The purpose of the book is a dual one: to detail the nature and results of Tunguska investigations in the former USSR and present-day CIS, and to destroy two long-standing myths still held in the West. The first concerns alleged “final solutions” that have ostensibly been found in Russia or elsewhere. The second concerns the mistaken belief that there has been little or no progress in understanding the nature of the Tunguska phenomenon. All this is treated by the author in a scholarly and responsible manner. Although the book does present certain unusual findings of Russian and Ukrainian scholars, it is important to stress that this is not a sensational book; it is, rather, a serious exposition of the results of rational investigations into a difficult scientific problem. We are demonstrating the true complexity of the problem that is now entering its second century of existence. Simple meteoritic models cannot explain all the characteristics of this complicated event, and therefore certain so-called “unconventional hypotheses” about the nature of the Tunguska explosion are to be considered as well.
The purpose of this book is to describe the theory of Hankel operators, one of the most important classes of operators on spaces of analytic func tions. Hankel operators can be defined as operators having infinite Hankel matrices (i. e. , matrices with entries depending only on the sum of the co ordinates) with respect to some orthonormal basis. Finite matrices with this property were introduced by Hankel, who found interesting algebraic properties of their determinants. One of the first results on infinite Han kel matrices was obtained by Kronecker, who characterized Hankel matri ces of finite rank as those whose entries are Taylor coefficients of rational functions. Since then Hankel operators (or matrices) have found numerous applications in classical problems of analysis, such as moment problems, orthogonal polynomials, etc. Hankel operators admit various useful realizations, such as operators on spaces of analytic functions, integral operators on function spaces on (0,00), operators on sequence spaces. In 1957 Nehari described the bounded Hankel operators on the sequence space £2. This description turned out to be very important and started the contemporary period of the study of Hankel operators. We begin the book with introductory Chapter 1, which defines Hankel operators and presents their basic properties. We consider different realiza tions of Hankel operators and important connections of Hankel operators with the spaces BMa and V MO, Sz. -Nagy-Foais functional model, re producing kernels of the Hardy class H2, moment problems, and Carleson imbedding operators.
This book focuses on the non-traditional branches of physics and mechanics of shock waves that have arisen recently in connection with the intensive study of these waves in a wide variety of phenomena - from nuclear matter to clusters of galaxies. The book is devoted to the various physical phenomena and properties of intense shock waves. The author addresses methods of generation, diagnostics, as well as theoretical methods for describing shock waves at extremely high pressures and temperatures in laboratory and quasi-laboratory conditions. The state of materials with high energy density generated by shock wave compression is discussed. In addition, the book aims to systematize, generalize, and describe from a universal viewpoint the extensive theoretical and experimental material on the physics of high energy densities - the physics and mechanics of intense shock waves. The book is based on lectures delivered by the author at the Moscow Institute of Physics and Technology, the Higher School of Physics of Rosatom State Nuclear Energy Corporation, as well as overviews presented at many scientific conferences and symposia. It is useful to a wide range of researchers in natural sciences, giving them access to original works and allowing them to navigate the fascinating problems of the modern science of intense shock waves.
An introduction to the mechanics and mathematics of fracture for undergraduates in a wide range of fields, practical engineers, and other inquisitive readers with a background in at least the fundamentals of mechanics and mathematics. Describes the historical development of the fracture-mechanical concepts used today, and how these are applied in industry. Translated from the Russian; about half of the brief bibliography are works in Russian. Annotation copyrighted by Book News, Inc., Portland, OR
Presenting some of the most recent results of Russian research into shock compression, as well as historical overviews of the Russian research programs into shock compression, this volume will provide Western researchers with many novel ideas and points of view. The chapters in this volume are written by leading Russian specialists various fields of high-pressure physics and form accounts of the main researches on the behavior of matter under shock-wave interaction. The experimental portions contain results of studies of shock compression of metals to high and ultra-high pressure, shock initiation of polymorphic transformations, strength, fracture and fragmentation under shock compression, and detonation of condensed explosives. There are also chapters on theoretical investigations of shock-wave compression and plasma states in regimes of high-pressure and high- temperature. The topics of the book are of interest to scientists and engineers concerned with questions of material behavior under impulsive loading and to the equation of state of matter. Application is to questions of high-speed impact, inner composition of planets, verification of model representations of material behavior under extreme 1oading conditions, syntheses of new materials, development of new technologies for material processing, etc. Russian research differs from much of the Western work in that it has traditionally been wider-ranging and more directed to extremes of response than to precise characterization of specific materials and effects. Western scientists could expect to benefit from the perspective gained from close knowledge of the Russian work.
