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SPIRES-BOOKS: FIND KEYWORD THEORY OF COMPUTATION *END*INIT* use /tmp/qspiwww.webspi1/7957.152 QRY 131.225.70.96 . find keyword theory of computation ( in books using www Cover
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Call number:9783319398334:ONLINE Show nearby items on shelf
Title:Control of Magnetotransport in Quantum Billiards Theory, Computation and Applications
Author(s): Christian V Morfonios
Date:2017
Publisher:Cham : Springer International Publishing
Size:1 online resource (X, 252 p. 49 illus., 48 illus. in color p.)
Contents:Introduction -- Electrons in mesoscopic low-dimensional systems -- Coherent electronic transport: Landauer-Büttiker formalism -- Stationary scattering in planar confining geometries -- Computational quantum transport in multiterminal
and multiply connected structures -- Magnetoconductance switching by phase modulation in arrays of oval quantum billiards -- Current control in soft-wall electron billiards: energy-persistent scattering in the deep quantum regime --
Directional transport in multiterminal focusing quantum billiards -- Summary, conclusions, and perspectives
ISBN:9783319398334
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Magnetism , Magnetic materials , Nanoscale science , Nanoscience , Nanostructures , Semiconductors , Nanotechnology , Optical materials , Electronic materials , Physics , Semiconductors , Optical and Electronic Materials , Nanotechnology and Microengineering , Magnetism, Magnetic Materials , Nanoscale Science and Technology
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Call number:1118014782:ONLINE Show nearby items on shelf
Title:Theory of Computation
Author(s): Tourlakis
Date:2012
Publisher:Wiley
Size:1 online resource (417 p.)
ISBN:9781118014783
Series:eBooks
Series:Wiley Online Library
Series:Wiley 2016 package purchase
Keywords: Mathematics
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Call number:SPRINGER-2016-9784431557562:ONLINE Show nearby items on shelf
Title:Principles and Methods of Quantum Information Technologies
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (226 p.)
Note:10.1007/978-4-431-55756-2
Contents:Quantum Information Theory for Quantum Communication -- Quantum Communication for the Ultimate Capacity and Security -- Quantum Communication Experiments Over Optical Fiber -- Spin-photon Entanglement in Semiconductor Quantum Dots:
Towards Solid-state-based Quantum Repeaters -- Optical Lattice Clocks for Precision Time and Frequency Metrology -- Cold Atom Magnetometers -- Photonic Quantum Metrologies Using Photons -phase Super-sensitivity and
Entanglement-enhanced Imaging -- Counting Statistics of Single-electron Transport -- Some Recent Progress for approximation algorithms -- Coherent Computing with Injection-Locked Laser Network -- A Degenerate Optical Parametric
Oscillator Network for Coherent Computation -- Coherent Ising Machines with Quantum Measurement and Feedback Control -- Bose-Einstein Condensation: A Common Platform for Quantum Simulation Experiments -- Quantum Simulation Using
Ultracold Ytterbium Atoms in an Optical Lattice -- Quantum Simulation with Trapped Ions―Experimental Realization of the Jaynes-Cummings-Hubbard Model― -- Equilibrium to Nonequilibrium Condensation in Driven-dissipative Semiconductor
Systems -- High-orbital Exciton-polariton Condensation: Towards Quantum-simulator Applications -- Layered Architectures for Quantum Computers and Quantum Repeaters -- Analysis of an Atom-optical Architecture for Quantum Computation --
Optical Hybrid Quantum Information Processing -- Microwave Photonics on a Chip: Superconducting Circuits as Artificial Atoms for Quantum Information Processing.- Achievements and Outlook of Research on Quantum Information Systems using
Superconducting Quantum Circuits -- Parametric amplifier and oscillator based on Josephson junction circuitry -- Superconductor-Diamond Hybrid Quantum System -- Spin Qubits with Semiconductor Quantum Dots -- Silicon Quantum Information
Processing -- Quantum Information Processing Experiments using Nuclear and Electron Spins in Molecules -- Molecular Spin Qubits: Molecular Optimization of Synthetic Spin Qubits, Molecular Spin AQC and Ensemble Spin Manipulation
Technology
ISBN:9784431557562
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Physics: 911
Keywords: Physics , Computers , Quantum computers , Quantum physics , Quantum optics , Spintronics , Physics , Quantum Information Technology, Spintronics , Quantum Physics , Theory of Computation , Quantum Optics , Quantum Computing
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Call number:SPRINGER-2016-9783319323770:ONLINE Show nearby items on shelf
Title:Pi: The Next Generation A Sourcebook on the Recent History of Pi and Its Computation
Author(s): David H Bailey
Date:2016
Size:1 online resource (507 p.)
Note:10.1007/978-3-319-32377-0
Contents:Foreword -- Preface -- Introduction -- Computation of pi using arithmetic-geometric mean -- Fast multiple-precision evaluation of elementary functions -- The arithmetic-geometric mean of Gauss -- The arithmetic-geometric mean and fast computation of elementary functions -- A simplified version of the fast algorithms of Brent and Salamin -- Is pi normal? -- The computation of pi to 29,360,000 decimal digits using Borweins' quartically convergent algorithm -- Gauss, Landen, Ramanujan, the arithmetic-g eometric mean, ellipses, pi, and the ladies diary -- Vectorization of multiple-precision arithmetic program and 201,326,000 decimal digits of pi calculation.-Ramanujan and pi -- 11. Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi -- Pi, Euler numbers, and asymptotic expansions -- A spigot algorithm for the digits of pi -- On the rapid computation of various polylogarithmic constants -- Similarities in irrationality proofs for pi, ln 2, ζ(2),
and ζ(3) -- Unbounded spigot algorithms for the digits of pi -- Mathematics by experiment: Plausible reasoning in the 21st century -- Approximations to pi derived from integrals with nonnegative integrands -- Ramanujan's series for 1/π: A survey - - The computation of previously inaccessible digits of π2 and Catalan's constant -- Walking on real numbers -- Birth, growth and computation of pi to ten trillion digits -- Pi day is upon us again and we still do not know if pi is normal -- The Life of p i -- I prefer pi: A brief mathematical history and anthology of articles in the American Mathematical Monthly -- Bibliography -- Index
ISBN:9783319323770
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer mathematics , History , Number theory , Mathematics , Computational Mathematics and Numerical Analysis , Number Theory , History of Mathematical Sciences
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Call number:SPRINGER-2016-9783319226200:ONLINE Show nearby items on shelf
Title:Resummation and Renormalization in Effective Theories of Particle Physics
Author(s): Antal Jakovác
Date:2016
Edition:1st ed. 2016
Size:1 online resource (13 p.)
