This book is devoted to one of the main problems of modern electrical power engineering—power transformer diagnostics. The first three chapters discuss the fundamentals: The first chapter presents the physical reasons for power transformers’ failures and the technical and economic consequences of disruption of the normal operation. The second chapter reviews the standard technologies for monitoring the state of the high-voltage transformers. The third chapter tells about monitoring the condition of transformer windings based on the pulse method. The fourth chapter presents the technologies for transformer windings condition controlled by means of nanosecond pulses. The stages of improving the pulsed method based on a short probing pulse of the nanosecond range, the results of experiments on identifying the radial and axial displacements of the winding, studies of the effect of the duration and shape of the probing pulse on the sensitivity of the diagnostic procedure, and the stages of developing a mathematical as well as physical model of a power transformer are consistently presented.
The Things of Life is a social and cultural history of material objects and spaces during the late socialist era. It traces the biographies of Soviet things, examining how the material world of the late Soviet period influenced Soviet people's gender roles, habitual choices, social trajectories, and imaginary aspirations. Instead of seeing political structures and discursive frameworks as the only mechanisms for shaping Soviet citizens, Alexey Golubev explores how Soviet people used objects and spaces to substantiate their individual and collective selves. In doing so, Golubev rediscovers what helped Soviet citizens make sense of their selves and the world around them, ranging from space rockets and model aircraft to heritage buildings, and from home gyms to the hallways and basements of post-Stalinist housing. Through these various materialist fascinations, The Things of Life considers the ways in which many Soviet people subverted the efforts of the Communist regime to transform them into a rationally organized, disciplined, and easily controllable community. Golubev argues that late Soviet materiality had an immense impact on the organization of the Soviet historical and spatial imagination. His approach also makes clear the ways in which the Soviet self was an integral part of the global experience of modernity rather than simply an outcome of Communist propaganda. Through its focus on materiality and personhood, The Things of Life expands our understanding of what made Soviet people and society "Soviet.
The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations. It covers the commonly encountered quantum groups (including Yangians). The second main goal of the book is to present a differential geometry of coset spaces that is actively used in investigations of models of quantum field theory, gravity and statistical physics. The third goal is to explain the main ideas about the theory of conformal symmetries, which is the basis of the AdS/CFT correspondence.The theory of groups and symmetries is an important part of theoretical physics. In elementary particle physics, cosmology and related fields, the key role is played by Lie groups and algebras corresponding to continuous symmetries. For example, relativistic physics is based on the Lorentz and Poincare groups, and the modern theory of elementary particles — the Standard Model — is based on gauge (local) symmetry with the gauge group SU(3) x SU(2) x U(1). This book presents constructions and results of a general nature, along with numerous concrete examples that have direct applications in modern theoretical and mathematical physics.
This book is a sequel to the book by the same authors entitled Theory of Groups and Symmetries: Finite Groups, Lie Groups, and Lie Algebras.The presentation begins with the Dirac notation, which is illustrated by boson and fermion oscillator algebras and also Grassmann algebra. Then detailed account of finite-dimensional representations of groups SL(2, C) and SU(2) and their Lie algebras is presented. The general theory of finite-dimensional irreducible representations of simple Lie algebras based on the construction of highest weight representations is given. The classification of all finite-dimensional irreducible representations of the Lie algebras of the classical series sℓ(n, C), so(n, C) and sp(2r, C) is exposed.Finite-dimensional irreducible representations of linear groups SL(N, C) and their compact forms SU(N) are constructed on the basis of the Schur-Weyl duality. A special role here is played by the theory of representations of the symmetric group algebra C[Sr] (Schur-Frobenius theory, Okounkov-Vershik approach), based on combinatorics of Young diagrams and Young tableaux. Similar construction is given for pseudo-orthogonal groups O(p, q) and SO(p, q), including Lorentz groups O(1, N-1) and SO(1, N-1), and their Lie algebras, as well as symplectic groups Sp(p, q). The representation theory of Brauer algebra (centralizer algebra of SO(p, q) and Sp(p, q) groups in tensor representations) is discussed.Finally, the covering groups Spin(p, q) for pseudo-orthogonal groups SO↑(p, q) are studied. For this purpose, Clifford algebras in spaces Rp, q are introduced and representations of these algebras are discussed.
