Aa Vv's Books

Lasers with Nuclear Pumping

By: S.P. Melnikov,A.A. Sinyanskii,A.N. Sizov,George H. Miley

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Lasers with Nuclear Pumping

By: S.P. Melnikov,A.A. Sinyanskii,A.N. Sizov,George H. Miley

This book covers the history of lasers with nuclear pumping (Nuclear Pumped Lasers, NPLs). This book showcases the most important results and stages of NPL development in The Russian Federal Nuclear Center (VNIIEF) as well as other Russian and international laboratories, including laboratories in the United States. The basic science and technology behind NPLs along with potential applications are covered throughout the book. As the first comprehensive discussion of NPLs, students, researchers, and application engineers interested in high energy lasers will find this book to be an extremely valuable source of information about these unique lasers.

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472

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Springer

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ISBN 10

3319088823

ISBN 13

9783319088822

Laser Crystals

Their Physics and Properties

By: A. A. Kaminskii

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Laser Crystals

Their Physics and Properties

By: A. A. Kaminskii

The greatest reward for an author is the feeling of satisfaction he gets when it becomes clear to him that readers find his work useful. After my book appeared in the USSR in 1975 I received many letters from fellow physicists including colleagues from Western European countries and the USA. Some of those letters, as well as official reviews of the book, made specific sug gestions for improving the book. The satisfaction I derived from all those kind and warm responses gave me the determination to continue work on the book in order to fulfill these wishes in the next edition. This possibility arose when one of the scientific editors from Springer-Verlag, Heidelberg, H. Latsch, who is the founder of the well-known series of quasi-monographs "Topics in Applied Physics", visited our Institute and suggested an English edition of my book. For all this, and for his subsequent help, I am sincerely thankful. I consider it my pleasant duty also to express my gratitude to the American physicist H. F. Ivey, who served as scientific editor of the trans lation. The English version of the book retains the structure of the Russian edition, though it is supplemented with many new data in the tables and figures. It reflects trends in the development of the physics and spectroscopy of laser crystals in recent years.

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470

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Springer

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ISBN 10

3540348387

ISBN 13

9783540348382

Рост Кристаллоь / Rost Kristallov / Growth of Crystals

Volume 11

By: A. A. Chernov

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Рост Кристаллоь / Rost Kristallov / Growth of Crystals

Volume 11

By: A. A. Chernov

The Growth of Crystals series was begun in 1957 by A. V. Shubnikov and . N. N. SheftaP with the publication of the first volume. which contained the proceedings of the First All-Union Conference on Crystal Growth. The initiative and considerable efforts of the principal editor of the entire series. N. N. Sheftal', and his assistants led over the next 15 years to the publica tion of ten volumes which have assumed a leading position among the numerous books on crys tal growth. It has become traditional in this series to adopt a broad approach to crystal growth problems, and this approach is continued in Volumes 11 and 12, which are composed mainly of papers presented at the Fourth All-Union Conference on Crystal Growth in Tsakhkadzor. September 17-22, 1972. These papers, presented by both Soviet and foreign workers, deal with crystal growth processes. growth methods. and crystal perfection. Many of the papers reflect the tendency for our knowledge of crystallization processes to become increasingly more fundamental. with emphaSis on quantitative treatments. There are some extremely difficult problems in this approach. especially when the requirements of practical uses are envisaged. and many of these are discussed in various ways in these two volumes. These topics include detailed theoretical and experimental analysis of cooperative phenomena in crystallization. with emphasis not only on statistical thermodynamics but also statistical kinetics. This approach involves research on the structure and properties of phase boundaries. including the composition and structure of surface layers in liquids.

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388

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Springer Science & Business Media

Published Date

ISBN 10

1461571138

ISBN 13

9781461571131

Physical Properties of Polymers

By: A.A. Askadski

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Physical Properties of Polymers

By: A.A. Askadski

This volume presents a problem in determining the physical properties of polymers and thus makes it difficult to tackle the question of the synthesis of polymers with desired properties.

