This book provides an up-to-date overview of results in rigid body dynamics, including material concerned with the analysis of nonintegrability and chaotic behavior in various related problems. The wealth of topics covered makes it a practical reference for researchers and graduate students in mathematics, physics and mechanics. Contents Rigid Body Equations of Motion and Their Integration The Euler – Poisson Equations and Their Generalizations The Kirchhoff Equations and Related Problems of Rigid Body Dynamics Linear Integrals and Reduction Generalizations of Integrability Cases. Explicit Integration Periodic Solutions, Nonintegrability, and Transition to Chaos Appendix A : Derivation of the Kirchhoff, Poincaré – Zhukovskii, and Four-Dimensional Top Equations Appendix B: The Lie Algebra e(4) and Its Orbits Appendix C: Quaternion Equations and L-A Pair for the Generalized Goryachev – Chaplygin Top Appendix D: The Hess Case and Quantization of the Rotation Number Appendix E: Ferromagnetic Dynamics in a Magnetic Field Appendix F: The Landau – Lifshitz Equation, Discrete Systems, and the Neumann Problem Appendix G: Dynamics of Tops and Material Points on Spheres and Ellipsoids Appendix H: On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation Appendix I: The Hamiltonian Dynamics of Self-gravitating Fluid and Gas Ellipsoids
Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matemàtica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields. Native to actual problem-solving challenges in mechanics, the topic of integrable systems is currently at the crossroads of several disciplines in pure and applied mathematics, and also has important interactions with physics. The study of integrable systems also actively employs methods from differential geometry. Moreover, it is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds.
Biological Experiments in Space: 30 Years Investigating Life in Space Orbit covers investigations of plant, algae, animals, fish, microorganisms and tissue cultures on space flights, beginning with the first orbital space station on Salyut 1. The book includes results on the influence of the entire complex of physical factors associated with spaceflight on biological systems, including analysis of the impact of microgravity on organisms, as well as the effects of electric and magnetic fields. This book offers important insights for researchers of space biology and astrobiology, as well as space agency and industry specialists developing future space stations and missions. Lack of gravity, temperature and chemical gradients, magnetic and electrical fields, spectral composition and intensity of light, and high-energy cosmic radiation influence many important metabolic and physiological processes in animals, plants, and microorganisms, as well as transfer phenomena in and around them. Success of future space exploration depends on understanding the effects of these factors on biological organisms and developing appropriate countermeasures, aimed at improving growth, development, and reproduction in microgravity. - Includes results on the influence of the entire complex of physical factors associated with spaceflight on a range of biological systems - Analyzes the impacts of microgravity, as well as electric and magnetic fields, on organisms - Covers pioneering investigations of plants, algae, animals, fish, microorganisms and tissue culture in space flights
This is an introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, empahsizing spaces with constant curvature. Chapters 1-4 provide basic notations for studying two-body dynamics. Chapter 5 deals with the problem of finding explicitly invariant expressions for the two-body quantum Hamiltonian. Chapter 6 addresses one-body problems in a central potential. Chapter 7 investigates the classical counterpart of the quantum system introduced in Chapter 5. Chapter 8 discusses applications in the quantum realm.
The Tarrasch Defence is one of the most ambitious ways to play against 1.d4. Black immediately fights for the centre, gets a lot of space and develops his pieces without many problems. Great fighters like Boris Spassky, Paul Keres and Garry Kasparov have played the Tarrasch Defence. Former Russian Champion Alexey Bezgodov has more than 30 years of experience with the Tarrasch and is one of the world’s greatest experts. The Art of the Tarrasch Defence is a deeply researched journey into the positional structures, the key moments in the fight for the initiative, the players and the variations. Bezgodov has injected his main line, the neglected Kasparov System, with a lot of surprising ideas and presents new ways to handle White’s offbeat variations. He also shows that quite a few lines for Black with a bad reputation are actually good. He teaches how the giants of chess have exploited the many dynamic possibilities of the Tarrasch Defence, and he includes plenty of practical exercises. This is a must-have book for fearless players who wish to surprise their opponents and who like to play aggressively with Black – but only with a reliable opening with a sound positional foundation.
This book describes an original approach to solving tasks of individual and collective choice: classification, ranking, and selection of multi-attribute objects. Object representation with multisets allows considering simultaneously numerical and symbolic variables. In group verbal decision analysis, judgments of all participants are taken into account without a compromise between contradictory. Natural language is used to describe problems and objects, formalize knowledge of experts and preferences of decision makers, and explain results. Verbal methods and technologies are more transparent, less laborious for a person, and weakly sensitive to measurement errors. The book also includes examples of applying new tools in real ill-structured high-dimensional choice tasks. It is intended for researchers, managers, consultants, analysts, and developers as well as for teachers and students of applied mathematics, computer science, information processing, engineering, economics, and management.
