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DIRECT MODELING FOR COMPUTATIONAL FLUID DYNAMICS

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Construction and Application of Unified Gas-Kinetic Schemes

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Computational fluid dynamics (CFD) studies the flow motion in a discretized space. Its basic scale resolved is the mesh size and time step. The CFD algorithm can be constructed through a direct modeling of flow motion in such a space. This book presents the principle of direct modeling for the CFD algorithm development, and the construction unified gas-kinetic scheme (UGKS). The UGKS accurately captures the gas evolution from rarefied to continuum flows. Numerically it provides a continuous spectrum of governing equation in the whole flow regimes.

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THIRTEENTH MARCEL GROSSMANN MEETING, THE: ON RECENT DEVELOPMENTS IN THEORETICAL AND EXPERIMENTAL GENERAL RELATIVITY, ASTROPHYSICS AND RELATIVISTIC FIELD THEORIES - PROCEEDINGS OF THE MG13 MEETING ON GENERAL RELATIVITY - PART C

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On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories(In 3 Volumes)

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The Marcel Grossmann Meetings seek to further the development of the foundations and applications of Einstein's general relativity by promoting theoretical understanding in the relevant fields of physics, mathematics, astronomy and astrophysics and to direct future technological, observational, and experimental efforts. The meetings discuss recent developments in classical and quantum aspects of gravity, and in cosmology and relativistic astrophysics, with major emphasis on mathematical foundations and physical predictions, having the main objective of gathering scientists from diverse backgrounds for deepening our understanding of spacetime structure and reviewing the current state of the art in the theory, observations and experiments pertinent to relativistic gravitation. The range of topics is broad, going from the more abstract classical theory, quantum gravity, branes and strings, to more concrete relativistic astrophysics observations and modeling.The three volumes of the proceedings of MG13 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 33 morning plenary talks during 6 days, and 75 parallel sessions over 4 afternoons. Volume A contains plenary and review talks ranging from the mathematical foundations of classical and quantum gravitational theories including recent developments in string/brane theories, to precision tests of general relativity including progress towards the detection of gravitational waves, and from supernova cosmology to relativistic astrophysics including such topics as gamma ray bursts, black hole physics both in our galaxy and in active galactic nuclei in other galaxies, and neutron star and pulsar astrophysics. Volumes B and C include parallel sessions which touch on dark matter, neutrinos, X-ray sources, astrophysical black holes, neutron stars, binary systems, radiative transfer, accretion disks, quasors, gamma ray bursts, supernovas,  alternative gravitational theories, perturbations of collapsed objects, analog models, black hole thermodynamics, numerical relativity, gravitational lensing, large scale structure, observational cosmology, early universe models and cosmic microwave background anisotropies, inhomogeneous cosmology, inflation, global structure, singularities, chaos, Einstein-Maxwell systems, wormholes, exact solutions of Einstein's equations, gravitational waves, gravitational wave detectors and data analysis, precision gravitational measurements, quantum gravity and loop quantum gravity, quantum cosmology, strings and branes, self-gravitating systems, gamma ray astronomy, and cosmic rays and the history of general relativity.

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Remo Ruffini, Kjell Rosquist, Robert T Jantzen

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PROBABILISTIC LATTICES: WITH APPLICATIONS TO PSYCHOLOGY

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There are many books on lattice theory in the field, but none interfaces with the foundations of probability. This book does. It also develops new probability theories with rigorous foundations for decision theory and applies them to specific well-known problematic examples. There is only one other book that attempts this. It uses quantum probability theory from physics. The new probability theories developed in this book are different; they are not borrowed from physics but are explicitly designed for decision theory.

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MATHEMATICAL MODELLING: FROM THEORY TO PRACTICE

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This book documents the journey undertaken by educators from the Mathematics and Mathematics Education (MME) Academic Group in the National Institute of Education (NIE) and Singapore schools during a Mathematical Modelling Outreach (MMO) event in June 2010 under the guidance of renowned experts in the field of mathematical modelling. The main goal of MMO was to reach out to Singapore primary and secondary schools and introduce the potentials of mathematical modelling as a platform for eliciting mathematical thinking, communication, and reasoning among students. This book contributes to the expanding literature on mathematical modelling by offering voices from the Singaporean context. It suggests how theoretical perspectives on mathematical modelling can be transformed into actual practice in schools, all within the existing infrastructure of the current Singapore mathematics curriculum. More importantly, the book provides documentary evidence on how plans put in place through MMO in 2010 have since been realised.The publication of this book is hence timely at this juncture. Not only does the book record how MMO was among the first pebbles launched into the pond, it also serves as a bridge over which educators can stand upon to view how the ripple effect had developed from the initial MMO pebble and the directions it may continue to extend. Perhaps in the process, other ripples in the teaching, learning, and research of mathematical modelling can be created.

