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SPIRES-BOOKS: FIND KEYWORD CODING THEORY *END*INIT* use /tmp/qspiwww.webspi1/21289.12 QRY 131.225.70.96 . find keyword coding theory ( in books using www Cover
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Call number:9783662497258:ONLINE Show nearby items on shelf
Title:Quantum Information Theory Mathematical Foundation
Author(s): Masahito Hayashi
Date:2017
Edition:2nd ed. 2017
Size:1 online resource (XLIII, 636 p. 24 illus., 1 illus. in color p.)
Contents:Invitation to Quantum Information Theory -- History of Quantum Information Theory -- The Structure of this Text -- Mathematical Formulation of Quantum Systems -- Information Quantities and Parameter Estimation in Classical Systems --
Quantum Hypothesis Testing and Discrimination of Quantum States -- Classical-Quantum Channel Coding (Message Transmission) -- State Evolution and Trace-Preserving Completely Positive Maps -- Quantum Information Geometry and Quantum
Estimation -- Quantum Measurements and State Reduction -- Entanglement and Locality Restrictions -- Analysis of Quantum Communication Protocols
ISBN:9783662497258
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Data structures (Computer science) , Information theory , Quantum computers , Spintronics , Physics , Quantum Information Technology, Spintronics , Quantum Computing , Mathematical Methods in Physics , Data Structures, Cryptology and Information Theory , Information and Communication, Circuits
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Call number:9783319434766:ONLINE Show nearby items on shelf
Title:Discrete Probability Models and Methods Probability on Graphs and Trees, Markov Chains and Random Fields, Entropy and Coding
Author(s): Pierre Brémaud
Date:2017
Size:1 online resource (XIV, 559 p. 92 illus p.)
Contents:Introduction -- 1.Events and probability -- 2.Random variables -- 3.Bounds and inequalities -- 4.Almost-sure convergence -- 5.Coupling and the variation distance -- 6.The probabilistic method -- 7.Codes and trees -- 8.Markov chains --
9.Branching trees -- 10.Markov fields on graphs -- 11.Random graphs -- 12.Recurrence of Markov chains -- 13.Random walks on graphs -- 14.Asymptotic behaviour of Markov chains -- 15.Monte Carlo sampling -- 16. Convergence rates --
Appendix -- Bibliography
ISBN:9783319434766
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Computer communication systems , Coding theory , Mathematical statistics , Probabilities , Graph theory , Mathematics , Probability Theory and Stochastic Processes , Probability and Statistics in Computer Science , Graph Theory , Coding and Information Theory , Computer Communication Networks
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Call number:9780750672917:ONLINE Show nearby items on shelf
Title:Reference data for engineers: radio, electronics, computer, and communications.
Author(s): M. E. Van Valkenburg (ed.)
Wendy Middleton (ed.)
Date:2002
Edition:9th ed.
Publisher:ScienceDirect
Size:1 online resource
Contents:Radio frequency spectrum management and time frequency standards -- International telephony recommendations -- Units, constants, and conversion factors -- Properties of materials -- Components or parts -- Fundamentals of networks -- Fourier waveform analysis -- Filters, simple bandpass design -- Filters, modern-network-theory design -- Active filter design -- Attenuators -- Measurements and analysis -- Magnetic-core transformers and reactors -- Power electronics -- rectifiers, filters, and power sup plies -- Feedback control systems -- Electron tubes -- Power grid-tube circuits -- Semiconductors and transistors -- Transistor circuits -- Integrated circuits -- Optoelectronics -- Optical communications -- Analog communications -- Digital communications -- Information theory and coding -- Computer communications networks -- Satellite and space communications -- Discrete-time signal processing -- Transmission lines -- Waveguides and resonators -- Scattering matrices -- Antennas -- Electromagnetic-wave pr opagation -- Radio noise and interference -- Broadcasting, cable television, and recording system standards -- Radar -- Radio navigation systems -- Common carrier transmission -- Switching networks and traffic concepts -- Electroacoustics -- Lasers -- Com puter organization and programming -- Logic design -- Probability and statistics -- Reliability and life testing -- Cellular telecommunications systems -- Mathematical equations -- Mathematical tables -- Miscellaneous data.
ISBN:9780750672917
Series:eBooks
Series:ScienceDirect
Keywords: Electronics. , Computer engineering. , Telecommunication.
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Call number:9780511809187:ONLINE Show nearby items on shelf
Title:Introduction to the modern theory of dynamical systems [electronic resource]
Author(s): Anatole Katok
Boris Hasselblatt
Date:1995
Publisher:New York: Cambridge University Press
Size:1 online resource (802 p.)
Note:unlimited access
Contents:pt. 1. Examples and fundamental concepts. 1. First examples. 1. Maps with stable asymptotic behavior. 2. Linear maps. 3. Rotations of the circle. 4. Translations on the torus. 5. Linear flow on the torus and completely integrable systems. 6. Gradien t flows. 7. Expanding maps. 8. Hyperbolic toral automorphisms. 9. Symbolic dynamical systems. 2. Equivalence, classification, and invariants. 1. Smooth conjugacy and moduli for maps. 2. Smooth conjugacy and time change for flows. 3. Topological conjugacy, factors, and structural stability. 4. Topological classification of expanding maps on a circle. 5. Coding, horseshoes, and Markov partitions. 6. Stability of hyperbolic toral automorphisms. 7. The fast-converging iteration method (Newton method) for the conjugacy problem. 8. The Poincare-Siegel Theorem. 9. Cocycles and cohomological equations. 3. Principal classes of asymptotic topological invariants. 1. Growth of orbits. 2. Examples of calculation of topological entropy.
ISBN:9780521341875
Series:eBooks
Series:Cambridge Books Online
Keywords: Differentiable dynamical systems.
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Call number:190520924X:ONLINE Show nearby items on shelf
Title:Channel Coding in Communication Networks: From Theory to Turbocodes
Author(s): Glavieux
Date:2007
Publisher:Wiley-ISTE
Size:1 online resource (419 p.)
ISBN:9781905209248
Series:eBooks
Series:Wiley Online Library
Series:Wiley 2016 package purchase
Keywords: Electrical & Electronics Engineering
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Call number:0471621870:ONLINE Show nearby items on shelf
Title:FOUNDATIONS OF CODING: THEORY AND APPLICATIONS OF ERROR CORRECTING CODES WITH AN INTRODUCTION TO CRY PTOGRAPHY AND INFORMATION THEORY
Author(s): Adamek
Date:1991
Publisher:Wiley-Interscience
Size:1 online resource (353 p.)
ISBN:9780471621874
Series:eBooks
Series:Wiley Online Library
Series:Wiley 2016 package purchase
Keywords: Mathematics
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Call number:0470688998:ONLINE Show nearby items on shelf
Title:Distributed Source Coding - Theory and Practice
Author(s): Wang
Date:2017
Publisher:Wiley
Size:1 online resource (385 p.)
ISBN:9780470688991
Series:eBooks
Series:Wiley Online Library
Series:Wiley 2016 package purchase
Keywords: Electrical & Electronics Engineering
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Call number:0470028610:ONLINE Show nearby items on shelf
Title:Coding Theory - Algorithms, Architectures and Applications
Author(s): Neubauer
Date:2007
Publisher:Wiley-Interscience
Size:1 online resource (353 p.)
ISBN:9780470028612
Series:eBooks
Series:Wiley Online Library
Series:Wiley 2016 package purchase
Keywords: Electrical & Electronics Engineering
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Call number:SPRINGER-2016-9789401773034:ONLINE Show nearby items on shelf
Title:Quantum Theory: Informational Foundations and Foils
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (28 p.)
Note:10.1007/978-94-017-7303-4
Contents:Introduction -- Part 1 Foil Theories -- Optimal Information Transfer and Real-Vector-Space Quantum Theory (William K. Wootters) -- Almost quantum theory (Benjamin Schumacher, Michael D. Westmoreland) -- Quasi-quantization: classical
statistical theories with an epistemic restriction (Robert W. Spekkens).-Part 2 Axiomatizations -- Information-theoretic postulates for quantum theory (Markus P. Müller, Lluís Masanes) -- Quantum from principles (Giulio Chiribella,
Giacomo Mauro D'Ariano, Paolo Perinotti) -- Reconstructing Quantum Theory (Lucien Hardy) -- The classical limit of a physical theory and the dimensionality of space (Borivoje Dakić, Časlav Brukner) -- Some Negative Remarks on
Operational Approaches to Quantum Theory (Christopher A. Fuchs, Blake C. Stacey) -- Generalised Compositional Theories and Diagrammatic Reasoning (Bob Coecke, Ross Duncan, Aleks Kissinger, Quanlong Wang).Part 3 Categories and ordered
vectors spaces -- Post-Classical Probability Theory (Howard Barnum and Alexander Wilce) -- Information causality (Marcin Pawłowski, Valerio Scarani) -- Part 4 Quantum correlations -- Macroscopic locality (Miguel Navascués) -- Guess
your neighbour’s input: no quantum advantage but an advantage for quantum theory (Antonio Aćın, Mafalda L. Almeida, Remigiusz Augusiak, Nicolas Brunner) -- The completeness of quantum theory for predicting measurement outcomes (Roger
Colbeck, Renato Renner)
ISBN:9789401773034
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics: 181
Keywords: Physics , Coding theory , Mathematical physics , Quantum physics , Physics , Quantum Physics , History and Philosophical Foundations of Physics , Coding and Information Theory , Mathematical Physics
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Call number:SPRINGER-2016-9783319320854:ONLINE Show nearby items on shelf
Title:Geometry, Algebra and Applications: From Mechanics to Cryptography
Author(s):
Date:2016
Size:1 online resource (198 p.)
