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Introduction to Multidimensional Integrable Equations
The soliton represents one ofthe most important ofnonlinear phenomena in modern physics. It constitutes an essentially localizedentity with a set ofremarkable properties. Solitons are found in various areas of physics from gravitation and field theory, plasma physics, and nonlinear optics to solid state physics and hydrodynamics. Nonlinear equations which describe soliton phenomena are ubiquitous. Solitons and the equations which commonly describe them are also of great mathematical interest. Thus, the dis covery in 1967and subsequent development ofthe inversescattering transform method that provides the mathematical structure underlying soliton theory constitutes one of the most important d...
The Riemann Problem, Complete Integrability and Arithmetic Applications
Seminar on the Riemann Problem, Complete Integrability and Arithmetic Applications
Integrable Systems
This volume presents the papers based upon lectures given at the 1999 Séminaire de Mathémathiques Supérieurs held in Montreal. It includes contributions from many of the most active researchers in the field. This subject has been in a remarkably active state of development throughout the past three decades, resulting in new motivation for study in r s3risingly different directions. Beyond the intrinsic interest in the study of integrable models of many-particle systems, spin chains, lattice and field theory models at both the classical and the quantum level, and completely solvable models in statistical mechanics, there have been new applications in relation to a number of other fields of...
New Trends in Quantum Integrable Systems
The present volume is the result of the international workshop on New Trends in Quantum Integrable Systems that was held in Kyoto, Japan, from 27 to 31 July 2009. As a continuation of the RIMS Research Project "Method of Algebraic Analysis in Integrable Systems" in 2004, the workshop's aim was to cover exciting new developments that have emerged during the recent years. Collected here are research articles based on the talks presented at the workshop, including the latest results obtained thereafter. The subjects discussed range across diverse areas such as correlation functions of solvable models, integrable models in quantum field theory, conformal field theory, mathematical aspects of Bethe ansatz, special functions and integrable differential/difference equations, representation theory of infinite dimensional algebras, integrable models and combinatorics. Through these topics, the reader is exposed to the most recent developments in the field of quantum integrable systems and related areas of mathematical physics.
Vertex Operators in Mathematics and Physics
James Lepowsky t The search for symmetry in nature has for a long time provided representation theory with perhaps its chief motivation. According to the standard approach of Lie theory, one looks for infinitesimal symmetry -- Lie algebras of operators or concrete realizations of abstract Lie algebras. A central theme in this volume is the construction of affine Lie algebras using formal differential operators called vertex operators, which originally appeared in the dual-string theory. Since the precise description of vertex operators, in both mathematical and physical settings, requires a fair amount of notation, we do not attempt it in this introduction. Instead we refer the reader to the...
Index Medicus
Vols. for 1963- include as pt. 2 of the Jan. issue: Medical subject headings.
Poly(ADP-Ribose) Polymerase
This detailed volume explores poly(ADP-ribose) polymerases (PARPs) in the biology of eukaryotes and their relevance to human health. Beginning with a section on the detection and quantification of poly(ADP-ribose) polymer (pADPr), the book continues by delving into the identification of protein targets, functional analysis, the poly(ADP-ribosyl)ating pathway in chromatin and genes expression, as well as the use of animal models and PARP1 inhibitor design and testing, and more. Written for the highly successful Methods in Molecular Biology series, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step and readily reproducible laboratory protocols, and tips on troubleshooting and avoiding known pitfalls. Authoritative and up-to-date, Poly(ADP-Ribose) Polymerase: Methods and Protocols, Third Edition presents essential new and classical methods for studying the pADPr-pathway.
Integrable Systems In Statistical Mechanics
This book contains lectures given at the Institute for Scientific Interchange (I.S.I., Turin) in 1983 - 1984 on the exact solution of the 8-vertex and related models and extensions of the Baxter model to 3 dimensions.
Advances in Internet, Data & Web Technologies
This book presents original contributions to the theories and practices of emerging Internet, data, and Web technologies and their applicability in businesses, engineering, and academia. Internet has become the most proliferative platform for emerging large-scale computing paradigms. Among these, data and Web technologies are two most prominent paradigms, in a variety of forms such as Data Centers, Cloud Computing, Mobile Cloud, Mobile Web Services, and so on. These technologies altogether create a digital ecosystem whose corner stone is the data cycle, from capturing to processing, analysis, and visualization. The investigation of various research and development issues in this digital ecos...
Automation and environmental control in plant tissue culture
Automation and Environmental Control in Plant Tissue Culture rigorously explores the new challenges faced by modern plant tissue culture researchers and producers worldwide: issues of cost efficiency, automation, control, and optimization of the in vitro microenvironment. This book achieves a critical balance between the economic, engineering and biological viewpoints, and presents well-balanced, unique, and clearly organized perspectives on current initiatives in the tissue culture arena. Each chapter offers guidelines leading towards an exhaustive, unprecedented level of control over in vitro growth, based on emerging technologies of robotics, machine vision, environmental sensors and regu...