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CHINA BASE: COUNTY-LEVEL ECONOMY AND SOCIETY

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This unique volume takes a very different approach to the county-level governance and the land system reform in China. Based on thorough-going interviews with  township and village cadres, the book analyzes the current major conflicts in rural areas: between urbanization and rural development, between small-scale production and big market, and between the land operation right and land ownership etc. The book also describes the turbulent phase of transition characterized by the reform of the county-level administrative system, economic system and land system; and depicts how to capture the dynamic micro functions of grassroots government as well as macro evolutions of overarching political institutions in China.The goal of this book is to explore a new approach to speed up the construction of the market and society at the base level and enhance the overall, integrated and intrinsic dynamics of the county-level economy.The down-to-earth presentation of this book engages readers to deeply feel the genuine situation and dilemmas of cadres at the rural grassroots levels in China. Its comprehensive documentation and in-depth discussion provide the best depiction of rural governance in contemporary China, and will serve as a good reference for economic source professionals, political researchers, college students and faculties.

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This book contains original research papers by leading experts in the fields of probability theory, stochastic analysis, potential theory and mathematical physics. There is also a historical account on Masatoshi Fukushima's contribution to mathematics, as well as authoritative surveys on the state of the art in the field.

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Zhen-qing Chen, Niels Jacob, Masayoshi Takeda, Toshihiro Uemura

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This volume contains an important progress on the theory of subnormal operators in the past thirty years, which was developed by the author and his collaborators. It serves as a guide and basis to students and researchers on understanding and exploring further this new direction in operator theory. The volume expounds lucidly on analytic model theory, mosaics, trace formulas of the subnormal operators, and subnormal tuples of operators on the Hilbert spaces.

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CONTRIBUTIONS TO THE THEORY OF ZETA-FUNCTIONS

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This volume provides a systematic survey of almost all the equivalent assertions to the functional equations  zeta symmetry  which zeta-functions satisfy, thus streamlining previously published results on zeta-functions. The equivalent relations are given in the form of modular relations in Fox H-function series, which at present include all that have been considered as candidates for ingredients of a series. The results are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions.This volume aims to keep a record of the 150-year-old heritage starting from Riemann on zeta-functions, which are ubiquitous in all mathematical sciences, wherever there is a notion of the norm. It provides almost all possible equivalent relations to the zeta-functions without requiring a reader's deep knowledge on their definitions. This can be an ideal reference book for those studying zeta-functions.

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The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume presents an authoritative overview of both autonomous and non-autonomous dynamical systems, including the global compact attractor. From an in-depth introduction to the different types of dissipativity and attraction, the book takes a comprehensive look at the connections between them, and critically discusses applications of general results to different classes of differential equations.The new Chapters 15-17 added to this edition include some results concerning Control Dynamical Systems  the global attractors, asymptotic stability of switched systems, absolute asymptotic stability of differential/difference equations and inclusions  published in the works of author in recent years.

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CHEMICAL THEORY BEYOND THE BORN-OPPENHEIMER PARADIGM: NONADIABATIC ELECTRONIC AND NUCLEAR DYNAMICS IN CHEMICAL REACTIONS

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Nonadiabatic Electronic and Nuclear Dynamics in Chemical Reactions

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This unique volume offers a clear perspective of the relevant methodology relating  to the chemical theory of the next generation beyond the Born-Oppenheimer paradigm. It bridges the gap between cutting-edge technology of attosecond laser science and the theory of chemical reactivity. The essence of this book lies in the method of nonadiabatic electron wavepacket dynamic, which will set a new foundation for theoretical chemistry.In light of the great progress of molecular electronic structure theory (quantum chemistry), the authors show a new direction towards nonadiabatic electron dynamics, in which quantum wavepackets have been theoretically and experimentally revealed to bifurcate into pieces due to the strong kinematic interactions between electrons and nuclei.The applications range from nonadiabatic chemical reactions in photochemical dynamics to chemistry in densely quasi-degenerated electronic states that largely fluctuate through their mutual nonadiabatic couplings. The latter is termed as chemistry without the potential energy surfaces and thereby virtually no theoretical approach has been made yet.Restarting from such a novel foundation of theoretical chemistry, the authors cast new light even on the traditional chemical notions such as the Pauling resonance theory, proton transfer, singlet biradical reactions, and so on.

