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Abstraction Refinement for Large Scale Model Checking

This book describes recent research developments in automatic abstraction refinement techniques. The authors address the main challenge in abstraction refinement, i.e., the ability to efficiently reach or come close to the optimum abstraction (the smallest abstract model that proves or refutes the given property). A suite of fully automatic abstraction techniques are proposed to improve the overall computation efficiency. The suite of algorithms presented in this book has demonstrated significant improvement over the prior art; some of them have already been adopted by the EDA companies in their commercial/in-house verification tools.

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Abstract Harmonic Analysis of Continuous Wavelet Transforms

This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a – reasonably self-contained – exposition of Plancherel theory. Therefore, the book can also be read as a problem-driven introduction to the Plancherel formula.

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Abductive Reasoning : Logical Investigations into Discovery and Explanation

Abductive Reasoning: Logical Investigations into Discovery and Explanation is a much awaited original contribution to the study of abductive reasoning, providing logical foundations and a rich sample of pertinent applications.

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A window on the future of geodesy ; Proceedings of the International Association of Geodesy. IAG General Assembly, Sapporo, Japan June 30 - July 11, 2003

These proceedings represent the worldwide picture of the state of the art of geodesy. The volume comprehensively covers the most recent results and supplies a good review of the new ideas developing in the field, opening a window to the future of geodesy.

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A Theory of Shape Identification

Recent years have seen dramatic progress in shape recognition algorithms applied to ever-growing image databases. They have been applied to image stitching, stereo vision, image mosaics, solid object recognition and video or web image retrieval. More fundamentally, the ability of humans and animals to detect and recognize shapes is one of the enigmas of perception. The book describes a complete method that starts from a query image and an image database and yields a list of the images in the database containing shapes present in the query image. A false alarm number is associated to each detection. Many experiments will show that familiar simple shapes or images can reliably be identified with false alarm numbers ranging from 10-5 to less than 10-300.

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A Singular Introduction to Commutative Algebra

Aims to lead a further stage in the computational revolution in commutative algebra. Another feature of the book is its breadth of coverage of theoretical topics in the portions of commutative algebra closest to algebraic geometry, with algorithmic treatments of almost every topic.

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A Rosicrucian Utopia in Eighteenth-Century Russia : The Masonic Circle of N.I. Novikov

The author undertakes an investigation into the history of Russian Freemasonry that has not been attempted previously. Her premise is that the Russian Enlightenment shows peculiar features, which prevent the application of the interpretative framework commonly used for the history of western thought. The author deals with the development of early Russian masonry, the formation of the Novikov circle in Moscow, the ‘programme’ of Rosicrucianism and the character of its Russian variant and, finally, the clash between the Rosicrucians and the State. The author concludes that the defenders of the Ancien Régime were not wrong. In fact the democratic behaviour, the critical attitude, the practice of participation, the freedom of thought, the tolerance for the diversity, the search for a direct communication with the divinity.

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A rose armed with thorns : Spinoza’s Philosophy under a novel lens

presents a systemic analysis of Spinoza’s philosophy and challenges the traditional views. It deals with Spinoza’s concepts of substance, truth conditions, attributes, and the first, second, and supreme grades of knowledge. Based upon an analysis of the relevant details in all of Spinoza’s philosophical works, reveals many important points, including the following: Spinoza’s system is not, nor is meant to be, a foundational-deductive system but was meant to be a coherent system of a network model. Spinoza’s reality is not made in the image of a mathematical model. Imaginatio, the first grade of knowledge, and ratio, the second grade, are parts or properties of the supreme grade of knowledge, scientia intuitiva, which is their essence.

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A Roadmap for Formal Property Verification

This book develops the answers to these questions and fits them into a roadmap for formal property verification – a roadmap that shows how to glue FPV technology into the traditional validation flow. A Roadmap for Formal Property Verification explores the key issues in this powerful technology through simple examples – you do not need any background on formal methods to read most parts of this book.

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A Prodigy of Universal Genius : Robert Leslie Ellis, 1817-1859

Written by a diverse team of experts, the chapters in the book’s first part contain in-depth examinations of, among other things, Ellis’s family, education, Bacon scholarship and mathematical contributions. The second part consists of annotated transcriptions of a selection of Ellis’s diaries and correspondence. Taken together, A Prodigy of Universal Genius: Robert Leslie Ellis, 1817–1859 is a rich resource for historians of science, historians of mathematics and Victorian scholars alike.

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A Primer on Environmental Decision-Making: an integrative quantitative approach

Integrates decision-making and environmental science. For ecologists it will bridge the gap to economics. For practitioners in environmental economics and management it will be a major reference book. It probably contains the largest collection available of expressions and basic equations that are used in environmental sciences. Applying these expressions as "rules-of-thumb" will give participants in a decision-making process a common platform for discussion and arbitration.

