الصفحة 32
الصفحة 32
Integral Methods in Science and Engineering : Theoretical and Practical Aspects
The quantitative and qualitative study of the physical world makes use of many mathematical models governed by a great diversity of ordinary, partial differential, integral, and integro-differential equations. An essential step in such investigations is the solution of these types of equations, which sometimes can be performed analytically, while at other times only numerically. This edited, self-contained volume presents a series of state-of-the-art analytic and numerical methods of solution constructed for important problems arising in science and engineering, all based on the powerful operation of (exact or approximate) integration.It covers a wide variety of topics, from the theoretical development of boundary integral methods to the application of integration-based analytic and numerical techniques that include integral equations, finite and boundary elements, conservation laws, hybrid approaches, and other procedures.
Integral Methods in Science and Engineering : Techniques and Applications
The physical world is studied by means of mathematical models, which consist of differential, integral, and integro-differential equations accompanied by a large assortment of initial and boundary conditions. In certain circumstances, such models yield exact analytic solutions. When they do not, they are solved numerically by means of various approximation schemes. Whether analytic or numerical, these solutions share a common feature: they are constructed by means of the powerful tool of integration—the focus of this self-contained book. This work illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering. The thirty two chapters of the book, written by scientists with established credentials in their fields, contain state-of-the-art information on current research in a variety of important practical disciplines.
Integral closure : Rees algebras, multiplicities, algorithms
Integral Closure gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. These are shared concerns in commutative algebra, algebraic geometry, number theory and the computational aspects of these fields. The overall goal is to determine and analyze the equations of the assemblages of the set of solutions that arise under various processes and algorithms. It gives a comprehensive treatment of Rees algebras and multiplicity theory - while pointing to applications in many other problem areas. Its main goal is to provide complexity estimates by tracking numerically invariants of the structures that may occur.
Integrable Systems in Celestial Mechanics
This work presents a unified treatment of three important integrable problems relevant to both Celestial and Quantum Mechanics. Under discussion are the Kepler (two-body) problem and the Euler (two-fixed center) problem, the latter being the more complex and more instructive, as it exhibits a richer and more varied solution structure. Further, because of the interesting investigations by the 20th century mathematical physicist J.P. Vinti, the Euler problem is now recognized as being intimately linked to the Vinti (Earth-satellite) problem. Here the analysis of these problems is shown to follow a definite shared pattern yielding exact forms for the solutions. A central feature is the detailed treatment of the planar Euler problem where the solutions are expressed in terms of Jacobian elliptic functions, yielding analytic representations for the orbits over the entire parameter range.
Integer Programming and Combinatorial Optimization ; 11th International IPCO Conference, Berlin, Germany, June 8-10, 2005, Proceedings
Since its start in 1990, the IPCO conference series (held under the auspices of theMathematicalProgrammingSociety)hasbecomeanimportantforumforthe presentation of recent results in Integer Programming and Combinatorial Op- mization. This volume compiles the papers presented at IPCO XI, the eleventh conference in this series, held June 8–10, 2005, at the Technische Universit¨ at Berlin. The high interest in this conference series is evident in the large number of submissions. For IPCO XI, 119 extended abstracts of up to 10 pages were submitted. During its meeting on January 29–30, 2005, the Program Committee carefully selected 34 contributions for presentation in non-parallel sessions at the conference. The ?nal choices were not easy at all, since, due to the limited number of time slots, many very good papers could not be accepted. During the selection process the contributions were refereed according to the standards of refereed conferences. As a result of this procedure, you have in your hands a volume that contains papers describing high-quality research e?orts. The page limit for contributions to this proceedings volume was set to 15. You may ?nd full versions of the papers in scienti?c journals in the near future. We thank all the authors who submitted papers. Furthermore, the Program Committee is indebted to the many reviewers who, with their speci?c expertise, helped a lot in making the decisions.
