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Author: Mark Walker Publisher: Routledge ISBN: 113646669X Category : History Languages : en Pages : 288
Book Description
Does science work best in a democracy? Were 'Soviet' or 'Nazi' science fundamentally different from science in the USA? These questions have been passionately debated in the recent past. Particular developments in science took place under particular political regimes, but they may or may not have been directly determined by them. Science and Ideology brings together a number of comparative case studies to examine the relationship between science and the dominant ideology of a state. Cybernetics in the USA is compared to France and the Soviet Union. Postwar Allied science policy in occupied Germany is juxtaposed to that in Japan. The essays are narrowly focussed, yet cover a wide range of countries and ideologies. The collection provides a unique comparative history of scientific policies and practices in the 20th century.
Author: Mark Walker Publisher: Routledge ISBN: 113646669X Category : History Languages : en Pages : 288
Book Description
Does science work best in a democracy? Were 'Soviet' or 'Nazi' science fundamentally different from science in the USA? These questions have been passionately debated in the recent past. Particular developments in science took place under particular political regimes, but they may or may not have been directly determined by them. Science and Ideology brings together a number of comparative case studies to examine the relationship between science and the dominant ideology of a state. Cybernetics in the USA is compared to France and the Soviet Union. Postwar Allied science policy in occupied Germany is juxtaposed to that in Japan. The essays are narrowly focussed, yet cover a wide range of countries and ideologies. The collection provides a unique comparative history of scientific policies and practices in the 20th century.
Author: Imre Csiszár Publisher: Cambridge University Press ISBN: 113949998X Category : Technology & Engineering Languages : en Pages : 522
Book Description
Csiszár and Körner's book is widely regarded as a classic in the field of information theory, providing deep insights and expert treatment of the key theoretical issues. It includes in-depth coverage of the mathematics of reliable information transmission, both in two-terminal and multi-terminal network scenarios. Updated and considerably expanded, this new edition presents unique discussions of information theoretic secrecy and of zero-error information theory, including the deep connections of the latter with extremal combinatorics. The presentations of all core subjects are self contained, even the advanced topics, which helps readers to understand the important connections between seemingly different problems. Finally, 320 end-of-chapter problems, together with helpful hints for solving them, allow readers to develop a full command of the mathematical techniques. It is an ideal resource for graduate students and researchers in electrical and electronic engineering, computer science and applied mathematics.
Author: Frank Nielsen Publisher: Springer Nature ISBN: 3031382714 Category : Computers Languages : en Pages : 641
Book Description
This book constitutes the proceedings of the 6th International Conference on Geometric Science of Information, GSI 2023, held in St. Malo, France, during August 30-September 1, 2023. The 125 full papers presented in this volume were carefully reviewed and selected from 161 submissions. They cover all the main topics and highlights in the domain of geometric science of information, including information geometry manifolds of structured data/information and their advanced applications. The papers are organized in the following topics: geometry and machine learning; divergences and computational information geometry; statistics, topology and shape spaces; geometry and mechanics; geometry, learning dynamics and thermodynamics; quantum information geometry; geometry and biological structures; geometry and applications.
Author: Acze?l Publisher: Academic Press ISBN: 0080956246 Category : Computers Languages : en Pages : 248
Book Description
This book deals with measures of information (the most important ones being called entropies), their properties, and, reciprocally, with questions concerning which of these properties determine known measures of information, and which are the most general formulas satisfying reasonable requirements on practical measures of information. Thisis the first book investigating this subject in depth.