Note:10.1007/978-3-319-22620-0
Contents:Effective Theories From Nuclear to Particle Physics -- Finite Temperature Field Theories: Review -- Divergences in the Perturbation Theory -- Optimized Perturbation Theory -- The Large-N Expansion -- Dimensional Reduction and Infrared
Improved Treatment of Finite Temperature Transitions -- Thermodynamics of Strong Matter -- Finite Temperature Restoration of the Brout-Englert-Higgs Effect -- The Spectral Function.- Computation of the Basic Diagrams -- Integrals
Relevant for Dimensional Reduction
ISBN:9783319226200
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Physics: 912
Keywords: Physics , Mathematical physics , Quantum field theory , String theory , Elementary particles (Physics) , Physics , Elementary Particles, Quantum Field Theory , Quantum Field Theories, String Theory , Mathematical Applications in the Physical Sciences , Mathematical Physics
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Call number:SPRINGER-2016-9781493930289:ONLINE Show nearby items on shelf
Title:Linear Canonical Transforms Theory and Applications
Author(s):
Date:2016
Size:1 online resource (26 p.)
Note:10.1007/978-1-4939-3028-9
Contents:Foreward -- PART I : Fundamentals -- Development of linear canonical transforms – a historical sketch -- The linear canonical transformation: definition and properties -- Eigenfunctions of the linear canonical transform -- Uncertainty
principles and the linear canonical transform -- The linear canonical transformations in classical optics -- Optical Implementation of Linear Canonical Transforms -- PART II : Discretization and Computation -- Linear canonical domains
and degrees of freedom of signals and systems -- Sampling and discrete linear canonical transforms -- Self-imaging and discrete paraxial optics -- Fast algorithms for digital computation of linear canonical transforms -- PART III :
Applications -- Deterministic phase retrieval using the LCT -- Analyzing digital holographic systems with the LCT -- Double random phase encoding based optical encryption systems using some linear canonical transforms: weaknesses and
countermeasures -- Complex valued ABCD Matrices -- Linear canonical transforms on quantum states of light
ISBN:9781493930289
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Series in Optical Sciences: 198
Keywords: Physics , Integral transforms , Operational calculus , Optics , Electrodynamics , Microwaves , Optical engineering , Physics , Optics and Electrodynamics , Microwaves, RF and Optical Engineering , Integral Transforms, Operational Calculus , Numerical and Computational Physics
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Call number:SPRINGER-2014-9784431549741:ONLINE Show nearby items on shelf
Title:Applied Data-Centric Social Sciences [electronic resource] : Concepts, Data, Computation, and Theory
Author(s): Aki-Hiro Sato
Date:2014
Publisher:Tokyo : Springer Japan : Imprint: Springer
Size:1 online resource
Note:Applied data-centric social sciences aim to develop both methodology and practical applications of various fields of social sciences and businesses with rich data. Specifically, in the social sciences, a vast amount of data onhuman activities may be useful for understanding collective human nature. In this book, the author introduces several mathematical techniques for handling a huge volume of data and analysing collective human behaviour. The book isconstructed from data-oriented investigation, wit h mathematical methods and expressions used for dealing with data for several specific problems. The fundamental philosophy underlying the book is that both mathematical and physicalconcepts are determined by the purposes of data analysis. This philosophy is shown throughout exemplar studies of several fields in socio-economic systems. From a data-centric point of view, the author proposes a concept that maychange peoples minds and cause them to start thinking from the basis of data. Several goals underli e the chapters of the book. The first is to describe mathematical and statistical methods for data analysis, and toward that end theauthor delineates methods with actual data in each chapter. The second is to find a cyber-physical link between data and da ta-generating mechanisms, as data are always provided by some kind of data-generating process in the real world.The third goal is to provide an impetus for the concepts and methodology set forth in this book to be applied to socio-economic systems
Contents:Introduction
Introduction
Framework
Methodology
Mathematical expressions
Data in computers
Exemplar studies
Risk assessment of extreme events
Segmentation study of foreign exchange market
Hotel booking data
Tendency of international air travels
Energy consumption
Future work
Future research in applied data
centric social sciences
ISBN:9784431549741
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Economics Statistics
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Call number:SPRINGER-2014-9783642545931:ONLINE Show nearby items on shelf
Title:Neural Fields [electronic resource] : Theory and Applications
Author(s): Stephen Coombes
Peter beim Graben
Roland Potthast
James Wright
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:With this book, the editors present the first comprehensive collection in neural field studies, authored by leading scientists in the field - among them are two of the founding-fathers of neural field theory. Up to now, researchresults in the field h ave been disseminated across a number of distinct journals from mathematics, computational neuroscience, biophysics, cognitive science and others. Starting with a tutorial for novices in neural field studies, thebook comprises chapters on emergent pattern s, their phase transitions and evolution, on stochastic approaches, cortical development, cognition, robotics and computation, large-scale numerical simulations, the coupling of neural fieldsto the electroencephalogram and phase transitions in anesthesia. The intended readership are students and scientists in applied mathematics, theoretical physics, theoretical biology, and computational neuroscience. Neural field theoryand its applications have a long-standing tradition in the mathematical and computati onal neurosciences. Beginning almost 50 years ago with seminal work by Griffiths and culminating in the 1970ties with the models of Wilson and Cowan,Nunez and Amari, this important research area experienced a renaissance during the 1990ties by the groups of Ermentrout, Bressloff, Haken, and Wright. Since then, much progress has been made in both, the development of mathematical andnumerical techniques, and in physiological refinement and understanding. In contrast to large-scale neural network models desc ribed by huge connectivity matrices that are computationally expensive in numerical simulations, neural fieldmodels described by connectivity kernels allow for analytical treatment by means of functional analysis methods. Thus, a number of rigorous result s on the existence of bump and wave solutions or on inverse kernel construction problemsare nowadays available. Moreover, neural fields provide an important interface for the coupling of continuous neur
Contents:Preface
1.Tutorial on Neural Field Theory. S. Coombes, P. beim Graben and R. Potthast
Part I Theory of Neural Fields
2.A Personal Account of the Development of the Field Theory of Large
Scale Brain Activity from 1945 Onward. J. Cowan
3.HeavisideWorld: Excitation and Self
Organization of Neural Fields. Shun
ichi Amari
4.Spatiotemporal Pattern Formation in Neural Fields with Linear Adaptation. G.B. Ermentrout, S.E. Folias and Z.P. Kilpatrick
5.PDE Methods for Two
Dimensional Neural Fields. C.R. Laing
6.Numerical Simulation Scheme of One
and Two Dimensional Neural Fields Inv
ISBN:9783642545931
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Functional analysis , Integral equations , Consciousness
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Call number:SPRINGER-2014-9783642407543:ONLINE Show nearby items on shelf
Title:Linear Programming Computation [electronic resource]
Author(s): Ping-Qi PAN
