This textbook provides a detailed treatment of abstract integration theory, construction of the Lebesgue measure via the Riesz-Markov Theorem and also via the Carathéodory Theorem. It also includes some elementary properties of Hausdorff measures as well as the basic properties of spaces of integrable functions and standard theorems on integrals depending on a parameter. Integration on a product space, change of variables formulas as well as the construction and study of classical Cantor sets are treated in detail. Classical convolution inequalities, such as Young's inequality and Hardy-Littlewood-Sobolev inequality are proven. The Radon-Nikodym theorem, notions of harmonic analysis, classical inequalities and interpolation theorems, including Marcinkiewicz's theorem, the definition of Lebesgue points and Lebesgue differentiation theorem are further topics included. A detailed appendix provides the reader with various elements of elementary mathematics, such as a discussion around the calculation of antiderivatives or the Gamma function. The appendix also provides more advanced material such as some basic properties of cardinals and ordinals which are useful in the study of measurability.
This volume contains 14 research papers, which cover various topics, including blowup questions for quasilinear equations in 2-D, uniqueness results for systems of conservation laws in 1-D, conservation effects for critical nonlinear wave equations, diffraction of nonlinear waves, propagation of singularities in scattering theory, and caustics for semilinear oscillations. Other topics linked to microlocal analysis which are discussed are Sobolev spaces in Weyl-Hormander calculus, local solvability for pseudodifferential equations, and hypoellipticity for highly degenerate operators. A result for the Cauchy problem under partial analyticity assumptions and an article on the regularity of solutions for the characteristic initial boundary value problem are also included. Most of the papers contain detailed proofs which are accessible to graduate students and active researchers in connected areas
Over the past 25 years, Carleman estimates have become an essential tool in several areas related to partial differential equations such as control theory, inverse problems, or fluid mechanics. This book provides a detailed exposition of the basic techniques of Carleman Inequalities, driven by applications to various questions of unique continuation. Beginning with an elementary introduction to the topic, including examples accessible to readers without prior knowledge of advanced mathematics, the book's first five chapters contain a thorough exposition of the most classical results, such as Calderón's and Hörmander's theorems. Later chapters explore a selection of results of the last four decades around the themes of continuation for elliptic equations, with the Jerison-Kenig estimates for strong unique continuation, counterexamples to Cauchy uniqueness of Cohen and Alinhac & Baouendi, operators with partially analytic coefficients with intermediate results between Holmgren's and Hörmander's uniqueness theorems, Wolff's modification of Carleman's method, conditional pseudo-convexity, and more. With examples and special cases motivating the general theory, as well as appendices on mathematical background, this monograph provides an accessible, self-contained basic reference on the subject, including a selection of the developments of the past thirty years in unique continuation.
This book is devoted to the study of pseudo-di?erential operators, with special emphasis on non-selfadjoint operators, a priori estimates and localization in the phase space. We have tried here to expose the most recent developments of the theory with its applications to local solvability and semi-classical estimates for non-selfadjoint operators. The?rstchapter,Basic Notions of Phase Space Analysis,isintroductoryand gives a presentation of very classical classes of pseudo-di?erential operators, along with some basic properties. As an illustration of the power of these methods, we give a proof of propagation of singularities for real-principal type operators (using aprioriestimates,andnotFourierintegraloperators),andweintroducethereader to local solvability problems. That chapter should be useful for a reader, say at the graduate level in analysis, eager to learn some basics on pseudo-di?erential operators. The second chapter, Metrics on the Phase Space begins with a review of symplectic algebra, Wigner functions, quantization formulas, metaplectic group and is intended to set the basic study of the phase space. We move forward to the more general setting of metrics on the phase space, following essentially the basic assumptions of L. H ̈ ormander (Chapter 18 in the book [73]) on this topic.
Pseudo-differential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudo-differential operators, Weyl transforms, Daubechies operators, Wick quantization and time-frequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted.