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356

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CRC Press

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ISBN 10

2884492208

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9782884492201

Asymptotic Theory of Nonlinear Regression

By: A.A. Ivanov

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Asymptotic Theory of Nonlinear Regression

By: A.A. Ivanov

Let us assume that an observation Xi is a random variable (r.v.) with values in 1 1 (1R1 , 8 ) and distribution Pi (1R1 is the real line, and 8 is the cr-algebra of its Borel subsets). Let us also assume that the unknown distribution Pi belongs to a 1 certain parametric family {Pi() , () E e}. We call the triple £i = {1R1 , 8 , Pi(), () E e} a statistical experiment generated by the observation Xi. n We shall say that a statistical experiment £n = {lRn, 8 , P; ,() E e} is the product of the statistical experiments £i, i = 1, ... ,n if PO' = P () X ... X P () (IRn 1 n n is the n-dimensional Euclidean space, and 8 is the cr-algebra of its Borel subsets). In this manner the experiment £n is generated by n independent observations X = (X1, ... ,Xn). In this book we study the statistical experiments £n generated by observations of the form j = 1, ... ,n. (0.1) Xj = g(j, (}) + cj, c c In (0.1) g(j, (}) is a non-random function defined on e , where e is the closure in IRq of the open set e ~ IRq, and C j are independent r. v .-s with common distribution function (dJ.) P not depending on ().

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333

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Springer Science & Business Media

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ISBN 10

9401588775

ISBN 13

9789401588775

Mathematics and Physics of Neutron Radiography

By: A.A. Harms,D.R. Wyman

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Mathematics and Physics of Neutron Radiography

By: A.A. Harms,D.R. Wyman

Neutron radiography has in recent years emerged as a useful and complementary technology for radiation diagnosis. It is now routinely used in industrial quality assurance and in support of selected research and developmental activities. Conferences are held on the subject, pertinent handbooks exist, and technical papers appear regularly reporting on new developments. While neutron radiography has indeed passed through the transition from a scientific curiosity to technological relevance, it is a sign of its continuing dynamic evolution that little material has appeared which provides an integrated mathematical and physical analysis of the subject possessing both an instructional as well as reference function. It is our hope that this monograph will fill this need. The distinctiveness of neutron radiography rests on the unique interactions between neutrons and nuclei. This leads to some special relationships between the material and geometrical properties of an object and the neutron radiographic image. The evolution of a technical discipline demands that specific conceptual constructs be developed and their mathematical representations examined and compared with controlled experiments. Experience has convinced us that a particular and substantial body of knowledge has accumulated endowing neutron radiography with the essential foundations of a unique mathematical and physical science. Our scientific and professional involvement in neutron radiography began some 15 years ago when the senior author (A.A.H.) found himself with convenient access to the McMaster University Nuclear Reactor and research support from the Government of Canada.

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192

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Springer Science & Business Media

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ISBN 10

9027721912

ISBN 13

9789027721914

Captured Soviet Generals

The Fate of Soviet Generals Captured in Combat 1941-45

By: A.A. Maslov

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Captured Soviet Generals

The Fate of Soviet Generals Captured in Combat 1941-45

By: A.A. Maslov

The true story of the fate of the captured Russian Generals after World War II, explaining how these officers endured horrific prison conditions and were then tried and executed when they returned home.

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366

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Routledge

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ISBN 10

1135274339

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9781135274337

Algebraic Structures In Automata And Database Theory

By: L Ja Greenglaz,A A Gvaramija,B I Plotkin

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Algebraic Structures In Automata And Database Theory

By: L Ja Greenglaz,A A Gvaramija,B I Plotkin

The book is devoted to the investigation of algebraic structure. The emphasis is on the algebraic nature of real automation, which appears as a natural three-sorted algebraic structure, that allows for a rich algebraic theory. Based on a general category position, fuzzy and stochastic automata are defined. The final chapter is devoted to a database automata model. Database is defined as an algebraic structure and this allows us to consider theoretical problems of databases.

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304

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World Scientific

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ISBN 10

9814505668

ISBN 13

9789814505666

Fractals, Applied Synergetics and Structure Design

By: V. S. Ivanova,V. U. Novikov,A. A. Oksogoev

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Fractals, Applied Synergetics and Structure Design

By: V. S. Ivanova,V. U. Novikov,A. A. Oksogoev

Non-linear systems behaviours are discussed in this book from the point of new scientific approaches to the interdiscipline nature of the fractal geometry and synergetics. Fractal analysis, synergetics methods and mathematical design are considered according to actual problems of condensed media physics, mechanics, material science and geology.