Author: Constantino Tsallis Publisher: Springer Science & Business Media ISBN: 0387853596 Category : Science Languages : en Pages : 389
Book Description
Metaphors, generalizations and unifications are natural and desirable ingredients of the evolution of scientific theories and concepts. Physics, in particular, obviously walks along these paths since its very beginning. This book focuses on nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs (BG) statistical mechanics, one of the greatest monuments of contemporary physics. Conceived more than 130 years ago by Maxwell, Boltzmann and Gibbs, the BG theory exhibits uncountable – some of them impressive – successes in physics, chemistry, mathematics, and computational sciences, to name a few. Presently, more than two thousand publications, by over 1800 scientists around the world, have been dedicated to the nonextensive generalization. Remarkable applications have emerged, and its mathematical grounding is by now relatively well established. A pedagogical introduction to its concepts – nonlinear dynamics, extensivity of the nonadditive entropy, global correlations, generalization of the standard CLT’s, among others – is presented in this book as well as a selection of paradigmatic applications in various sciences together with diversified experimental verifications of some of its predictions. This is the first pedagogical book on the subject, written by the proponent of the theory Presents many applications to interdisciplinary complex phenomena in virtually all sciences, ranging from physics to medicine, from economics to biology, through signal and image processing and others Offers a detailed derivation of results, illustrations and for the first time detailed presentation of Nonextensive Statistical Mechanics
Author: B. Forte Publisher: Springer Science & Business Media ISBN: 3642110045 Category : Mathematics Languages : en Pages : 433
Book Description
J. Aczél: Some applications of functional equations and inequalities to information measures.- J.A. Baker: Functional equations in vector space, part II.- I Fenyo: Sur les équations distributionnelles.- B. Forte: Applications of functional equations and inequalities to information theory.- S. Golab: Sur l’équation fonctionnelle des brigade.- E. Hille: Mean-values and functional equations.- J. Kampé de Feriet: Applications of functional equations and inequalities to information theory. Measure of information by a set of observers: a functional equation.- M. Kuczma: Convex functions.- S. Kurepa: Functional equations on vector spaces.- E. Lukacs: Inequalities and functional equations in probability theory.- M.A. McKiernan: Difference and mean-value type functional equations.- T.S. Motzkin: Solutions of differential and functional inequalities.- C.T. Ng: Uniqueness theorems in the theory of functional equations and related homotopy.- A.M. Ostrowski: Integral inequalities.- H. Schwerdtfeger: Remark on an inequality for monotonic functions.
Author: Rudolf Ahlswede Publisher: Springer Nature ISBN: 3030650723 Category : Mathematics Languages : en Pages : 720
Book Description
The sixth volume of Rudolf Ahlswede's lectures on Information Theory is focused on Identification Theory. In contrast to Shannon's classical coding scheme for the transmission of a message over a noisy channel, in the theory of identification the decoder is not really interested in what the received message is, but only in deciding whether a message, which is of special interest to him, has been sent or not. There are also algorithmic problems where it is not necessary to calculate the solution, but only to check whether a certain given answer is correct. Depending on the problem, this answer might be much easier to give than finding the solution. ``Easier'' in this context means using fewer resources like channel usage, computing time or storage space. Ahlswede and Dueck's main result was that, in contrast to transmission problems, where the possible code sizes grow exponentially fast with block length, the size of identification codes will grow doubly exponentially fast. The theory of identification has now developed into a sophisticated mathematical discipline with many branches and facets, forming part of the Post Shannon theory in which Ahlswede was one of the leading experts. New discoveries in this theory are motivated both by concrete engineering problems and by explorations of the inherent properties of the mathematical structures. Rudolf Ahlswede wrote: It seems that the whole body of present day Information Theory will undergo serious revisions and some dramatic expansions. In this book we will open several directions of future research and start the mathematical description of communication models in great generality. For some specific problems we provide solutions or ideas for their solutions. The lectures presented in this work, which consists of 10 volumes, are suitable for graduate students in Mathematics, and also for those working in Theoretical Computer Science, Physics, and Electrical Engineering with a background in basic Mathematics. The lectures can be used as the basis for courses or to supplement courses in many ways. Ph.D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find questions which form the basis of entire research programs. The book also contains an afterword by Gunter Dueck.
Author: Martin Aigner Publisher: Springer Science & Business Media ISBN: 3642591019 Category : Mathematics Languages : en Pages : 493
Book Description
This book offers a well-organized, easy-to-follow introduction to combinatorial theory, with examples, notes and exercises. ". . . a very good introduction to combinatorics. This book can warmly be recommended first of all to students interested in combinatorics." Publicationes Mathematicae Debrecen
Author: Solomon Kullback Publisher: Courier Corporation ISBN: 0486142043 Category : Mathematics Languages : en Pages : 436
Book Description
Highly useful text studies logarithmic measures of information and their application to testing statistical hypotheses. Includes numerous worked examples and problems. References. Glossary. Appendix. 1968 2nd, revised edition.
Author: Mark Walker
Author: Mark Walker
Author: Imre Csiszár
Author: Frank Nielsen
Author: Acze?l
Author: Constantino Tsallis
Author: B. Forte
Author: Rudolf Ahlswede
Author: Martin Aigner
Author: Arne Dür
Author: Solomon Kullback