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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.

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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.

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Integral bridges : a fundamental approach to the time–temperature loading problem

In recent years, integral bridges have become increasingly popular in the UK. The Highways Agency standard now requires, where possible, that all new bridges with a length of less than sixty metres should be of integral form. In addition, it has been found that, due especially to the problems and costs associated with failed expansion joints, integral bridges are not only cost effective but also have a longer lifespan. Integral Bridges was commissioned by the Highways Agency to produce guidance for bridge designers by addressing the thermally induced soil/structure interaction problem created by environmental changes of temperature and the associated cyclical displacements imposed on the granular backfill to the bridge abutments. It develops a better theoretical understanding of the cyclic performance, in particular the strain racheting in the backfill soil when in contact with a stiff structure. It also identifies the governing soil parameters and examines their influence in the interaction problem, develops numerical modelling procedures to predict interactive soil behaviour, and identifies and quantifies the controlling features of bridge structures relevant to the interaction problem.

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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.

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Integrable Hamiltonian Hierarchies : Spectral and Geometric Methods

This book presents a detailed derivation of the spectral properties of the Recursion Operators allowing one to derive all the fundamental properties of the soliton equations and to study their Hamiltonian hierarchies. Thus it is demonstrated that the inverse scattering method for solving soliton equations is a nonlinear generalization of the Fourier transform. The book brings together the spectral and the geometric approaches and as such will be useful to a wide readership: from researchers in the field of nonlinear completely integrable evolution equations to graduate and post-graduate students.

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Integer programming and combinatorial optimization ; 9th International IPCO Conference, Cambridge, MA, USA, May 27-29, 2002. Proceedings

This volume contains the papers selected for presentation at IPCO 2002, the NinthInternationalConferenceonIntegerProgrammingandCombinatorial- timization, Cambridge, MA (USA), May 27–29, 2002. The IPCO series of c- ferences highlights recent developments in theory, computation, and application of integer programming and combinatorial optimization. IPCO was established in 1988 when the ?rst IPCO program committee was formed. IPCO is held every year in which no International Symposium on Ma- ematical Programming (ISMP) takes places. The ISMP is triennial, so IPCO conferences are held twice in every three-year period. The eight previous IPCO conferences were held in Waterloo (Canada) 1990, Pittsburgh (USA) 1992, Erice (Italy) 1993, Copenhagen (Denmark) 1995, Vancouver (Canada) 1996, Houston (USA) 1998, Graz (Austria) 1999, and Utrecht (The Netherlands) 2001. In response to the call for papers for IPCO 2002, the program committee received 110 submissions, a record number for IPCO. The program committee met on January 7 and 8, 2002, in Aussois (France), and selected 33 papers for inclusion in the scienti?c program of IPCO 2002. The selection was based on originality and quality, and re?ects many of the current directions in integer programming and combinatorial optimization research.

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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.

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Intangible capital and growth : Essays on labor productivity, monetary economics, and political economy ; Vol.1

It is now widely recognized that intangible capital has been a crucial element in the growth performance of these economies and their firms. In the author's view, “intangible capital” serves as the most appropriate umbrella term for capturing several dimensions of capital that are not tangible in nature but are nevertheless fundamentally important for growth. The term encompasses investments in education (human capital) and in informal (social capital) and formal (rule of law) institutions by the public sector and households, as well as investments by businesses aimed at enhancing their knowledge base, such as software, innovative property, and economic competencies.

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Insurance intermediation : An economic analysis of the information services market

Insurance intermediaries can help consumers to economize on information and transaction costs in insurance markets. However, competing intermediaries provide heterogeneous information services, which are difficult to assess by incompletely informed consumers. Conduct and performance in the market for insurance information services are analyzed by applying search theoretical and industrial organization approaches. Based on a sample of 927 insurance intermediaries, the factors that affect the quality of the information services provided by them are studied empirically. The results obtained support the main hypotheses derived from industrial organization theories as to the poor working of quality competition under incomplete and asymmetric information on the side of consumers.

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Insurance distribution directive : A legal analysis

This book of the AIDA Europe Research Series on Insurance Law and Regulation offers the first comprehensive legal and regulatory analysis of the Insurance Distribution Directive (IDD).