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:With emphasis on computation, this book is a real breakthrough in the field of LP. In addition to conventional topics, such as the simplex method, duality, and interior-point methods, all deduced in a fresh and clear manner, itintroduces the state of the art by highlighting brand-new and advanced results, including efficient pivot rules, Phase-I approaches, reduced simplex methods, deficient-basis methods, face methods, and pivotal interior-point methods. Inparticular, it covers the determination of the optimal solution set, feasible-point simplex method, decomposition principle for solving large-scale problems, controlled-branch method based on generalized reduced simplex framework forsolving integer LP problems
Contents:Introduction
Geometry of the Feasible Region
Simplex Method
Duality principle and dual simplex method
Implementation of the Simplex Method
Sensitivity Analysis and Parametric LP
Variants of the Simplex Method
Decomposition Method
Interior Point Method
Integer Linear Programming (ILP)
Pivot Rule
Dual Pivot Rule
Simplex Phase
I Method
Dual Simplex Phase
l Method
Reduced Simplex Method
Improved Reduced Simplex Method
D
Reduced Simplex Method
Criss
Cross Simplex Method
Generalizing Reduced Simplex Method
Deficient
Basis Method
Dual Defici
ISBN:9783642407543
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Economics
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Call number:SPRINGER-2014-9783319095318:ONLINE Show nearby items on shelf
Title:Translational Recurrences [electronic resource] : From Mathematical Theory to Real-World Applications
Author(s): Norbert Marwan
Michael Riley
Alessandro Giuliani
Jr. Webber Charles L
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book features 13 papers presented at the Fifth International Symposium on Recurrence Plots, held August 2013 in Chicago, IL. It examines recent applications and developments in recurrence plots and recurrence quantifi cationanalysis (RQA) with s pecial emphasis on biological and cognitive systems and the analysis of coupled systems using cross-recurrence methods. Readers will discover new applications and insights into a range of systems provided byrecurrence plot analysis and new theoretical and mathematical developments in recurrence plots. Recurrence plot based analysis is a powerful tool that operates on real-world complex systems that are nonlinear, non-stationary, noisy, ofany statistical distribution, free of any particular model type, and not particularly long. Quantitative analyses promote the detection of system state changes, synchronized dynamical regimes, or classifi cation of system states. Th ebook will be of interest to an interdisciplinary audience of recurrence plot users and re searchers interested in time series analysis of complex systems in general
Contents:1 A Recurrence Plot
based Distance Measure: S. Spiegel et al
2 Fast computation of recurrences in long time series: T. Rawald et al
3 Unthresholded recurrence plots for complex
valued representations of narrow band signals: A. Sipers et al
4 Quantifying redundancy and information content of lines in recurrence plots using the theory of framework rigidity: A. Sipers et al
5 Recent advances in non
stationary signal processing based on Recurrence Plot Analysis concept: C. Ioana et al
6 A Recurrence
Based Approach for Feature Extraction in Brain
Computer Interface Systems: L.F.S
ISBN:9783319095318
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v103
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Visualization , Mathematical statistics
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Call number:SPRINGER-2014-9783319081533:ONLINE Show nearby items on shelf
Title:Algebraic K-theory of Crystallographic Groups [electronic resource] : The Three-Dimensional Splitting Case
Author(s): Daniel Scott Farley
Ivonne Johanna Ortiz
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the algebraic K-theory of a group using a generalized homology theory. In cases where the conjecture is known to be a theorem, it gives apowerful method for comput ing the lower algebraic K-theory of a group. This book contains a computation of the lower algebraic K-theory of the split three-dimensional crystallographic groups, a geometrically important class ofthree-dimensional crystallographic group, representing a third of the total number. The book leads the reader through all aspects of the calculation. The first chapters describe the split crystallographic groups and their classifyingspaces. Later chapters assemble the techniques that are needed to apply the i somorphism theorem. The result is a useful starting point for researchers who are interested in the computational side of the Farrell-Jones isomorphismconjecture, and a contribution to the growing literature in the field
ISBN:9783319081533
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Mathematics, 0075-8434 : v2113
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Group theory , K-theory , Cell aggregation Mathematics
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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-2014-9783319054469:ONLINE Show nearby items on shelf
Title:Perspectives in Computational Complexity [electronic resource] : The Somenath Biswas Anniversary Volume
Author(s): Manindra Agrawal
Vikraman Arvind
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:This book brings together contributions by leading researchers in computational complexity theory written in honor of Somenath Biswas on the occasion of his sixtieth birthday. They discuss current trends and exciting developmentsin this flourishing a rea of research and offer fresh perspectives on various aspects of complexity theory. The topics covered include arithmetic circuit complexity, lower bounds and polynomial identity testing, the isomorphismconjecture, space-bounded computation, graph isomo rphism, resolution and proof complexity, entropy and randomness. Several chapters have a tutorial flavor. The aim is to make recent research in these topics accessible to graduatestudents and senior undergraduates in computer science and mathematics. It c an also be useful as a resource for teaching advanced level courses in computational complexity
Contents:Preface
1. Complexity Theory Basics: NP and NL (Vikraman Arvind)
2. Investigations Concerning the Structure of Complete Sets (Eric Allender)
3. Space Complexity of the Directed Reachability Problem Over Surface
embedded Graphs (N.V. Vinodchandran)
4. Algebraic Complexity Classes (Meena Mahajan)
5. A Selection of Lower Bound Results for Arithmetic Circuits (Neeraj Kayal and Ramprasad Saptharishi)
6. Explicit Tensors (Markus Blser)
7. Progress on Polynomial Identity Testing (Nitin Saxena)
8. Malod and the Pascaline (Bruno Poizat)
9. A Tutorial in Time and Space Bound
ISBN:9783319054469
Series:eBooks
Series:SpringerLink
Series:Progress in Computer Science and Applied Logic : v26
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Logic, Symbolic and mathematical
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Call number:SPRINGER-2014-9783319040998:ONLINE Show nearby items on shelf
Title:Topological Methods in Data Analysis and Visualization III [electronic resource] : Theory, Algorithms, and Applications
Author(s): Peer-Timo Bremer
Ingrid Hotz
Valerio Pascucci
Ronald Peikert
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This collection of peer-reviewed conference papers provides comprehensive coverage of cutting-edge research in topological approaches to data analysis and visualization. It encompasses the full range of new algorithms andinsights, including fast homo logy computation, comparative analysis of simplification techniques, and key applications in materials and medical science. The volume also features material on core research challenges such as therepresentation of large and complex datasets and integrati ng numerical methods with robust combinatorial algorithms. Reflecting the focus of the TopoInVis 2013 conference, the contributions evince the progress currently being made onfinding experimental solutions to open problems in the sector. They provide an i nclusive snapshot of state-of-the-art research that enables researchers to keep abreast of the latest developments and provides a foundation for futureprogress. With papers by some of the worlds leading experts in topological techniques, this volume is a major contribution to the literature in a field of growing importance with applications in disciplines that range fromengineering to medicine
Contents:Part I Robust Topological Analysis: 1 Robust Detection of Singularities in Vector Fields: H. Bhatia, A. Gyulassy, H. Wang, P