Insulin Resistance and Polycystic Ovarian Syndrome : Pathogenesis, Evaluation, and Treatment
This book highlights the recent transition of PCOS from an infertility disorder with a diagnosis based on ovarian tissue histology to a more complex clinical entity, a metabolic disorder in which insulin resistance plays a central role. With an expert panel of authors, each chapter provides an up-to-date and balanced overview of PCOS, paying special attention to the central role of insulin resistance in the syndrome’s pathogenesis and in the management of its reproductive and metabolic abnormalities.
Institution-independent Model Theory
A model theory that is independent of any concrete logical system allows a general handling of a large variety of logics. This generality can be achieved by applying the theory of institutions that provides a precise mathematical formulation for the intuitive concept of a logical system. Especially in computer science, where the development of a huge number of specification logics is observable, institution-independent model theory simplifies and sometimes even enables a concise model-theoretic analysis of the system. Besides incorporating important methods and concepts from conventional model theory, the proposed top-down methodology allows for a structurally clean understanding of model-theoretic phenomena. As a consequence, results from conventional concrete model theory can be understood more easily, and sometimes even new results are obtained.
Instability in Models Connected with Fluid Flows II
Instability in Models Connected with Fluid Flows II presents chapters from world renowned specialists. The stability of mathematical models simulating physical processes is discussed in topics on control theory, first order linear and nonlinear equations, water waves, free boundary problems, large time asymptotics of solutions, stochastic equations, Euler equations, Navier-Stokes equations, and other PDEs of fluid mechanics. Fields covered include: the free surface Euler (or water-wave) equations, the Cauchy problem for transport equations, irreducible Chapman--Enskog projections and Navier-Stokes approximations, randomly forced PDEs, stability of equilibrium figures of uniformly rotating viscous incompressible liquid, Navier-Stokes equations in cylindrical domains, Navier-Stokes-Poisson flows in a vacuum.
Instability in Models Connected with Fluid Flows I
Instability in Models Connected with Fluid Flows I presents chapters from world renowned specialists. The stability of mathematical models simulating physical processes is discussed in topics on control theory, first order linear and nonlinear equations, water waves, free boundary problems, large time asymptotics of solutions, stochastic equations, Euler equations, Navier-Stokes equations, and other PDEs of fluid mechanics. Fields covered include: controllability and accessibility properties of the Navier- Stokes and Euler systems, nonlinear dynamics of particle-like wavepackets, attractors of nonautonomous Navier-Stokes systems, large amplitude monophase nonlinear geometric optics, existence results for 3D Navier-Stokes equations and smoothness results for 2D Boussinesq equations, instability of incompressible Euler equations, increased stability in the Cauchy problem for elliptic equations.
Insider attack and cyber security : Beyond the hacker
This book sets an agenda for an ongoing research initiative to solve one of the most vexing problems encountered in computer security, and includes the following topics: critical IT infrastructure protection, insider threats, awareness and dealing with nefarious human activities in a manner that respects individual liberties and privacy policies of organizations while providing the best protection of critical resources and services. In some sense, the insider problem is the ultimate security problem. This volume concludes with technical and legal challenges facing researchers who study and propose solutions to mitigate insider attacks.
Inorganic Scintillators for Detector Systems : Physical Principles and Crystal Engineering
The development of new scintillators as components of modern detector systems is increasingly defined by the end user's needs. This book provides an introduction to this emerging topic at the interface of physics and materials sciences, with emphasis on bulk inorganic scintillators. After surveying the end user's needs in a vast range of applications, ranging from astrophysics to industrial R & D, the authors move on to review scintillating mechanisms and the properties of the most important materials used. A chapter on crystal engineering and examples of recent developments in the field of high-energy physics and medical imaging introduce the reader to the practical aspects. This book will benefit researchers and scientists working in academic and industrial R & D related to the development of scintillators.
Inorganic Polymeric Nanocomposites and Membranes
This series presents critical reviews of the present and future trends in polymer and biopolymer science including chemistry, physical chemistry, physics and materials science. It is addressed to all scientists at universities and in industry who wish to keep abreast of advances in the topics covered.This Book reviews different methods of synthesis of polysilalkylene or silarylene siloxanes that are sometimes called "hybrid" silicones. This special type of silicone has been developed to avoid the drawback of the depolymerization of classical polysiloxanes in certain conditions and to obtain elastomers with enhanced thermal and fuel resistance properties.