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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.

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Insulin resistance

Insulin is a peptide hormone secreted by the B cells of the pancreatic islets of Langerhans and maintains normal blood glucose levels by facilitating cellular glucose uptake, regulating carbohydrate, lipid and protein metabolism and promoting cell division and growth through its mutagenic effects.

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Insulating Modernism : Isolated and Non-Isolated Thermodynamics in Architecture

What is the best way to achieve sustainable energy savings in buildings? This book describes the history, theory and facts of the mainstream insulation technology and the emerging alternative design approaches.

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Instrumaster

Experiments with different neural network structures and algorithms in order to achieve musical note recognition as well as musical instrument recognition, all bundled in a mobile application. It also aims to create the most effective music-learning application that works completely offline, which is hard to find in modern music applications. The paper also explores why the instrument identifying AI is solely based on Multi-Layer Perceptron (MLP) and why the note-identifying AI system was chosen to be a ML system over CNN or other deep-learning trained AI. The paper presents feature extraction methods for audio signals and files and dives deep into the process, such as FFT, MFCCs, Wavelengths, sampling rates, etc. It also touches on Logistic Regression Algorithms, their limitations, and their performance with the different use cases in the application. All these techniques are then compared side by side for maximally added value, making this research paper a good reference for any future developers looking to find optimal neural networks techniques when it comes to audio processing and analysis.

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Instructional Scaffolding in STEM Education : Strategies and Efficacy Evidence

This book uses meta-analysis to synthesize research on scaffolding and scaffolding-related interventions in STEM (science, technology, engineering, and mathematics) education. Specifically, the volume examines the extent to which study quality, assessment type, and scaffolding characteristics (strategy, intended outcome, fading schedule, scaffolding intervention, and paired intervention) influence cognitive student outcomes. It includes detailed descriptions of the theoretical foundations of scaffolding, scaffolding strategies that have been proposed to meet different intended learning outcomes in STEM, and associated efficacy information. Furthermore, the book describes assessment strategies and study designs which can be used to evaluate the influence of scaffolding, and suggests new fields in which scaffolding strategies that have proven efficacious may be used.

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Institutions, Equilibria and Efficiency: Essays in Honor of Birgit Grodal

Competition and efficiency is at the core of economic theory. This volume collects papers of leading scholars, which extend the conventional general equilibrium model in important ways: Efficiency and price regulation are studied when markets are incomplete and existence of equilibria in such settings is proven under very general preference assumptions. The model is extended to include geographical location choice, a commodity space incorporating manufacturing imprecision and preferences for club-membership, schools and firms.

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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.

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Institutional Reform for Innovation and Entrepreneurship : An Agenda for Europe

The authors of this book advise the economies of the European Union to become more entrepreneurial in promoting innovation and economic growth. The authors propose a reform strategy with respect to several aspects to achieve this goal. Starting with the rule of law and the protection of property rights; the tax system; the authors deal with regulations governing savings, capital and finance, and the organization of labor markets and social insurance systems. Framework strategies related to the regulations governing goods and service markets, bankruptcy and insolvency are also put forward. A core understanding and future path is also provided towards R&D, commercialization and knowledge spillovers; human capital investments; and informal institutions.

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Institutional Dynamics in Environmental Governance

This book presents fresh analyses of a number of well-known cases, but does so from one comprehensive view, the so-called policy arrangement approach. Cases discussed range over organic farming, integrated water management, nature policy, cultural heritage policy, integrated region-oriented policy, corporate environmental management and target group policy, always in search of the commonality of experience and conclusions to be drawn in understanding the past and in formulating future perspectives.

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Institutional Context of Education Systems in Europe : A Cross-Country Comparison on Quality and Equity

In this volume, the authors take up the challenge of considering what a European ‘settlement’ might look like. In doing so, they take into account worldwide trends and the increasing evidence of convergence across educational systems. The outcomes of comparative analyses seem to suggest that strong education systems in terms of finance, governance and choice could be preferable. To a greater or lesser extent, therefore, all the systems of education currently in use in Europe face some common challenges. The way in which these challenges are addressed will determine the future of these systems.

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