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Aspects of Mathematical Finance

Considering the stupendous gain in importance, in the banking and insurance industries since the early 1990’s, of mathematical methodology, especially probabilistic methodology, it was a very natural idea for the French "Académie des Sciences" to propose a series of public lectures, accessible to an educated audience, to promote a wider understanding for some of the fundamental ideas, techniques and new tools of the financial industries. These lectures were given at the "Académie des Sciences" in Paris by internationally renowned experts in mathematical finance, and later written up for this volume which develops, in simple yet rigorous terms, some challenging topics such as risk measures, the notion of arbitrage, dynamic models involving fundamental stochastic processes like Brownian motion and Lévy processes.

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Aspects of Automatic Text Analysis

This book It collects contributions of authors from a multidisciplinary area who focus on the topic of automatic text analysis from several (i.e. linguistic, mathematical, and information theoretical) perspectives. It describes methodological as well as methodical foundations and collects approaches in the field of text and corpus linguistics. In this sense, it contributes to the computational linguistic and information theoretical grounding of automatic text analysis.

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Asia-Pacific fishing livelihoods

Where fishing livelihoods come from and where they are going are simple questions with no simple answers. Using examples of small-scale fisheries in Asia-Pacific, Fabinyi and Barclay offer eloquent analyses of how fishing livelihoods are shaped, resting on a relational approach idea

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Asian-Pacific coasts and their management : States of environment

The Asia-Pacific region is home to the world’s largest region of coral reefs and mangroves. It accommodates two-thirds of the world’s human population and its economic activities have the highest growth rate in the world. Ongoing degradation of the environment, resulting from coastal development, deforestation, desertification and over-harvesting, are becoming a matter of great concern, as floods and droughts occur as a result of this degradation. Threats of global environmental change, such as climate change and sea-level rise, will exacerbate such problems. Therefore, appropriate policies and measures are needed for coastal management, to address both the local and global trends. This book gives an overview of the state-of-the-art understanding on the drivers, state, and responses to coastal environmental changes in the Asia-Pacific region. It provides excellent perspectives on current and anticipated environmental changes in the region’s coastal areas, to researchers, students, policy makers, coastal managers and other stakeholders.

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Artificial sight : Basic research, biomedical engineering, and clinical advances

Artificial sight is a frontier area of modern ophthalmology combining the multidisciplinary skills of surgical ophthalmology, biomedical engineering, biological physics, and psychophysical testing. Many scientific, engineering, and surgical challenges must be surmounted before widespread practical applications can be realized. The goal of Artificial Sight is to summarize the state-of-the-art research in this exciting area, and to describe some of the current approaches and initiatives that may help patients in a clinical setting.

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Artificial Nutrition and Hydration : The New Catholic Debate

This collection of essays by some of the most prominent Catholic bioethicists addresses the Pope’s statements, the moral issues surrounding artificial feeding and hydration, the refusal of treatment, and the ethics of care for those at the end of life.

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Artificial Mind System : Kernel Memory Approach

This book is written from an engineer's perspective of the mind. "Artificial Mind System" exposes the reader to a broad spectrum of interesting areas in general brain science and mind-oriented studies. In this research monograph a picture of the holistic model of an artificial mind system and its behaviour is drawn, as concretely as possible, within a unified context, which could eventually lead to practical realisation in terms of hardware or software. With a view that "the mind is a system always evolving", ideas inspired by many branches of studies related to brain science are integrated within the text, i.e. artificial intelligence, cognitive science / psychology, connectionism, consciousness studies, general neuroscience, linguistics, pattern recognition / data clustering, robotics, and signal processing.

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Artificial intelligence techniques for computer graphics

This volume contains both invited and selected extended papers from the last 3IA Conference (3IA’2008), together with an introduction presenting the area of Intelligent Computer Graphics and various Computer Graphics areas where introduction of intelligent techniques permitted to resolve important problems.