Note:10.1007/978-3-319-32085-4
Contents:1 W. Batat, P. M. Gadea, J. A. Oubiña, A survey on homogeneous structures on the classical hyperbolic spaces -- 2 A. Bejancu, On the (1 + 3) threading of spacetime -- 3 M. Brozos-Vázquez, E. Calviño-Louzao, E. García-Río, R. Vázquez-Lorenzo, L ocal structure of self-dual gradient Yamabe solitons -- 4 G. Calvaruso, The prescribed curvature problem in low dimension -- 5 M. Castrillón López, P. L. García, Euler-Poincare reduction by a subgroup of symmetries as an optimal control problem -- 6 M. Castrillón López, T. S. Ratiu, Morse families and Lagrangian submanifolds -- 7 R. Durán Díaz, L. Hernández Encinas, Special primes: properties and applications -- 8 F. Etayo, Rotation Minimizing vector fields and frames in Riemannian manifolds -- 9 R. Ferreiro Pérez, Local anomaly cancellation and equivariant cohomology of jet bundles -- 10 A. Fúster-Sabater, F. Montoya Vitini, Classes of nonlinear filters for stream ciphers -- 11 V. Gayoso Martínez, L. Hernández Encinas, A. Martín Muñoz,
Implementation of cryptographic algorithms for elliptic curves -- 12 R. Hernández-Amador, J. Monterde, J. Vallejo, Supermanifolds, symplectic geometry and curvature -- 13 A. Marcelo, F. Marcelo, C. Rodríguez, Prime submodules and symmetric algebra s -- 14 A. Martín del Rey, G. Rodríguez Sánchez, Application to cybersecurity of the stability theory of the systems of ordinary differential equations -- 15 I. V. Mykytyuk, On the non-triviality of the eight-form T4(w) on manifolds with a Spin(9)-stru cture -- 16 A. Peinado, Flaws in the application of Number Theory in Key Distribution Schemes for Multicast Networks -- 17 L. Pozo, E. Rosado, Einstein-Hilbert Lagrangian induced on the linear frame bundle
ISBN:9783319320854
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 161
Keywords: Mathematics , Data structures (Computer science) , Data encryption (Computer science) , Coding theory , Differential geometry , Mathematical physics , Mathematics , Mathematical Physics , Differential Geometry , Data Encryption , Data Structures , Coding and Information Theory
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Call number:SPRINGER-2014-9783319071039:ONLINE Show nearby items on shelf
Title:Integrated Devices for Quantum Information with Polarization Encoded Qubits [electronic resource]
Author(s): Linda Sansoni
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Quantum information science has found great experimental successby exploitingsingle photons. To date, however, the majority of quantum optical experiments use large-scale (bulk) optical elements bolted down to an opticalbench, an approach that ultima tely limits the complexity and stability of the quantum circuits required for quantum science and technology. The realization of complex optical schemes involving large numbers of elements requires theintroduction of waveguide technology to achieve the de sired scalability, stability and miniaturization of the device. This thesis reports on surprising findings in the field of integrated devices for quantum information. Here thepolarization of the photon is shown to offer a suitable degree of freedom for en coding quantum information in integrated systems. The most important results concern: the quantum interference of polarization entangled photons in anon-chip directional coupler the realization of a Controlled-NOT (CNOT) gate operating with polarization q ubits the realization of a quantum walk of bosons and fermions in an ordered optical lattice and the quantum simulation ofAnderson localization of bosons and fermions simulated by polarization entangled photons in a disordered quantum walk. The findings p resented in this thesis represent an important step towards the integration of a complete quantumphotonic experiment in a chip
Contents:Part I Quantum Information
Quantum Information with Photonics
Integrated Waveguide Technology
Part II Integrated Devices for Quantum Information
Polarization Dependent and Independent Devices
Quantum Computation: Integrated Quantum Gates for Polarization
Encoded Qubits
Process Characterization
Part III Quantum Simulation
Introduction to Quantum Simulation
Bosonic and Fermionic Quantum Walk
um Transport in Presence of Disorder
Conclusion
ISBN:9783319071039
Series:eBooks
Series:SpringerLink
Series:Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory
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Call number:SPRINGER-2013-9781461481188:ONLINE Show nearby items on shelf
Title:Lectures on Sphere Arrangements the Discrete Geometric Side [electronic resource]
Author(s): Kroly Bezdek
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This monograph gives a short introduction to parts of modern discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate andearly graduate stude nts, as well as interested researchers. It contains 30 open research problems ideal for graduate students and researchers in mathematics and computer science. Additionally, this book may be considered ideal for aone-semester advanced undergraduate or grad uate level course. The core of this book is based on three lectures given by the author at the Fields Institute during the thematic program on Discrete Geometry and Applications andcontains four basic topics. The first two deal with active areas that hav e been outstanding from the birth of discrete geometry, namely dense sphere packings and tilings. Sphere packings and tilings have a very strong connection tonumber theory, coding, groups, and mathematical programming. Extending the tradition of studying packings of spheres is the investigation of the monotonicity of volume under contractions of arbitrary arrangements of spheres. The thirdmajor topic can be found under the sections on ball-polyhedra that study the possibility of extending the theory of co nvex polytopes to the family of intersections of congruent balls. This section of the text is connected in many waysto the above-mentioned major topics as well as to some other important research areas such as that on coverings by planks (with close ties to geometric analysis). The fourth basic topic is discussed under covering balls by cylinders.
Note:Springer eBooks
Contents:1. Unit Sphere Packings
2. Proofs on Unit Sphere Packings
3. Contractions of Sphere Arrangements
4. Proofs on Contractions of Sphere Arrangements
5. Ball
Polyhedra and Spindle Convex Bodies
6. Proofs on Ball
Polyhedra and Spindle Convex Bodies
7. Coverings by Cylinders
8. Proofs on Coverings by Cylinders
9. Research Problems
an Overview
Glossary
References
ISBN:9781461481188
Series:e-books
Series:SpringerLink (Online service)
Series:Fields Institute Monographs, 1069-5273 : v32
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Discrete groups
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Call number:SPRINGER-2013-9781461470922:ONLINE Show nearby items on shelf
Title:Introduction to the Theory of Quantum Information Processing [electronic resource]
Author(s): Jnos A Bergou
Mark Hillery
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Introduction to the Theory of Quantum Information Processing provides the material for a one-semester graduate level course on quantum information theory and quantum computing for students who have had a one-year graduate coursein quantum mechanics. Many standard subjects are treated, such as density matrices, entanglement, quantum maps, quantum cryptography, and quantum codes. Also included are discussions of quantum machines and quantum walks. In addition,the book provides detailed treatments of se veral underlying fundamental principles of quantum theory, such as quantum measurements, the no-cloning and no-signaling theorems, and their consequences. Problems of various levels ofdifficulty supplement the text, with the most challenging problems brin ging the reader to the forefront of active research. This book provides a compact introduction to the fascinating and rapidly evolving interdisciplinary field ofquantum information theory, and it prepares the reader for doing active research in this area
Note:Springer eBooks
Contents:Preface
Introduction
The Density Matrix
Entanglement
Generalized Quantum Dynamics
Quantum Measurement Theory
Quantum Cryptography
Quantum Algorithms
Quantum Machines
Decoherence and Quantum Error Correction
Index
ISBN:9781461470922
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Coding theory , Quantum theory
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Call number:SPRINGER-2013-9781461470854:ONLINE Show nearby items on shelf
Title:Stochastic Networked Control Systems [electronic resource] : Stabilization and Optimization under Information Constraints
Author(s): Serdar Yksel
Tamer Baar
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Networked control systems are increasingly ubiquitous today, with applications ranging from vehicle communication and adaptive power grids to space exploration and economics. The optimal design of such systems presents majorchallenges, requiring tool s from various disciplines within applied mathematics such as decentralized control, stochastic control, information theory, and quantization. A thorough, self-contained book, Stochastic Networked ControlSystems: Stabilization and Optimization under Infor mation Constraints aims to connect these diverse disciplines with precision and rigor, while conveying design guidelines to controller architects. Unique in the literature, it lays acomprehensive theoretical foundation for the study of networked control s ystems, and introduces an array of concrete tools for work in the field. Salient features include: Characterization, comparison and optimaldesign of information structures in static and dynamic teams. Operational, structural and topological properties of information structures in optimal decision making, with a systematic program for generating optimal encoding andcontrol policies. The notion of signaling, and its utilization in stabilization and optimization of decentralized control systems. Presentati on of mathematical methods for stochastic stability of networkedcontrol systems using random-time, state-dependent drift conditions and martingale methods. Characterization and study of information channels leading to various forms of stochastic stabilit y such asstationarity, ergodicity, and quadratic stability and connections with information and quantization theories. Analysis of various classes of centralized and decentralized control systems. Jointly optimal design ofencoding and control policies ov er various information channels and under general optimization criteria, including a detailed coverage of linear-
Note:Springer eBooks
Contents:Introduction
Part I Information Structures in Networked Control
Networked Control Systems as Stochastic Team Decision Problems: A General Introduction
Characterization and Comparison of Information Structures
Topological Properties of Information Structures: Comparison, Convergence and Optimization
Part II Stabilization of Networked Control Systems
Coding for Control and Connections with Information Theory
Stochastic Stability and Drift Criteria for Markov Chains in Networked Control
Stochastic Stabilization over Noiseless Channels
Stochastic Stabilization over Noisy
ISBN:9781461470854
Series:e-books
Series:SpringerLink (Online service)
Series:Systems & Control: Foundations & Applications, 2324-9749
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer network architectures , Information systems , Systems theory , Mathematical optimization , Telecommunication
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Call number:SPRINGER-2013-9781461443438:ONLINE Show nearby items on shelf
Title:R for Business Analytics [electronic resource]
Author(s): A Ohri
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:R for Business Analytics looks at some of the most common tasks performed by business analysts and helps the user navigate the wealth of information in R and its 4000 packages. With this information the reader can select thepackages that can help pro cess the analytical tasks with minimum effort and maximum usefulness. The use of Graphical User Interfaces (GUI) is emphasized in this book to further cut downand bend the famous learning curve in learningR. This book is aimed to help you kick-start with analytics including chapters on data visualization, code examples on web analytics and social media analytics, clustering, regression models, text mining, data mining models andforecasting. The book tries to expose the reader to a breadth of business anal ytics topics without burying the user in needless depth. The included references and links allow the reader to pursue business analytics topics. Thisbook is aimed at business analysts with basic programming skills for using R for Business Analytics. Note the scope of the book is neither statistical theory nor graduate level research for statistics, but rather it is for businessanalytics practitioners. Business analytics (BA) refers to the field ofexploration and investigation of data generated by busines ses. Business Intelligence (BI) is the seamless dissemination of information through the organization,which primarily involves business metrics both past and current for the use of decision support in businesses. Data Mining (DM) is the process of discove ring new patterns from large data using algorithms and statistical methods. Todifferentiate between the three, BI is mostly current reports, BA is models to predict and strategizeand DM matches patterns in big data. The R statistical software is the faste st growing analytics platform in the world, and isestablished in both academia and corporations for robustness, reliability and accuracy.
