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Author : Andrzej Blikle
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.F/5 ( download)
Download or read book Algorithmically Definable Functions written by Andrzej Blikle and published by . This book was released on 1971 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-Michel Muller
Publisher : Springer Science & Business Media
ISBN 13 : 1475726465
Total Pages : 211 pages
Book Rating : 4.4/5 (757 download)
Download or read book Elementary Functions: written by Jean-Michel Muller and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second Edition of successful, well-reviewed Birkhauser book, which sold 866 copies in North America Provides an up-to-date presentation by including new results, examples, and problems throughout the text The second edition adds a chapter on multiple-precision arithmetic, and new algorithms invented since 1997
Author : Michael Förster
Publisher : Springer
ISBN 13 : 365807597X
Total Pages : 411 pages
Book Rating : 4.6/5 (58 download)
Download or read book Algorithmic Differentiation of Pragma-Defined Parallel Regions written by Michael Förster and published by Springer. This book was released on 2014-10-09 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical programs often use parallel programming techniques such as OpenMP to compute the program's output values as efficient as possible. In addition, derivative values of these output values with respect to certain input values play a crucial role. To achieve code that computes not only the output values simultaneously but also the derivative values, this work introduces several source-to-source transformation rules. These rules are based on a technique called algorithmic differentiation. The main focus of this work lies on the important reverse mode of algorithmic differentiation. The inherent data-flow reversal of the reverse mode must be handled properly during the transformation. The first part of the work examines the transformations in a very general way since pragma-based parallel regions occur in many different kinds such as OpenMP, OpenACC, and Intel Phi. The second part describes the transformation rules of the most important OpenMP constructs.
Author : Karl Svozil
Publisher : World Scientific
ISBN 13 : 9814522929
Total Pages : 310 pages
Book Rating : 4.8/5 (145 download)
Download or read book Randomness And Undecidability In Physics written by Karl Svozil and published by World Scientific. This book was released on 1993-10-05 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent findings in the computer sciences, discrete mathematics, formal logics and metamathematics have opened up a royal road for the investigation of undecidability and randomness in physics. A translation of these formal concepts yields a fresh look into diverse features of physical modelling such as quantum complementarity and the measurement problem, but also stipulates questions related to the necessity of the assumption of continua.Conversely, any computer may be perceived as a physical system: not only in the immediate sense of the physical properties of its hardware. Computers are a medium to virtual realities. The foreseeable importance of such virtual realities stimulates the investigation of an “inner description”, a “virtual physics” of these universes of computation. Indeed, one may consider our own universe as just one particular realisation of an enormous number of virtual realities, most of them awaiting discovery.One motive of this book is the recognition that what is often referred to as “randomness” in physics might actually be a signature of undecidability for systems whose evolution is computable on a step-by-step basis. To give a flavour of the type of questions envisaged: Consider an arbitrary algorithmic system which is computable on a step-by-step basis. Then it is in general impossible to specify a second algorithmic procedure, including itself, which, by experimental input-output analysis, is capable of finding the deterministic law of the first system. But even if such a law is specified beforehand, it is in general impossible to predict the system behaviour in the “distant future”. In other words: no “speedup” or “computational shortcut” is available. In this approach, classical paradoxes can be formally translated into no-go theorems concerning intrinsic physical perception.It is suggested that complementarity can be modelled by experiments on finite automata, where measurements of one observable of the automaton destroys the possibility to measure another observable of the same automaton and it vice versa.Besides undecidability, a great part of the book is dedicated to a formal definition of randomness and entropy measures based on algorithmic information theory.
Author : A. Ershov
Publisher : Springer Science & Business Media
ISBN 13 : 9783540080657
Total Pages : 364 pages
Book Rating : 4.0/5 (86 download)
Download or read book Methods of Algorithmic Language Implementation written by A. Ershov and published by Springer Science & Business Media. This book was released on 1977-02 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by numerous experts
Author : János Pach
Publisher : American Mathematical Soc.
ISBN 13 : 0821846914
Total Pages : 251 pages
Book Rating : 4.8/5 (218 download)
Download or read book Combinatorial Geometry and Its Algorithmic Applications written by János Pach and published by American Mathematical Soc.. This book was released on 2009 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on a lecture series given by the authors at a satellite meeting of the 2006 International Congress of Mathematicians and on many articles written by them and their collaborators, this volume provides a comprehensive up-to-date survey of several core areas of combinatorial geometry. It describes the beginnings of the subject, going back to the nineteenth century (if not to Euclid), and explains why counting incidences and estimating the combinatorial complexity of various arrangements of geometric objects became the theoretical backbone of computational geometry in the 1980s and 1990s. The combinatorial techniques outlined in this book have found applications in many areas of computer science from graph drawing through hidden surface removal and motion planning to frequency allocation in cellular networks. "Combinatorial Geometry and Its Algorithmic Applications" is intended as a source book for professional mathematicians and computer scientists as well as for graduate students interested in combinatorics and geometry. Most chapters start with an attractive, simply formulated, but often difficult and only partially answered mathematical question, and describes the most efficient techniques developed for its solution. The text includes many challenging open problems, figures, and an extensive bibliography."--BOOK JACKET.