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272

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Nova Publishers

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ISBN 10

1590339649

ISBN 13

9781590339640

Role of Internal Friction in Dynamic Analysis of Structures

Russian Translations Series 81

By: A.A. Kusainov,A.I. Tseitlin

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Role of Internal Friction in Dynamic Analysis of Structures

Russian Translations Series 81

By: A.A. Kusainov,A.I. Tseitlin

Improvement in the methods of analysis of structures, machines, aircrafts and ships is one of the most important problems in engineering today. The computational aspects of this problem are being tackled successfully due to developments in computer science. However, for an adequate description of the physical properties of structures, especially those made of newer, non- traditional materials, it is essential to further study their behaviour under different load and kinematic conditions and to develop appropriate physical models that provide a comprehensive and correct description of the actual state of deformation. The objective of this book is to adopt a unified approach for describing the large number of models of internal friction and to offer recommendations regarding the methods of taking it into account at the time of dynamic analysis. It is also intended to provide a comprehensive analysis of the various models, accompanied by detailed solutions of specific problems, which could serve as examples for dynamic analysis of real structures taking into account the effect of internal friction.

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226

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Routledge

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ISBN 10

1351417959

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9781351417952

Asymptotic Analysis of Random Walks: Light-Tailed Distributions

By: A.A. Borovkov

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Asymptotic Analysis of Random Walks: Light-Tailed Distributions

By: A.A. Borovkov

A systematic modern treatise on large deviation theory for random walks with light tails, from one of its key creators.

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437

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Cambridge University Press

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ISBN 10

1107074681

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9781107074682

Applications of Group-Theoretical Methods in Hydrodynamics

By: V.K. Andreev,O.V. Kaptsov,Vladislav V. Pukhnachev,A.A. Rodionov

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Applications of Group-Theoretical Methods in Hydrodynamics

By: V.K. Andreev,O.V. Kaptsov,Vladislav V. Pukhnachev,A.A. Rodionov

It was long ago that group analysis of differential equations became a powerful tool for studying nonlinear equations and boundary value problems. This analysis was especially fruitful in application to the basic equations of mechanics and physics because the invariance principles are already involved in their derivation. It is in no way a coincidence that the equations of hydrodynamics served as the first object for applying the new ideas and methods of group analysis which were developed by 1. V. Ovsyannikov and his school. The authors rank themselves as disciples of the school. The present monograph deals mainly with group-theoretic classification of the equations of hydrodynamics in the presence of planar and rotational symmetry and also with construction of exact solutions and their physical interpretation. It is worth noting that the concept of exact solution to a differential equation is not defined rigorously; different authors understand it in different ways. The concept of exact solution expands along with the progress of mathematics (solu tions in elementary functions, in quadratures, and in special functions; solutions in the form of convergent series with effectively computable terms; solutions whose searching reduces to integrating ordinary differential equations; etc. ). We consider it justifiable to enrich the set of exact solutions with rank one and rank two in variant and partially invariant solutions to the equations of hydrodynamics.

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408

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Springer Science & Business Media

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ISBN 10

9401707456

ISBN 13

9789401707459

Radiation Effects in Silicon Carbide

By: A.A. Lebedev

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Radiation Effects in Silicon Carbide

By: A.A. Lebedev

The book reviews the most interesting research concerning the radiation defects formed in 6H-, 4H-, and 3C-SiC under irradiation with electrons, neutrons, and some kinds of ions. The electrical parameters that make SiC a promising material for applications in modern electronics are discussed in detail. Specific features of the crystal structure of SiC are considered. It is shown that, when wide-bandgap semiconductors are studied, it is necessary to take into account the temperature dependence of the carrier removal rate, which is a standard parameter for determining the radiation hardness of semiconductors. The carrier removal rate values obtained by irradiation of various SiC polytypes with n- and p-type conductivity are analyzed in relation to the type and energy of the irradiating particles. The influence exerted by the energy of charged particles on how radiation defects are formed and conductivity is compensated in semiconductors under irradiation is analyzed. Furthermore, the possibility to produce controlled transformation of silicon carbide polytype is considered. The involvement of radiation defects in radiative and nonradiative recombination processes in SiC is analyzed. Data are also presented regarding the degradation of particular SiC electronic devices under the influence of radiation and a conclusion is made regarding the radiation resistance of SiC. Lastly, the radiation hardness of devices based on silicon and silicon carbide are compared.

