This volume consists of a collection of recent research articles dedicated to Vladimir Rittenberg on the occasion of his 60th birthday. Various aspects of solvable models in different areas of theoretical and mathematical physics are covered. Particular topics include diffusion, self-organized criticality, classical and quantum spin chains, two-dimensional lattice models, quantum algebras, and conformal field theory. The list of contributing authors contains altogether 34 names, including among others, Baxter, Cardy, Itzykson, Martin, McCoy, Nahm, Pearce and de Vega.
This volume includes twelve solicited articles which survey the current state of knowledge and some of the open questions on the mathematics of aperiodic order. A number of the articles deal with the sophisticated mathematical ideas that are being developed from physical motivations. Many prominent mathematical aspects of the subject are presented, including the geometry of aperiodic point sets and their diffractive properties, self-affine tilings, the role of $C*$-algebras in tiling theory, and the interconnections between symmetry and aperiodic point sets. Also discussed are the question of pure point diffraction of general model sets, the arithmetic of shelling icosahedral quasicrystals, and the study of self-similar measures on model sets. From the physical perspective, articles reflect approaches to the mathematics of quasicrystal growth and the Wulff shape, recent results on the spectral nature of aperiodic Schrödinger operators with implications to transport theory, the characterization of spectra through gap-labelling, and the mathematics of planar dimer models. A selective bibliography with comments is also provided to assist the reader in getting an overview of the field. The book will serve as a comprehensive guide and an inspiration to those interested in learning more about this intriguing subject.
Complexity, Multi-Disciplinarity, and Beyond addresses the issue of complexity mainly in the fields of humanities and social sciences. It is a continuation of Interdisciplinarity: Toward the Definition of a Metadiscipline? (Lang, 2001) in which the main question is related to the role of interdisciplinarity and disciplinarian thinking in confronting complexity in general. The present book focuses on complexity in the humanities but also revisits some of the ideas brought forth in Interdisciplinarity, concerning the limitations of disciplinarian thinking and interdisciplinarity in their confrontations with complexity. The development of conceptual tools, as well as theories and models for complexity outside the realm of «hard» sciences, is still in its infancy. Nevertheless, it is essential to learn to cope with complexity, and every effort in this area must be encouraged.
Provides the reader with working knowledge of Mathematica and key aspects of Mathematica's numerical capabilities needed to deal with virtually any "real life" problem Clear organization, complete topic coverage, and an accessible writing style for both novices and experts Website for book with additional materials: http://www.MathematicaGuideBooks.org Accompanying DVD containing all materials as an electronic book with complete, executable Mathematica 5.1 compatible code and programs, rendered color graphics, and animations
It is early 1945 and Nazi Germany, reeling under the relentless onslaught of the Allied armies, looks to futuristic superweapons like jet fighters, V-1 buzz bombs, and V-2 rockets for its salvation. But Peter Miller, an analyst at the headquarters of the Office of Strategic Services in Washington D.C., learns of a secret Nazi weapons project that may pose a far greater threat: the Black Gate...
This book covers civil rights and civil liberties politics in the United States from the ratification of the Bill of Rights to current-day controversies, such as the travel ban and proposals to end birthright citizenship. Civil Rights and Civil Liberties: A Reference Handbook provides a thorough overview of civil rights in U.S. history, detailing all the relevant amendments to the Constitution and reviewing key Supreme Court decisions and landmark cases on the topic. Aimed at general readers as well as high school, college, and university students, it focuses on the role of federal courts in civil rights and civil liberties politics. It also profiles the primary actors in civil rights and civil liberties, both organizations and people. The volume comprises seven chapters. Chapter 1 presents the history and background of the topic, and Chapter 2 discusses problems, controversies, and solutions. Chapter 3 consists of essays by contributors that round out the coauthors' expertise. Chapter 4 profiles important organizations and people, while Chapter 5 offers relevant data and documents. Chapter 6 is composed of an annotated list of important resources. Finally, Chapter 7 offers a useful chronology citing and describing the major events related to the topic from the nation's founding until 2019.