T. Bremer and V. Pascucci
2 Interpreting Feature Tracking Through the Lens of Robustness: P. Skraba and B. Wang
3 Simplification of Morse Decompositions using Morse Set Mergers: L. Sipeki and A. Szymczak
4 Toward the Extraction of Saddle Periodic Orbits: J. Kasten, J. Reininghaus, W. Reich and G. Scheuermann
Part II Efficient Computation of Topology
5 Computational Topology via Functional Programming: A Baseline Analysis: D. Duke and H. Carr
6 Distribu
ISBN:9783319040998
Series:eBooks
Series:SpringerLink
Series:Mathematics and Visualization, 1612-3786
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer vision , Optical pattern recognition , Global analysis (Mathematics) , Visualization , Geometry , Topology
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Call number:SPRINGER-2014-9783319038476:ONLINE Show nearby items on shelf
Title:Computations with Modular Forms [electronic resource] : Proceedings of a Summer School and Conference, Heidelberg, August/September 2011
Author(s): Gebhard Bckle
Gabor Wiese
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg. A key theme of theConference and Summer School was the interplay between theory, algorithms and experiment. The 14 papers offer readers both, instructional courses on the latest algorithms for computing modular and automorphic forms, as well as originalresearch articles reporting on the latest develop ments in the field. The three Summer School lectures provide an introduction to modern algorithms together with some theoretical background for computations of and with modular forms,including computing cohomology of arithmetic groups, algebraic automorph ic forms, and overconvergent modular symbols. The 11 Conference papers cover a wide range of themes related to computations with modular forms, including latticemethods for algebraic modular forms on classical groups, a generalization of the Maeda conject ure, an efficient algorithm for special values of p-adic Rankin triple product L-functions, arithmetic aspects and experimental data ofBianchi groups, a theoretical study of the real Jacobian of modular curves, results on computing weight one modular form s, and more
Contents:Part I Summer School: Lectures on Computing Cohomology of Arithmetic Groups by P.E. Gunnells
Computing with Algebraic Automorphic Forms by D. Loeffler
Overconvergent Modular Symbols by R. Pollack
Part II Conference and Research Contributions: Congruence Subgroups, Cusps and Manin Symbols over Number Fields by J. E. Cremona and M. T. Arans
Computing Weight One Modular Forms over C and Fp by K. Buzzard
Lattice Methods for Algebraic Modular Forms on Classical Groups by M. Greenberg and J. Voight
Efficient Computation of Rankin p
Adic L
Functions by A.G.B. Lauder
Formes Modu
ISBN:9783319038476
Series:eBooks
Series:SpringerLink
Series:Contributions in Mathematical and Computational Sciences, 2191-303X : v6
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Geometry, algebraic , Algorithms , Number theory
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Call number:SPRINGER-2014-9783319037622:ONLINE Show nearby items on shelf
Title:Data Analysis [electronic resource] : Statistical and Computational Methods for Scientists and Engineers
Author(s): Siegmund Brandt
Date:2014
Edition:4th ed. 2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The fourth edition of this successful textbook presents a comprehensive introduction to statistical and numerical methods for the evaluation of empirical and experimental data. Equal weight is given to statistical theory andpractical problems. The co ncise mathematical treatment of the subject matter is illustrated by many examples, and for the present edition a library of Java programs has been developed. It comprises methods of numerical data analysisand graphical representation as well as many exam ple programs and solutions to programming problems. The programs (source code, Java classes, and documentation) and extensive appendices to the main text are available for free downloadfrom the books page at www.springer.com. Contents Probabilities. Rando m variables. Random numbers and the Monte Carlo Method. Statistical distributions (binomial, Gauss, Poisson). Samples. Statistical tests. Maximum Likelihood.Least Squares. Regression. Minimization. Analysis of Variance. Time series analysis. Audience The book is conceived both as an introduction and as a work of reference. In particular it addresses itself to students, scientists andpractitioners in science and engineering as a help in the analysis of their data in laboratory courses, working for bachelor or master degrees, in thesis work, and in research and professional work. The book is concise, but gives asufficiently rigorous mathematical treatment of practical statistical methods for data analysis it can be of great use to all who are involved with data analysis. Physicalia This lively and erudite treatise covers the theory ofthe main statistical tools and their practical applicationsa first rate university textbook, and good background material for the practicing physicist. Physics Bulletin The Aut hor Siegmund Brandt is Emeritus Professor of Physicsat the University of Siegen. With his group he worked on experiments in elementary-particle physics at the research centers DESY in
Contents:Introduction
Probabilities
Random Variables: Distributions
Computer
Generated Random Numbers: The Monte Carlo Method
Some Important Distributions and Theorems
Samples
The Method of Maximum Likelihood
Testing Statistical Hypotheses
The Method of Least Squares
Function Minimization
Analysis of Variance
Linear and Polynomial Regression
Time
Series Analysis
A) Matrix Calculations
B) Combinatorics
C) Formulas and Methods for the Computation of Statistical Functions
D) The Gamma Function and Related Functions: Methods and Programs for their Computation
ISBN:9783319037622
Series:eBooks
Series:SpringerLink
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry Mathematics , Mathematical physics , Engineering mathematics
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Call number:SPRINGER-2014-9783319018874:ONLINE Show nearby items on shelf
Title:Essays on the Frontiers of Modern Astrophysics and Cosmology [electronic resource]
Author(s): Santhosh Mathew
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book is a collection of engaging and intriguing essays that describe an intellectual journey from the beginning to the end of universe. It is the product of an ongoing effort to know our place in the universe and share withreaders the underpinni ngs of the magnificent cosmos where we are given a chance to exist only very briefly. The essays incorporate a group of challenging ideas that modern physics and cosmology are struggling to understand, in a uniqueway that incorporates mythological, religi ous, and philosophical perspectives. The author relies on a simple and powerful philosophy that we are part of the universe and the universe is part of us. This wonderful collection ofessays provides a journey through the current frontiers of modern astr ophysics and cosmology. Its depiction of the most important unsolved mysteries about our place in the Universe is peppered with original insights and philosophicalperspectives, making it an intellectual treat. Avi Loeb, Professor, Harvard University Chai r, Astronomy Department Director, Institute for Theory and Computation In these essays, Santhosh Mathew combines an impressive knowledgeof physics with an eye to its connection to Eastern philosophy as well as its relevance to our life in modern times. I n his thoughtful investigation of natural phenomena and their relationship to universal philosophical truths, hetakes up where The Tao of Physics leaves off. You may well find his keen curiosity about the natural world and our place in it infectious. Car ole Bugge (C. E. Lawrence), author of Strings In this informative assemblage ofengaging essays Santhosh Mathew takes the reader on a deeply human quest for truth, a truly inspiring journey that boldly addresses the big questions of what the Universe is, how it came into being, and where it may be heading. Thisexciting adventure is as much a rich scientific history of elegant physics, mathematics, and cosmology as it is a philosophical and
Contents:Genesis of Genesis
Parallel Universes
Once Upon a Time There Was No Time or Space
Whats the Matter with Anti
matter?
