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Differential Equations with Impulse Effects
Significant interest in the investigation of systems with discontinuous trajectories is explained by the development of equipment in which significant role is played by impulsive control systems and impulsive computing systems. Impulsive systems are also encountered in numerous problems of natural sciences described by mathematical models with conditions reflecting the impulsive action of external forces with pulses whose duration can be neglected. Differential equations with set-valued right-hand side arise in the investigation of evolution processes in the case of measurement errors, inaccuracy or incompleteness of information, action of bounded perturbations, violation of unique solvabili...
Quantum Invariants of Knots and 3-Manifolds
Due to the strong appeal and wide use of this monograph, it is now available in its third revised edition. The monograph gives a systematic treatment of 3-dimensional topological quantum field theories (TQFTs) based on the work of the author with N. Reshetikhin and O. Viro. This subject was inspired by the discovery of the Jones polynomial of knots and the Witten-Chern-Simons field theory. On the algebraic side, the study of 3-dimensional TQFTs has been influenced by the theory of braided categories and the theory of quantum groups. The book is divided into three parts. Part I presents a construction of 3-dimensional TQFTs and 2-dimensional modular functors from so-called modular categories....
Perspectives on the Use of New Information and Communication Technology (ICT) in the Modern Economy
This book includes the best works presented at the scientific and practical conference that took place on February 1, 2018 in Pyatigorsk, Russia on the topic “Perspectives on the use of New Information and Communication Technology (ICT) in the Modern Economy”. The conference was organized by the Institute of Scientific Communications (Volgograd, Russia), the Center for Marketing Initiatives (Stavropol, Russia), and Pyatigorsk State University (Pyatigorsk, Russia). The book present the results of research on the complex new information and communication technologies in the modern economy and law as well as research that explore limits of and opportunities for their usage. The target audie...
Meta-Scientific Study of Artificial Intelligence
The book studies artificial intelligence as a new reality and a perspective direction for the modern economy’s development, as well as its future technological basis. The book forms a meta-scientific approach to studying AI, which allows uniting the efforts of scholars from different spheres of science for formation of a comprehensive idea of AI. The book reflects the meta-scientific approach to the balanced use of human and artificial intelligence and the features of successful development of the information economy under the conditions of technological progress based on artificial intelligence. It describes the implementation of the subject approach in psychology and pedagogy based on ar...
Modern Global Economic System: Evolutional Development vs. Revolutionary Leap
This proceedings book reflects the alternative way of development of the modern global economic system. It sets evolutionary development in opposition to revolutionary leap. The search for the best way to develop the world economy in the present and future is carried out. The social environment and the human-centered development of the modern global economic system have been explored. The features of training of personnel for the modern global economic system through the development of vocational education and training have been studied. Sustainable development, energy and food security have been identified as significant milestones of the progress of the modern global economic system. Innov...
Impulsive Differential Equations
Contents:General Description of Impulsive Differential SystemsLinear SystemsStability of SolutionsPeriodic and Almost Periodic Impulsive SystemsIntegral Sets of Impulsive SystemsOptimum Control in Impulsive SystemsAsymptotic Study of Oscillations in Impulsive SystemsA Periodic and Almost Periodic Impulsive SystemsBibliographySubject Index Readership: Researchers in nonlinear science. keywords:Differential Equations with Impulses;Linear Systems;Stability;Periodic and Quasi-Periodic Solutions;Integral Sets;Optimal Control “… lucid … the book … will benefit all who are interested in IDE…” Mathematics Abstracts
The Fear Peninsula
This publication presents the results of the work on collecting the facts of international law violations related to the occupation of the territories of the Autonomous Republic of Crimea and the city of Sevastopol (Ukraine) by the Russian Federation military forces, as well as of the human rights violations on the temporarily occupied territory of Crimea in February 2014 – March 2015. The publication is intended for the representatives of human rights organizations, diplomatic missions, and state authorities.
I Chose Freedom - The Personal and Political Life of a Soviet Official
I CHOSE FREEDOM The Personal and Political Life of a Soviet Official by VICTOR KRAVCHENKO Jfevr Yorfc CHARLES SCRIBNERS SONS 1048, 1946, mr VICTOR jPrfaxted IA tfe United States of tJkr fMi jinPn CJUrlc CONTENTS PACK I. Flight in the Night I II. A Russian Childhood 6 III. Glory and Hunger 19 IV. Youth in the Red 34 V. Break with the Past 50 VI. A Student in Kharkov 59 VII. Triumph of the Machine 74 VIII. Horror in the Village 91 IX. Harvest in Hell IIO X. My First Purge 132 XI. Elienas Secret 148 XII. Engineer at Nikopol 167 XIII. Faster, Faster 187 XIV. Super-Purge 206 XV. My Ordeal Begins 221 xvi. AScan f OT jftllPER YJUN 1949 33 8 XVII. Torture After Midnight 256 XVIII. Labor Free and Sla...
Fuzzy Differential Equations in Various Approaches
This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems. Beginning with a historical overview and introduction to fundamental notions of fuzzy sets, including different possibilities of fuzzy differentiation and metric spaces, this book moves on to an overview of fuzzy calculus thorough exposition and comparison of different approaches. Innovative theories of fuzzy calculus and fuzzy differential equations using fuzzy bunches of functions are introduced and explored. Launching with a brief review of essential theories, this book investigates both well-known and novel approaches in this field; such as the Hukuhara differentiability and its generalizations as well as differential inclusions and Zadeh’s extension. Through a unique analysis, results of all these theories are examined and compared.