Peace on Earth: The Role of Religion in Peace and Conflict Studies provides a critical analysis of faith and religious institutions in peacebuilding practice and pedagogy. The work captures the synergistic relationships among faith traditions and how multiple approaches to conflict transformation and peacebuilding result in a creative process that has the potential to achieve a more detailed view of peace on earth, containing breadth as well as depth. Library and bookstore shelves are filled with critiques of the negative impacts of religion in conflict scenarios. Peace on Earth: The Role of Religion in Peace and Conflict Studies offers an alternate view that suggests religious organizations play a more complex role in conflict than a simply negative one. Faith-based organizations, and their workers, are often found on the frontlines of conflict throughout the world, conducting conflict management and resolution activities as well as advancing peacebuilding initiatives.
This book is devoted to the study of pseudo-di?erential operators, with special emphasis on non-selfadjoint operators, a priori estimates and localization in the phase space. We have tried here to expose the most recent developments of the theory with its applications to local solvability and semi-classical estimates for non-selfadjoint operators. The?rstchapter,Basic Notions of Phase Space Analysis,isintroductoryand gives a presentation of very classical classes of pseudo-di?erential operators, along with some basic properties. As an illustration of the power of these methods, we give a proof of propagation of singularities for real-principal type operators (using aprioriestimates,andnotFourierintegraloperators),andweintroducethereader to local solvability problems. That chapter should be useful for a reader, say at the graduate level in analysis, eager to learn some basics on pseudo-di?erential operators. The second chapter, Metrics on the Phase Space begins with a review of symplectic algebra, Wigner functions, quantization formulas, metaplectic group and is intended to set the basic study of the phase space. We move forward to the more general setting of metrics on the phase space, following essentially the basic assumptions of L. H ̈ ormander (Chapter 18 in the book [73]) on this topic.
On this broiling-hot desert planet, only carapodes—wondrous giant tortoises—can safely move around and deliver mail and resources to the lonely cities perched far apart on rocky ledges. And only one person, Arobase, can guide the carapodes. When he decides to leave them to fend for themselves, the whole world starts falling apart . . .
Over the past 25 years, Carleman estimates have become an essential tool in several areas related to partial differential equations such as control theory, inverse problems, or fluid mechanics. This book provides a detailed exposition of the basic techniques of Carleman Inequalities, driven by applications to various questions of unique continuation. Beginning with an elementary introduction to the topic, including examples accessible to readers without prior knowledge of advanced mathematics, the book's first five chapters contain a thorough exposition of the most classical results, such as Calderón's and Hörmander's theorems. Later chapters explore a selection of results of the last four decades around the themes of continuation for elliptic equations, with the Jerison-Kenig estimates for strong unique continuation, counterexamples to Cauchy uniqueness of Cohen and Alinhac & Baouendi, operators with partially analytic coefficients with intermediate results between Holmgren's and Hörmander's uniqueness theorems, Wolff's modification of Carleman's method, conditional pseudo-convexity, and more. With examples and special cases motivating the general theory, as well as appendices on mathematical background, this monograph provides an accessible, self-contained basic reference on the subject, including a selection of the developments of the past thirty years in unique continuation.
On this broiling-hot desert planet, only carapodes—wondrous giant tortoises—can safely move around and deliver mail and resources to the lonely cities perched far apart on rocky ledges. And only one person, Arobase, can guide the carapodes. When he decides to leave them to fend for themselves, the whole world starts falling apart . . .