Note:Springer eBooks
Contents:Why R
R Infrastructure
R Interfaces
Manipulating Data
Exploring Data
Building Regression Models
Data Mining using R
Clustering and Data Segmentation
Forecasting and Time
Series Models
Data Export and Output
Optimizing your R Coding
Additional Training Literature
Appendix
ISBN:9781461443438
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Mathematical statistics , Economics Statistics
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Call number:SPRINGER-2012-9783642290756:ONLINE Show nearby items on shelf
Title:Novelty, Information and Surprise [electronic resource]
Author(s): Gnther Palm
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book offers a new approach to information theory that is more general then the classical approach by Shannon. The classical definition of information is given for an alphabet of symbols or for a set of mutually exclusivepropositions (a partition of the probability space ) with corresponding probabilities adding up to 1. The new definition is given for an arbitrary cover of , i.e. for a set of possibly overlapping propositions. The generalizedinformation concept is called novelty and it is accompa nied by two new concepts derived from it, designated as information and surprise, which describe opposite versions of novelty, information being related more to classicalinformation theory and surprise being related more to the classical concept of statis tical significance. In the discussion of these three concepts and their interrelations several properties or classes of covers are defined, which turnout to be lattices. The book also presents applications of these new concepts, mostly in statistics and i n neuroscience
Note:Springer eBooks
Contents:Part I Surprise and Information of Descriptions: Prerequisites
Improbability and Novelty of Descriptions
Conditional Novelty and Information
Part II Coding and Information Transmission: On Guessing and Coding
Information Transmission
Part III Information Rate and Channel Capacity: Stationary Processes and Information Rate
Channel Capacity
Shannon's Theorem
Part IV Repertoires and Covers: Repertoires and Descriptions
Novelty, Information and Surprise of Repertoires
Conditioning, Mutual Information and Information Gain
Part V Information, Novelty and Surprise in
ISBN:9783642290756
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Artificial intelligence , Optical pattern recognition , Neurobiology , Algebra
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Call number:SPRINGER-2012-9781461443254:ONLINE Show nearby items on shelf
Title:Ordering Block Designs [electronic resource] : Gray Codes, Universal Cycles and Configuration Orderings
Author(s): Megan Dewar
Brett Stevens
Date:2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The study of combinatorial block designs is a vibrant area of combinatorial mathematics with connections to finite geometries, graph theory, coding theory and statistics.The practice of ordering combinatorial objects can traceits roots to bell ringin g which originated in 17th century England, but only emerged as a significant modern research area with the work of F. Gray and N. de Bruijn. These two fascinating areas of mathematics are brought together forthe first time in this book. It presents new t erminology and concepts which unify existing and recent results from a wide variety of sources. In order to provide a complete introduction and survey, the book begins with backgroundmaterial on combinatorial block designs and combinatorial orderings, inc luding Gray codes the most common and well-studied combinatorial ordering concept and universal cycles.The central chapter discusses how orderingconcepts can be applied to block designs, with definitions from existing (configuration orderings) and new ( Gray codes and universal cycles for designs) research.Two chapters are devoted to a survey of results in the field, includingillustrative proofs and examples.The book concludes with a discussion of connections to a broad range of applications in computer science, engineering and statistics. This book will appeal to both graduate students andresearchers.Each chapter contains worked examples and proofs, complete reference lists, exercises and a list of conjectures and open problems.Practitioners will also f ind the book appealing for its accessible, self-containedintroduction to the mathematics behind the applications
Note:Springer eBooks
Contents:Abstract
Acknowledgements
Introduction
Background
Ordering the Blocks of Designs
Gray Codes and Universal Cycles for Designs
New Results in Configuration Ordering
Conclusions and Future Work
Bibliography
Index
ISBN:9781461443254
Series:e-books
Series:SpringerLink (Online service)
Series:CMS Books in Mathematics, Ouvrages de mathmatiques de la SMC, 1613-5237
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computational complexity , Combinatorics
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Call number:SPRINGER-2012-9781461413479:ONLINE Show nearby items on shelf
Title:Selected Works of Terry Speed [electronic resource]
Author(s): Sandrine Dudoit
Date:2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
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Note:The purpose of this volume is to provide an overview of Terry Speeds contributions to statistics and beyond. Each of the fifteen chapters concerns a particular area of research and consists of a commentary by a subject-matterexpert and selection of r epresentative papers. The chapters, organized more or less chronologically in terms of Terrys career, encompass a wide variety of mathematical and statistical domains, along with their application to biologyand medicine. Accordingly, earlier chapters tend to be more theoretical, covering some algebra and probability theory, while later chapters concern more recent work in genetics and genomics. The chapters also span continents andgenerations, as they present research done over four decades, while crisscr ossing the globe. The commentaries provide insight into Terrys contributions to a particular area of research, by summarizing his work and describing itshistorical and scientific context, motivation, and impact. In addition to shedding light on Terrys sci entific achievements, the commentaries reveal endearing aspects of his personality, such as his intellectual curiosity, energy,humor, and generosity
Note:Springer eBooks
Contents:Algebra
Probability
Sufficiency
Analysis of Variance
Cumulants
Interaction Models
Asymptotics and Coding Theory
Applied Statistics and Exposition
History and Teaching Statistics
Genetic Recombination
Molecular Evolution
Statistical Genetics
DNA Sequencing
Biological Sequence Analysis
Microarray Data Analysis
ISBN:9781461413479
Series:e-books
Series:SpringerLink (Online service)
Series:Selected Works in Probability and Statistics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Mathematical statistics
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Call number:SPRINGER-2012-9780817649449:ONLINE Show nearby items on shelf
Title:Stochastic Models, Information Theory, and Lie Groups, Volume 2 [electronic resource] : Analytic Methods and Modern Applications
Author(s): Gregory S Chirikjian
Date:2012
Publisher:Boston : Birkhuser Boston
Size:1 online resource
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Note:The subjects of stochastic processes, information theory, and Lie groups are usually treated separately from each other. This unique two-volume set presents these topics in a unified setting, thereby building bridges betweenfields that are rarely stu died by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, andgroup-theoretic concepts in the modeling of physical p henomena. Volume 1 establishes the geometric and statistical foundations required to understand the fundamentals of continuous-time stochastic processes, differential geometry, andthe probabilistic foundations of information theory. Volume 2 delves deeper into relationships between these topics, including stochastic geometry, geometric aspects of the theory of communications and coding, multivariate statisticalanalysis, and error propagation on Lie groups. Key features and topics of Volume 2: * The author reviews the concept ofandfunctions and integration onLie groups with many concrete examples. * Extensive exercises andmotivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes on Lie groups or geometric aspects of probability and statistics. *Specific application areas are explored,including biomolecular statistical mechanics and information-driven motion in robotics. * The concrete presentation style makes it easy for readers to obtain numeri cal solutions for their own problems the emphasis is on how tocalculate quantities rather than how to prove theorems. * Modern problems at the interface of mechanics, control theory, and communications are handled in a unified framework and multiple direc tions for future research are explored.Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practition
Note:Springer eBooks
Contents:Lie Groups I: Introduction and Examples
Lie Groups II: Differential Geometric Properties
Lie Groups III: Integration, Convolution, and Fourier Analysis
Variational Calculus on Lie Groups
Statistical Mechanics and Ergodic Theory
Parts Entropy and the Principal Kinematic Formula
Estimation and Multivariate Analysis in R^n
Information, Communication, and Group Therapy
Algebraic and Geometric Coding Theory
Information Theory on Lie Groups
Stochastic Processes on Lie Groups
Locomotion and Perception as Communication over Principal Fiber Bundles and A Survey of Addi
ISBN:9780817649449
Series:e-books
Series:SpringerLink (Online service)
Series:Applied and Numerical Harmonic Analysis
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Topological Groups , Global differential geometry , Distribution (Probability theory) , Mathematical physics , Engineering mathematics
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Call number:SPRINGER-2011-9789400701717:ONLINE Show nearby items on shelf
Title:Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems [electronic resource]
Author(s): Masanori Ohya
I Volovich
Date:2011
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
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Note:This monograph provides a mathematical foundation to the theory of quantum information and computation, with applications to various open systems including nano and bio systems. It includes introductory material on algorithm,functional analysis, prob ability theory, information theory, quantum mechanics and quantum field theory. Apart from standard material on quantum information like quantum algorithm and teleportation, the authors discuss findings on thetheory of entropy in C*-dynamical systems, spa ce-time dependence of quantum entangled states, entangling operators, adaptive dynamics, relativistic quantum information, and a new paradigm for quantum computation beyond the usualquantum Turing machine. Also, some important applications of information theory to genetics and life sciences, as well as recent experimental and theoretical discoveries in quantum photosynthesis are described
Note:Springer eBooks
Contents:1 Introduction
2 Algorithms and Computation
3 Basics of Classical Probability
4 Basics of Infinite Dimensional Analysis
5 Basics of Quantum Mechanics
6 Fundamentals of Classical Information Theory
7 Fundamentals of Quantum Information
8 Locality and Entanglement
9 Quantum Capacity and Coding
10 Information Dynamics and Adaptive Dynamics
11 Mathematical Models of Quantum Computer
12 Quantum Algorithms I
13 Quantum Algorithms II
14 Quantum Algorithms III
15 Quantum Error Correction
16 Quantum Field Theory
Locality and Entanglement
17 Quantum Cry
ISBN:9789400701717
Series:e-books
Series:SpringerLink (Online service)
Series:Theoretical and Mathematical Physics, 1864-5879
Series:Physics and Astronomy (Springer-11651)
Keywords: Bioinformatics , Mathematics , Quantum theory
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Call number:SPRINGER-2011-9781461407973:ONLINE Show nearby items on shelf
Title:Graphs and Cubes [electronic resource]
Author(s): Sergei Ovchinnikov
Date:2011
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