Playing with Light
Dark forces in the Universe
Is This Universe Infinite?
Holographic Universe Ultimate Illusion
Mind Over Matter
The Spooky World of Quantum Entanglement
Hadron Collider Passport to the Universe
Theory of Everything
Are We Alone?
The End of Everything
ISBN:9783319018874
Series:eBooks
Series:SpringerLink
Series:Springer Praxis Books
Series:Physics and Astronomy (Springer-11651)
Keywords: Science Philosophy , Astronomy
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Call number:SPRINGER-2014-9783319013008:ONLINE Show nearby items on shelf
Title:Current Challenges in Stability Issues for Numerical Differential Equations [electronic resource] : Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi
Author(s): Wolf-Jrgen Beyn
Luca Dieci
Nicola Guglielmi
Ernst Hairer
Jess Mara Sanz-Serna
Marino Zennaro
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This volume addresses some of the research areas in the general field of stability studies for differential equations, with emphasis on issues of concern for numerical studies. Topics considered include: (i) the long timeintegration of Hamiltonian Or dinary DEs and highly oscillatory systems, (ii) connection between stochastic DEs and geometric integration using the Markov chain Monte Carlo method, (iii) computation of dynamic patterns in evolutionarypartial DEs, (iv) decomposition of matrices dependi ng on parameters and localization of singularities, and (v) uniform stability analysis for time dependent linear initial value problems of ODEs. The problems considered in this volumeare of interest to people working on numerical as well as qualitative as pects of differential equations, and it will serve both as a reference and as an entry point into further research
Contents:Studies on current challenges in stability issues for numerical differential equations
Long
Term Stability of Symmetric Partitioned Linear Multistep Methods
Markov Chain Monte Carlo and Numerical Differential Equations
Stability and Computation of Dynamic Patterns in PDEs
Continuous Decompositions and Coalescing Eigen values for Matrices Depending on Parameters
Stability of linear problems: joint spectral radius of sets of matrices
ISBN:9783319013008
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Mathematics, 0075-8434 : v2082
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Differential Equations , Differential equations, partial , Computer science Mathematics , Algorithms
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Call number:SPRINGER-2014-9783319007625:ONLINE Show nearby items on shelf
Title:Beyond Standard Model Phenomenology at the LHC [electronic resource]
Author(s): Priscila de Aquino
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This thesis provides an introduction to the physics of the Standard Model and beyond, and to the methods used to analyse Large Hadron Collider (LHC) data. The 'hierarchy problem', astrophysical data and experiments on neutrinosindicate that new physi cs can be expected at the now accessible TeV scale. This work investigates extensions of the Standard Model with gravitons and gravitinos (in the context of supergravity). The production of these particles inassociation with jets is studied as one of the most promising avenues for researching new physics at the LHC. Advanced simulation techniques and tools, such as algorithms allowing the computation of Feynman graphs and helicityamplitudes are first developed and then employed
Contents:Introduction
The Standard Model
Gravitation in Beyond Standard Model theories
The LHC and collision simulations
Phenomenology of graviton production
Gravitino production at the LHC
Epilogue
Massless graviton implementation
New routines for ADD theories in MadGraph
ALOHA
ISBN:9783319007625
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-2014-9783319002125:ONLINE Show nearby items on shelf
Title:Lectures on Complex Integration [electronic resource]
Author(s): A. O Gogolin
Elena G Tsitsishvili
Andreas Komnik
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The theory of complex functions is a strikingly beautiful and powerful area of mathematics. Some particularly fascinating examples are seemingly complicated integrals which are effortlessly computed after reshaping them intointegrals along contours, as well as apparently difficult differential and integral equations, which can be elegantly solved using similar methods. To use them is sometimes routine but in many cases it borders on an art. The goal ofthe book is to introduce the reader to this beaut iful area of mathematics and to teach him or her how to use these methods to solve a variety of problems ranging from computation of integrals to solving difficult integral equations.This is done with a help of numerous examples and problems with detailed solutions
Contents:Basics
Hypergeometric series with applications
Integral equations
Orthogonal polynomials
Solutions to the problems
ISBN:9783319002125
Series:eBooks
Series:SpringerLink
Series:Undergraduate Lecture Notes in Physics, 2192-4791
Series:Physics and Astronomy (Springer-11651)
Keywords: Functions of complex variables
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Call number:SPRINGER-2014-9781461487753:ONLINE Show nearby items on shelf
Title:Statistical Modeling and Computation [electronic resource]
Author(s): Dirk P Kroese
Joshua C.C. Chan
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This textbook on statistical modeling and statistical inference will assist advanced undergraduate and graduate students. Statistical Modeling and Computationprovides a unique introduction to modern Statistics from bothclassical and Bayesian perspect ives. It also offersan integrated treatment of Mathematical Statistics and modern statistical computation, emphasizing statistical modeling, computational techniques, and applications. Each of the threeparts will cover topics essential to university cours es. Part I covers the fundamentals of probability theory. In Part II, the authors introduce a wide variety of classical models that include, among others, linear regression and ANOVAmodels. In Part III,the authorsaddress the statistical analysis and compu tation of various advanced models, such as generalized linear, state-space and Gaussian models. Particular attention is paid to fast Monte Carlo techniquesfor Bayesian inference on these models. Throughout the book the authorsinclude a large number of ill ustrative examples and solved problems. The book also features a section with solutions, an appendix that serves as a MATLAB primer,and a mathematical supplement
Contents:Probability Models
Random Variables and Probability Distributions
Joint Distributions
Common Statistical Models
Statistical Inference
Likelihood
Monte Carlo Sampling
Bayesian Inference
Generalized Linear Models
Dependent Data Models
State Space Models
References