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172

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Materials Research Forum LLC

Published Date

ISBN 10

1945291117

ISBN 13

9781945291111

Fundamentals of the Theory of Metals

By: A. A. Abrikosov

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Fundamentals of the Theory of Metals

By: A. A. Abrikosov

Primer by a Nobel Prize-winning physicist covers the electronic spectra of metals, electrical and thermal conductivities, galvanomagnetic and thermoelectrical phenomena, behavior of metals in high-frequency fields, sound absorption, and Fermi-liquid phenomena. 1988 edition.

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641

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Courier Dover Publications

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ISBN 10

0486825760

ISBN 13

9780486825762

Branching Solutions to One-dimensional Variational Problems

By: Alexander O. Ivanov,A. A. Tuzhilin

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Branching Solutions to One-dimensional Variational Problems

By: Alexander O. Ivanov,A. A. Tuzhilin

This book deals with the new class of one-dimensional variational problems OCo the problems with branching solutions. Instead of extreme curves (mappings of a segment to a manifold) we investigate extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented, such as several generalizations of the famous Steiner problem of finding the shortest network spanning given points of the plane. Contents: Preliminary Results; Networks Extremality Criteria; Linear Networks in R N; Extremals of Length Type Functionals: The Case of Parametric Networks; Extremals of Functionals Generated by Norms. Readership: Researchers in differential geometry and topology.

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365

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World Scientific

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ISBN 10

9812810714

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9789812810717

Advances in Multi-Photon Processes and Spectroscopy

By: S. H. Lin,A. A. Villaeys

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Advances in Multi-Photon Processes and Spectroscopy

By: S. H. Lin,A. A. Villaeys

In view of the rapid growth in both experimental and theoretical studies of multi-photon processes and multi-photon spectroscopy of atoms, ions and molecules in chemistry, physics, biology, materials science, etc., it is desirable to publish an advanced series of volumes containing review papers that can be read not only by active researchers in these areas, but also by those who are not experts but who intend to enter the field. The present series aims to serve this purpose. Each review article is written in a self-contained manner by the expert(s) in the area, so that the reader can grasp the knowledge without too much preparation.

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441

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World Scientific

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ISBN 10

981024519X

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9789810245191

Structure and Properties of Lengthy Rails after Extreme Long-Term Operation

By: A.A. Yuriev,V.E. Gromov,Yu.F. Ivanov,Yu.A. Rubannikova,M.D. Starostenkov,P.Y. Tabakov

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Structure and Properties of Lengthy Rails after Extreme Long-Term Operation

By: A.A. Yuriev,V.E. Gromov,Yu.F. Ivanov,Yu.A. Rubannikova,M.D. Starostenkov,P.Y. Tabakov

The long-term operation of rails has been studied with focus on (1) the formation and behavior of structural-phase states and nanoscale structures, (2) the modelling of the processes occurring in the surface layers of rails under severe plastic deformation and (3) the methods and techniques for assessing the structural and phase states of rails, internal stresses, and their evolution during the life cycle. The book references 264 original resources and includes their direct web link for in-depth reading. Keywords: Long Rails, Long-term Operation, Transmission Electron Microscopy, Steel, Differentiated Hardening, Structural Phase States, Nanoscale Structures, Wear, Deformation Effects, Recrystallization, Segregation, Homogenization, Relaxation, Phase Transitions, Phase Decomposition, Amorphization, Sintering, Filling of Micro- and Nanopores, Nanocapillaries, Severe Plastic Deformation, Megaplastic Deformation.

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192

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Materials Research Forum LLC

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ISBN 10

1644901471

ISBN 13

9781644901472

Seismic Effects of Blasting in Rock

By: A.A. Dauetas

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Seismic Effects of Blasting in Rock

By: A.A. Dauetas

The results of theoretical and experimental investigations of seismic waves depending on natural and technological factors are discussed, with methods for engineering calculations of industrial blast parameters.