This book giving an exposition of the foundations of modern measure theory offers three levels of presentation: a standard university graduate course, an advanced study containing some complements to the basic course, and, finally, more specialized topics partly covered by more than 850 exercises with detailed hints and references. Bibliographical comments and an extensive bibliography with 2000 works covering more than a century are provided.
This book gives an exposition of the principal concepts and results related to second order elliptic and parabolic equations for measures, the main examples of which are Fokker–Planck–Kolmogorov equations for stationary and transition probabilities of diffusion processes. Existence and uniqueness of solutions are studied along with existence and Sobolev regularity of their densities and upper and lower bounds for the latter. The target readership includes mathematicians and physicists whose research is related to diffusion processes as well as elliptic and parabolic equations.
This monograph contains original results in the field of mathematical and numerical modeling of mechanical behavior of granular materials and materials with different strengths. It proposes new models helping to define zones of the strain localization. The book shows how to analyze processes of the propagation of elastic and elastic-plastic waves in loosened materials, and constructs models of mixed type, describing the flow of granular materials in the presence of quasi-static deformation zones. In a last part, the book studies a numerical realization of the models on multiprocessor computer systems. The book is intended for scientific researchers, lecturers of universities, post-graduates and senior students, who specialize in the field of the deformable materials mechanics, mathematical modeling and adjacent fields of applied and calculus mathematics.
This book represents the first ever published introduction to the comparative study of traditional Asian literatures, embracing three vast literary zones: Arab-Islamic, Indo-South East Asian and Sino-Far Eastern. The aim of the book is to outline the main properties of Asian literatures in the period of 'reflective traditionalism' (the early centuries CE to the first half of the 19th century), when the creation of a vast body of aesthetically significant works was coupled with the emergence of literary self-awareness: when the nature of the creative process, the poetics and functions of the literary works, and the ways of their influence on the reader were thoroughly comprehended and committed to writing for the first time. The book is intended for specialists in Asian literatures, comparative literature, and literary theory, and for students of these topics.
Playing blitz is one of the great joys in every chess player’s life. In modern times, faster time controls have become more important than ever. Every day, innumerable numbers of rated blitz and rapid games are being played in online and over-the-board competitions and championships. In blitz, even more than in ‘classical chess’, it is important to make the right decisions quickly and almost instinctively. That is why world-famous opening expert Grandmaster Evgeny Sveshnikov and his son, International Master Vladimir Sveshnikov, have created a chess opening repertoire for club players that is forcing, both narrow and deep, and aggressive. The aim is to be in control as much as possible. You want to be the one who decides which opening is going to be played, you want to dictate the technical and strategic choices. And you want to keep the pressure, increasing your opponent’s chances to stumble. In designing their repertoire, father and son Sveshnikov have made a crucial choice: they do not want you to end up in positions where finding the theoretically best move is all-important, but in positions where it is relatively easy to keep finding the moves with the greatest practical effect and use. If you play the lines the Sveshnikovs have selected, your results will improve. You may even end up playing their variations in ‘slow chess’ as well.
This book is devoted to Toeplitz and singular integral operators with symbols that have discontinuities of the oscillating type. Criteria for the normal solvability of such operators are established and several methods for describing the kernel and image spaces of the operators are presented. The approach is based on the idea of modelling discontinuities with an "infinite index" by appropriate inner functions, especially by infinite Blaschke products. The corresponding techniques have been elaborated by the authors during the last two decades, and they are applicable to both symbols with slowly and rapidly increasing arguments. Moreover, the book reveals exciting connections between invariant subspaces of the shift operator, bases in Banach spaces, and various classes of entire and meromorphic functions. The book aims at making advanced topics accessible to a broad readership. It is addressed to graduate and postgraduate students and to mathematicians interested in functional analysis, the theory of functions of a complex variable, or mathematical physics.