Solutions
MATLAB Primer
Mathematical Supplement
Index
ISBN:9781461487753
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Mathematical statistics
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Call number:SPRINGER-2014-9781461483793:ONLINE Show nearby items on shelf
Title:Theory of Fuzzy Computation [electronic resource]
Author(s): Apostolos Syropoulos
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This book provides the first full length exploration of fuzzy computability. It describes the notion of fuzziness and features the basic ideas of computability theory. It then presents the various approaches to fuzzycomputability. This text provides a glimpse into the different approaches in this area, which is important for researchers in order to have a clear view of the field. It contains a detailed literature review and includes all proofs tomake the presentation accessible. Ideas for future rese arch and explorations are also provided. Students and researchers in computer science and mathematics will benefit from this work
Contents:Introduction
A Prcis of Classical Computability Theory
Elements of Fuzzy Set Theory
On Fuzzy Turing Machines
Other Fuzzy Models of Computation
Appendix A: Computing with Words
Appendix B: The Rough Sets Approach
References
Subject Index
Name Index
ISBN:9781461483793
Series:eBooks
Series:SpringerLink
Series:IFSR International Series on Systems Science and Engineering, 1574-0463 : v31
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Computer science Mathematics
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Call number:SPRINGER-2013-9783642350825:ONLINE Show nearby items on shelf
Title:Nonequilibrium Green's Functions Approach to Inhomogeneous Systems [electronic resource]
Author(s): Karsten Balzer
Michael Bonitz
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This research monograph provides a pedagogical and self-contained introduction to non-equilibrium quantum particle dynamics for inhomogeneous systems, including a survey of recent breakthroughs pioneered by the authors and othergroups. The theoretica l approach is based on real-time Greens functions (Keldysh Greens functions), directly solving the two-time Kadanoff-Baym equations (KBE). This field has seen a rapid development over the last decade, withnew applications emerging in plasma physics, semic onductor optics and transport, nuclear matter and high-energy physics. This text will be a valuable starting point and reference work for graduate students and researchers interestedin the quantum dynamics of inhomogeneous systems
Note:Springer eBooks
Contents:Part I Introduction
Quantum Many
Particle Systems out of Equilibrium
Part II Theory
Nonequilibrium Green`s Functions
Part III Computational Methods
Representations of the Nonequilibrium Green`s Function
Computation of Equilibrium States and Time
Propatation
Part IV Applications for Inhomogeneous Systems
Lattice Systems
Non
Lattics Systems
Conclusion and Outlook
Second Quantization
Perturbation Expansion
Index
ISBN:9783642350825
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v867
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory , Mathematical physics
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Call number:SPRINGER-2013-9783642341410:ONLINE Show nearby items on shelf
Title:Innovations for Shape Analysis [electronic resource] : Models and Algorithms
Author(s): Michael Breu
Alfred Bruckstein
Petros Maragos
Date:2013
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 concept of 'shape' is at the heart of image processing and computer vision, yet researchers still have some way to go to replicate the human brain's ability to extrapolate meaning from the most basic of outlines. This volumereflects the advances of the last decade, which have also opened up tough new challenges in image processing. Today's applications require flexible models as well as efficient, mathematically justified algorithms that allow dataprocessing within an acceptable timeframe. Examin ing important topics in continuous-scale and discrete modeling, as well as in modern algorithms, the book is the product of a key seminar focused on innovations in the field. It is athorough introduction to the latest technology, especially given the tuto rial style of a number of chapters. It also succeeds in identifying promising avenues for future research. The topics covered include mathematical morphology,skeletonization, statistical shape modeling, continuous-scale shape models such as partial differ ential equations and the theory of discrete shape descriptors. Some authors highlight new areas of enquiry such as partite skeletons,multi-component shapes, deformable shape models, and the use of distance fields. Combining the latest theoretical analysis with cutting-edge applications, this book will attract both academics and engineers
Note:Springer eBooks
Contents:Part I Discrete Shape Analysis: 1 Modeling Three
Dimensional Morse and Morse
Smale Complexes by L. omi et al
2 Geodesic Regression and its Application to Shape Analysis by P.Th.Fletcher
3 Segmentation and Skeletonization on Arbitrary Graphs Using Multiscale Morphology and Active Contours by P.Maragos and K.Drakopoulos
4 Refined Homotopic Thinning Algorithms and Quality Measures for Skeletonisation Methods by P.Peter and M.Breu
5 Nested Sphere Statistics of Skeletal Models by S.M.Pizer et al
6 3D Curve Skeleton Computation and Use for Discrete Shape Analysis by G.Sanniti di
ISBN:9783642341410
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Visualization, 1612-3786
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer vision , Computer science Mathematics , Visualization
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Call number:SPRINGER-2013-9783319026909:ONLINE Show nearby items on shelf
Title:Advances in Dynamic Games [electronic resource] : Theory, Applications, and Numerical Methods
Author(s): Vlastimil Kivan
Georges Zaccour
Date:2013
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This contributed volume focuses on aspects of dynamic game theory including differential games, evolutionary games, and stochastic games. It covers theoretical developments, algorithmic methods, and applications to fields asvaried as mathematical bio logy, environmental management, economics, engineering, guidance and control, and social interaction. It will be of interest to an interdisciplinary audience of researchers, practitioners, and advancedgraduate students. Advances in Dynamic Games presents state-of-the-art research that serves as a testament to the vitality and growth of the field of dynamic games and their applications. Its contributions, written by experts in theirrespective disciplines, are outgrowths of presentations originally given at the 15th International Symposium of Dynamic Games and Applications held July 1922, 2012, in Byice, Czech Republic