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192

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Routledge

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ISBN 10

1351417169

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9781351417167

A Biblical Theology of Gerassapience

By: Joel A. A. Ajayi

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A Biblical Theology of Gerassapience

By: Joel A. A. Ajayi

Ancient cultures, such as that of the Hebrews, commonly associated wisdom with advanced years. In A Biblical Theology of Gerassapience the author investigates the validity of this correlation through an eclectic approach - including linguistic semantic, tradition-historical, and socio-anthropological methods - to pertinent biblical and extra-biblical texts. There are significant variations in the estimation of gerassapience (or «old-age wisdom») in each period of ancient Israel's life - that is, in pre-monarchical, monarchical, and post-monarchical Israel. Throughout this study, appropriate cross-cultural parallels are drawn from the cultures of ancient Israel's neighbors and of modern societies, such as the West African Yoruba tribe. The overall results are bi-dimensional. On the one hand, there are semantic elements of gerassapience, such as the elusiveness of «wisdom» and the mild fluidity of «old age». Both terms have strong contextual affinity with minimal exceptions. Thus, the attribution of wisdom to old age is evident but not absolute in the Hebrew Bible (Old Testament). On the other hand, gerassapience is depicted as primarily didactic, through direct and indirect instructions and counsels of the elderly, fostering the saging fear-of-Yahweh legacies. On the whole, socio-anthropocentric tendencies of gerassapience (that is, of making old age a repertoire of wisdom) are checked by theological warrants of theosapience (Yahwistic wisdom). Therefore, in the Hebrew Bible, the fear of Yahweh is also the beginning of growing old and wise.

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288

Publisher

Peter Lang

Published Date

ISBN 10

1433107856

ISBN 13

9781433107856

Computational Methods for Kinetic Models of Magnetically Confined Plasmas

By: J. Killeen,G.D. Kerbel,M.G. McCoy,A.A. Mirin

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Computational Methods for Kinetic Models of Magnetically Confined Plasmas

By: J. Killeen,G.D. Kerbel,M.G. McCoy,A.A. Mirin

Because magnetically confined plasmas are generally not found in a state of thermodynamic equilibrium, they have been studied extensively with methods of applied kinetic theory. In closed magnetic field line confinement devices such as the tokamak, non-Maxwellian distortions usually occur as a result of auxiliary heating and transport. In magnetic mirror configurations even the intended steady state plasma is far from local thermodynamic equilibrium because of losses along open magnetic field lines. In both of these major fusion devices, kinetic models based on the Boltzmann equation with Fokker-Planck collision terms have been successful in representing plasma behavior. The heating of plasmas by energetic neutral beams or microwaves, the production and thermalization of a-particles in thermonuclear reactor plasmas, the study of runaway electrons in tokamaks, and the performance of two-energy compo nent fusion reactors are some examples of processes in which the solution of kinetic equations is appropriate and, moreover, generally necessary for an understanding of the plasma dynamics. Ultimately, the problem is to solve a nonlinear partial differential equation for the distribution function of each charged plasma species in terms of six phase space variables and time. The dimensionality of the problem may be reduced through imposing certain symmetry conditions. For example, fewer spatial dimensions are needed if either the magnetic field is taken to be uniform or the magnetic field inhomogeneity enters principally through its variation along the direction of the field.

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208

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Springer Science & Business Media

Published Date

ISBN 10

3642859542

ISBN 13

9783642859540

Capacity and Transport in Contrast Composite Structures

Asymptotic Analysis and Applications

By: A. A. Kolpakov,A. G. Kolpakov

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Capacity and Transport in Contrast Composite Structures

Asymptotic Analysis and Applications

By: A. A. Kolpakov,A. G. Kolpakov

Is it possible to apply a network model to composites with conical inclusions? How does the energy pass through contrast composites? Devoted to the analysis of transport problems for systems of densely packed, high-contrast composite materials, Capacity and Transport in Contrast Composite Structures: Asymptotic Analysis and Applications answers questions such as these and presents new and modified asymptotic methods for real-world applications in composite materials development. A mathematical discussion of phenomena related to natural sciences and engineering, this book covers historical developments and new progress in mathematical calculations, computer techniques, finite element computer programs, and presentation of results of numerical computations. The "transport problem"—which is described with scalar linear elliptic equations—implies problems of thermoconductivity, diffusion, and electrostatics. To address this "problem," the authors cover asymptotic analysis of partial differential equations, material science, and the analysis of effective properties of electroceramics. Providing numerical calculations of modern composite materials that take into account nonlinear effects, the book also: Presents results of numerical analysis, demonstrating specific properties of distributions of local fields in high-contrast composite structures and systems of closely placed bodies Assesses whether total flux, energy, and capacity exhaust characteristics of the original continuum model Illustrates the expansion of the method for systems of bodies to highly filled contrast composites This text addresses the problem of loss of high-contrast composites, as well as transport and elastic properties of thin layers that cover or join solid bodies. The material presented will be particularly useful for applied mathematicians interested in new methods, and engineers dealing with prospective materials and design methods.