Despite generations of change and recent, rapid developments in gas dynamics and hypersonic theory, relevant literature has yet to catch up, so those in the field are generally forced to rely on dated monographs to make educated decisions that reflect present-day science. Written by preeminent Russian aerospace researcher Vladimir V. Lunev, Real Gas Flows with High Velocities reflects the most current concepts of high-velocity gas dynamics. For those in aviation and aerospace, this is a vital methodical revitalization and reassessment of real gas flows with regard to the physical and gasdynamic effects related to high-velocity flight, and, in particular, the entry of bodies into the atmosphere of Earth and other planets. Much more than just a manual on gas physics, this book: Analyzes fundamental challenges associated with super- and subsonic flight Describes the physical properties of gas mixtures and their associated high-temperature processes from the phenomenological standpoint Explores use of computational mathematics and equipment to simplify previously unsolvable problems of inviscid and viscous gas dynamics Explains why numerical methods remain inferior to analytical methods for creating a conceptual understanding of gas dynamic and other physical problems Avoiding older, cumbersome approximate methods, this reference outlines the general patterns and features of typical flows and how real gas affects them. Referencing simple, analytically treatable examples, similarity laws, and asymptotic analysis, the author omits superfluous explanation of reasoning. This valuable reference summarizes general theory of super- and subsonic flow and uses practical problems to develop a solid understanding of modern real-gas flows and high-velocity gas dynamics.
Giving mate is the ultimate goal of every chess player. Finding that all-decisive combination is immensely satisfying. But how are you supposed to spot a checkmate when you are sitting at the board with the clock ticking? In this guide International Master Vladimir Barsky teaches the method created by his mentor Viktor Khenkin (1923-2010). It’s based on an ingenious classification of the most frequently occurring mating schemes. A wide range of chess players will find it an extremely useful tool to recognize mating patterns and calculate the often narrow path to the kill. All the 1,000 examples (850 of them in exercise format) that Barsky presents are from games played in 21st century. He has carefully selected the most instructive combinations and lucidly explains the typical techniques to corner your opponent’s king. More often than you would expect, positions that look innocent at first sight, turn out to contain a mating pattern. This is not just another book full of chess puzzles. It’s a brilliantly organized course that has proven to be effective. Finding mate isn’t rocket science, but you need to know what to look for. Vladimir Barsky teaches you exactly that.
The various phenomena caused by refraction and diffraction of polarized elementary particles in matter have opened up a new research area in the particle physics: nuclear optics of polarized particles. Effects similar to the well-known optical phenomena such as birefringence and Faraday effects, exist also in particle physics, though the particle wavelength is much less than the distance between atoms of matter. Current knowledge of the quasi-optical effects, which exist for all particles in any wavelength range (and energies from low to extremely high), will enable us to investigate different properties of interacting particles (nuclei) in a new aspect. This pioneering book will provide detailed accounts of quasi-optical phenomena in the particle polarization, and will interest physicists and professionals in experimental particle physics.
Primer on Enhanced Oil Recovery gives the oil and gas market the introductory information it needs to cover the physical and chemical properties of hydrocarbon reservoir fluids and rock, drilling operations, rock-fluid interactions, recovery methods, and the economy of enhanced oil recovery projects. Beginning with introductory materials on basic physics and oil-rock interaction, the book then progresses into well-known types of EOR, such as gas injection and microbial EOR. Other sections cover hybrid EOR, smart water/low salinity and solar EOR. Worldwide case study examples give engineers the go-to starting point they need to understand the fundamentals of EOR techniques and data. - Discusses basic physics and chemistry in oil, oil-rock interaction, variation of oil, and interaction properties with temperature - Helps readers understand why and when EOR can be used - Includes data on EOR implementation and economics
This resource provides a comprehensive treatment of the methods, analysis, and practice of impulse and ultrawideband (UWB) systems. Sources, antennas, propagation, electromagnetic theory, and actual practical systems are explored.This book provides novel perspective on impulse and short-pulse wireless engineering along with practical guidance on how to build antennas and radio hardware for high-power impulse signals. Theoretical and experimental results in the time-frequency domain are presented. The book explains and discusses the scattering of UWB electromagnetic pulses by conducting and dielectric objects. Impulse responses of objects and propagation channels are explored with details of signal models and their spectral characteristics and uses of regularization of a Kramers-Kroning type relation for estimating transfer functions. Readers gain insight into the development of high-power sources of UWB radiation with megavolt effective potential on the base of combined antenna arrays excited with bipolar voltage pulses. This in-depth volume includes chapters on receiving antennas, transmitting antennas, and antenna arrays along with details on high-power UWB radiation sources as well as problem sets.
Focuses on the subject of modeling/simulation of WDM systems and networks and how it can be used on practical industry case studies to design systems/networks. This work provides a view on how simulation plays a critical role in the above task on various network layers.
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