Author : Yves Crama
Publisher :
ISBN 13 : 9781139076845
Total Pages : 711 pages
Book Rating : 4.0/5 (768 download)
Download or read book Boolean Functions: Theory, Algorithms, and Applications written by Yves Crama and published by . This book was released on 2014-05-14 with total page 711 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides the first comprehensive, unified presentation of the structural, algorithmic and applied aspects of the theory of Boolean functions.
Author : Ming Li
Publisher : Springer Science & Business Media
ISBN 13 : 9783540635772
Total Pages : 484 pages
Book Rating : 4.6/5 (357 download)
Download or read book Algorithmic Learning Theory written by Ming Li and published by Springer Science & Business Media. This book was released on 1997-09-17 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the strictly refereed post-workshop proceedings of the Second International Workshop on Database Issues for Data Visualization, held in conjunction with the IEEE Visualization '95 conference in Atlanta, Georgia, in October 1995. Besides 13 revised full papers, the book presents three workshop subgroup reports summarizing the contents of the book as well as the state-of-the-art in the areas of scientific data modelling, supporting interactive database exploration, and visualization related metadata. The volume provides a snapshop of current research in the area and surveys the problems that must be addressed now and in the future towards the integration of database management systems and data visualization.
Author : Johanna N. Y. Franklin
Publisher : Cambridge University Press
ISBN 13 : 1108478980
Total Pages : 370 pages
Book Rating : 4.1/5 (84 download)
Download or read book Algorithmic Randomness written by Johanna N. Y. Franklin and published by Cambridge University Press. This book was released on 2020-05-07 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys on recent developments in the theory of algorithmic randomness and its interactions with other areas of mathematics.
Author : A. Shen
Publisher : American Mathematical Society
ISBN 13 : 1470470640
Total Pages : 511 pages
Book Rating : 4.4/5 (74 download)
Download or read book Kolmogorov Complexity and Algorithmic Randomness written by A. Shen and published by American Mathematical Society. This book was released on 2022-05-18 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looking at a sequence of zeros and ones, we often feel that it is not random, that is, it is not plausible as an outcome of fair coin tossing. Why? The answer is provided by algorithmic information theory: because the sequence is compressible, that is, it has small complexity or, equivalently, can be produced by a short program. This idea, going back to Solomonoff, Kolmogorov, Chaitin, Levin, and others, is now the starting point of algorithmic information theory. The first part of this book is a textbook-style exposition of the basic notions of complexity and randomness; the second part covers some recent work done by participants of the “Kolmogorov seminar” in Moscow (started by Kolmogorov himself in the 1980s) and their colleagues. This book contains numerous exercises (embedded in the text) that will help readers to grasp the material.
Author : David L. Dowe
Publisher : Springer
ISBN 13 : 3642449581
Total Pages : 457 pages
Book Rating : 4.6/5 (424 download)
Download or read book Algorithmic Probability and Friends. Bayesian Prediction and Artificial Intelligence written by David L. Dowe and published by Springer. This book was released on 2013-10-22 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic probability and friends: Proceedings of the Ray Solomonoff 85th memorial conference is a collection of original work and surveys. The Solomonoff 85th memorial conference was held at Monash University's Clayton campus in Melbourne, Australia as a tribute to pioneer, Ray Solomonoff (1926-2009), honouring his various pioneering works - most particularly, his revolutionary insight in the early 1960s that the universality of Universal Turing Machines (UTMs) could be used for universal Bayesian prediction and artificial intelligence (machine learning). This work continues to increasingly influence and under-pin statistics, econometrics, machine learning, data mining, inductive inference, search algorithms, data compression, theories of (general) intelligence and philosophy of science - and applications of these areas. Ray not only envisioned this as the path to genuine artificial intelligence, but also, still in the 1960s, anticipated stages of progress in machine intelligence which would ultimately lead to machines surpassing human intelligence. Ray warned of the need to anticipate and discuss the potential consequences - and dangers - sooner rather than later. Possibly foremostly, Ray Solomonoff was a fine, happy, frugal and adventurous human being of gentle resolve who managed to fund himself while electing to conduct so much of his paradigm-changing research outside of the university system. The volume contains 35 papers pertaining to the abovementioned topics in tribute to Ray Solomonoff and his legacy.