This extraordinary book charts the development of Russia’s relations with the Middle East from the 1950s to the present. It covers both high and low points – the closeness to Nasser’s Egypt, followed by reversal; the successful invasion of Afghanistan which later turned into a disaster; the changing relationship with Israel which was at some time surprisingly close; the relationship with Syria, which continues to be of huge significance; and much more. Written by one of Russia’s leading Arabists who was himself involved in the formation and implementation of policy, the book is engagingly written, extremely insightful, telling us things which only the author is in a position to tell us, and remarkably frank, not sparing senior Soviet and Russian figures from criticism. The book includes material based on the author’s conversations with other leading participants.
This book is based on our two books, published in the USSR and translated in a number of other countries Conservation of living nature: problems and perspectives (1983) and The levels of conservation of living nature (1985). It differs from the vast majority of the numerous books on conservation and environment, which are mainly devoted either to specific problems of conservation of certain taxons, or to problems of conservation of prescribed regions, or to general issues of environmental conservation in toto, while the problems of the conservation of living nature are represented only to a small degree. Our book is one of the volumes - at present not numerous - that place a high value on the diversity ofliving nature as the basis for the existence and development of mankind on the Earth. Living nature, besides its own intrinsic value, at all times was, is now and will ever remain the sole, unique and indispensable resource and provider for mankind.
The use of mathematical modeling in engineering allows for a significant reduction of material costs associated with design, production, and operation of technical objects, but it is important for an engineer to use the available computational approaches in modeling correctly. Taking into account the level of modern computer technology, this new vo
‘Fortresses must carry out the same tasks as the fortresses of old....They must allow themselves to be surrounded and thus tie down as many enemy forces as possible.’ So Hitler directed in March 1944 and, in so doing, sealed the fate of Ternopol', Kovel', Poznan and Breslau, cities in the Ukraine and Poland that were in the path of the Red Army’s advance towards Nazi Germany. German forces, under orders to resist at all costs, adopted all-round defence and struggled to hold out while waiting for relief – which never came. In this gripping and original book, Alexey Isaev describes, in vivid detail, what happened next –intense and ruthless fighting, horrendous casualties among soldiers and civilians, the fabric of these historic cities torn apart. His account is based on pioneering archival research which offers us an unrivalled insight into the tactics on both sides, the experience of the close-quarter fighting in the streets and houses, and the dreadful aftermath. At the same time he shows why these cities were chosen and how the wider war passed them by as the Wehrmacht retreated and the battlefront moved westward. Each of these cities suffered a similar fate to Stalingrad but their story has never been told before in such graphic and circumstantial detail.
“A fresh look at what is perhaps the most famous battle of the Russo-German War from the Soviet perspective.” —The NYMAS Review Much has been written about the Battle of Stalingrad, the Soviet victory that turned the tide of the Second World War. Yet our knowledge and understanding continues to evolve, and this engrossing account by Alexey Isaev brings together previously unpublished Russian archive material—strategic directives and orders, after-action reports, and official records of all kinds—with the vivid recollections of soldiers who were there, on the front lines, reconstructing what happened in extraordinary new detail. The evidence leads him to question common assumptions about the conduct of the battle—about the use of tanks and mechanized forces, for instance, and the combat capability and tenacity of the defeated and surrounded German Sixth Army in the last weeks before it surrendered. His gripping narrative carries the reader through the course of the entire battle from the first small-scale encounters on the approaches to Stalingrad in July 1942, through the intense continuous fighting through the city, to the encirclement, the beating back of the relieving force, and the capitulation of the Sixth Army in February 1943. Military historian Alexey Isaev’s latest book, with maps and illustrations included, is an important contribution to the literature on this decisive battle. It offers a thought-provoking revised view of events for readers already familiar with the story, and a fascinating introduction for those coming to it for the first time.
“A fresh look at what is perhaps the most famous battle of the Russo-German War from the Soviet perspective.” —The NYMAS Review Much has been written about the Battle of Stalingrad, the Soviet victory that turned the tide of the Second World War. Yet our knowledge and understanding continues to evolve, and this engrossing account by Alexey Isaev brings together previously unpublished Russian archive material—strategic directives and orders, after-action reports, and official records of all kinds—with the vivid recollections of soldiers who were there, on the front lines, reconstructing what happened in extraordinary new detail. The evidence leads him to question common assumptions about the conduct of the battle—about the use of tanks and mechanized forces, for instance, and the combat capability and tenacity of the defeated and surrounded German Sixth Army in the last weeks before it surrendered. His gripping narrative carries the reader through the course of the entire battle from the first small-scale encounters on the approaches to Stalingrad in July 1942, through the intense continuous fighting through the city, to the encirclement, the beating back of the relieving force, and the capitulation of the Sixth Army in February 1943. Military historian Alexey Isaev’s latest book, with maps and illustrations included, is an important contribution to the literature on this decisive battle. It offers a thought-provoking revised view of events for readers already familiar with the story, and a fascinating introduction for those coming to it for the first time.
‘Fortresses must carry out the same tasks as the fortresses of old....They must allow themselves to be surrounded and thus tie down as many enemy forces as possible.’ So Hitler directed in March 1944 and, in so doing, sealed the fate of Ternopol', Kovel', Poznan and Breslau, cities in the Ukraine and Poland that were in the path of the Red Army’s advance towards Nazi Germany. German forces, under orders to resist at all costs, adopted all-round defence and struggled to hold out while waiting for relief – which never came. In this gripping and original book, Alexey Isaev describes, in vivid detail, what happened next –intense and ruthless fighting, horrendous casualties among soldiers and civilians, the fabric of these historic cities torn apart. His account is based on pioneering archival research which offers us an unrivalled insight into the tactics on both sides, the experience of the close-quarter fighting in the streets and houses, and the dreadful aftermath. At the same time he shows why these cities were chosen and how the wider war passed them by as the Wehrmacht retreated and the battlefront moved westward. Each of these cities suffered a similar fate to Stalingrad but their story has never been told before in such graphic and circumstantial detail.
In June 1941 the quiet cornfields and towns of Western Ukraine were awakened by the clanking of steel and thunder of explosions; this was the greatest tank battle of the Second World War. About 3,000 tanks from the Red Army Kiev Special Military District clashed with about 800 German tanks of Heeresgruppe South. Why did the numerically superior Sov
This book is a sequel to the book by the same authors entitled Theory of Groups and Symmetries: Finite Groups, Lie Groups, and Lie Algebras.The presentation begins with the Dirac notation, which is illustrated by boson and fermion oscillator algebras and also Grassmann algebra. Then detailed account of finite-dimensional representations of groups SL(2, C) and SU(2) and their Lie algebras is presented. The general theory of finite-dimensional irreducible representations of simple Lie algebras based on the construction of highest weight representations is given. The classification of all finite-dimensional irreducible representations of the Lie algebras of the classical series sℓ(n, C), so(n, C) and sp(2r, C) is exposed.Finite-dimensional irreducible representations of linear groups SL(N, C) and their compact forms SU(N) are constructed on the basis of the Schur-Weyl duality. A special role here is played by the theory of representations of the symmetric group algebra C[Sr] (Schur-Frobenius theory, Okounkov-Vershik approach), based on combinatorics of Young diagrams and Young tableaux. Similar construction is given for pseudo-orthogonal groups O(p, q) and SO(p, q), including Lorentz groups O(1, N-1) and SO(1, N-1), and their Lie algebras, as well as symplectic groups Sp(p, q). The representation theory of Brauer algebra (centralizer algebra of SO(p, q) and Sp(p, q) groups in tensor representations) is discussed.Finally, the covering groups Spin(p, q) for pseudo-orthogonal groups SO↑(p, q) are studied. For this purpose, Clifford algebras in spaces Rp, q are introduced and representations of these algebras are discussed.
The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations. It covers the commonly encountered quantum groups (including Yangians). The second main goal of the book is to present a differential geometry of coset spaces that is actively used in investigations of models of quantum field theory, gravity and statistical physics. The third goal is to explain the main ideas about the theory of conformal symmetries, which is the basis of the AdS/CFT correspondence.The theory of groups and symmetries is an important part of theoretical physics. In elementary particle physics, cosmology and related fields, the key role is played by Lie groups and algebras corresponding to continuous symmetries. For example, relativistic physics is based on the Lorentz and Poincare groups, and the modern theory of elementary particles — the Standard Model — is based on gauge (local) symmetry with the gauge group SU(3) x SU(2) x U(1). This book presents constructions and results of a general nature, along with numerous concrete examples that have direct applications in modern theoretical and mathematical physics.
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