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Note:This introductory text in graph theory focuses on partial cubes, which are graphs that are isometrically embeddable into hypercubes of an arbitrary dimension, as well as bipartite graphs, and cubical graphs. This branch of graphtheory has developed r apidly during the past three decades, producing exciting results and establishing links to other branches of mathematics. Currently, Graphs and Cubes is the only book available on the market that presents acomprehensive coverage of cubical graph and part ial cube theories. Many exercises, along with historical notes, are included at the end of every chapter, and readers are encouraged to explore the exercises fully, and use them as abasis for research projects. The prerequisites for this text include fam iliarity with basic mathematical concepts and methods on the level of undergraduate courses in discrete mathematics, linear algebra, group theory, and topologyof Euclidean spaces. While the book is intended for lower-division graduate students in mathemat ics, it will be of interest to a much wider audience because of their rich structural properties, partial cubes appear in theoreticalcomputer science, coding theory, genetics, and even the political and social sciences
Note:Springer eBooks
Contents:Preface
1 Graphs
2 Bipartite Graphs
3 Cubes
4 Cubical Graphs
5 Partial Cubes
6 Lattice Embeddings
7 Hyperplane Arrangements
8 Token Systems
Notation
References
Index
ISBN:9781461407973
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2011-9780817682569:ONLINE Show nearby items on shelf
Title:Selected Unsolved Problems in Coding Theory [electronic resource]
Author(s): David Joyner
Jon-Lark Kim
Date:2011
Edition:1
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Using an original mode of presentation and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems thatcontinue toexist in coding theory. A well-established and still highlyrelevant branch of mathemat ics, the theory of error-correcting codes is concerned with reliably transmitting data over a noisy channel. Despite its frequent use in a range of contextsthe first close-up pictures of the surfaceof Mars, taken by the NASA spacecraft Mariner 9, were tra nsmitted back to Earth using a ReedMuller codethe subject contains interesting problems that have to date resisted solution by some of the most prominent mathematicians ofrecent decades. Employing SAGEa free open-source mathematics software systemto illus trate their ideas, the authors begin by providing background on linear block codes and introducing some of the special families of codes exploredin later chapters, such as quadratic residue and algebraic-geometric codes. Also surveyed is the theory that i ntersects self-dual codes, lattices, and invariant theory, which leads to an intriguing analogy between the Duursma zetafunction and the zeta function attached to an algebraic curve over a finite field. The authors then examine a connectionbetween the the ory of block designs and the AssmusMattson theorem andscrutinize the knotty problem offinding a non-trivial estimate for the number of solutions over a finite field to a hyperelliptic polynomial equation of small degree, as well as the best asymptotic bou nds for a binary linear block code. Finally, some of the moremysterious aspects relating modular forms and algebraic-geometric codes are discussed. Selected Unsolved Problems in Coding Theory is intended for graduate students and researchers in algebraic coding theory, especially those who areinterested in finding current unsolved problems. Familiarity with concepts in algebra, number theory, and modular forms is assume
Note:Springer eBooks
Contents:Preface
Background
Codes and Lattices
Kittens and Blackjack
RH and Coding Theory
Hyperelliptic Curves and QR Codes
Codes from Modular Curves
Appendix
Bibliography
Index
ISBN:9780817682569
Series:e-books
Series:SpringerLink (Online service)
Series:Applied and Numerical Harmonic Analysis
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Coding theory , Geometry, algebraic , Number theory
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Call number:SPRINGER-2011-9780817649043:ONLINE Show nearby items on shelf
Title:Towards an Information Theory of Complex Networks [electronic resource] : Statistical Methods and Applications
Author(s): Matthias Dehmer
Frank Emmert-Streib
Alexander Mehler
Date:2011
Edition:1
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:For over a decade, complex networks have steadily grown as an important tool across abroad array of academic disciplines, with applications ranging from physics to social media.A tightly organizedcollectionofcarefully-selected papers on the subject, Towards an Information Theory of Complex Networks: Statistical Methods and Applications presents theoretical and practical results about information-theoretic and statisticalmodels of complex networks in the natural sciences and humanities.The book'smajor goal is to advocate and promote a combination of graph-theoretic, information-theoretic, and statistical methods as a way to better understand andcharacterize real-world networks. This volume is the first to present a self-contained, comprehensive overvi ew of information-theoretic modelsof complex networks with an emphasis on applications. It begins with four chaptersdeveloping the most significant formal-theoretical issues of network modeling,butthe majority of the book is devoted tocombining theoretica l results with an empirical analysis of real networks. Specific topics include: chemicalgraph theory ecosystem interaction dynamics social ontologies language networks software systems Thiswork marks a first step toward establishing advanced statistical i nformation theory as a unified theoretical basis of complexnetworksfor allscientific disciplines. As such, itcan serve asa valuable resource foradiverse audience of advanced students and professional scientists.It is primarilyintendedas a reference for re search, but couldalso be a useful supplemental graduate text in courses related to information science, graph theory, machine learning, and computational biology, among others
Note:Springer eBooks
Contents:Preface
Entropy of Digraphs and Infinite Networks
An Information
Theoretic Upper Bound on Planar Graphs Using Well
orderly Maps
Probabilistic Inference Using Function Factorization and Divergence Minimization
Wave Localization on Complex Networks
Information
Theoretic Methods in Chemical Graph Theory
On the Development and Application of Net
Sign Graph Theory
The Central Role of Information Theory in Ecology
Inferences About Coupling from Ecological Surveillance Monitoring
Markov Entropy Centrality
Social Ontologies as Generalizedd Nearly Acyclic Directed Graphs
ISBN:9780817649043
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Coding theory , Artificial intelligence , Physiology Mathematics , Telecommunication
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Call number:SPRINGER-2010-9783642119149:ONLINE Show nearby items on shelf
Title:Quantum Information, Computation and Cryptography [electronic resource] : An Introductory Survey of Theory, Technology and Experiments
Author(s): Fabio Benatti
Mark Fannes
Roberto Floreanini
Dimitri Petritis
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
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Note:This multi-authored textbook addresses graduate students with a background in physics, mathematics or computer science. No research experience is necessary. Consequently, rather than comprehensively reviewing the vast body ofknowledge and literature gathered in the past twenty years, this book concentrates on a number of carefully selected aspects of quantum information theory and technology. Given the highly interdisciplinary nature of the subject, themulti-authored approach brings together differen t points of view from various renowned experts, providing a coherent picture of the subject matter. The book consists of ten chapters and includes examples, problems, and exercises. Thefirst five present the mathematical tools required for a full comprehe nsion of various aspects of quantum mechanics, classical information, and coding theory. Chapter 6 deals with the manipulation and transmission of information in thequantum realm. Chapters 7 and 8 discuss experimental implementations of quantum informatio n ideas using photons and atoms. Finally, chapters 9 and 10 address ground-breaking applications in cryptography and computation
Note:Springer eBooks
Contents:Hilbert Space Methods for Quantum Mechanics
Classical Information Theory
Quantum Probablity and Quantum Information Theory
Bipartite Quantum Entanglement
Field
Theoretical Methods
Index
ISBN:9783642119149
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v808
Series:Physics and Astronomy (Springer-11651)
Keywords: Coding theory , Quantum theory , Mathematical physics
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Call number:SPRINGER-2010-9783642050145:ONLINE Show nearby items on shelf
Title:Hypergeometric Orthogonal Polynomials and Their q-Analogues [electronic resource]
Author(s): Roelof Koekoek
Peter A Lesky
Ren F Swarttouw
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:The very classical orthogonal polynomials named after Hermite, Laguerre and Jacobi, satisfy many common properties. For instance, they satisfy a second-order differential equation with polynomial coefficients and they can beexpressed in terms of a hy pergeometric function. Replacing the differential equation by a second-order difference equation results in (discrete) orthogonal polynomial solutions with similar properties. Generalizations of thesedifference equations, in terms of Hahn's q-difference o perator, lead to both continuous and discrete orthogonal polynomials with similar properties. For instance, they can be expressed in terms of (basic) hypergeometric functions.Based on Favard's theorem, the authors first classify all families of orthogonal polynomials satisfying a second-order differential or difference equation with polynomial coefficients. Together with the concept of duality this leads tothe families of hypergeometric orthogonal polynomials belonging to the Askey scheme. For each family they list the most important properties and they indicate the (limit) relations. Furthermore the authors classify all q-orthogonalpolynomials satisfying a second-order q-difference equation based on Hahn's q-operator. Together with the concept of duality this leads to the families of basic hypergeometric orthogonal polynomials which can be arranged in aq-analogue of the Askey scheme. Again, for each family they list the most important properties, the (limit) relations between the various families and the limit relations (for q --> 1) to the classical hypergeometric orthogonalpolynomials belonging to the Askey scheme. These (basic) hypergeometric orthogonal polynomials have several applications in various areas of mathematics and (quantum) physics such as approximation theory, asymptotics, birth and deathprocesses, probability and statistics, coding theory and combinatorics
Note:Springer eBooks
Contents:Foreword by Tom H. Koornwinder
Preface
1.Definitions and miscellaneous formulas
2.Polynomial solutions of eigenvalue problems
3.Orthogonality of the polynomial solutions
Part I: Classical orthogonal polynomials
4.Orthogonal polynomial solutions of differential equations, Continuous classical orthogonal polynomials
5.Orthogonal polynomial solutions of real difference equations, Discrete classical orthogonal polynomials I
6.Orthogonal polynomial solutions of complex difference equations, Discrete classical orthogonal polynomials II
7.Orthogonal polynomial solutions in
ISBN:9783642050145
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functions, special
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Call number:SPRINGER-2010-9783034602860:ONLINE Show nearby items on shelf
Title:Advances in Ring Theory [electronic resource]
Author(s): Dinh Huynh
Sergio R Lpez-Permouth
Date:2010
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
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Note:This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70thbirthday. The article s are on a wide variety of areas in classical ring theory and module theory, such as rings satisfying polynomial identities, rings of quotients, group rings, homological algebra, injectivity and itsgeneralizations, etc. Included are also applications of r ing theory to problems in coding theory and in linear algebra
Note:Springer eBooks
Contents:Foreward
Biographical sketch of S.K. Jain
Applications of Cogalois theory to elementary field arithmetic
On big lattices of classes of R
modules defined by closure properties
Reversible and duo group rings
Principally quasi
Baer ring hulls
Strongly prime ideals of near
rings of continuous functions
Elements of minimal prime ideals in general rings
The Camps
Dicks theorem
Applications of the stone duality in the theory of precompact Boolean rings