Author : Arun K. Sharma
Publisher : Springer Science & Business Media
ISBN 13 : 9783540618638
Total Pages : 362 pages
Book Rating : 4.6/5 (186 download)
Download or read book Algorithmic Learning Theory written by Arun K. Sharma and published by Springer Science & Business Media. This book was released on 1996-10-09 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Workshop on Algorithmic Learning Theory, ALT '96, held in Sydney, Australia, in October 1996. The 16 revised full papers presented were selected from 41 submissions; also included are eight short papers as well as four full length invited contributions by Ross Quinlan, Takeshi Shinohara, Leslie Valiant, and Paul Vitanyi, and an introduction by the volume editors. The book covers all areas related to algorithmic learning theory, ranging from theoretical foundations of machine learning to applications in several areas.
Author : Gebhard Böckle
Publisher : Springer
ISBN 13 : 3319705660
Total Pages : 753 pages
Book Rating : 4.3/5 (197 download)
Download or read book Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory written by Gebhard Böckle and published by Springer. This book was released on 2018-03-22 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to create powerful new computational tools that transcend the boundaries of the individual disciplines involved. The book covers a broad range of topics addressing the design and theoretical foundations, implementation and the successful application of algebraic algorithms in order to solve mathematical research problems. It offers a valuable resource for all researchers, from graduate students through established experts, who are interested in the computational aspects of algebra, geometry, and/or number theory.
Author : Klaus P. Jantke
Publisher : Springer Science & Business Media
ISBN 13 : 9783540573708
Total Pages : 444 pages
Book Rating : 4.5/5 (737 download)
Download or read book Algorithmic Learning Theory written by Klaus P. Jantke and published by Springer Science & Business Media. This book was released on 1993-10-20 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This volume contains the papers that were presented at theThird Workshop onAlgorithmic Learning Theory, held in Tokyoin October 1992. In addition to 3invited papers, the volumecontains 19 papers accepted for presentation, selected from29 submitted extended abstracts. The ALT workshops have beenheld annually since 1990 and are organized and sponsored bythe Japanese Society for Artificial Intelligence. The mainobjective of these workshops is to provide an open forum fordiscussions and exchanges of ideasbetween researchers fromvarious backgrounds in this emerging, interdisciplinaryfield of learning theory. The volume is organized into partson learning via query, neural networks, inductive inference, analogical reasoning, and approximate learning.
Author : Veronika Pillwein
Publisher : Springer Nature
ISBN 13 : 3030445593
Total Pages : 415 pages
Book Rating : 4.0/5 (34 download)
Download or read book Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra written by Veronika Pillwein and published by Springer Nature. This book was released on 2020-09-28 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is centered around the research areas of combinatorics, special functions, and computer algebra. What these research fields share is that many of their outstanding results do not only have applications in Mathematics, but also other disciplines, such as computer science, physics, chemistry, etc. A particular charm of these areas is how they interact and influence one another. For instance, combinatorial or special functions' techniques have motivated the development of new symbolic algorithms. In particular, first proofs of challenging problems in combinatorics and special functions were derived by making essential use of computer algebra. This book addresses these interdisciplinary aspects. Algorithmic aspects are emphasized and the corresponding software packages for concrete problem solving are introduced. Readers will range from graduate students, researchers to practitioners who are interested in solving concrete problems within mathematics and other research disciplines.
Author : Stefan Hougardy
Publisher : Springer
ISBN 13 : 3319395580
Total Pages : 167 pages
Book Rating : 4.3/5 (193 download)
Download or read book Algorithmic Mathematics written by Stefan Hougardy and published by Springer. This book was released on 2016-10-14 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms play an increasingly important role in nearly all fields of mathematics. This book allows readers to develop basic mathematical abilities, in particular those concerning the design and analysis of algorithms as well as their implementation. It presents not only fundamental algorithms like the sieve of Eratosthenes, the Euclidean algorithm, sorting algorithms, algorithms on graphs, and Gaussian elimination, but also discusses elementary data structures, basic graph theory, and numerical questions. In addition, it provides an introduction to programming and demonstrates in detail how to implement algorithms in C++. This textbook is suitable for students who are new to the subject and covers a basic mathematical lecture course, complementing traditional courses on analysis and linear algebra. Both authors have given this "Algorithmic Mathematics" course at the University of Bonn several times in recent years.
Author : Grażyna Mirkowska-Salwicka
Publisher : Springer Science & Business Media
ISBN 13 : 9789027719287
Total Pages : 394 pages
Book Rating : 4.7/5 (192 download)
Download or read book Algorithmic Logic written by Grażyna Mirkowska-Salwicka and published by Springer Science & Business Media. This book was released on 1987-11-30 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:
