This book contains an in-depth overview of the current state of the recently emerged and rapidly growing theory of Gnk groups, picture-valued invariants, and braids for arbitrary manifolds. Equivalence relations arising in low-dimensional topology and combinatorial group theory inevitably lead to the study of invariants, and good invariants should be strong and apparent. An interesting case of such invariants is picture-valued invariants, whose values are not algebraic objects, but geometrical constructions, like graphs or polyhedra.In 2015, V O Manturov defined a two-parametric family of groups Gnk and formulated the following principle: if dynamical systems describing a motion of n particles possess a nice codimension 1 property governed by exactly k particles then these dynamical systems possess topological invariants valued in Gnk.The book is devoted to various realisations and generalisations of this principle in the broad sense. The groups Gnk have many epimorphisms onto free products of cyclic groups; hence, invariants constructed from them are powerful enough and easy to compare. However, this construction does not work when we try to deal with points on a 2-surface, since there may be infinitely many geodesics passing through two points. That leads to the notion of another family of groups — Γnk, which give rise to braids on arbitrary manifolds yielding invariants of arbitrary manifolds.
A top Russian interpreter, who spent 30 years on the front lines of diplomacy, offers excerpts from his journals--the result of his four years spent in the service of Mikhail Gorbachev--covering the pivotal period between 1987 and 1990, and including parts of Gorbachev's conversations with Reagan, Thatcher, and Bush, among others.
In 1939, a ten-year-old Igor Golomstock accompanied his mother, a medical doctor, to the vast network of labour camps in the Russian Far East. While she tended patients, he was minded by assorted 'trusty' prisoners – hardened criminals – and returned to Moscow an almost feral adolescent, fluent in obscene prison jargon but intellectually ignorant. Despite this dubious start he became a leading art historian and co-author (with his close friend Andrey Sinyavsky) of the first, deeply controversial, monograph on Picasso published in the Soviet Union. His writings on his 43 years in the Soviet Union offer a rare insight into life as a quietly subversive art historian and the post-Stalin dissident community. In vivid prose Golomstock shows the difficulties of publishing, curating and talking about Western art in Soviet Russia and, with self-deprecating humour, the absurd tragicomedy of life for the Moscow intelligentsia during Khruschev's thaw and Brezhnev's stagnation. He also offers a unique personal perspective on the 1966 trial of Sinyavsky and Yuri Daniel, widely considered the end of Khruschev's liberalism and the spark that ignited the Soviet dissident movement. In 1972 he was given 'permission' to leave the Soviet Union, but only after paying a 'ransom' of more than 25 years' salary, nominally intended to reimburse the state for his education. A remarkable collection of artists, scholars and intellectuals in Russia and the West, including Roland Penrose, came together to help him pay this astronomical sum. His memoirs of life once in the UK offer an insider's view of the BBC Russian Service and a penetrating analysis of the notorious feud between Sinyavsky and Aleksandr Solzhenitsyn. Nominated for the Russian Booker Prize on its publication in Russian in 2014, The Ransomed Dissident opens a window onto the life of a remarkable man: a dissident of uncompromising moral integrity and with an outstanding gift for friendship.
A diplomatic history of events leading up to the Munich crisis in 1938 in which Great Britain and France decided to appease Hitler's demands to annex the Sudentenland. The book aims to integrate a full understanding of the Czech role with wider events.
Written by pioneers in the field, Highlights in Helioclimatology examines the scientific evidence related to the influence of solar activity on climate and the resulting atmospheric process that creates hurricanes. In addition to providing the science behind the phenomenon, this book also provides tools for aiding in hurricane prediction, specifically spectral analysis and signal theory. In addition to aiding readers in understanding tropical storm and hurricane genesis, intensification, and prediction, Highlights in Helioclimatology also provides an excellent introduction to spectral analysis – an essential tool for anyone who is actively performing research in hurricanes and climatology. - Tools that aid in hurricane prediction, specifically spectra analysis and signal theory - Various perspectives in hurricane research including matricial theory and principal component analysis - Application of cross-wavelet analysis to terrestrial and cosmophysical phenomena to determine their main common resonant frequencies from ultra-short to long-term periodicities
Digital Terrain Analysis in Soil Science and Geology, Second Edition, synthesizes the knowledge on methods and applications of digital terrain analysis and geomorphometry in the context of multi-scale problems in soil science and geology. Divided into three parts, the book first examines main concepts, principles, and methods of digital terrain modeling. It then looks at methods for analysis, modeling, and mapping of spatial distribution of soil properties using digital terrain analysis, before finally considering techniques for recognition, analysis, and interpretation of topographically manifested geological features. Digital Terrain Analysis in Soil Science and Geology, Second Edition, is an updated and revised edition, providing both a theoretical and methodological basis for understanding and applying geographical modeling techniques. - Presents an integrated and unified view of digital terrain analysis in both soil science and geology - Features research on new advances in the field, including DEM analytical approximation, analytical calculation of local morphometric variables, morphometric globes, and two-dimensional generalized spectral analytical methods - Includes a rigorous description of the mathematical principles of digital terrain analysis - Provides both a theoretical and methodological basis for understanding and applying geographical modeling
This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1967. This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived
This textbook introduces and explains the basic concepts on which statics is based utilizing real engineering examples. The authors emphasize the learning process by showing a real problem, analyzing it, simplifying it, and developing a way to solve it. This feature teaches students intuitive thinking in solving real engineering problems using the fundamentals of Newton’s laws. This book also: · Stresses representation of physical reality in ways that allow students to solve problems and obtain meaningful results · Emphasizes identification of important features of the structure that should be included in a model and which features may be omitted · Facilitates students' understanding and mastery of the "flow of thinking" practiced by professional engineers
This book contains an in-depth overview of the current state of the recently emerged and rapidly growing theory of Gnk groups, picture-valued invariants, and braids for arbitrary manifolds. Equivalence relations arising in low-dimensional topology and combinatorial group theory inevitably lead to the study of invariants, and good invariants should be strong and apparent. An interesting case of such invariants is picture-valued invariants, whose values are not algebraic objects, but geometrical constructions, like graphs or polyhedra.In 2015, V O Manturov defined a two-parametric family of groups Gnk and formulated the following principle: if dynamical systems describing a motion of n particles possess a nice codimension 1 property governed by exactly k particles then these dynamical systems possess topological invariants valued in Gnk.The book is devoted to various realisations and generalisations of this principle in the broad sense. The groups Gnk have many epimorphisms onto free products of cyclic groups; hence, invariants constructed from them are powerful enough and easy to compare. However, this construction does not work when we try to deal with points on a 2-surface, since there may be infinitely many geodesics passing through two points. That leads to the notion of another family of groups — Γnk, which give rise to braids on arbitrary manifolds yielding invariants of arbitrary manifolds.
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