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335

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CRC Press

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ISBN 10

1439801762

ISBN 13

9781439801765

Mathematics and the 21st Century

Proceedings of the International Conference, Cairo, Egypt, 15-20 January 2000

By: A. A. Ashour,A.-S. F. Obada

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Mathematics and the 21st Century

Proceedings of the International Conference, Cairo, Egypt, 15-20 January 2000

By: A. A. Ashour,A.-S. F. Obada

The Conference on "Mathematics and the 21st Century" was held in Cairo, Egypt during the period 15-20 January 2000. The conference's sessions consisted of plenary lectures and topical sessions. Some of the plenary lectures covered general fields such as: rewriting the history of mathematics; education of mathematics; relation between mathematics and sciences; and mathematical aspects of transportation.

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412

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World Scientific

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ISBN 10

9812810242

ISBN 13

9789812810243

High-Power Laser Radiation in Atmospheric Aerosols

Nonlinear Optics of Aerodispersed Media

By: V.E. Zuev,A.A. Zemlyanov,Yu.D. Kopytin,A.V. Kuzikovskii

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High-Power Laser Radiation in Atmospheric Aerosols

Nonlinear Optics of Aerodispersed Media

By: V.E. Zuev,A.A. Zemlyanov,Yu.D. Kopytin,A.V. Kuzikovskii

Unique properties of laser radiation including its monochromatic properties, polarization, high spectral intensity, coherence, narrow beam divergence, the possibility of controlling the pulse duration and radiation spectrum and, finally, the fact that extremely high power and energy create very favorable conditions for the extensive application of lasers to communi cation systems, systems for the lidar sensing and ultra-high-precision ranging, navigation, remote monitoring of the environment, and many other systems operating in the atmosphere. The operative efficiency of the above systems depends significantly on the state of the atmosphere and the corresponding behavior of laser radia tion propagating through it. This circumstance has stimulated the studies of the above regularities during the passt 10-15 years. For the investiga tions to be carried out the scientists were forced to develop new theories and methods for studying the problem experimentally. Moreover, during such investigations some previously unknown phenomena were observed, among them the nonlinear effects accompanying high-power laser radiation propagating through the atmosphere are of paramount importance. Among the nonlinear effects caused by high-power laser radiation inter action with the atmosphere, the effects accompanying the propagation of high-power radiation through the atmospheric aerosols are of particular interest. Aerosols always occur in the atmosphere. It should be noted that the microphysical and optical characteristics of atmospheric aerosols vary widely, this fact causes a great variety in the features of their inter action with radiation.

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303

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Springer Science & Business Media

Published Date

ISBN 10

9400952198

ISBN 13

9789400952195

Modern Crystallography III

Crystal Growth

By: A.A. Chernov

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Modern Crystallography III

Crystal Growth

By: A.A. Chernov

Early in this century, the newly discovered x-ray diffraction by crystals made a complete change in crystallography and in the whole science of the atomic structure of matter, thus giving a new impetus to the development of solid-state physics. Crystallographic methods, pri marily x-ray diffraction analysis, penetrated into materials sciences, mol ecular physics, and chemistry, and also into many other branches of science. Later, electron and neutron diffraction structure analyses be came important since they not only complement x-ray data, but also supply new information on the atomic and the real structure of crystals. Electron microscopy and other modern methods of investigating mat ter-optical, electronic paramagnetic, nuclear magnetic, and other res onance techniques-yield a large amount of information on the atomic, electronic, and real crystal structures. Crystal physics has also undergone vigorous development. Many re markable phenomena have been discovered in crystals and then found various practical applications. Other important factors promoting the development of crystallog raphy were the elaboration of the theory of crystal growth (which brought crystallography closer to thermodynamics and physical chem istry) and the development of the various methods of growing synthetic crystals dictated by practical needs. Man-made crystals became increas ingly important for physical investigations, and they rapidly invaded technology. The production . of synthetic crystals made a tremendous impact on the traditional branches: the mechanical treatment of mate rials, precision instrument making, and the jewelry industry.