Over rings and functors
On some classes of repeated
root constacyclic codes of length a power of 2 over Galois Rings
ISBN:9783034602860
Series:e-books
Series:SpringerLink (Online service)
Series:Trends in Mathematics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra
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Call number:SPRINGER-2010-9781441917485:ONLINE Show nearby items on shelf
Title:Algorithms and Programming [electronic resource] : Problems and Solutions
Author(s): Alexander Shen
Date:2010
Edition:2
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
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Note:Algorithms and Programming is primarily intended for a first year undergraduate course in programming. Structured in a problem-solution format, the text motivates the student to think through the programming process, thusdeveloping a firm understandi ng of the underlying theory. Although a moderate familiarity with programming is assumed, the book is easily utilized by students new to computer science. The more advanced chapters make the book useful fora graduate course in the analysis of algorithms a nd/or compiler construction. New to the second edition are added chapters on suffix trees, games and strategies, and Huffman coding as well as an appendix illustrating the ease ofconversion from Pascal to C. The material covers such topics as combinatoric s, sorting, searching, queues, grammar and parsing, selected well-known algorithms, and much more. Reviews of the 1st Edition: The book is addressed both toambitious students and instructors looking for interesting problems [and] fulfills this task perfec tly, especially if the reader has a good mathematical background. Zentralblatt MATH This book is intended for students,engineers, and other people who want to improve their computer skills.... The chapters can be read independently. Throughout the book, useful exercises give readers a feeling for how to apply the theory. Computing ReviewsOverall...the book is well done. I recommend it to teachers and those wishing to sharpen their data structure and compiler skills. SIGACT News
Note:Springer eBooks
Contents:Variables, expressions, assignments
Generation of combinatorial objects
Tree traversal (backtracking)
Sorting
Finite
state algorithms in text processing
Data types
Recursion
Recursive and non
recursive programs
Graph algorithms
Pattern matching
Games analysis
Optimal coding
Set representation. Hashing
Sets, trees, and balanced trees
Context
free grammars
Left
to
right parsing (LR)
ISBN:9781441917485
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Undergraduate Texts in Mathematics and Technology, 1867-5506
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Computer software , Computer science Mathematics , Algorithms
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Call number:SPRINGER-2010-9781441914309:ONLINE Show nearby items on shelf
Title:A New Perspective on Thermodynamics [electronic resource]
Author(s): Bernard H Lavenda
Date:2010
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:Dr. Bernard H. Lavenda has written A New Perspective on Thermodynamics to combine an old look at thermodynamics with a new foundation. The book presents a historical perspective, which unravels the current presentation ofthermodynamics found in stand ard texts, and which emphasizes the fundamental role that Carnot played in the development of thermodynamics. A New Perspective on Thermodynamics will: Chronologically unravel the development of theprinciples of thermodynamics and how they were conceived by their discoverers Bring the theory of thermodynamics up to the present time and indicate areas of further development with the union of information theory and the theory ofmeans and their inequalities. New areas include nonextensive thermodynamics, the thermodynamics of coding theory, multifractals, and strange attractors. Reintroduce important, yet nearly forgotten, teachings of N.L. Sardi CarnotHighlight conceptual flaws in timely topics such as endoreversible engines, finite-time thermodynamics, geo metrization of thermodynamics, and nonequilibrium work from equilibrium free energy differences. Dr. Bernard H. Lavenda isProfessor of Physical Chemistry at Universita degli Studi di Camerino, Italy. He is recipient of the 2009 Telesio-Galeli Prize in Phy sics for his work on irreversible thermodynamics
Note:Springer eBooks
Contents:The predecessors of Carnot
Thermodynamics from Carnot to Clausius and Kelvin
Thermodynamics in a Carnot equation
Equivalence of First and Second Laws
Work from Nonequilibrium Systems
Nonextensive Thermodynamics
ISBN:9781441914309
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Distribution (Probability theory) , Thermodynamics , Mechanics, applied
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Call number:SPRINGER-2009-9783642019609:ONLINE Show nearby items on shelf
Title:Algorithmic Algebraic Combinatorics and Grbner Bases [electronic resource]
Author(s): Mikhail Klin
Gareth A Jones
Aleksandar Jurii
Mikhail Muzychuk
Ilia Ponomarenko
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:This collection of tutorial and research papers introduces readers to diverse areas of modern pure and applied algebraic combinatorics and finite geometries with a special emphasis on algorithmic aspects and the use of the theoryof Grbner bases. Topi cs covered include coherent configurations, association schemes, permutation groups, Latin squares, the Jacobian conjecture, mathematical chemistry, extremal combinatorics, coding theory, designs, etc. Specialattention is paid to the description of innova tive practical algorithms and their implementation in software packages such as GAP and MAGMA. Readers will benefit from the exceptional combination of instructive training goals with thepresentation of significant new scientific results of an interdiscip linary nature
Note:Springer eBooks
ISBN:9783642019609
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Algebra , Combinatorics , Geometry
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Call number:SPRINGER-2009-9783540938064:ONLINE Show nearby items on shelf
Title:Grbner Bases, Coding, and Cryptography [electronic resource]
Author(s): Massimiliano Sala
Shojiro Sakata
Teo Mora
Carlo Traverso
Ludovic Perret
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Coding theory and cryptography allow secure and reliable data transmission, which is at the heart of modern communication. Nowadays, it is hard to find an electronic device without some code inside. Grbner bases have emerged asthe main tool in comput ational algebra, permitting numerous applications, both in theoretical contexts and in practical situations. This book is the first book ever giving a comprehensive overview on the application of commutativealgebra to coding theory and cryptography. For e xample, all important properties of algebraic/geometric coding systems (including encoding, construction, decoding, list decoding) are individually analysed, reporting all significantapproaches appeared in the literature. Also, stream ciphers, PK cryptogr aphy, symmetric cryptography and Polly Cracker systems deserve each a separate chapter, where all the relevant literature is reported and compared. While manyshort notes hint at new exciting directions, the reader will find that all chapters fit nicely wi thin a unified notation
Note:Springer eBooks
Contents:Grbner Bases, Coding, and Cryptography: aGuide to the State
of
Art
Grbner Bases, Coding, and Cryptography: aGuide to the State
of
Art
Invited Papers
Grbner Technology
The FGLM Problem and Mllers Algorithm onZero
dimensional Ideals
An Introduction to Linear and Cyclic Codes
Decoding Cyclic Codes: the Cooper Philosophy
A Tutorial on AG Code Construction fromaGrbner Basis Perspective
Automorphisms and Encoding of AG and Order Domain Codes
Algebraic Geometry Codes from Order Domains
The BMS Algorithm
The BMS Algorithm and Decoding of AG Codes
ISBN:9783540938064
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Data encryption (Computer science) , Information theory , Computer science , Algebra , Combinatorics
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Call number:SPRINGER-2009-9783540852988:ONLINE Show nearby items on shelf
Title:Number Theory in Science and Communication [electronic resource] : With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity
Author(s): Manfred Schroeder
Date:2009
Edition:Fifth Edition
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:Number Theory in Science and Communication is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics . It stresses intuitive understanding rather than abstract theory andhighlights important conc epts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primitive elements. Their applications to problems in the real world are oneof the main themes of the book. This revised fi fth edition is augmented by recent advances in coding theory, permutations and derangements and a chapter in quantum cryptography. From reviews of earlier editions I continue to find[Schroeders] Number Theory a goldmine of valuable information. It is a m arvellous book, in touch with the most recent applications of number theory and written with great clarity and humor. Philip Morrison (Scientific American)A light-hearted and readable volume with a wide range of applications to which the author has been a productive contributor useful mathematics outside the formalities of theorem and proof. Martin Gardner
Note:Springer eBooks
Contents:Introduction
The Natural Numbers
Primes
The Prime Distribution
Fractions: Continued, Egyptian and Farey
Linear Congruences
Diophantine Equations
The Theorems of Fermat, Wilson and Euler
Permutation, Cycles and Derangements
Euler Trap Doors and Public
Key Encryption
The Divisor Functions
The Prime Divisor Functions
Certified Signatures
Primitive Roots
Knapsack Encryption
Quadratic Residues
The Chinese Remainder Theorem and Simultaneous Congruences
Fast Transformations and Kronecker Products
Quadratic Congruences
Psudoprimes, Poker and Rem
ISBN:9783540852988
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Coding theory , Number theory , Distribution (Probability theory) , Mathematical physics
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Call number:SPRINGER-2009-9783540768784:ONLINE Show nearby items on shelf
Title:Algebraic Function Fields and Codes [electronic resource]
Author(s): Henning Stichtenoth
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The theory of algebraic function fields has its origins in number theory, complex analysis (compact Riemann surfaces), and algebraic geometry. Since about 1980, function fields have found surprising applications in other branchesof mathematics such a s coding theory, cryptography, sphere packings and others. The main objective of this book is to provide a purely algebraic, self-contained and in-depth exposition of the theory of function fields. This newedition, published in the series Graduate Texts i n Mathematics, has been considerably expanded. Moreover, the present edition contains numerous exercises. Some of them are fairly easy and help the reader to understand the basicmaterial. Other exercises are more advanced and cover additional material whi ch could not be included in the text. This volume is mainly addressed to graduate students in mathematics and theoretical computer science, cryptography,coding theory and electrical engineering
Note:Springer eBooks
Contents:1. Foundations of the Theory of Algebraic Function Fiels
2. Algebraic Geometry Codes
3. Extensions of Algebraic Function Fields
4. Differentials of Algebraic Function Fields
5. Algebraic Function Fields over Finite Constant Fields
6. Examples of Algebraic Function Fields
7. Asymptotic Bounds for the Number of Rational Places
8. More about Algebraic Geometry Codes
9. Subfield Subcodes and Trace Codes
Appendix A. Field Theory
Appendix B. Algebraic Curves and Algebraic Function Fields
Bibliography
List of Notations
Index
ISBN:9783540768784
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Mathematics, 0072-5285 : v254
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Data structures (Computer science) , Algebra , Geometry, algebraic , Engineering mathematics
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Call number:SPRINGER-2009-9783540692003:ONLINE Show nearby items on shelf
Title:Elementary Number Theory, Cryptography and Codes [electronic resource]
Author(s): Maria Welleda Baldoni
Ciro Ciliberto
Giulia Maria Piacentini Cattaneo
