists in the fields of dynamics and strength of machines, vibration protection systems for equipment, and maintenance of the dynamic quality of vibrating machines, as well as students in related degree programs.
Sensors, Transducers, Signal Conditioning and Wireless (Book Series 'Advances in Sensors: Reviews', Vol. 3) is a premier sensor review source and contains 19 chapters with sensor related state-of-the-art reviews and descriptions of latest achievements written by 55 authors from academia and industry from 19 countries: Botswana, Canada, China, Finland, France, Germany, India, Jordan, Mexico, Portugal, Romania, Russia, Senegal, Serbia, South Africa, South Korea, UK, Ukraine and USA. Coverage includes current developments in physical sensors and transducers, chemical sensors, biosensors, sensing materials, signal conditioning energy harvesters and wireless sensor networks. This book ensures that readers will stay at the cutting edge of the field and get the right and effective start point and road map for the further researches and developments.
With the help of the path integration method, this book investigates the generation of dynamical mass in various four-fermion models, including models with the internal symmetry groups SU(2), SU(3), SU(5), and with CP-violation. It also explores the local SU(2)xU(1) four-fermion model with the composite Higgs boson, and shows that the four-quark interaction appears naturally with the help of the gluon propagator in the infrared region. The book also provides the mass formula for the σ-meson, the Goldberger-Treiman relation and the values of quark condensates, and proves that four-quark models describe the region between the asymptotic freedom and quark confinement. It also considers a number of quantum processes within the framework of effective chiral Lagrangians.
This book deals with fields which possess different spins so, that there is an additional internal symmetry of such schemes. The main feature of theories with multi-spin is that transformations of the Lorentz and internal symmetry groups do not commute each other. So, parameters of the group are tensors but not scalars as in the more common-gauge theories. This kind of symmetry is also different from supersymmetry where group parameters are not scalars. The difference is that in this case the algebra of generators of the symmetry is closed without adding the generators of the Poincaré group. Consideration of schemes of fields with multi-spin possess some attractive features and avoid some difficulties but the price of this is the presence of the indefinite metric. It should be noted that some quantum theories of gravity also require the introduction of an indefinite metric. The localisation of parameters of the internal symmetry group leads to the gauge fields and field interactions. In Part II solutions are found for equations for particles with different spins in external classical and quantified electromagnetic fields, as well as the interaction of fields with multi-spin with external electromagnetic fields of different configurations.
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