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538

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Springer Science & Business Media

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ISBN 10

3642818358

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9783642818356

Bäcklund and Darboux Transformations

The Geometry of Solitons : AARMS-CRM Workshop, June 4-9, 1999, Halifax, N.S., Canada

By: A. A. Coley

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Bäcklund and Darboux Transformations

The Geometry of Solitons : AARMS-CRM Workshop, June 4-9, 1999, Halifax, N.S., Canada

By: A. A. Coley

This book is devoted to a classical topic that has undergone rapid and fruitful development over the past 25 years, namely Backlund and Darboux transformations and their applications in the theory of integrable systems, also known as soliton theory. The book consists of two parts. The first is a series of introductory pedagogical lectures presented by leading experts in the field. They are devoted respectively to Backlund transformations of Painleve equations, to the dressing methodand Backlund and Darboux transformations, and to the classical geometry of Backlund transformations and their applications to soliton theory. The second part contains original contributions that represent new developments in the theory and applications of these transformations. Both the introductorylectures and the original talks were presented at an International Workshop that took place in Halifax, Nova Scotia (Canada). This volume covers virtually all recent developments in the theory and applications of Backlund and Darboux transformations.

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458

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American Mathematical Soc.

Published Date

ISBN 10

0821828037

ISBN 13

9780821828038

Equations of Mathematical Physics

By: A. N. Tikhonov,A. A. Samarskii

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Equations of Mathematical Physics

By: A. N. Tikhonov,A. A. Samarskii

Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents: I. Classification of Partial Differential Equations II. Evaluations of the Hyperbolic Type III. Equations of the Parabolic Type IV. Equations of Elliptic Type V. Wave Propagation in Space VI. Heat Conduction in Space VII. Equations of Elliptic Type (Continuation) The authors — two well-known Russian mathematicians — have focused on typical physical processes and the principal types of equations dealing with them. Special attention is paid throughout to mathematical formulation, rigorous solutions, and physical interpretation of the results obtained. Carefully chosen problems designed to promote technical skills are contained in each chapter, along with extremely useful appendixes that supply applications of solution methods described in the main text. At the end of the book, a helpful supplement discusses special functions, including spherical and cylindrical functions.

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802

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Courier Corporation

Published Date

ISBN 10

0486173364

ISBN 13

9780486173368

Power System Control and Stability

By: Vijay Vittal,James D. McCalley,Paul M. Anderson,A. A. Fouad

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Power System Control and Stability

By: Vijay Vittal,James D. McCalley,Paul M. Anderson,A. A. Fouad

The third edition of the landmark book on power system stability and control, revised and updated with new material The revised third edition of Power System Control and Stability continues to offer a comprehensive text on the fundamental principles and concepts of power system stability and control as well as new material on the latest developments in the field. The third edition offers a revised overview of power system stability and a section that explores the industry convention of q axis leading d axis in modeling of synchronous machines. In addition, the third edition focuses on simulations that utilize digital computers and commercial simulation tools, it offers an introduction to the concepts of the stability analysis of linear systems together with a detailed formulation of the system state matrix. The authors also include a revised chapter that explores both implicit and explicit integration methods for transient stability. Power System Control and Stability offers an in-depth review of essential topics and: Discusses topics of contemporary and future relevance in terms of modeling, analysis and control Maintains the approach, style, and analytical rigor of the two original editions Addresses both power system planning and operational issues in power system control and stability Includes updated information and new chapters on modeling and simulation of round-rotor synchronous machine model, excitation control, renewable energy resources such as wind turbine generators and solar photovoltaics, load modeling, transient voltage instability, modeling and representation of three widely used FACTS devices in the bulk transmission network, and the modeling and representation of appropriate protection functions in transient stability studies Contains a set of challenging problems at the end of each chapter Written for graduate students in electric power and professional power system engineers, Power System Control and Stability offers an invaluable reference to basic principles and incorporates the most recent techniques and methods into projects.

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835

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John Wiley & Sons

Published Date

ISBN 10

1119433711

ISBN 13

9781119433712

Mathematical Modelling and Computer Simulation of Biomechanical Systems

By: A. V. Zinkovsky,V. A. Sholuha,A. A. Ivanov

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Mathematical Modelling and Computer Simulation of Biomechanical Systems

By: A. V. Zinkovsky,V. A. Sholuha,A. A. Ivanov

The book presents a new scientific approach to the problem of biomechanical systems description.This approach is based on development of a universal anthropomorphic model and employment of methodology of imitational dynamic modeling (IDM). The novelty of this approach is that there appears a possibility to operate with a whole class of models, derived from the universal model on the basis of motion separation principle. This is followed by utilization of iterational procedures realizing the method of successive approximations and resulting in description of the real motion with the pre-set accuracy level. By use of the IDM there has been for the first time ascertained certain laws governing human locomotions: presence of so-called controlling and stabilizing interlink moments, wavelike speeding of forces extremums along the kinematic chain, adaptation of control functions for astronauts motion coordination preservation. The book includes new theoretical conceptions explaining the deterioration of functional state of skeletal-muscular apparatus of astronauts due to zero-gravity influence.