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:In this volume one finds basic techniques from algebra and number theory (e.g. congruences, unique factorization domains, finite fields, quadratic residues, primality tests, continued fractions, etc.) which in recent years haveproven to be extremely useful for applications to cryptography and coding theory. Both cryptography and codes have crucial applications in our daily lives, and they are described here, while the complexity problems that arise inimplementing the related numerical algorithms are also taken into due account. Cryptography has been developed in great detail, both in its classical and more recent aspects. In particular public key cryptography is extensivelydiscussed, the use of algebraic geometry, specifically of elliptic curves over finite fields, is illustrated, and a final chapter is devoted to quantum cryptography, which is the new frontier of the field. Coding theory is notdiscussed in full however a chapter, sufficient for a good introduction to the subject, has been devoted to linear codes. Each chapter ends with several complements and with an extensive list of exercises, the solutions to most ofwhich are included in the last chapter. Though the book contains advanced material, such as cryptography on elliptic curves, Goppa c odes using algebraic curves over finite fields, and the recent AKS polynomial primality test, theauthors' objective has been to keep the exposition as self-contained and elementary as possible. Therefore the book will be useful to students and researchers , both in theoretical (e.g. mathematicians) and in applied sciences (e.g.physicists, engineers, computer scientists, etc.) seeking a friendly introduction to the important subjects treated here. The book will also be useful for teachers who intend to give courses on these topics
Note:Springer eBooks
Contents:A round
up on numbers
Computational complexity
From infinite to finite
Finite is not enough: factoring integers
Finite fields and polynomial congruences
Primality and factorisation tests
Secrets and lies
Transmitting withoutfear of errors
The future is already here: quantum cryptography
ISBN:9783540692003
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Data structures (Computer science) , Algebra , Combinatorics , Geometry , Number theory
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Call number:SPRINGER-2009-9783034600781:ONLINE Show nearby items on shelf
Title:Entropy and Information [electronic resource]
Author(s): Mikhail V Volkenstein
Date:2009
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book Entropy and Information deals with the thermodynamical concept of entropy and its relationship to information theory. It is successful in explaining the universality of the term Entropy not only as a physicalphenomenon, but reveals its exist ence also in other domains. E.g., Volkenstein discusses the meaning of entropy in a biological context and shows how entropy is related to artistic activities. Written by the renowned Russianbio-physicist Mikhail V. Volkenstein, this book on Entropy and I nformation surely serves as a timely introduction to understand entropy from a thermodynamic perspective and is definitely an inspiring and thought-provoking book thatshould be read by every physicist, information-theorist, biologist, and even artist
Note:Springer eBooks
Contents:1. Reflections on the motive power of fire ...
2. The laws of thermodynamics
3. Entropy and free energy
4. Entropy and probability
5. Statistics and mechanics
6. Open systems
7. Information
8. Entropy, information, life
ISBN:9783034600781
Series:e-books
Series:SpringerLink (Online service)
Series:Progress in Mathematical Physics : v57
Series:Physics and Astronomy (Springer-11651)
Keywords: Coding theory , Bioinformatics , Quantum theory
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Call number:SPRINGER-2009-9783034600026:ONLINE Show nearby items on shelf
Title:Flag-transitive Steiner Designs [electronic resource]
Author(s): Michael Huber
Date:2009
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The monograph provides the first full discussion of flag-transitive Steiner designs. This is a central part of the study of highly symmetric combinatorial configurations at the interface of several mathematical disciplines, likefinite or incidence ge ometry, group theory, combinatorics, coding theory, and cryptography. In a sufficiently self-contained and unified manner the classification of all flag-transitive Steiner designs is presented. This recent resultsettles interesting and challenging questio ns that have been object of research for more than 40 years. Its proof combines methods from finite group theory, incidence geometry, combinatorics, and number theory. The book contains abroad introduction to the topic, along with many illustrative exampl es. Moreover, a census of some of the most general results on highly symmetric Steiner designs is given in a survey chapter. The monograph is addressed to graduatestudents in mathematics and computer science as well as established researchers in design th eory, finite or incidence geometry, coding theory, cryptography, algebraic combinatorics, and more generally, discrete mathematics
Note:Springer eBooks
Contents:Preface
1. Incidence Structures and Steiner Designs
2. Permutation Groups and Group Actions
3. Number Theoretical Tools
4. Highly Symmetric Steiner Designs
5. A Census of Highly Symmetric Steiner Designs
6. The Classification of Flag
transitive Steiner Quadruple Systems
7. The Classification of Flag
transitive Steiner 3
Designs
8. The Classification of Flag
transitive Steiner 4
Designs
9. The Classification of Flag
transitive Steiner 5
Designs
10. The Non
Existence of Flag
transitive Steiner 6
Designs
References
Index
ISBN:9783034600026
Series:e-books
Series:SpringerLink (Online service)
Series:Frontiers in Mathematics, 1660-8046
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Combinatorics , Discrete groups
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Call number:SPRINGER-2009-9781441901606:ONLINE Show nearby items on shelf
Title:Numerical Semigroups [electronic resource]
Author(s): J.C Rosales
P. A Garca-Snchez
Date:2009
Edition:First
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This monograph is the first devoted exclusively to the development of the theory of numerical semigroups. In this concise, self-contained text, graduate students and researchers will benefit from this broad exposition of thetopic. Key features of Num erical Semigroups include: - Content ranging from the basics to open research problems and the latest advances in the field - Exercises at the end of each chapter that expand upon and support thematerial - Emphasis on the computational aspects of the theo ry algorithms are presented to provide effective calculations - Many examples that illustrate the concepts and algorithms - Presentation of various connections betweennumerical semigroups and number theory, coding theory, algebraic geometry, linear progra mming, and commutative algebra would be of significant interest to researchers. Numerical Semigroups is accessible to first year graduatestudents, with only a basic knowledge of algebra required, giving the full background needed for readers not familiar with the topic. Researchers will find the tools presented useful in producing examples and counterexamples in otherfields such as algebraic geometry, number theory, and linear programming
Note:Springer eBooks
Contents:Introduction
1. Notable Elements
2. Numerical Semigroups with Maximal Embedding Dimension
3. Irreducible Numerical Semigropus
4. Proportionally Modular Numerical Semigroups
5. The Quotient of a Numerical Semigroup by a Positive Integer
6. Families of Numerical Semigroups Closed Under Finite Intersections and Adjoin of the Frobenius Number
7. Presentations of a Numerical Semigroup
8. The Gluing of Numerical Semigroups
9. Numerical Semigroups with Embedding Dimension Three
10. The Structure of a Numerical Semigroup
Bibliography. List of Symbols. Index
ISBN:9781441901606
Series:e-books
Series:SpringerLink (Online service)
Series:Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt, 1389-2177 : v20
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Group theory , Number theory
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Call number:SPRINGER-2009-9780817648039:ONLINE Show nearby items on shelf
Title:Stochastic Models, Information Theory, and Lie Groups, Volume 1 [electronic resource] : Classical Results and Geometric Methods
Author(s): Gregory S Chirikjian
Date:2009
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The subjects of stochastic processes, information theory, and Lie groups are usually treated separately from each other. This unique two-volumeset presents these topics in a unified setting, thereby building bridges betweenfields that are rarely stud ied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, andgroup-theoretic concepts in the modeling of physical ph enomena. Volume 1 establishes the geometric and statistical foundations required to understand the fundamentals of continuous-time stochastic processes, differential geometry, andthe probabilistic foundations of information theory. Volume 2 delves deeper into relationships between these topics, including stochastic geometry, geometric aspects of the theory of communications and coding, multivariate statisticalanalysis, and error propagation on Lie groups. Key features and topics of Volume 1: * The author reviews stochastic processes and basic differential geometry in an accessible way for applied mathematicians, scientists, and engineers.* Extensive exercises and motivating examples make the work suitable as a textbook for use in courses that emphasize ap plied stochastic processes or differential geometry. * The concept of Lie groups as continuous sets of symmetryoperations is introduced. * The FokkerPlanck Equation for diffusion processes in Euclidean space and on differentiable manifolds is derived in a way that can be understood by nonspecialists. * The concrete presentation style makesit easy for readers to obtain numerical solutions for their own problems the emphasis is on how to calculate quantities rather than how to prove theorems. * A self-conta ined appendix provides a comprehensive review of concepts fromlinear algebra, multivariate calculus, and systems of ordinary differential equations. Stochastic Models, Information Theory, and Li
Note:Springer eBooks
Contents:ANHA Series Preface
Preface
Introduction
Gaussian Distributions and the Heat Equation
Probability and Information Theory
Stochastic Differential Equations
Geometry of Curves and Surfaces
Differential Forms
Polytopes and Manifolds
Stochastic Processes on Manifolds
Summary
Appendix: Review of Linear Algebra, Vector Calculus, and Systems Theory
Index
ISBN:9780817648039
Series:e-books
Series:SpringerLink (Online service)
Series:Applied and Numerical Harmonic Analysis
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Group theory , Harmonic analysis , Distribution (Probability theory) , Mathematical physics , Engineering mathematics
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Call number:SPRINGER-2009-9780387740706:ONLINE Show nearby items on shelf
Title:The Search for Extraterrestrials [electronic resource] Intercepting Alien Signals
Author(s): Monte Ross
Date:2009
Publisher:New York, NY : Praxis
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:In The Search for Extraterrestrials, Monte Ross explores in detail the key problems in starting a search, the programs that have failed and those that continue. He includes the fundamental considerations and the physics of thenecessary laser, UV, IR and RF technologies, as well as coding and information theory considerations. The author explores future possibilities providing the reader with a comprehensive view of the many ways signals from aliens could besent and explains why the search using RF le aves more than 99% of the electromagnetic spectrum unexamined. He also demonstrates the many parts of the electromagnetic spectrum, considering the next likely steps in this uniqueenterprise. Given mans intrinsic nature to explore, the search will continu e in one form or many, until success is achieved, which may be tomorrow or a millennium away. In summary, Monte Ross proposes to get around the failure of afruitless search at radio frequencies by developing, in a precise way, the argument for searching f or transmissions in the optical region of the electromagnetic spectrum
Note:Springer eBooks
Contents:The likelihood of extraterrestrial intelligence
Vast distances and long travel times
Stars, their evolution and types
Planets and our Sun
The many constraints on life
Why would anyone transmit to us?
