Discrete Iterations
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Discrete Iterations
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Author : Francois Robert
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Discrete Iterations written by Francois Robert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
a c 9 h In presenting this monograph, I would like to indicate both its orientation as well as my personal reasons for being interested in discrete iterations (that is, iterations on a generally very large,jinite set). While working in numerical analysis I have been interested in two main aspects: - the algorithmic aspect: an iterative algorithm is a mathematical entity which behaves in a dynamic fashion. Even if it is started far from a solution, it will often tend to get closer and closer. - the mathematical aspect: this consists of a coherent and rigorous analy sis of convergence, with the aid of mathematical tools (these tools are mainly the use of norms for convergence proofs, the use of matrix algebra and so on). One may for example refer to the algorithmic and mathematical aspects of Newton's method in JRn as well as to the QR algorithm for eigenvalues of matrices. These two algorithms seem to me to be the most fascinating algorithms in numerical analysis, since both show a remarkable practical efficiency even though there exist relatively few global convergence results for them.
Iteration Theory And Its Functional Equations
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Author : Roman Liedl
language : en
Publisher: Springer
Release Date : 2006-11-14
Iteration Theory And Its Functional Equations written by Roman Liedl and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Applied Iterative Methods
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Author : Louis A. Hageman
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Applied Iterative Methods written by Louis A. Hageman and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
Applied Iterative Methods
Iterative Functional Equations
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Author : Marek Kuczma
language : en
Publisher: Cambridge University Press
Release Date : 1990-07-27
Iterative Functional Equations written by Marek Kuczma and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-07-27 with Mathematics categories.
A cohesive and comprehensive account of the modern theory of iterative functional equations. Many of the results included have appeared before only in research literature, making this an essential volume for all those working in functional equations and in such areas as dynamical systems and chaos, to which the theory is closely related. The authors introduce the reader to the theory and then explore the most recent developments and general results. Fundamental notions such as the existence and uniqueness of solutions to the equations are stressed throughout, as are applications of the theory to such areas as branching processes, differential equations, ergodic theory, functional analysis and geometry. Other topics covered include systems of linear and nonlinear equations of finite and infinite ORD various function classes, conjugate and commutable functions, linearization, iterative roots of functions, and special functional equations.
Disordered Systems And Biological Organization
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Author : E. Bienenstock
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Disordered Systems And Biological Organization written by E. Bienenstock and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
The NATO workshop on Disordered Systems and Biological Organization was attended, in march 1985, by 65 scientists representing a large variety of fields: Mathematics, Computer Science, Physics and Biology. It was the purpose of this interdisciplinary workshop to shed light on the conceptual connections existing between fields of research apparently as different as: automata theory, combinatorial optimization, spin glasses and modeling of biological systems, all of them concerned with the global organization of complex systems, locally interconnected. Common to many contributions to this volume is the underlying analogy between biological systems and spin glasses: they share the same properties of stability and diversity. This is the case for instance of primary sequences of biopo Iymers I ike proteins and nucleic acids considered as the result of mutation-selection processes [P. W. Anderson, 1983] or of evolving biological species [G. Weisbuch, 1984]. Some of the most striking aspects of our cognitive apparatus, involved In learning and recognttlon [J. Hopfield, 19821, can also be described in terms of stability and diversity in a suitable configuration space. These interpretations and preoccupations merge with those of theoretical biologists like S. Kauffman [1969] (genetic networks) and of mathematicians of automata theory: the dynamics of networks of automata can be interpreted in terms of organization of a system in multiple possible attractors. The present introduction outlInes the relationships between the contributions presented at the workshop and brIefly discusses each paper in its particular scientific context.
Handbook Of Industrial Organization
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Author : Richard Schmalensee
language : en
Publisher: Elsevier
Release Date : 1989
Handbook Of Industrial Organization written by Richard Schmalensee and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Business & Economics categories.
Annotation This is Vol 3 of the Handbook of Industrial Organization series (HIO). Vols 1 & 2 published simultaneously in 1989 under the editorship of Richard Schmalensee and Robert Willig. Many of the chapters in these successful volumes were widely cited and appeared on graduate reading lists, and some continue to appear even recently. Since the first volumes published, the field of industrial organization has continued to evolve. As the editors acknowledge in the Preface, these volumes had some gaps and this new volume aims to fill some of those gaps. The aim is to serve as a source, reference and teaching supplement for industrial organization, or industrial economics, the microeconomics field that focuses on business behavior and its implications for both market structures and processes, and for related public policies. The first two volumes of the HIO appeared at roughly the same time as Jean Tirole's book The Theory of Industrial Organization. Together they helped revolutionize the teaching of industrial organization, and provided a state-of-the-art summary. Tirole's book is concerned with the relevant theory, and several reviewers noted that the first two volumes of HIO contained much more discussion of the theoretical literature than of the empirical literature. In most respects, this imbalance was an accurate reflection of the field. Since then, the empirical literature has flourished, while the theoretical literature has continued to grow, and this new volume reflects that change of emphasis. *Part of the renown Handbooks in Economics series *Chapters are contributed by some of the leading experts in their fields. *A source, reference and teaching supplement for industrial organizations, or industrial economicists.