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224

Publisher

World Scientific

Published Date

ISBN 10

9810223951

ISBN 13

9789810223953

Asymptotic Analysis of Random Walks

Light-Tailed Distributions

By: A. A. Borovkov

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Asymptotic Analysis of Random Walks

Light-Tailed Distributions

By: A. A. Borovkov

This is a companion book to Asymptotic Analysis of Random Walks: Heavy-Tailed Distributions by A.A. Borovkov and K.A. Borovkov. Its self-contained systematic exposition provides a highly useful resource for academic researchers and professionals interested in applications of probability in statistics, ruin theory, and queuing theory. The large deviation principle for random walks was first established by the author in 1967, under the restrictive condition that the distribution tails decay faster than exponentially. (A close assertion was proved by S.R.S. Varadhan in 1966, but only in a rather special case.) Since then, the principle has always been treated in the literature only under this condition. Recently, the author jointly with A.A. Mogul'skii removed this restriction, finding a natural metric for which the large deviation principle for random walks holds without any conditions. This new version is presented in the book, as well as a new approach to studying large deviations in boundary crossing problems. Many results presented in the book, obtained by the author himself or jointly with co-authors, are appearing in a monograph for the first time.

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437

Publisher

Cambridge University Press

Published Date

ISBN 10

1108901204

ISBN 13

9781108901208

Statistical Analysis of Random Fields

By: A.A. Ivanov,Nikolai Leonenko

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Statistical Analysis of Random Fields

By: A.A. Ivanov,Nikolai Leonenko

Et moi, ...* si j'avait su comment en revcnir. One service mathematics has rendered the je n'y scrais point aile.' human race. It has put common sense back where it belongs, on the topmost shclf next Jules Verne to the dusty canister labdlcd 'discarded non· The series is divergent; therefore we may be sense'. able to do something with it Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

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264

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Springer Science & Business Media

Published Date

ISBN 10

9027728003

ISBN 13

9789027728005

Probability Theory

By: A A Borovkov

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Probability Theory

By: A A Borovkov

Probability theory forms the basis of mathematical statistics, and has applications in many related areas. This comprehensive book tackles the principal problems and advanced questions of probability theory in 21 self-contained chapters, which are presented in logical order, but are also easy to deal with individually. The book is further distinguished by the inclusion of clear and illustrative proofs of the fundamental results. Probability theory is currently an extremely active area of research internationally, and the importance of the Russian school in the development of the subject has long been recognized. The frequent references to Russian literature throughout this work lend a fresh dimension to the book, and make it an invaluable source of reference for Western researchers and advanced students in probability related subjects.

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488

Publisher

CRC Press

Published Date

ISBN 10

9056990462

ISBN 13

9789056990466

Disorder and Order in Strongly Nonstoichiometric Compounds

Transition Metal Carbides, Nitrides and Oxides

By: A.I. Gusev,A.A. Rempel,A.J. Magerl

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Disorder and Order in Strongly Nonstoichiometric Compounds

Transition Metal Carbides, Nitrides and Oxides

By: A.I. Gusev,A.A. Rempel,A.J. Magerl

Deals with the influence of stoiciometry and order/disorder on materials properties. It summarizes the knowledge available in a comprehensive way.

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618

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Springer Science & Business Media

Published Date

ISBN 10

3662045826

ISBN 13

9783662045824

The legend of Robin Hood

con audiolibro

By: AA.VV.

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The legend of Robin Hood

con audiolibro

By: AA.VV.

I grandi classici della letteratura angloamericana, per chi conosce già le basi dell'inglese. In appendice, la traduzione, tanti giochi, un dizionario e l'audiolibro per ascoltare la pronuncia. L'avventurosa storia di Robin Hood e dei suoi valorosi compagni!

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Giunti

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ISBN 13

9791223203040

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