The Drake Equation and habitable planets
The basics of space communication
Where to look in the electromagnetic spectrum?
Receiver basics and how big is big?
Noise and limitations on sensitivity
Programs in SETI
A brief history of SETI
Radio
frequency and microwave SETI, including the Allen Telescope Array
Early optical SETI and the all
sky Harvard system
ISBN:9780387740706
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Praxis Books
Series:Physics and Astronomy (Springer-11651)
Keywords: Astrophysics , Astronomy
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Call number:SPRINGER-2008-9783764385392:ONLINE Show nearby items on shelf
Title:Recent Advances in Matrix and Operator Theory [electronic resource]
Author(s): Joseph A Ball
Yuli Eidelman
J. William Helton
Vadim Olshevsky
James Rovnyak
Date:2008
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book expands the lectures given at IWOTA05 (International Workshop on Operator Theory and Applications) which was held at the University of Connecticut, Storrs, USA, July 2427, 2005. Many developments on the cuttingedge of research in operator t heory, matrix theory, coding theory, system theory, control theory and numerical linear algebra are reflected in this collection of original articles. The volume is of a cross-disciplinary nature. A numberof papers are devoted to the analysis and algorith ms for matrices with quasiseparable structure which is an active area of concurrent research in numerical linear algebra
Note:Springer eBooks
Contents:Preface
List of Participants
Research articles
ISBN:9783764385392
Series:e-books
Series:SpringerLink (Online service)
Series:Operator Theory: Advances and Applications : v179
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Functional analysis , Operator theory , Mathematical physics
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Call number:SPRINGER-2008-9781848002739:ONLINE Show nearby items on shelf
Title:Codes: An Introduction to Information Communication and Cryptography [electronic resource]
Author(s): N.L Biggs
Date:2008
Publisher:London : Springer London
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Information is an important feature of the modern world. Mathematical techniques underlie the devices that we use to handle it, for example, mobile phones, digital cameras, and personal computers. This book is an integratedintroduction to the mathema tics of coding, that is, replacing information expressed in symbols, such as a natural language or a sequence of bits, by another message using (possibly) different symbols. There are three main reasons fordoing this: economy, reliability, and security, a nd each is covered in detail. Only a modest mathematical background is assumed, the mathematical theory being introduced at a level that enables the basic problems to be statedcarefully, but without unnecessary abstraction. Other features include: clear a nd careful exposition of fundamental concepts, including optimal coding, data compression, and public-key cryptography concise but complete proofs ofresults coverage of recent advances of practical interest, for example in encryption standards, authentica tion schemes, and elliptic curve cryptography numerous examples and exercises, and a full solutions manual available tolecturers from www.springer.com This modern introduction to all aspects of coding is suitable for advanced undergraduate or postgraduate courses in mathematics, computer science, electrical engineering, or informatics. It is alsouseful for researchers and practitioners in related areas of science, engineering and economics
Note:Springer eBooks
Contents:Coding and its uses
Prefix
free codes
Economical coding
Data compression
Noisy channels
The problem of reliable communication
The noisy coding theorems
Linear codes
Algebraic coding theory
Coding natural languages
The development of cryptography
Cryptography in theory and practice
The RSA cryptosystem
Cryptography and calculation
Elliptic curve cryptography
Answers to odd
numbered exercises
Index
ISBN:9781848002739
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Undergraduate Mathematics Series, 1615-2085
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Data structures (Computer science) , Coding theory , Combinatorics , Number theory , Telecommunication
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Call number:SPRINGER-2007-9783764378080:ONLINE Show nearby items on shelf
Title:Quantum Decoherence [electronic resource] : Poincar Seminar 2005
Author(s): Bertrand Duplantier
Jean-Michel Raimond
Vincent Rivasseau
Date:2007
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The Poincar Seminar is held twice a year at the Institute Henri Poincar in Paris. The goal of this seminar is to provide up-to-date information about general topics of great interest in physics. Both the theoretical andexperimental results are covere d, with some historical background. Particular care is devoted to the pedagogical nature of the presentation. This volume is devoted to Quantum Decoherence. A broad perspective on the subject is providedby the contributions of W. H. Zurek, H. D. Zeh and E . Joos, together with clean up-to-date presentations of the actual experiments on decoherence both in the mesoscopic systems of atomic physics, by J.M. Raimond and S. Haroche, and inthe quantronic or condensed matter context, by D. Esteve et al. Further, the question of quantum codes and error corrections is discussed in the contribution of J. Kempe
Note:Springer eBooks
Contents:Decoherence and the Transition from Quantum to Classical Revisited
Monitoring the Decoherence of Mesoscopic Quantum Superpositions in a Cavity
Approaches to Quantum Error Correction
Decoherence of a Quantum Bit Circuit
Roots and Fruits of Decoherence
Dynamical Consequences of Strong Entanglement
ISBN:9783764378080
Series:e-books
Series:SpringerLink (Online service)
Series:Progress in Mathematical Physics : v48
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Coding theory , Quantum theory , Mathematical physics
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Call number:SPRINGER-2007-9783540688884:ONLINE Show nearby items on shelf
Title:Psychoacoustics [electronic resource] : Facts and Models
Author(s): Hugo Fastl
Eberhard Zwicker
Date:2007
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Psychoacoustics Facts and Models offers a unique, comprehensive summary of information describing the processing of sound by the human hearing system. It includes quantitative relations between sound stimuli and auditoryperception in terms of hearin g sensations, for which quantitative models are given, as well as an unequalled collection of data on the human hearing system as a receiver of acoustic information. In addition, many examples of thepractical application of the results of basic research i n fields such as noise control, audiology, or sound quality engineering are detailed. The third edition includes an additional chapter on audio-visual interactions andapplications, plus more on applications throughout.Reviews of previous editions havechar acterizedit asan essential source of psychoacoustic knowledge, a major landmark , and a book that without doubt will have along-lasting effect on the standing and future evolution of this scientific domain.
