If there would be no God ~ then what a staff-captain am I?" ~ said one of the characters in a novel by Dostoevskii. In a similar way we can exclaim: "If there would be no nonlinearity ~ than what physics would that be'?". Really, the most interesting and exciting effects are described by non linear equations, and vanish in the linear approximation. For example, the general theory of relativity by A.Einstein comes to mind first - one of the most beautiful physical theories, which is in fact essentially nonlinear. Next, the phase transitions crystal ~ liquid and liquid ~ gas are due to the anhar monicity of inter-particle interactions, to dissociation and infinite motion. Similarly, transitions into the superconducting state or the superftuid would be impossible with purely harmonic interaction potentials. Another bril liant achievement in nonlinear physics was the construction of a laser and the subsequent development of nonlinear optics. The latter describes the in teraction of the matter with light of super-high intensity, when multi-quanta intra-molecular transitions become essential. Last, we should note here the very beautiful mathematical theory ~ the theory of catastrophes. Its subject is the study of invariant general properties of multi-dimensional surfaces in the vicinity of bifurcation points with respect to continuous transformations.
By bringing together various ideas and methods for extracting the slow manifolds, the authors show that it is possible to establish a more macroscopic description in nonequilibrium systems. The book treats slowness as stability. A unifying geometrical viewpoint of the thermodynamics of slow and fast motion enables the development of reduction techniques, both analytical and numerical. Examples considered in the book range from the Boltzmann kinetic equation and hydrodynamics to the Fokker-Planck equations of polymer dynamics and models of chemical kinetics describing oxidation reactions. Special chapters are devoted to model reduction in classical statistical dynamics, natural selection, and exact solutions for slow hydrodynamic manifolds. The book will be a major reference source for both theoretical and applied model reduction. Intended primarily as a postgraduate-level text in nonequilibrium kinetics and model reduction, it will also be valuable to PhD students and researchers in applied mathematics, physics and various fields of engineering.
Mainstream economists and Silicon Valley entrepreneurs claim that unfettered capitalism and digital technology can unlock a future of unbounded prosperity, create endless high paying jobs, and solve the world’s vast social and ecological problems. Realizing this future of abundance purportedly rests in the transformation of human potential into innovative human capital through new 21st century forms of education. In this new book Alex Means challenges this view. Stagnating economic growth and runaway inequality have emerged as the ‘normal’ condition of advanced capitalism. Simultaneously, there has been a worldwide educational expansion and a growing surplus of college-educated workers relative to their demand in the world economy. This surplus is complicated by an emerging digital revolution driven by artificial intelligence and machine learning that generates worker displacing innovations and immaterial forms of labor and valorization. Learning to Save the Future argues that rather than fostering mass intellectuality, educational development is being constrained by a value structure subordinated to 21st century capitalism and technology. Human capabilities from creativity, design, engineering, to communication are conceived narrowly as human capital, valued in terms of economic productivity and growth. Similarly, global problems such as the erosion of employment and climate change are conceived as educational problems to be addressed through business solutions and the digitalization of education. This thought-provoking account provides a cognitive map of this condition, offering alternatives through critical analyses of education and political economy, technology and labor, creativity and value, power and ecology.
Toward a New Common School Movement is a bold and urgent call to action.The authors argue that corporate school reform in the United States represents a failed project subverted by profiteering, corruption, and educational inequalities.Toward a New Common School Movement suggests that educational privatization and austerity are not simply bad policies but represent a broader redistribution of control over social life-that is, the enclosure of the global commons. This condition requires far more than a liberal defense of public schooling. It requires recovering elements of the radical progressive educational tradition while generating a new language of the common suitable to the unique challenges of the global era. Toward a New Common School Movement traces the history of struggles over public schooling in the United States and provides a set of ethical principles for enacting the commons in educational policy, finance, labor, curriculum, and pedagogy. Ultimately, it argues for global educational struggles in common for a just and sustainable future beyond the crises of neoliberalism and predatory capitalism.
This book is an exposition of a curriculum innovation within the complex yet fertile ground of school-based education in Singapore. Beyond straightforward descriptions and protocols, this book purposefully connects classroom practices with theories in a clear, uncomplicated way. The result provides a series of rationales for action, reflection and understanding that other publications in digital storytelling sometimes fail to cover or explain in sufficient detail. Broadly, these include digital multimodal authorship; teachers’ and students’ storytelling task design and assessment; the use of digital storytelling as a reflective and reflexive expression of teachers’ professionalism; and dialogism in classroom practice.