Note:Springer eBooks
Contents:Part I Dynamic Games: Theory and Computation
1 Relative Value Iteration for Stochastic Differential Games
2 OPTGAME3: A Dynamic Game Solver and an Economic Example
3 Dynamic Programming Approach to Aircraft Control in a Windshear
4 Existence of Optimal Controls for a Bi
Level Optimal Control Problem
5 Static Linear
Quadratic Gaussian Games
6 Interior Convergence Under Payoff Monotone Selections and Proper Equilibrium: Application to Equilibrium Selection
Part II Dynamic Games: Applications
7 Should a Retailer Support a Quality Improvements Strategy?
8 A Large Populat
ISBN:9783319026909
Series:e-books
Series:SpringerLink (Online service)
Series:Annals of the International Society of Dynamic Games : v13
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Engineering mathematics , Economics, Mathematical
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Call number:SPRINGER-2013-9783319014487:ONLINE Show nearby items on shelf
Title:Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces [electronic resource]
Author(s): Silvestru Sever Dragomir
Date:2013
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Aimed toward researchers, postgraduate students, and scientists in linear operator theory and mathematical inequalities, this self-contained monograph focuses on numerical radius inequalities for bounded linear operators oncomplex Hilbert spaces for the case of one and two operators. Students at the graduate level will learn some essentials that may be useful for reference in courses in functional analysis, operator theory, differential equations, andquantum computation, to name several. Chapter 1 pr esents fundamental facts about the numerical range and the numerical radius of bounded linear operators in Hilbert spaces. Chapter 2 illustrates recent results obtained concerningnumerical radius and norm inequalities for one operator on a complex Hilbert space, as well as some special vector inequalities in inner product spaces due to Buzano, Goldstein, RyffandClarke as well as some reverse Schwarzinequalities and Grss type inequalities obtained by the author. Chapter 3 presents recent results regarding the norms and the numerical radii of two bounded linear operators. The techniques shown in this chapterare elementary butelegant and may be accessible to undergraduate students with a working knowledge of operator theory.A number of vector inequalities in inner product spaces as well as inequalities for means of nonnegative real numbers are alsoemployed in this chapter. All the results presented are completely proved and the original references are mentioned
Note:Springer eBooks
Contents:1. Introduction
2.Inequalities for One Operator
3.Inequalities for Two Operators
ISBN:9783319014487
Series:e-books
Series:SpringerLink (Online service)
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Operator theory , Differential Equations
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Call number:SPRINGER-2013-9783319009667:ONLINE Show nearby items on shelf
Title:Mathematics, Computer Science and Logic - A Never Ending Story [electronic resource] : The Bruno Buchberger Festschrift
Author(s): Peter Paule
Date:2013
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book presents four mathematical essays which explore the foundations of mathematics and related topics ranging from philosophy and logic to modern computer mathematics. While connected to the historical evolution of theseconcepts, the essays pla ce strong emphasis on developments still to come. The book originated in a 2002 symposium celebrating the work of Bruno Buchberger, Professor of Computer Mathematics at Johannes Kepler University, Linz, Austria,on the occasion of his 60th birthday. Among many other accomplishments, Professor Buchberger in 1985 was the founding editor of the Journal of Symbolic Computation the founder of the Research Institute for Symbolic Computation (RISC)and its chairman from 1987-2000 the founder in 1990 of the Softwar epark Hagenberg, Austria, and since then its director. More than a decade in the making, Mathematics, Computer Science and Logic - A Never Ending Story includes essaysby leading authorities, on such topics as mathematical foundations from the perspective of computer verification a symbolic-computational philosophy and methodology for mathematics the role of logic and algebra in softwareengineering and new directions in the foundations of mathematics. These inspiring essays invite general, mathematically i nterested readers to share state-of-the-art ideas which advance the never ending story of mathematics, computerscience and logic. Mathematics, Computer Science and Logic - A Never Ending Story is edited by Professor Peter Paule, Bruno Buchbergers successo r as director of the Research Institute for Symbolic Computation
Note:Springer eBooks
Contents:Preface
Henk Barendregt: Foundations of Mathematics from the Perspective of Computer Verification
Manfred Broy: On the Role of Logic and Algebra in Software Engineering
Stephen Wolfram: New Directions in the Foundations of Mathematics (2002)
Doron Zeilberger: Towards a Symbolic Computational Philosophy (and Methodology!) for Mathematics
ISBN:9783319009667
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Software engineering , Information theory , Algorithms , Computer software , Logic, Symbolic and mathematical
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Call number:SPRINGER-2013-9783319003955:ONLINE Show nearby items on shelf
Title:Proceedings of the European Conference on Complex Systems 2012 [electronic resource]
Author(s): Thomas Gilbert
Markus Kirkilionis
Gregoire Nicolis
Date:2013
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The European Conference on Complex Systems, held under the patronage of the Complex Systems Society, is an annual event that has become the leading European conference devoted to complexity science. ECCS'12, its ninth edition,took place in Brussels, during the first week of September 2012. It gathered about 650 scholars representing a wide range of topics relating to complex systems research, with emphasis on interdisciplinary approaches. More specifically,the following tracks were covered: 1. Founda tions of Complex Systems 2. Complexity, Information and Computation 3. Prediction, Policy and Planning, Environment 4. Biological Complexity 5. Interacting Populations, Collective Behavior6. Social Systems, Economics and Finance This book contains a selec tion of the contributions presented at the conference and its satellite meetings. Its contents reflect the extent, diversity and richness of research areas in thefield, both fundamental and applied.