Note:Springer eBooks
Contents:Stimuli and procedures
Hearing area
Information processing in the auditory systems
Masking
Pitch and pitch strength
Critical bands and excitation
Just
noticeable sound changes
Loudness
Sharpness and sensory pleasantness
Fluctuation strength
Roughness
Subjective duration
Rhythm
The ear's own nonlinear distortion
Binaural hearing
Audio
visual interactions
Examples of applications
ISBN:9783540688884
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Coding theory , Acoustics , Telecommunication
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Call number:SPRINGER-2007-9783540327776:ONLINE Show nearby items on shelf
Title:Entropy, Search, Complexity [electronic resource]
Author(s): Imre Csiszr
Gyula O. H Katona
Gbor Tardos
Gbor Wiener
Date:2007
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The present volume is a collection of survey papers in the fields of entropy, search and complexity. They summarize the latest developments in their respective areas. More than half of the papers belong to search theory which lieson the borderline of mathematics and computer science, information theory and combinatorics, respectively. Search theory has variegated applications, among others in bioinformatics. Some of these papers also have links to linearstatistics and communicational complexity. Furt her works survey the fundamentals of information theory and quantum source coding. The volume is recommended to experienced researchers as well as young scientists and students both inmathematics and computer science
Note:Springer eBooks
Contents:Preface
M. Aigner: Two colors and More
Chr. Deppe: Coding with Feedback and Searching with Lies
S. Ghosh, T. Shirakura, J.N. Shrivastava: Model Identification Using Search Linear Models and Search Designs
A.G. D'yachkov, A.J. Macula, P.A. Vilenkin: Non
adaptive and Trivial Two
Stage Group Testing with Error
Correcting de
Disjunct Inclusion Matrices
P. Harremoes: Information Topologies with Applications
M. Keane: Reinforced Random Walk
D. Petz: Quantum Source Coding and Data Compression
F. Topsoe: Information Theory at the Service of Science
P. Vitanyi: Analysis of So
ISBN:9783540327776
Series:e-books
Series:SpringerLink (Online service)
Series:Bolyai Society Mathematical Studies, 1217-4696 : v16
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Coding theory , Computer software , Bioinformatics , Combinatorics , Topology , Economics Statistics
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Call number:SPRINGER-2007-9781402053344:ONLINE Show nearby items on shelf
Title:Topics in Geometry, Coding Theory and Cryptography [electronic resource]
Author(s): Arnaldo Garcia
Henning Stichtenoth
Date:2007
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in differentareas of mathematics an d information theory, such as coding theory, sphere packings and lattices, sequence design, and cryptography. The use of function fields often led to better results than those of classical approaches. This bookpresents survey articles on some of these new developments. Most of the material is directly related to the interaction between function fields and their various applications in particular the structure and the number of rationalplaces of function fields are of great significance. The topics focus o n material which has not yet been presented in other books or survey articles. Wherever applications are pointed out, a special effort has been made to present somebackground concerning their use
Note:Springer eBooks
ISBN:9781402053344
Series:e-books
Series:SpringerLink (Online service)
Series:Algebra and Applications : v6
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Data encryption (Computer science) , Coding theory , Geometry, algebraic , Number theory
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Call number:SPRINGER-2006-9783540332190:ONLINE Show nearby items on shelf
Title:Algorithmic Information Theory [electronic resource] : Mathematics of Digital Information
Author(s): Peter Seibt
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:This book treats the Mathematics of many important areas in digital information processing. It covers, in a unified presentation, five topics: Data Compression, Cryptography, Sampling (Signal Theory), Error Control Codes, DataReduction. The thematic choices are practice-oriented. So, the important final part of the book deals with the Discrete Cosine Transform and the Discrete Wavelet Transform, acting in image compression. The presentation is dense, theexamples and numerous exercises are concrete. T he pedagogic architecture follows increasing mathematical complexity. A read-and-learn book on Concrete Mathematics, for teachers, students and practitioners in Electronic Engineering,Computer Science and Mathematics
Note:Springer eBooks
Contents:Data Compaction
Cryptography
Information Theory and Signal Theory: Sampling and Reconstruction
Error Control Codes
Data Reduction: Lossy Compression
ISBN:9783540332190
Series:e-books
Series:SpringerLink (Online service)
Series:Signals and Communication Technology, 1860-4862
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Coding theory , Computational complexity , Algorithms , Engineering mathematics , Engineering
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Call number:SPRINGER-2006-9783540317036:ONLINE Show nearby items on shelf
Title:Error-Correcting Linear Codes [electronic resource] : Classification by Isometry and Applications
Author(s): Anton Betten
Michael Braun
Harald Fripertinger
Adalbert Kerber
Axel Kohnert
Alfred Wassermann
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This text offers a thorough introduction to the mathematical concepts behind the theory of error-correcting linear codes. Care is taken to introduce the necessary algebraic concepts, for instance the theory of finite fields, thepolynomial rings over such fields and the ubiquitous concept of group actions that allows the classification of codes by isometry. The book provides in-depth coverage of important topics like cyclic codes and the coding theory used incompact disc players. The final four chapte rs cover advanced and algorithmic topics like the classification of linear codes by isometry, the enumeration of isometry classes, random generation of codes, the use of lattice basisreduction to compute minimum distances, the explicit construction of cod es with given parameters, as well as the systematic evaluation of representatives of all isometry classes of codes. Up until now, these advanced topics have onlybeen covered in research papers. The present book provides access to these results at a level which is suitable for graduate students of mathematics, computer science and engineering as well as for researchers
Note:Springer eBooks
Contents:Preface
1 Linear Codes
2 Bounds and Modifications
3 Finite Fields
4 Cyclic Codes
5 Particular Series of Cyclic Codes
6 Encoding and Decoding of Cyclic Codes
7 Mathematics Behind Audio Compact Discs
8 Enumeration of Isometry Classes
9 Solving Diophantine Linear Systems
10 Linear Codes with a Prescribed Minimum Distance
11 Exhaustive Construction of Linear Codes
References
ISBN:9783540317036
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v18
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Coding theory , Algebra , Algorithms , Combinatorics
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Call number:SPRINGER-2006-9783540307310:ONLINE Show nearby items on shelf
Title:Self-Dual Codes and Invariant Theory [electronic resource]
Author(s): Gabriele Nebe
Eric M Rains
Neil J.A Sloane
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory. In the past 35 years there have beenhundreds of papers written a bout generalizations and applications of this theorem to different types of codes. This self-contained book develops a new theory which is powerful enough to include all the earlier generalizations. It isalso in part an encyclopedia that gives a very exte nsive list of the different types of self-dual codes and their properties, including tables of the best codes that are presently known. Besides self-dual codes, the book also discussestwo closely-related subjects, lattices and modular forms, and quantum e rror-correcting codes. This book, written by the leading experts in the subject, has no equivalent in the literature and will be of great interest tomathematicians, communication theorists, computer scientists and physicists
Note:Springer eBooks
Contents:Preface
1 The Type of a Self
Dual Code
2 Weight Enumerators and Important Types
3 Closed Codes
4 The Category Quad
5 The Main Theorems
6 Real and Complex Clifford Groups
7 Classical Self
Dual Codes
8 Further Examples of Self
Dual Codes
9 Lattices
10 Maximal Isotropic Codes and Lattices
11 Extremal and Optimal Codes
12 Enumeration of Self
Dual Codes
13 Quantum Codes
Bibliography
Index
ISBN:9783540307310
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v17
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Coding theory , Algebra , Group theory , Number theory , Quantum computing
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Call number:SPRINGER-2006-9783540302667:ONLINE Show nearby items on shelf
Title:Quantum Information [electronic resource] : An Introduction
Author(s): Masahito Hayashi
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Recently, quantum information theory has been developing through a fusion of results from various research fields. This requires that understanding of basic results on diverse topics, and derived from different disciplinaryperspectives, is required f or appreciating the overall picture. Intended to merge key topics from both the information-theoretic and quantum- mechanical viewpoints, this graduate-level textbook provides a unified viewpoint of quantuminformation theory and lucid explanations of thos e basic results, so that the reader fundamentally grasps advances and challenges. For example, advanced topics in quantum communication such as quantum teleportation, superdense coding,quantum state transmission (quantum error-correction), and quantum enc ryption especially benefit from this unified approach. Unlike earlier treatments, the text requires knowledge of only linear algebra, probability theory, and quantummechanics, while it treats the topics of quantum hypothesis testing and the discrimination of quantum states, and quantum channel coding (message transmission) with the minimal amount of math needed to convey their essence. Solving themore than 240 exercises provides readers with practice that not only enriches their knowledge of quantum infor mation theory, but also can equip them with the techniques necessary for pursuing their own research in this field
Note:Springer eBooks
Contents:Introduction
1. Mathematical Formulation of Quantum Systems
2. Information Quantities and Parameter Estimation in Classical System
3. Quantum Hypothesis Testing and Discrimination of Quantum States
4. Classical
Quantum Channel Coding (Message Transmission)
5. State Evolution and Trace Preserving Completely Positive Maps
6. Quantum Information Geometry and Quantum Estimation
7. Quantum Measurements and State Reduction
8. Entanglement and Locality Restrictions
9. Analysis of Quantum Communication Protocols
10. Source Coding in Quantum System
A. Limits and Linear
ISBN:9783540302667
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum computing
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Call number:SPRINGER-2006-9783540289913:ONLINE Show nearby items on shelf
Title:Classification Algorithms for Codes and Designs [electronic resource]
Author(s): Petteri Kaski
Patric R.J stergrd
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book considers one of the basic problems in discrete mathematics: given a collection of constraints, describe up to isomorphism all the objects that meet them. Only a handful of classification results for combinatorialobjects are dated before th e mid-20th century indeed, it is through modern computers and recent developments in algorithms that this topic has flourished and matured. This book is the first comprehensive reference on combinatorialclassification algorithms, with emphasis on both the general theory and application to central families of combinatorial objects, in particular, codes and designs. The book will be of great interest to researchers and can be used ascourse material for graduate courses in both computer science and mathemati cs
Note:Springer eBooks
ISBN:9783540289913
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v15
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Coding theory , Computer science Mathematics , Combinatorics , Telecommunication
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Call number:SPRINGER-2006-9783540265986:ONLINE Show nearby items on shelf
Title:Number Theory in Science and Communication [electronic resource] : With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity
Author(s): Manfred R Schroeder
Date:2006
Edition:Fourth Edition
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Number Theory in Science and Communication is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics . It stresses intuitive understanding rather than abstract theory andhighlights important conc epts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primitive elements. Their applications to problems in the real world are oneof the main themes of the book. This revised fo urth edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with elliptic curves, quantum factoring,Golomb rulers and baroque integers. From reviews of earlier editions I continue to find [Schroeders] Number Theory a goldmine of valuable information. It is a marvellous book, in touch with the most recent applications ofnumber theory and written with great clarity and humor. Philip Morrison (Scientific American) A light -hearted and readable volume with a wide range of applications to which the author has been a productive contributor usefulmathematics outside the formalities of theorem and proof. Martin Gardner
Note:Springer eBooks
Contents:The Natural Numbers
Primes
The Prime Distribution
Fractions: Continued, Egyptian and Farey
Linear Congruences
Diophantine Equations
The Theorems of Fermat, Wilson and Euler
Euler Trap Doors and Public
Key Encryption
The Divisor Functions
The Prime Divisor Functions
Certified Signatures
Primitive Roots
Knapsack Encryption
Quadratic Residues
The Chinese Remainder Theorem and Simultaneous Congruences
Fast Transformation and Kronecker Products
Quadratic Congruences
Pseudoprimes, Poker and Remote Coin Tossing
The Mbius Function and the Mbius
ISBN:9783540265986
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Information Sciences, 0720-678X : v7
Series:Physics and Astronomy (Springer-11651)
Keywords: Coding theory , Number theory , Distribution (Probability theory) , Mathematical physics
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