This is the first EU competition law treatise that fully integrates economic reasoning in its treatment of the decisional practice of the European Commission and the case-law of the European Court of Justice. Since the European Commission's move to a "more economic approach" to competition law reasoning and decisional practice, the use of economic argument in competition law cases has become a stricter requirement. Many national competition authorities are also increasingly moving away from a legalistic analysis of a firm's conduct to an effect-based analysis of such conduct, indeed most competition cases today involve teams composed of lawyers and industrial organisation economists. Competition law books tend to have either only cursory coverage of economics, have separate sections on economics, or indeed are far too technical in the level of economic understanding they assume. Ensuring a genuinely integrated approach to legal and economic analysis, this major new work is written by a team combining the widely recognised expertise of two competition law practitioners and a prominent economic consultant. The book contains economic reasoning throughout in accessible form, and, more pertinently for practitioners, examines economics in the light of how it is used and put to effect in the courts and decision-making institutions of the EU. A general introductory section sets EU competition law in its historical context. The second chapter goes on to explore the economics foundations of EU competition law. What follows then is an integrated treatment of each of the core substantive areas of EU competition law, including Article 101 TFEU, Article 102 TFEU, mergers, cartels and other horizontal agreements and vertical restraints.
Combining insights from academic research and practical examples, this book aims to better understand the link between financial markets and innovation management. First, we are back to the very definition of innovation and what it means for financial and non-financial companies. Then, we analyze if efficient innovation management by companies is recognized and valued by financial markets. Finally, we focus on innovation within the financial sector: does it really create value outside the financial sector itself. Are Financial innovations value … or risk creators?
In order to describe the logic of morality, "contractualist" philosophers have studied how individuals behave when they choose to follow their moral intuitions. These individuals, contractualists note, often act as if they have bargained and thus reached an agreement with others about how to distribute the benefits and burdens of mutual cooperation. Using this observation, such philosophers argue that the purpose of morality is to maximize the benefits of human interaction. The resulting "contract" analogy is both insightful and puzzling. On one hand, it captures the pattern of moral intuitions, thus answering questions about human cooperation: why do humans cooperate? Why should the distribution of benefits be proportionate to each person's contribution? Why should the punishment be proportionate to the crime? Why should the rights be proportionate to the duties? On the other hand, the analogy provides a mere as-if explanation for human cooperation, saying that cooperation is "as if" people have passed a contract-but since they didn't, why should it be so? To evolutionary thinkers, the puzzle of the missing contract is immediately reminiscent of the puzzle of the missing "designer" of life-forms, a puzzle that Darwin's theory of natural selection essentially resolved. Evolutionary and contractualist theory originally intersected at the work of philosophers John Rawls and David Gauthier, who argued that moral judgments are based on a sense of fairness that has been naturally selected. In this book, Nicolas Baumard further explores the theory that morality was originally an adaptation to the biological market of cooperation, an arena in which individuals competed to be selected for cooperative interactions. In this environment, Baumard suggests, the best strategy was to treat others with impartiality and to share the costs and benefits of cooperation in a fair way, so that those who offered less than others were left out of cooperation while those who offered more were exploited by their partners. It is with this evolutionary approach that Baumard ultimately accounts for the specific structure of human morality.
The scientific scramble to discover the first generation of drugs created through genetic engineering. The biotech arena emerged in the 1970s and 1980s, when molecular biology, one of the fastest-moving areas of basic science in the twentieth century, met the business world. Gene Jockeys is a detailed study of the biotech projects that led to five of the first ten recombinant DNA drugs to be approved for medical use in the United States: human insulin, human growth hormone, alpha interferon, erythropoietin, and tissue plasminogen activator. Drawing on corporate documents obtained from patent litigation, as well as interviews with the ambitious biologists who called themselves gene jockeys, historian Nicolas Rasmussen chronicles the remarkable, and often secretive, work of the scientists who built a new domain between academia and the drug industry in the pursuit of intellectual rewards and big payouts. In contrast to some who critique the rise of biotechnology, Rasmussen contends that biotech was not a swindle, even if the public did pay a very high price for the development of what began as public scientific resources. Within the biotech enterprise, the work of corporate scientists went well beyond what biologists had already accomplished within universities, and it accelerated the medical use of the new drugs by several years. In his technically detailed and readable narrative, Rasmussen focuses on the visible and often heavy hands that construct and maintain the markets in public goods like science. He looks closely at how science follows money, and vice versa, as researchers respond to the pressures and potential rewards of commercially viable innovations. In biotechnology, many of those engaged in crafting markets for genetically engineered drugs were biologists themselves who were in fact trying to do science. This book captures that heady, fleeting moment when a biologist could expect to do great science through the private sector and be rewarded with both wealth and scientific acclaim.