Inorganic and Organometallic Polymers
This book has its origins in courses taught by the author to various und- graduate and graduate students at the Indian Institute of Technology, K- pur, India. The diversity of inorganic chemistry and its impact on polymer chemistry has been profound. This subject matter has grown considerably in the last decade and the need to present it in a coherent manner to young minds is a pedagogic challenge. The aim of this book is to present to the students an introduction to the developments in Inorganic and - ganometallic polymers. This book is divided into eight chapters. Chapter 1 provides a general overview on the challenges of Inorganic polymer synthesis. This is f- lowed by a survey of organic polymers and also includes some basic f- tures of polymers. Chapters 3-8 deal with prominent families of inorganic and organometallic polymers. Although the target group of this book is the undergraduate and graduate students of chemistry, chemical engineering and materials science it is also hoped that chemists and related scientists in industry would find this book useful.
Innovative Perspectives in Oral and Maxillofacial Surgery
Examines the latest technologies and developments in oral and maxillofacial surgery. Extensive and unique, Innovative Perspectives in Oral and Maxillofacial Surgery is a vital tool for all dental specialists ranging from undergraduate students to established oral maxillofacial surgeons.
Innovative Learning Environments in STEM Higher Education : Opportunities, Challenges, and Looking Forward
As explored in this book, higher education in STEM fields is influenced by many factors, including education research, government and school policies, financial considerations, technology limitations, and acceptance of innovations by faculty and students.
Innovative Endocrinology of Cancer
Deals with developments in such topics as mechanisms of hormonal carcinogenesis, epidemiology and risk factors, hormone production by tumor tissue and hormonal sensitivity of the latter, genesis, dichotomy and endocrinology of cancer in females, and pharmacogenomics and proteomics in oncoendocrinology.
Innovative bioceramics in translational medicine II : Surgical applications
Highlights the latest advances in innovative bioceramics applied in the highly interdisciplinary area referred to as “translational medicine”. This volume predominantly written by surgeons in the fields of craniomaxillofacial, orthopedics, and spinal surgery, examines the translation of innovative bioceramics and bioceramics-based composite from the laboratory to a personalized surgical environment for the repair of damaged and diseased bone tissues.
Innovations in rehabilitation sciences education : Preparing Leaders for the future
We are most fortunate to be housed in an institution that embraces risk taking and innovation in education. Part of the joy of working at McMaster University is the sense that you will be supported in your efforts to develop new ways of facilitating learning even if these are not always successful. We are privileged to work with a group of exceptional colleagues who embrace - novation and strive for ongoing excellence in education.
Innovations in Quantitative Risk Management ; TU München, September 2013
The KPMG Center of Excellence in Risk Management conference Risk Management Reloaded and this proceedings volume contribute to bridging the gap between academia –providing methodological advances– and practice –having a firm understanding of the economic conditions in which a given model is used. Discussed fields of application range from asset management, credit risk, and energy to risk management issues in insurance. Methodologically, dependence modeling, multiple-curve interest rate-models, and model risk are addressed. Finally, regulatory developments and possible limits of mathematical modeling are discussed.
Innovations in preventive dentistry
Preventive dentistry is a constantly changing and developing field: As new research emerges, some practices that had once been revolutionary are abandoned, while others continue to withstand the test of time. This book discusses new developments and innovations in preventive dentistry, from primary prevention to secondary prevention by inactivating initial lesions, and on to tertiary prevention to avoid subsequent progression and complications of manifest oral disease. The book relies on a solid evidence base and instructs readers how this can be translated into clinical dental practice—what changes should be made to how we practice and why they should be made. Topics include caries and periodontal disease, orthodontic problems, diagnostic approaches, diet and oral health, oral hygiene, oral disease patterns, caries treatment, fluoride guidelines, risk management, sealants, and probiotics.