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Kazuo Takatsuka, Yasuki Arasaki, Takehiro Yonehara, Kota Hanasaki

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TIME-DISCRETE METHOD OF LINES FOR OPTIONS AND BONDS, THE

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Few financial mathematical books have discussed mathematically acceptable boundary conditions for the degenerate diffusion equations in finance. In The Time-Discrete Method of Lines for Options and Bonds, Gunter H Meyer examines PDE models for financial derivatives and shows where the Fichera theory requires the pricing equation at degenerate boundary points, and what modifications of it lead to acceptable tangential boundary conditions at non-degenerate points on computational boundaries when no financial data are available.Extensive numerical simulations are carried out with the method of lines to examine the influence of the finite computational domain and of the chosen boundary conditions on option and bond prices in one and two dimensions, reflecting multiple assets, stochastic volatility, jump diffusion and uncertain parameters. Special emphasis is given to early exercise boundaries, prices and their derivatives near expiration. Detailed graphs and tables are included which may serve as benchmark data for solutions found with competing numerical methods.

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The Hyperboloidal Foliation Method introduced in this monograph is based on a (3 + 1) foliation of Minkowski spacetime by hyperboloidal hypersurfaces. This method allows the authors to establish global-in-time existence results for systems of nonlinear wave equations posed on a curved spacetime. It also allows to encompass the wave equation and the Klein-Gordon equation in a unified framework and, consequently, to establish a well-posedness theory for a broad class of systems of nonlinear wave-Klein-Gordon equations. This book requires certain natural (null) conditions on nonlinear interactions, which are much less restrictive that the ones assumed in the existing literature. This theory applies to systems arising in mathematical physics involving a massive scalar field, such as the Dirac-Klein-Gordon systems.

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The goal of Inclusive Economics is to tie together various authoritative strands of contemporary economic theory into an easily comprehensible whole that illuminates the need for a broader approach to contemporary economic policymaking undistorted by obsolete 18th century rationalist assumptions about utility, ethics, worthiness and traditional culture. This is accomplished by elaborating the rationalist competitive ideal along the optimizing lines pioneered by Paul Samuelson (neoclassical economics); plumbing modifications necessitated by Herbert Simon's realist concepts of bounded rationality and satisficing; refined further by applying a pragmatist outlook to probe the consequences of relaxing Enlightenment teleological, ethical, spiritual and cultural taboos. The exercise will explain why competitive market economies guided by rational utility-seeking invariably are less productive, efficient, just and beneficent than most theorists concede, and will illuminate the full range of interventions needed to achieve better outcomes. We call this program in its entirety Inclusive Economics, including the integration of micro and macroeconomics.

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Ralph William (Bill) Pfouts, Steven Rosefielde

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LOGIC NON-VOLATILE MEMORY: THE NVM SOLUTIONS FROM EMEMORY

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Would you like to add the capabilities of the Non-Volatile Memory (NVM) as a storage element in your silicon integrated logic circuits, and as a trimming sector in your high voltage driver and other silicon integrated analog circuits? Would you like to learn how to embed the NVM into your silicon integrated circuit products to improve their performance?This book is written to help you.It provides comprehensive instructions on fabricating the NVM using the same processes you are using to fabricate your logic integrated circuits. We at our eMemory company call this technology the embedded Logic NVM. Because embedded Logic NVM has simple fabrication processes, it has replaced the conventional NVM in many traditional and new applications, including LCD driver, LED driver, MEMS controller, touch panel controller, power management unit, ambient and motion sensor controller, micro controller unit (MCU), security ID setting tag, RFID, NFC, PC camera controller, keyboard controller, and mouse controller. The recent explosive growth of the Logic NVM indicates that it will soon dominate all NVM applications. The embedded Logic NVM was invented and has been implemented in users' applications by the 200+ employees of our eMemory company, who are also the authors and author-assistants of this book.This book covers the following Logic NVM products: One Time Programmable (OTP) memory, Multiple Times Programmable (MTP) memory, Flash memory, and Electrically Erasable Programmable Read Only Memory (EEPROM). The fundamentals of the NVM are described in this book, which include: the physics and operations of the memory transistors, the basic building block of the memory cells and the access circuits.All of these products have been used continuously by the industry worldwide. In-depth readers can attain expert proficiency in the implementation of the embedded Logic NVM technology in their products.

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Charles Ching-hsiang Hsu, Yuan-tai Lin, Ching-sung Yang

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RECENT PROGRESS IN SILICON-BASED SPINTRONIC MATERIALS

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This book covers the crucial aspects of theoretical and experimental approaches for Si-based spintronic materials. The theory parts emphasize on two first-principles methods  the GW method to improve the insulating gaps of the half metals which are a class of materials ideal for spintronic applications, and the linear response theory to calculate electric and magnetic susceptibilities. Three growth methods for doping transition metal elements in alloy and layered forms in Si will be focused on. Also three methods for characterization will be presented emphasizing on how to interpret experimental results. Finally, recent progress made in the Si-based spintronic materials will be discussed. This book is intended for researchers and graduate students who are interested in designing and growing new spintronic materials, in particular, silicon-based.