High Level Modeling And Synthesis Of Analog Integrated Systems
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Author : Ewout S. J. Martens
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-03
High Level Modeling And Synthesis Of Analog Integrated Systems written by Ewout S. J. Martens and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-03 with Technology & Engineering categories.
As the miniaturization of semiconductor technology continues, electronic s- tems on chips o?er a more extensive and more complex functionality with better performance, higher frequencies and less power consumption. Whereas digital designers can take full advantage of the availability of design auto- tiontoolstobuildhugesystems,thelackofsupportbycomputerprogramsfor di?erent abstraction levels makes analog design a time-consuming handcraft which limits the possibilities to implement large systems. Various approaches for?ndingoptimalvaluesfortheparametersofanalogcells,likeopamps,have been investigated since the mid-1980s, and they have made their entrance in commercial applications. However, a larger impact on the performance is - pected if tools are developed which operate on a higher abstraction level and consider multiple architectural choices to realize a particular functionality. In this book, the opportunities, conditions, problems, solutions and systematic methodologies for this new generation of analog CAD tools are examined. Theoutlineofthisbookisasfollows. Inthe?rstpart,thecharacteristicsof the analog design process are systematically analyzed and several approaches for automated analog synthesis are summarized. Comparison of their prop- ties with the requirements for high-level synthesis of analog and mixed-signal systems results in a new design paradigm: the high-level design ?ow based on generic behavior. This design approach involves a modeling strategy using generic behavioral models and a synthesis strategy leading to the exploration of a heterogeneous design space containing di?erent architectures. The modeling strategy is further elaborated in Part II.
Introduction To Quantitative Ecology
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Author : Timothy E. Essington
language : en
Publisher: Oxford University Press
Release Date : 2021-09-30
Introduction To Quantitative Ecology written by Timothy E. Essington and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-30 with Science categories.
Environmental science (ecology, conservation, and resource management) is an increasingly quantitative field. A well-trained ecologist now needs to evaluate evidence generated from complex quantitative methods, and to apply these methods in their own research. Yet the existing books and academic coursework are not adequately serving most of the potential audience - instead they cater to the specialists who wish to focus on either mathematical or statistical aspects, and overwhelmingly appeal to those who already have confidence in their quantitative skills. At the same time, many texts lack an explicit emphasis on the epistemology of quantitative techniques. That is, how do we gain understanding about the real world from models that are so vastly simplified? This accessible textbook introduces quantitative ecology in a manner that aims to confront these limitations and thereby appeal to a far wider audience. It presents material in an informal, approachable, and encouraging manner that welcomes readers with any degree of confidence and prior training. It covers foundational topics in both mathematical and statistical ecology before describing how to implement these concepts to choose, use, and analyse models, providing guidance and worked examples in both spreadsheet format and R. The emphasis throughout is on the skilful interpretation of models to answer questions about the natural world. Introduction to Quantitative Ecology is suitable for advanced undergraduate students and incoming graduate students, seeking to strengthen their understanding of quantitative methods and to apply them successfully to real world ecology, conservation, and resource management scenarios.
Automata Networks In Computer Science
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Author : Françoise Fogelman Soulié
language : en
Publisher: Manchester University Press
Release Date : 1987
Automata Networks In Computer Science written by Françoise Fogelman Soulié and has been published by Manchester University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Computers categories.
Physical Theory In Biology Foundations And Explorations
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Author : Charles J Lumsden
language : en
Publisher: World Scientific
Release Date : 1997-04-19
Physical Theory In Biology Foundations And Explorations written by Charles J Lumsden and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-04-19 with Science categories.
What is the physics of life and why does it matter? The essays in this book probe this question, celebrating modern biology's vibrant dialog with theoretical physics — a scientific adventure in which biological understanding is enriched by physical theory without losing its own inherent traditions and perspectives. The book explores organic complexity and self-organization through research applications to embryology, cell biology, behavioral neuroscience, and evolution. The essays will excite the interest of physics students in thinking about biology's “grand challenges”, in part by means of self-contained introductions to theoretical computer science, symmetry methods in bifurcation theory, and evolutionary games. Seasoned investigators in both the physical and life sciences will also find challenging ideas and applications presented in this volume.This is a Print On Demand title. We no longer stock the original but will recreate a copy for you. While all efforts are made to ensure that quality is the same as the original, there may be differences in some areas of the design and packaging.