The rise of populism in the West and the rise of China in the East have stirred a rethinking of how democratic systems work—and how they fail. The impact of globalism and digital capitalism is forcing worldwide attention to the starker divide between the “haves” and the “have-nots,” challenging how we think about the social contract. With fierce clarity and conviction, Renovating Democracy tears down our basic structures and challenges us to conceive of an alternative framework for governance. To truly renovate our global systems, the authors argue for empowering participation without populism by integrating social networks and direct democracy into the system with new mediating institutions that complement representative government. They outline steps to reconfigure the social contract to protect workers instead of jobs, shifting from a “redistribution” after wealth to “pre-distribution” with the aim to enhance the skills and assets of those less well-off. Lastly, they argue for harnessing globalization through “positive nationalism” at home while advocating for global cooperation—specifically with a partnership with China—to create a viable rules-based world order. Thought provoking and persuasive, Renovating Democracy serves as a point of departure that deepens and expands the discourse for positive change in governance.
In many discussions of nations' development, we often focus on their economic and social development. Is it becoming wealthier? Is its society modernizing? Is it becoming more technologically sophisticated? Are social outcomes improving for the broad mass of the public? The process of development policy implementation, however, is always and inevitably political. Put simply, regime type matters when it comes to deciding on a course of development to follow. Further, political institutions matter. When a government's institutional capacity is low, the chances of success severely decline, regardless of the merits of the development plan. In The Oxford Handbook of the Politics of Development, two of America's leading political scientists on the issue, Carol Lancaster and Nicolas van de Walle, have assembled an international cast of leading scholars to craft a broad, state-of-the-art work on this vitally important topic. This volume is divided into five sections: major theories of the politics of development, organized historically (e.g. modernization theory, dependency theory, the Washington consensus of 'policies without politics,' etc.); key domestic factors and variables; key international factors and variables; political systems and structures; and geographical perspectives, inclusive of regional dynamics. A comprehensive and cross-regional examination on key issues of political development, this Handbook not only provides an authoritative synthesis of past scholarship, but also sets the agenda for future research in this discipline.
The Function of Symptoms in British Literature since Modernism looks at various ways of treating symptoms of psychological disorders in the literature of the long twentieth century. This book shows that literature can, in its questioning of commonly accepted views of this lived experience of psychic symptoms, help engender new theories about the functioning of subjective cases. Modernism emerged at about the same time as Freudian psychoanalysis did and the aim of this book is to also show that to a certain extent, Woolf preceded Freud in her exploration of the symptom and contributed to fashioning another approach that is now more common, especially in writers from the 1990s-onwards.
Floating-point arithmetic is the most widely used way of implementing real-number arithmetic on modern computers. However, making such an arithmetic reliable and portable, yet fast, is a very difficult task. As a result, floating-point arithmetic is far from being exploited to its full potential. This handbook aims to provide a complete overview of modern floating-point arithmetic. So that the techniques presented can be put directly into practice in actual coding or design, they are illustrated, whenever possible, by a corresponding program. The handbook is designed for programmers of numerical applications, compiler designers, programmers of floating-point algorithms, designers of arithmetic operators, and more generally, students and researchers in numerical analysis who wish to better understand a tool used in their daily work and research.