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Arnheim, Gestalt and Art : A Psychological Theory

The book discovers an unappreciated unity to Arnheim’s thinking. Not content to simply summarize Arnheim’s theory, however, Arnheim, Art, and Gestalt goes on to enrich (and occasionally question) Arnheim’s findings with the contemporary results of gestalt-theoretical research from around the world, but especially in Italy and Germany. The result is a workable overview of the psychology of art with bridges built to contemporary research, making Arnheim’s approach living and sustainable.

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Arithmetical investigations : Representation theory, orthogonal polynomials, and quantum interpolations

In this volume the author further develops his philosophy of quantum interpolation between the real numbers and the p-adic numbers. The p-adic numbers contain the p-adic integers Zp which are the inverse limit of the finite rings Z/pn. This gives rise to a tree, and probability measures w on Zp correspond to Markov chains on this tree. From the tree structure one obtains special basis for the Hilbert space L2(Zp,w). The real analogue of the p-adic integers is the interval [-1,1], and a probability measure w on it gives rise to a special basis for L2([-1,1],w) - the orthogonal polynomials, and to a Markov chain on "finite approximations" of [-1,1]. For special (gamma and beta) measures there is a "quantum" or "q-analogue" Markov chain, and a special basis, that within certain limits yield the real and the p-adic theories. This idea can be generalized variously. In representation theory, it is the quantum general linear group GLn(q)that interpolates between the p-adic group GLn(Zp), and between its real (and complex) analogue -the orthogonal On (and unitary Un )groups. There is a similar quantum interpolation between the real and p-adic Fourier transform and between the real and p-adic (local unramified part of) Tate thesis, and Weil explicit sums.

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Argumentative Indicators in Discourse : A Pragma-Dialectical Study

Argumentative Indicators: A Pragma-Dialectical Study identifies and analyses English words and expressions that are crucial for an adequate reconstruction of argumentative discourse. It provides the analyst of argumentative discussions and texts with a systematic set of instruments for giving a well-founded analysis which results in an analytic overview of the elements that are relevant for the evaluation of the argumentation. In the book a systematic connection is made between linguistic insights into the characteristics of argumentative discourse and insights from argumentation theory into the resolution of differences of opinion by means of argumentation.

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Argumentation in Science Education : Perspectives from Classroom-Based Research

This book brings together the work of leading experts in argumentation in science education. It presents research combining theoretical and empirical perspectives relevant for secondary science classrooms. Since the 1990s, argumentation studies have increased at a rapid pace, from stray papers to a wealth of research exploring ever more sophisticated issues. This volume constitutes a unique collection and covers fundamental issues in argumentation such as cognitive, methodological and epistemological aspects; classroom-based research in teaching and learning of argumentation in science classrooms; and argumentation in context such as in socio-scientific and moral contexts. The book’s underlying premise is that argumentation is a significant aspect of scientific inquiry and plays an important role in teaching and learning of science.

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Arctic-Subarctic Ocean Fluxes : Defining the Role of the Northern Seas in Climate

The two-way oceanic exchanges that connect the Arctic and Atlantic oceans through subarctic seas are of fundamental importance to climate. Change may certainly be imposed on the Arctic Ocean from subarctic seas, including a changing poleward ocean heat flux that is central to determining the present state and future fate of the perennial sea-ice. And the signal of Arctic change is expected to have its major climatic impact by reaching south through subarctic seas, either side of Greenland, to modulate the Atlantic thermohaline ‘conveyor’. Developing the predictive skills of climate models is seen to be the most direct way of extending the ability of society to mitigate for or adapt to 'global change' and is the main justification for continuing an intense observational effort in these waters. As records have lengthened, they have shown that important aspects of oceanic exchange through subarctic seas are currently at a long-term extreme state, providing further motivation for their study.

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Arabian Deserts : Nature, origin and evolution

This is the first comprehensive survey of all the deserts of Arabia, based largely on the author's 50 years of experience there. The text deals with every kind of desert in the region, from vast sand seas to clay pans and stony plains to volcanic flows.