Three official languages have emerged in the Balkan region that was formerly Yugoslavia: Croatian in Croatia, Serbian in Serbia, and both of these languages plus Bosnian in Bosnia-Herzegovina. Bosnian, Croatian, Serbian, a Textbook introduces the student to all three. Dialogues and exercises are presented in each language, shown side by side for easy comparison; in addition, Serbian is rendered in both its Latin and its Cyrillic spellings. Teachers may choose a single language to use in the classroom, or they may familiarize students with all three. This popular textbook is now revised and updated with current maps, discussion of a Montenegrin language, advice for self-study learners, an expanded glossary, and an appendix of verb types. It also features: • All dialogues, exercises, and homework assignments available in Bosnian, Croatian, and Serbian • Classroom exercises designed for both small-group and full-class work, allowing for maximum oral participation • Reading selections written by Bosnian, Croatian, and Serbian authors especially for this book • Vocabulary lists for each individual section and full glossaries at the end of the book • A short animated film, on an accompanying DVD, for use with chapter 15 • Brief grammar explanations after each dialogue, with a cross-reference to more detailed grammar chapters in the companion book, Bosnian, Croatian, Serbian, a Grammar.
Bosnian, Croatian, Serbian, a Grammar analyzes and clarifies the complex, dynamic language situation in the former Yugoslavia. Addressing squarely the issues connected with the splintering of Serbo-Croatian into component languages, this volume provides teachers and learners with practical solutions and highlights the differences among the languages as well as the communicative core that they all share. The first book to cover all three components of the post-Yugoslav linguistic environment, this reference manual features: · Thorough presentation of the grammar common to Bosnian, Croatian, and Serbian, with explication of all the major differences · Examples from a broad range of spoken language and literature · New approaches to accent and clitic ordering, two of the most difficult points in BCS grammar · Order of grammar presentation in chapters 1–16 keyed to corresponding lessons in Bosnian, Croatian, Serbian, a Textbook · "Sociolinguistic commentary" explicating the cultural and political context within which Bosnian, Croatian, and Serbian function and have been defined · Separate indexes of the grammar and sociolinguistic commentary, and of all words discussed in both
Containing Full Definitions of the Principal Terms of the Common and Civil Law : Together with Translations and Explanations of the Various Technical Phrases in Different Languages, Occurring in the Ancient and Modern Reports, and Standard Treatises, Embracing Also All the Principal Common and Civil Law Maxims : Compiled on the Basis of Spelman's Glossary, and Adapted to the Jurisprudence of the United States : with Copious Illustrations, Critical and Historical
Containing Full Definitions of the Principal Terms of the Common and Civil Law : Together with Translations and Explanations of the Various Technical Phrases in Different Languages, Occurring in the Ancient and Modern Reports, and Standard Treatises, Embracing Also All the Principal Common and Civil Law Maxims : Compiled on the Basis of Spelman's Glossary, and Adapted to the Jurisprudence of the United States : with Copious Illustrations, Critical and Historical
Burrill, Alexander M. A New Law Dictionary and Glossary: Containing Full Definitions of the Principal Terms of the Common and Civil Law, Together with Translations and Explanations of the Various Technical Phrases in Different Languages, Occurring in the Ancient and Modern Reports, and Standard Treatises; Embracing Also All the Principal Common and Civil Law Maxims. Compiled on the Basis of Spelman's Glossary, and Adapted to the Jurisprudence of the United States; with Copious Illustrations, Critical and Historical. New York: John S. Voorhies, 1850-1851. Two volumes. xviii, 1099 pp. Reprinted 1998 by The Lawbook Exchange, Ltd. LCCN 97-38481. ISBN 1-886363-32-3. Cloth. $195. * Reprint of the first edition. A scarce, important original American dictionary by a student of James Kent. Burrill [1807-1869] was admitted to the New York Bar in 1828. Burrill was highly regarded for his legal scholarship. Dictionary of American Biography describes this as "a work of very high standard, which at once took its place as perhaps the best book of its kind so far produced...All his books were distinguished for their graceful style and a scholarly precision and finish which earned the unstinted commendation of the judiciary. In addition their accuracy of statement and definition was fully recognized at the time by the profession at large" (II:326).