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Ching-yao Fong, Liam J Damewood, Lin H Yang

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Towards a Rigorous Behavioral Theory of Complex Dynamical Systems

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The book Complexity and Control: Towards a Rigorous Behavioral Theory of Complex Dynamical Systems is a graduate-level monographic textbook, intended to be a novel and rigorous contribution to modern Complexity Theory.This book contains 11 chapters and is designed as a one-semester course for engineers, applied and pure mathematicians, theoretical and experimental physicists, computer and economic scientists, theoretical chemists and biologists, as well as all mathematically educated scientists and students, both in industry and academia, interested in predicting and controlling complex dynamical systems of arbitrary nature.

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DIFFERENTIAL GAMES: A CONCISE INTRODUCTION

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This book uses a small volume to present the most basic results for deterministic two-person differential games. The presentation begins with optimization of a single function, followed by a basic theory for two-person games. For dynamic situations, the author first recalls control theory which is treated as single-person differential games. Then a systematic theory of two-person differential games is concisely presented, including evasion and pursuit problems, zero-sum problems and LQ differential games.The book is intended to be self-contained, assuming that the readers have basic knowledge of calculus, linear algebra, and elementary ordinary differential equations. The readership of the book could be junior/senior undergraduate and graduate students with majors related to applied mathematics, who are interested in differential games. Researchers in some other related areas, such as engineering, social science, etc. will also find the book useful.

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EXOTIC NUCLEI: IASEN-2013 - PROCEEDINGS OF THE FIRST INTERNATIONAL AFRICAN SYMPOSIUM

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IASEN-2013Proceedings of the First International African Symposium on Exotic Nuclei

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This book is a collection of talks presented at the First International African Symposium on Exotic Nuclei (IASEN-2013). The symposium was held at Cape Town, South Africa from 2 - 6 December 2013. The IASEN2013 was dedicated to the problems of producing and investigating nuclei far from the line of stability. The symposium was organized by two scientific centers: iThemba LABS, South Africa and the Joint Institute for Nuclear Research (Dubna).The main goal of the Symposium was to discuss the latest results on the production and study of the properties of the lightest to heaviest nuclei, as well as the plans for future joint investigations in the field of exotic nuclei. The talks were presented by the leading scientists in the field. Among the topics of the symposium were the following: production and study of properties of nuclei in extreme states, strongly deformed nuclei, highly excited and nuclei far from the line of stability as well as nuclei having large angular momenta. New results of the investigations are presented in this book. In particular, the latest results on the synthesis of new superheavy elements are also presented. At the Symposium were talks devoted to existing detecting devices and accelerators of exotic nuclei as well as to the future projects for the creation of similar set-ups.

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Yuri Erastovich Penionzhkevich, Evgeni A Cherepanov, Dmitri Kamanin, Robert Bark, John Christopher Cornell

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MATHEMATICAL RESULTS IN QUANTUM MECHANICS - PROCEEDINGS OF THE QMATH12 CONFERENCE (WITH DVD-ROM)

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The book provides a comprehensive overview on the state of the art of the quantum part of mathematical physics. In particular, it contains contributions to the spectral theory of Schrodinger and random operators, quantum field theory, relativistic quantum mechanics and interacting many-body systems.It also presents an overview on the achievements in mathematical physics since the last conference QMath11 held at Hradec Kralove, Czechia in 2010.

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Pavel Exner, Wolfgang Koenig, Hagen Neidhardt

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AFFINITY AND EFFICACY: THE COMPONENTS OF DRUG-RECEPTOR INTERACTIONS

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The Components of Drug-Receptor Interactions

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The interaction of a drug with a receptor generates a code of information having components of affinity and efficacy. How this information is translated into a response depends on the unique cells, tissue, organ or system in which the receptor resides. This book describes how to analyze various responses to estimate the affinity and efficacy components of the initial drug-receptor interaction. More specifically, it describes how to measure the affinity and efficacy of drugs through the analysis of single receptor activity, the activation state of a population of receptors, and responses downstream from receptor activation. More light is thrown on ligand-gated ion channels and G protein-coupled receptors in this book.The topics discussed include radioligand binding, estimation of agonist affinity and efficacy, competitive antagonism, inverse agonism, allosteric agonists and modulators, agonist bias, modulation of pathway selectivity, and the estimation of ligand affinity for active and inactive receptor states. The natural history and structure of ligand-gated ion channels, G proteins, and G protein-coupled receptors are also discussed.