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Approximation of Additive Convolution-Like Operators : Real C*-Algebra Approach

Various aspects of numerical analysis for equations arising in boundary integral equation methods have been the subject of several books published in the last 15 years [95, 102, 183, 196, 198]. Prominent examples include various classes of o- dimensional singular integral equations or equations related to single and double layer potentials. Usually, a mathematically rigorous foundation and error analysis for the approximate solution of such equations is by no means an easy task. One reason is the fact that boundary integral operators generally are neither integral operatorsof the formidentity plus compact operatornor identity plus an operator with a small norm. Consequently, existing standard theories for the numerical analysis of Fredholm integral equations of the second kind are not applicable. In the last 15 years it became clear that the Banach algebra technique is a powerful tool to analyze the stability problem for relevant approximation methods [102, 103, 183, 189]. The starting point for this approach is the observation that the ? stability problem is an invertibility problem in a certain BanachorC -algebra. As a rule, this algebra is very complicated – and one has to ?nd relevant subalgebras to use such tools as local principles and representation theory.

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Approaches to Metaphysics

Today, when systematic philosophy - and reason itself - are challenged both outside of and within philosophy, is it still possible to do metaphysics? This volume provides a broad perspective on contemporary approaches to the nature and the fundamental questions of metaphysics. Drawing on scholars from continental Europe, Asia, Canada, the United States, and Great Britain, and representing a variety of philosophical cultures and traditions, this volume surveys and extends work in metaphysics and its implications for broader philosophical concerns (e.g., in ethics and social philosophy, in mathematics and logic, and in epistemology). It also addresses such questions as the role of history and historicity in undertaking metaphysics, the nature of metaphysics, the priority of metaphysics over epistemology, and the challenges of empiricism and postmodernism.

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Approaches to Fundamental Physics : An Assessment of Current Theoretical Ideas

This book presents contributions on particle theory, quantum field theory, general relativity, quantum gravity, string theory and cosmology. These represent the outcome of numerous discussions, taking place among the authors over a period of several years, about the research landscape of present-day fundamental theoretical physics. Indeed, the resultant book documents their attempt, out of their respective and highly specialized scientific positions, to find a way of communicating about methods, achievements and promises of the different approaches which shape the development of this field. It is therefore also an attempt to elucidate the connections between these approaches, and present them not as disjoint ventures but rather as facets of a common quest for understanding. Readers interested in fundamental approaches of theoretical physics will find this book highly stimulating and enlightening.

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Apprehension and Argument : Ancient Theories of Starting Points for Knowledge

This book offers the first synoptic study of how the primary elements in knowledge structures were analysed in antiquity from Plato to late ancient commentaries, the main emphasis being on the Platonic-Aristotelian tradition. It argues that, in the Platonic-Aristotelian tradition, the question of starting points was treated from two distinct points of view: from the first perspective, as a question of how we acquire basic knowledge; and from the second perspective, as a question of the premises we may immediately accept in the line of argumentation. It was assumed that we acquire some general truths rather naturally and that these function as starting points for inquiry. In the Hellenistic period, an alternative approach was endorsed: the very possibility of knowledge became a central issue when sceptics began demanding that true claims should always be distinguishable from false ones.

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Applying fuzzy mathematics to formal models in comparative politics

This book explores the intersection of fuzzy mathematics and the spatial modeling of preferences in political science. This book develops single- and multidimensional models of fuzzy preference landscapes and characterizes the surprisingly high levels of stability that emerge from interactions between players operating.

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Applied scanning probe methods VI : Characterization

The scanning probe microscopy feld has been rapidly expanding. It is a demanding task to collect a timely overview of this feld with an emphasis on technical dev- opments and industrial applications. It became evident while editing Vols. I–IV that a large number of technical and applicational aspects are present and rapidly - veloping worldwide. Considering the success of Vols. I–IV and the fact that further colleagues from leading laboratories were ready to contribute their latest achie- ments, we decided to expand the series with articles touching felds not covered in the previous volumes. The response and support of our colleagues were excellent, making it possible to edit another three volumes of the series

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