The book focuses on the next fields of computer science: combinatorial optimization, scheduling theory, decision theory, and computer-aided production management systems. It also offers a quick introduction into the theory of PSC-algorithms, which are a new class of efficient methods for intractable problems of combinatorial optimization. A PSC-algorithm is an algorithm which includes: sufficient conditions of a feasible solution optimality for which their checking can be implemented only at the stage of a feasible solution construction, and this construction is carried out by a polynomial algorithm (the first polynomial component of the PSC-algorithm); an approximation algorithm with polynomial complexity (the second polynomial component of the PSC-algorithm); also, for NP-hard combinatorial optimization problems, an exact subalgorithm if sufficient conditions were found, fulfilment of which during the algorithm execution turns it into a polynomial complexity algorithm. Practitioners and software developers will find the book useful for implementing advanced methods of production organization in the fields of planning (including operative planning) and decision making. Scientists, graduate and master students, or system engineers who are interested in problems of combinatorial optimization, decision making with poorly formalized overall goals, or a multiple regression construction will benefit from this book.
This book is dedicated to modern approaches to mathematical modeling of reflexive processes in control. The authors consider reflexive games that describe the gametheoretical interaction of agents making decisions based on a hierarchy of beliefs regarding (1) essential parameters (informational reflexion), (2) decision principles used by opponents
Statistical Factor Analysis and Related Methods Theory andApplications In bridging the gap between the mathematical andstatistical theory of factor analysis, this new work represents thefirst unified treatment of the theory and practice of factoranalysis and latent variable models. It focuses on such areasas: * The classical principal components model and sample-populationinference * Several extensions and modifications of principal components,including Q and three-mode analysis and principal components in thecomplex domain * Maximum likelihood and weighted factor models, factoridentification, factor rotation, and the estimation of factorscores * The use of factor models in conjunction with various types ofdata including time series, spatial data, rank orders, and nominalvariable * Applications of factor models to the estimation of functionalforms and to least squares of regression estimators
This book deals with diffraction radiation, which implies the boundary problems of electromagnetic radiation theory. Diffraction radiation is generated when a charged particle moves near a target edge at a distance ( – Lorentz factor, – wave length). Diffraction radiation of non-relativistic particles is widely used to design intense emitters in the cm wavelength range. Diffraction radiation from relativistic charged particles is important for noninvasive beam diagnostics and design of free electron lasers based on Smith-Purcell radiation which is diffraction radiation from periodic structures. Different analytical models of diffraction radiation and results of recent experimental studies are presented in this book. The book may also serve as guide to classical electrodynamics applications in beam physics and electrodynamics. It can be of great use for young researchers to develop skills and for experienced scientists to obtain new results.
It is by no means clear what comprises the "heart" or "core" of algebra, the part of algebra which every algebraist should know. Hence we feel that a book on "our heart" might be useful. We have tried to catch this heart in a collection of about 150 short sections, written by leading algebraists in these areas. These sections are organized in 9 chapters A, B, . . . , I. Of course, the selection is partly based on personal preferences, and we ask you for your understanding if some selections do not meet your taste (for unknown reasons, we only had problems in the chapter "Groups" to get enough articles in time). We hope that this book sets up a standard of what all algebraists are supposed to know in "their" chapters; interested people from other areas should be able to get a quick idea about the area. So the target group consists of anyone interested in algebra, from graduate students to established researchers, including those who want to obtain a quick overview or a better understanding of our selected topics. The prerequisites are something like the contents of standard textbooks on higher algebra. This book should also enable the reader to read the "big" Handbook (Hazewinkel 1999-) and other handbooks. In case of multiple authors, the authors are listed alphabetically; so their order has nothing to do with the amounts of their contributions.
A concise, comprehensive introduction to the topic of statistical physics of combinatorial optimization, bringing together theoretical concepts and algorithms from computer science with analytical methods from physics. The result bridges the gap between statistical physics and combinatorial optimization, investigating problems taken from theoretical computing, such as the vertex-cover problem, with the concepts and methods of theoretical physics. The authors cover rapid developments and analytical methods that are both extremely complex and spread by word-of-mouth, providing all the necessary basics in required detail. Throughout, the algorithms are shown with examples and calculations, while the proofs are given in a way suitable for graduate students, post-docs, and researchers. Ideal for newcomers to this young, multidisciplinary field.
Written by one of the founding fathers of Quantum Information, this book gives an accessible (albeit mathematically rigorous), self-contained introduction to quantum information theory. The central role is played by the concept of quantum channel and its entropic and information characteristics. In this revised edition, the main results have been updated to reflect the most recent developments in this very active field of research.
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