After the Enlightenment is the first attempt at understanding modern political realism as a historical phenomenon. Realism is not an eternal wisdom inherited from Thucydides, Machiavelli or Hobbes, but a twentieth-century phenomenon rooted in the interwar years, the collapse of the Weimar Republic, and the transfer of ideas between Continental Europe and the United States. The book provides the first intellectual history of the rise of realism in America, as it informed policy and academic circles after 1945. It breaks through the narrow confines of the discipline of international relations and resituates realism within the crisis of American liberalism. Realism provided a new framework for foreign policy thinking and transformed the nature of American democracy. This book sheds light on the emergence of 'rational choice' as a new paradigm for political decision-making and speaks to the current revival in realism in international affairs.
In this book . . . Nicolas Vandeput hacks his way through the maze of quantitative supply chain optimizations. This book illustrates how the quantitative optimization of 21st century supply chains should be crafted and executed. . . . Vandeput is at the forefront of a new and better way of doing supply chains, and thanks to a richly illustrated book, where every single situation gets its own illustrating code snippet, so could you. --Joannes Vermorel, CEO, Lokad Inventory Optimization argues that mathematical inventory models can only take us so far with supply chain management. In order to optimize inventory policies, we have to use probabilistic simulations. The book explains how to implement these models and simulations step-by-step, starting from simple deterministic ones to complex multi-echelon optimization. The first two parts of the book discuss classical mathematical models, their limitations and assumptions, and a quick but effective introduction to Python is provided. Part 3 contains more advanced models that will allow you to optimize your profits, estimate your lost sales and use advanced demand distributions. It also provides an explanation of how you can optimize a multi-echelon supply chain based on a simple—yet powerful—framework. Part 4 discusses inventory optimization thanks to simulations under custom discrete demand probability functions. Inventory managers, demand planners and academics interested in gaining cost-effective solutions will benefit from the "do-it-yourself" examples and Python programs included in each chapter.
The importance of financial inclusion is increasingly recognized by policymakers around the world. Small and medium-sized enterprise (SME) financial inclusion, in particular, is at the core of the economic diversification and growth challenges many countries are facing. In the Middle East and Central Asia (MENAP and CCA) regions, SMEs represent an important share of firms, but the regions lag most others in terms of SME access to financing.
As divisions grow across political, economic, and social lines, it often feels as though the only belief shared by many is that “the other side is too far gone.” An authentic difficult dialogue has the power to mobilize our shared humanity in addressing divisions and making transformative change for a more just society. Decades of social science research on meaningful human exchanges can help make sure you not only engage in a difficult dialogue, but that you can engage authentically for the desired goal of transformative change. A difficult dialogue is an exchange between two or more individuals that are likely to disagree or clash. This book will provide a solid foundation for understanding and engaging in difficult dialogues. As you traverse through the pages, you will develop a better understanding of how desires for power and belonging shape each unique difficult dialogue and recognize how experiences with motivation and defensiveness impact difficult dialogues. Further, you will read about case studies of successful dialogues between children and adults and discover the positive benefits of engaging in difficult dialogues with the youth in your life. Finally, you will be given the opportunity to learn about and practice specific skills to prepare for, engage in, and move forward before, during, and after a difficult dialogue. Given the intellectual foundation you will construct while reading this book, this book includes a workbook section to put your newfound skills to work. If you are left wondering “If difficult dialogues are difficult by nature, is it really worth engaging in one?” This book will shed light on the power dialogue grants you to inspire transformative change. Difficult dialogues show us that very few people are truly “too far gone” to communicate, reflect, transform, and act. We have all bore witness to both massive societal issues and their proliferating repercussions. However, there is hope in that each can begin to be solved and dismantled with the comparatively small task of engaging in authentic difficult dialogues. To address societal ills - to grow - we must be courageous, we must be vulnerable, and we must have authentic difficult dialogues. We must do this for a better world, for a more just world, and this book may serve as a foundation and a reference as you progress in your journey.