Social science methods such as surveys, observations and content analyses are used in market research, studies of contemporary history, urban planning and communication research. They are all the more needed by sociologists and empirically working political scientists. Whether in the context of evaluating a prevention programme or for surveying health behaviour or for a study on social mobility, the confident handling of the social science instruments is always a prerequisite for obtaining reliable results. This book provides important information for users and developers of these instruments. It deals with the theoretical foundations of the methods, the steps in the conception and implementation of a project, the many variants of data collection, the methods to be used in the selection of study units, as well as the principles to be observed in the evaluation and documentation of the findings. With the help of numerous examples, a particularly clear presentation is achieved. In the fourth, updated edition, river sampling has now been included in the selection process, digital methods are increasingly presented and, against the background of the new data protection regulation, research ethics and data protection are also updated.
This comprehensive, detailed reference provides readers with both a working knowledge of Mathematica in general and a detailed knowledge of the key aspects needed to create the fastest, shortest, and most elegant implementations possible. It gives users a deeper understanding of Mathematica by instructive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The three volumes - Programming, Graphics, and Mathematics - each with a CD, total 3,000 pages and contain more than 15,000 Mathematica inputs, over 1,500 graphics, 4,000+ references, and more than 500 exercises. This second volume covers 2 and 3D graphics, providing a detailed treatment of creating images from graphic primitives such as points, lines, and polygons. It also shows how to graphically display functions that are given either analytically or in discrete form and a number of images from the Mathamatica graphics gallery. The use of Mathematicas graphics capabilities provides a very efficient and instructive way to learn how to deal with the structures arising in solving complicated problems.
Destiny, prophecy and free will collide as the young mouse Karic prepares himself for an audacious confrontation with the fearsome Snake god of the druids, for the salvation of his family, and the fate of all mice. Yet many forces stand in his way: the tyranny of the mad King Icarus, the twisted riddles of the Bats of Meave, a Scorpion god, the ancient demonic Nathair, and certain doom at the claws of the Zombie Cat!
Illegal online file sharing costs companies tens of billions of dollars of lost revenues around the world annually and results in lost productivity, various psychological issues, and significant reduction of incentives to create and innovate. Legislative, technical, and enforcement efforts have failed. This book presents psychological theories about why people illegally share files online; analyzes and characterizes optimal sanctions for illegal online file sharing; introduces new models for pricing of network-access and digital-content to help reduce illegal online file sharing; introduces new content control and P2P systems; and explains why game theory does not work in pricing of network access.
In recent years there have been exciting developments in techniques for producing multilayered structures of different materials, often with thicknesses as small as only a few atomic layers. These artificial structures, known as superlattices, can either be grown with the layers stacked in an alternating fashion (the periodic case) or according to some other well-defined mathematical rule (the quasiperiodic case). This book describes research on the excitations (or wave-like behavior) of these materials, with emphasis on how the material properties are coupled to photons (the quanta of the light or the electromagnetic radiation) to produce "mixed waves called polaritons.·Clear and comprehensive account of polaritons in multilayered structures·Covers both periodic and quasiperiodic superlattices·Careful attention to theoretical developments and tools·Invaluable guide for researchers in this field·Shows developments from the basics to advanced topics
Acyclic models is a method heavily used to analyze and compare various homology and cohomology theories appearing in topology and algebra. This book is the first attempt to put together in a concise form this important technique and to include all the necessary background. It presents a brief introduction to category theory and homological algebra. The author then gives the background of the theory of differential modules and chain complexes over an abelian category to state the main acyclic models theorem, generalizing and systemizing the earlier material. This is then applied to various cohomology theories in algebra and topology. The volume could be used as a text for a course that combines homological algebra and algebraic topology. Required background includes a standard course in abstract algebra and some knowledge of topology. The volume contains many exercises. It is also suitable as a reference work for researchers.