The structure of sedimentary basins of the Russian Arctic Seas is studied and illustrated by a number of maps, cross-sections and geophysical models. The calculated density models of the Earth crust illustrate the deep structure of the main blocks of the crust. Five major gas-condensate and gas fields are discovered here: three (Shtokman, Ludlov, Ledovoe) in the Barents and two (Leningrad and Rusanov) in the Kara Sea.Geological and geophysical characteristics of the Russian Arctic Sea sedimentary basins allow an estimation of their hydrocarbon potential by comparison with the known world analogues.Total potential resources of giant deposits of hydrocarbons in Russian Arctic Seas are estimated at 470 billion barrels of oil equivalent. The richest resources are the Kara Sea and Laptev Sea. Less rich is Barents Sea. The relatively smaller contribution to the overall estimation of the resources makes the resources of East-Siberian Sea and Chukchi Sea.Development the energy capacity of the continental shelf of Russia can play a stabilizing role in the dynamics of oil and gas production in the period 2010-2020. A key role in developing the capacity of the Arctic shelf oil and gas play is the innovative technology in exploration, production and management of the relevant investment projects. World offshore experience indicates that the combination of these factors is achieved through the formation of international firms and organizations. - Comprehensively assesses the potential oil and gas resources in sedimentary basins within the Russian sector of the Arctic Ocean - Describes the economic and legal challenges to the development of offshore fields in Russia - Explores possible ways and timing to maKe these hydrocarbon resources available to the global market
Applied Natural Science: Environmental Issues and Global Perspectives provides the reader with a complete insight into the natural-scientific pattern of the world, covering the most important historical stages of the development of various areas of science, methods of natural-scientific research, general scientific and philosophical concepts, and the fundamental laws of nature. The book analyzes the main scientific trends and developments of modern natural science and also discusses important aspects of environmental protection. Topics include: The problem of "the two cultures": the mathematization of natural sciences and the informatization of society The non-linear nature of the processes occurring in nature and society Application of the second law of thermodynamics to describe the development of biological systems Global problems of the biosphere Theory and practice of stable organic paramagnetic materials Polymers and the natural environment Key features include: An interdisciplinary approach in considering scientific and technical problems A discussion of general scientific trends in modern natural science, including globalization challenges in nature and society, the organic chemistry of stable paramagnetic materials, the fundamentals of the environmental chemistry of polymeric materials, etc. A justification of applying classical (non-equilibrium) thermodynamics to studying the behavior of open (including biological) systems Of particular importance in the book is the discussion of some problems associated with the place of man in the biosphere, issues of the globalization of science and technology, new ideas about the universe, and the concept of universal evolutionism. At the same time, the book discusses more specific issues related to solving major global and regional environmental problems (particularities of organic paramagnetic materials, the influence of polymers on the man and environment, etc). All this leads to the fundamental conclusion of the unity of animate and inanimate nature, as well as improvement of the process of cognition of the real world, which consists in objective and natural changing of world views. The book is intended for professors, teachers, and students of classical and technological universities who are interested in the development of the foundations of modern natural sciences, as well as for professionals working in the field of chemical physics and applied ecology.
The conflict in Chechnya, going through its low- and high-intensity phases, has been doggedly accompanying Russia's development. In the last decade, the Chechen war was widely covered, both in Russia and in the West. While most books look at the causes of the war, explain its zigzag course, and condemn the brutalities and crimes associated with it, this book is different. Its focus lies beyond the Caucasus battlefield. In Russia's Restless Frontier, Dmitri Trenin and Aleksei Malashenko examine the implications of the war with Chechnya for Russia's post-Soviet evolution. Considering Chechnya's impact on Russia's military, domestic politics, foreign policy, and ethnic relations, the authors contend that the Chechen factor must be addressed before Russia can continue its development.
This book provides readers with a solid understanding of the capabilities and limitations of the techniques used for buried object detection. Presenting theory along with applications and the existing technology, it covers the most recent developments in hardware and software technologies of sensor systems with a focus on primary sensors such as Ground Penetrating Radar (GPR) and auxiliary sensors such as Nuclear Quadruple Resonance (NQR). It is essential reading for students, practitioners, specialists, and academicians involved in the design and implementation of buried object detection sensors.
Chemometrics is the chemical discipline that uses mathematical, statistical and other methods employing formal logic: to design or select optimal measurement procedures and experiments, and -- to provide maximum relevant chemical information by analysing chemical data. Being conceived as a branch of analytical chemistry, chemometrics now is a general approach. It extracts relevant information out of measured data, regardless of their origin: chemical, physical, biological, etc. Chemometrics has been applied in different areas, and most successfully in multivariate calibration, pattern recognition, classification and discriminant analysis, multivariate modelling, and monitoring of processes. The main chemometric principle is a concept of hidden data structures that can be found using methods of multivariate data analysis. These are the well-known statistic tools such as partial least squares (PLS), soft independent modelling of class analogy (SIMCA), principal-component regression (PCR), wavelet analysis, and many others. Current activities of chemometricians fall into two main categories: (1) development of new methods for manipulating multivariate data and (2) new applications of the known chemometric techniques in different areas such as environment control, food industry, agriculture, medicine, and engineering.
This book provides an up-to-date overview of results in rigid body dynamics, including material concerned with the analysis of nonintegrability and chaotic behavior in various related problems. The wealth of topics covered makes it a practical reference for researchers and graduate students in mathematics, physics and mechanics. Contents Rigid Body Equations of Motion and Their Integration The Euler – Poisson Equations and Their Generalizations The Kirchhoff Equations and Related Problems of Rigid Body Dynamics Linear Integrals and Reduction Generalizations of Integrability Cases. Explicit Integration Periodic Solutions, Nonintegrability, and Transition to Chaos Appendix A : Derivation of the Kirchhoff, Poincaré – Zhukovskii, and Four-Dimensional Top Equations Appendix B: The Lie Algebra e(4) and Its Orbits Appendix C: Quaternion Equations and L-A Pair for the Generalized Goryachev – Chaplygin Top Appendix D: The Hess Case and Quantization of the Rotation Number Appendix E: Ferromagnetic Dynamics in a Magnetic Field Appendix F: The Landau – Lifshitz Equation, Discrete Systems, and the Neumann Problem Appendix G: Dynamics of Tops and Material Points on Spheres and Ellipsoids Appendix H: On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation Appendix I: The Hamiltonian Dynamics of Self-gravitating Fluid and Gas Ellipsoids
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