Most people outside of the art world view art as something that is foreign to their experiences and everyday lives. A People’s Art History of the United States places art history squarely in the rough–and–tumble of politics, social struggles, and the fight for justice from the colonial era through the present day. Author and radical artist Nicolas Lampert combines historical sweep with detailed examinations of individual artists and works in a politically charged narrative that spans the conquest of the Americas, the American Revolution, slavery and abolition, western expansion, the suffragette movement and feminism, civil rights movements, environmental movements, LGBT movements, antiglobalization movements, contemporary antiwar movements, and beyond. A People’s Art History of the United States introduces us to key works of American radical art alongside dramatic retellings of the histories that inspired them. Stylishly illustrated with over two hundred images, this book is nothing less than an alternative education for anyone interested in the powerful role that art plays in our society.
This important new work describes how the Imperial German Navy, which had expanded to become one of the great maritime forces in the world, second only to the Royal Navy, proved, with the exception of its submarines, to be largely ineffective throughout the years of conflict.The impact of this impotence had a far-reaching effect upon the service. Germany, indeed most of Europe, was in the grips of a spirit of militant nationalistic fervour, and the inactivity of the great Imperial Navy caused deep frustration, particularly among the naval officers. Not only were they unable to see themselves as heroes, they were also ridiculed on the home front and felt profoundly humiliated. With the exception of the one sea battle at Jutland, their ships saw little or no action at sea and morale slowly collapsed to a point where, at the end of the war, the crews were in a state of mutiny. The seemingly ludicrous order that forced the fleet to go to sea against the British in 1918 was driven by a sense of humiliation, but coming at the war's end it triggered a revolution because the German sailors wanted no part in such madness. The internment at Scapa Flow was the ultimate shaming. This is a fascinating and perceptive analysis of a whole era, and it contributes substantially to our understanding of the war and its consequences consequences, sadly, that helped pave the way for the Third Reich.
Discusses questions such as, what is knowledge, what qualifies as knowledge, and what does not; what does it mean to say, "I know, I understand," what is truth, and what is certainty? When can we affirm and be certain that -- I know this or that, this or that is a universal truth I can rely upon, and I know that it so because I have a method and at least one criterion to determine that this or that is indeed a universal truth. Furthermore, how do knowledge and understanding compare with belief: Are there evidences so compelling that, in certain cases, propositions of the form 'I know that X' are indeed expressions of knowledge, and in other cases merely expressions of opinions and/or beliefs? Can the words 'belief', 'understanding', and 'knowledge' be used interchangeably? And by the way, what role does reason play in our endeavours to seek knowledge? And what role does human nature play in that endeavour?
This book presents conscious business as a constantly expanding and powerful approach to reinvent and shape organizations in a human and beneficial manner. In particular it examines the core characteristics, main drivers and challenges of conscious businesses in Germany. The book offers a structured overview of the current situation of the concept and outlines important issues that need to be considered in order to make independent decisions. Four case studies of successful conscious companies – differing in terms of their size, industry, legal form and international orientation – reveal concrete best practices and provide evidence for the approach’s ability to deliver business paradigms that are simultaneously purposeful and profitable.
Economic analysis underpins and informs economic decision-making, even if there is a lengthy lag between economic analysis and its gradual absorption into economic debate. Once established as common sense, a text of economic analysis becomes incredibly powerful, because it delineates not only what is the object of knowledge but also what it is sensible to talk about or suggest. If one thinks and acts outside the framework of the dominant text of economic analysis, he risks more than simply the judgment that his recommendations are wrong; his entire moral attitude may be ridiculed or seen as dangerous just because his theoretical assumptions are deemed unrealistic. Therefore, defining common sense and, in essence, what is 'reality' and 'realistic' is the ultimate act of political power. Economic analysis does not simply explain or predict, it tells us what possibilities exist for human action and intervention; it defines both our explanatory possibilities and our moral and practical horizons. Hence, ontology and epistemology matter, and the stakes are far more considerable than at first sight seem to be the case. This is the main idea developed in the following chapters, as Dr. Laos leads readers through a pioneering way of looking at political economy.
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