Digital strings are not visible, but affect all economic segments. This book studies the phenomenon of digitalization with the instruments of economics in order to explore the interdependencies between digitalization, economic policy, and macroeconomic variables of open economies. Digitalization is separated into the three components networks, IT services, and digital goods which are then incorporated into macroeconomic models of trade theory in open economies. This approach allows to formally describe the cross-effects between digitalization and macroeconomic variables of a country. Specifically, it is used to analyze interdependencies between macroeconomic variables and networks, IT services, and digital goods, and to determine the challenges of digitalization for economic policy and regulation.
Karic might be the Chosen One...but what does such a title even mean for the young mouse who desires only to save his family from a monstrous fate. Under the training of exile Cassius, Karic learns what it truly is to be a Templar knight and warrior. While One-Arm Leito rallies his fellow prisoners, struggling to become a leader against impossible odds. Both mice find themselves on a collision course with destiny. FOREWORD BY GAIL SIMONE! Collects MICE TEMPLAR: DESTINY #1-5
In recent years statistical physics has made significant progress as a result of advances in numerical techniques. While good textbooks exist on the general aspects of statistical physics, the numerical methods and the new developments based on large-scale computing are not usually adequately presented. In this book 16 experts describe the application of methods of statistical physics to various areas in physics such as disordered materials, quasicrystals, semiconductors, and also to other areas beyond physics, such as financial markets, game theory, evolution, and traffic planning, in which statistical physics has recently become significant. In this way the universality of the underlying concepts and methods such as fractals, random matrix theory, time series, neural networks, evolutionary algorithms, becomes clear. The topics are covered by introductory, tutorial presentations.
Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level introduction to the many facets of this relatively new area of mathematics. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. In particular, the authors provide a systematic exposition of the mathematical theory of kinematic diffraction. Numerous illustrations and worked-out examples help the reader to bridge the gap between theory and application. The authors also point to more advanced topics to show how the theory interacts with other areas of pure and applied mathematics.
This volume includes twelve solicited articles which survey the current state of knowledge and some of the open questions on the mathematics of aperiodic order. A number of the articles deal with the sophisticated mathematical ideas that are being developed from physical motivations. Many prominent mathematical aspects of the subject are presented, including the geometry of aperiodic point sets and their diffractive properties, self-affine tilings, the role of $C*$-algebras in tiling theory, and the interconnections between symmetry and aperiodic point sets. Also discussed are the question of pure point diffraction of general model sets, the arithmetic of shelling icosahedral quasicrystals, and the study of self-similar measures on model sets. From the physical perspective, articles reflect approaches to the mathematics of quasicrystal growth and the Wulff shape, recent results on the spectral nature of aperiodic Schrödinger operators with implications to transport theory, the characterization of spectra through gap-labelling, and the mathematics of planar dimer models. A selective bibliography with comments is also provided to assist the reader in getting an overview of the field. The book will serve as a comprehensive guide and an inspiration to those interested in learning more about this intriguing subject.
Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The mathematics that underlies this discovery or that proceeded from it, known as the theory of Aperiodic Order, is the subject of this comprehensive multi-volume series. This second volume begins to develop the theory in more depth. A collection of leading experts, among them Robert V. Moody, cover various aspects of crystallography, generalising appropriately from the classical case to the setting of aperiodically ordered structures. A strong focus is placed upon almost periodicity, a central concept of crystallography that captures the coherent repetition of local motifs or patterns, and its close links to Fourier analysis. The book opens with a foreword by Jeffrey C. Lagarias on the wider mathematical perspective and closes with an epilogue on the emergence of quasicrystals, written by Peter Kramer, one of the founders of the field.
Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The mathematics that underlies this discovery or that proceeded from it, known as the theory of Aperiodic Order, is the subject of this comprehensive multi-volume series. This second volume begins to develop the theory in more depth. A collection of leading experts, among them Robert V. Moody, cover various aspects of crystallography, generalising appropriately from the classical case to the setting of aperiodically ordered structures. A strong focus is placed upon almost periodicity, a central concept of crystallography that captures the coherent repetition of local motifs or patterns, and its close links to Fourier analysis. The book opens with a foreword by Jeffrey C. Lagarias on the wider mathematical perspective and closes with an epilogue on the emergence of quasicrystals, written by Peter Kramer, one of the founders of the field.
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