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A Portrait of State-of-the-Art Research at the Technical University of Lisbon

This book contains the edited version of the invited lectures that were delivered by prominent researchers at UTL. This book brings together in a review manner a comprehensive summary of high quality research contri- tions across basic and applied sciences. The contributing papers are organized around the following major areas: – Emergent areas (Nanosciences, Quantic Computations and Infor- tion, Risk and Volatility in Financial Markets); – Basic Sciences (Mathematics, Physics, Chemistry and Materials); – Social Sciences, Economics and Management Sciences; – Life Sciences and Biotechnology; – Engineering and Technologies – Nature, Environment and Sustainability; – Public Health, Food Quality and Safety; – Health and Sport Sciences; – Urbanism, Transports, Architecture, Arts and Design.

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A Multidisciplinary Approach to Capability in Age and Ageing

This book provides insight on how to interpret capability in ageing – one’s individual ability to perform actions in order to reach goals one has reason to value – from a multidisciplinary approach. the book describes this demographic trends as well as the large global challenges and important societal implications this will have such as a worldwide increase in the number of persons affected with dementia, and in the ratio of retired persons to those still in the labor market. Through contributions from many different research areas, it discussed how capability depends on interactions between the individual (e.g. health, genetics, personality, intellectual capacity), environment (e.g. family, friends, home, work place), and society (e.g. political decisions, ageism, historical period).

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A Modern Perspective on Type Theory : From its Origins until Today

The first part of the book is historical, yet at the same time, places historical systems (like Russell's RTT) in the modern setting. The second part deals with modern type theory as it developed since the 1940s, and with the role of propositions as types (or proofs as terms), but at the same time, places another historical system (the proof checker Automath) in the modern setting. The third part uses this bridging in the first two parts between historical and modern systems to propose new systems that bring more advantages together. This book has much to offer to mathematicians, logicians and to computer scientists in general. It will have considerable influence for many years to come.' - Henk Barendregt

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A Mathematical Introduction to Conformal Field Theory

The first part of this book gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. In particular, the conformal groups are determined and the appearance of the Virasoro algebra in the context of the quantization of two-dimensional conformal symmetry is explained via the classification of central extensions of Lie algebras and groups. The second part surveys some more advanced topics of conformal field theory, such as the representation theory of the Virasoro algebra, conformal symmetry within string theory, an axiomatic approach to Euclidean conformally covariant quantum field theory and a mathematical interpretation of the Verlinde formula in the context of moduli spaces of holomorphic vector bundles on a Riemann surface.

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A life cycle for clusters? : The dynamics of agglomeration, change, and adaption

The phenomenon of non-random spatial concentrations of firms in one or few related sectors (clusters) is intensively debated in economic theory and policy. The euphoria about successful clusters however neglects that historically, many thriving clusters did deteriorate into old industrial areas. This book studies the determinants of cluster survival by analyzing their adaptability to change in the economic environment. Linking theoretic knowledge with empirical observations, a simulation model (based in the N/K method) is developed, which explains when and why the cluster's architecture assists or hampers adaptability. It is found that architectures with intermediate degrees of division of labour and more collective governance forms foster adaptability. Cluster development is thus path dependent as architectures having evolved over time impact on the likelihood of future survival.

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A History of Chinese Mathematics

It includes many new recent insights and illustrations, a new appendix on Chinese primary sources and a guide to the to the bibliography. From the reviews: "This book ranks with the most erudite Asian publications, and is the most informative and most broadly informed on its topic in any language.this book apart from the usual histories of mathemathics (in any language, Chinese or Western, of any period or country) is its emphasis first on context, then on content, in describing the long history of Chinese mathematics. It is primarily the question of context that Martzloff approaches directly. Perhaps the greatest contribution his book makes is the chance it offers to consider issues of cultural context as significant, determining factors in the history of mathematics.

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A Geometric Approach to Differential Forms

The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the undergraduate level. The book begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. This facilitates the development of differential forms without assuming a background in linear algebra. Throughout the text, emphasis is placed on applications in 3 dimensions, but all definitions are given so as to be easily generalized to higher dimensions. A centerpiece of the text is the generalized Stokes' theorem. Although this theorem implies all of the classical integral theorems of vector calculus, it is far easier for students to both comprehend and remember.

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A First Course in Harmonic Analysis

This book is a primer in harmonic analysis using an elementary approach. Its first aim is to provide an introduction to Fourier analysis, leading up to the Poisson Summation Formula. Secondly, it makes the reader aware of the fact that both, the Fourier series and the Fourier transform, are special cases of a more general theory arising in the context of locally compact abelian groups. The third goal of this book is to introduce the reader to the techniques used in harmonic analysis of noncommutative groups. There are two new chapters in this new edition. One on distributions will complete the set of real variable methods introduced in the first part. The other on the Heisenberg Group provides an example of a group that is neither compact nor abelian, yet is simple enough to easily deduce the Plancherel Theorem.

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A First Course in Differential Equations

This text is designed for the standard post-calculus course in elementary differential equations. It is a brief, one-semester treatment of the basic ideas, models, and solution methods. The book, which serves as an alternative to existing texts for instructors who want more concise coverage, emphasizes graphical, analytical, and numerical approaches, and is written with clear language in a user-friendly format. It provides students with the tools to continue on to the next level in applying differential equations to problems in engineering, science, and applied mathematics.

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