Note:Springer eBooks
Contents:Part I. Foundations of Complex Systems
Part II. Complexity, Information and Computation
Part III. Prediction, Policy and Planning, Environment
Part IV. Biological Complexity
Part V. Interacting Populations, Collective Behavior
Part VI. Social Systems, Economics and Finance
Part VII. Contributions to Satellite Meetings
VII.a. Complexity in Spatial Dynamics
VII.B. Space
Time Phases
VII.C. Complex Dynamics in Cellular Systems
VII.D. Information Processing with Recurrent Dynamical Systems: Theory and Experiment
VII.E. Complexity in the Real World
From Policy Inte
ISBN:9783319003955
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Complexity, 2213-8684
Series:Physics and Astronomy (Springer-11651)
Keywords: Biological models , Statistics , Engineering , Economics, Mathematical
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Call number:SPRINGER-2013-9783319002576:ONLINE Show nearby items on shelf
Title:The Classification of the Virtually Cyclic Subgroups of the Sphere Braid Groups [electronic resource]
Author(s): Daciberg Lima Goncalves
John Guaschi
Date:2013
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This manuscript is devoted to classifying the isomorphism classes of the virtually cyclic subgroups of the braid groups of the 2-sphere. As well as enabling us to understand better the global structure of these groups, it marks animportant step in th e computation of the K-theory of their group rings. The classification itself is somewhat intricate, due to the rich structure of the finite subgroups of these braid groups, and is achieved by an in-depth analysisof their group-theoretical and topological properties, such as their centralisers, normalisers and cohomological periodicity. Another important aspect of our work is the close relationship of the braid groups with mapping class groups.This manuscript will serve as a reference for the study of bra id groups of low-genus surfaces, and isaddressed to graduate students and researchers in low-dimensional, geometric and algebraic topology and in algebra
Note:Springer eBooks
Contents:Introduction and statement of the main results
Virtually cyclic groups: generalities, reduction and the mapping class group
Realisation of the elements of V1(n) and V2(n) in Bn(S2)
Appendix: The subgroups of the binary polyhedral groups
References.
ISBN:9783319002576
Series:e-books
Series:SpringerLink (Online service)
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Group theory , Algebraic topology
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Call number:SPRINGER-2013-9781461482598:ONLINE Show nearby items on shelf
Title:Prolate Spheroidal Wave Functions of Order Zero [electronic resource] : Mathematical Tools for Bandlimited Approximation
Author(s): Andrei Osipov
Vladimir Rokhlin
Hong Xiao
Date:2013
Publisher:Boston, MA : Springer US : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension. As such, they play an important role in signal processing, Fourier analysis, and approximation theory. Whilehistorically the numerical eval uation of PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as any other class of special functions. As a result, PSWFs havebeen becoming a popular computational tool. The present book serves as a complete, self-contained resource for both theory and computation. It will be of interest to a wide range of scientists and engineers, from mathematiciansinterested in PSWF as an analytical tool to electrical engineers designing filters and antennas
Note:Springer eBooks
Contents:Introduction
Mathematical and Numerical Preliminaries
Overview
Analysis of the Differential Operator
Analysis of the Integral Operator
Rational Approximations of PSWFs
Miscellaneous Properties of PSWFs
Asymptotic Analysis of PSWFs
Quadrature Rules and Interpolation via PSWFs
Numerical Algorithms
ISBN:9781461482598
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v187
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Numerical analysis , Engineering mathematics
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Call number:SPRINGER-2013-9781461474289:ONLINE Show nearby items on shelf
Title:Statistical Methods for Dynamic Treatment Regimes [electronic resource] : Reinforcement Learning, Causal Inference, and Personalized Medicine
Author(s): Bibhas Chakraborty
Erica E.M Moodie
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:Statistical Methods for Dynamic Treatment Regimes shares state of the art of statistical methods developed to address questions of estimation and inference for dynamic treatment regimes, a branch of personalized medicine. Thisvolume demonstrates thes e methods with their conceptual underpinnings and illustration through analysis of real and simulated data. These methods are immediately applicable to the practice of personalized medicine, which is a medicalparadigm that emphasizes the systematic use of individual patient information to optimize patient health care. This is the first single source to provide an overview of methodology and results gathered from journals, proceedings, andtechnical reports with the goal of orienting researchers to the fiel d. The first chapter establishes context for the statistical reader in the landscape of personalized medicine. Readers need only have familiarity with elementarycalculus, linear algebra, and basic large-sample theory to use this text. Throughout the text, authors direct readers to available code or packages in different statistical languages to facilitate implementation. In cases where codedoes not already exist, the authors provide analytic approaches in sufficient detail that any researcher with knowled ge of statistical programming could implement the methods from scratch. This will be an important volume for a widerange of researchers, including statisticians, epidemiologists, medical researchers, and machine learning researchers interested in medical applications. Advanced graduate students in statistics and biostatistics will also findmaterial in Statistical Methods for Dynamic Treatment Regimes to be a critical part of their studies
Note:Springer eBooks
Contents:Introduction
The Data: Observational Studies and Sequentially Randomized Trials
Statistical Reinforcement Learning
Estimation of Optimal DTRs by Modeling Contrasts of Conditional Mean Outcomes
Estimation of Optimal DTRs by Directly Modeling Regimes
G
computation: Parametric Estimation of Optimal DTRs
Estimation DTRs for Alternative Outcome Types
Inference and Non
regularity
Additional Considerations and Final Thoughts
Glossary
Index
References
ISBN:9781461474289
Series:e-books
Series:SpringerLink (Online service)
Series:Statistics for Biology and Health, 1431-8776
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Medical records Data processing
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Call number:SPRINGER-2013-9781461463634:ONLINE Show nearby items on shelf
Title:Design of Experiments in Nonlinear Models [electronic resource] : Asymptotic Normality, Optimality Criteria and Small-Sample Properties
Author(s): Luc Pronzato
Andrej Pzman
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:Design of Experiments in Nonlinear Models: Asymptotic Normality, Optimality Criteria and Small-Sample Properties provides a comprehensivecoverage of the various aspects of experimental design for nonlinear models. The bookcontains original contributi ons to the theory of optimal experiments that will interest students and researchers in the field. Practitionners motivated by applications will find valuable tools to help them designing theirexperiments. The first three chapters expose theconnections be tween the asymptotic properties of estimators in parametric models and experimental design, with more emphasis than usual on some particular aspects like the estimationof a nonlinear function of the model parameters,models with heteroscedastic errors, etc . Classical optimality criteriabased on those asymptotic properties are then presented thoroughly in a special chapter. Three chapters arededicated to specificissues raised by nonlinear models. The construction of designcriteria derived from non-asymptoti c considerations (small-sample situation) is detailed. The connection between design andidentifiability/estimability issues is investigated. Several approaches are presented to face the problem caused by the dependence of an optimal design on the value of the parameters to be estimated. A survey of algorithmic methodsfor the construction of optimal designs is provided
Note:Springer eBooks
Contents:Introduction
Asymptotic designs and uniform convergence. Asymptotic properties of the LS estimator
Asymptotic properties of M, ML and maximum a posteriori estimators
Local optimality criteria based on asymptotic normality
Criteria based on the small
sample precision of the LS estimator
Identifiability, estimability and extended optimality criteria
Nonlocal optimum design
Algorithmsa survey
Subdifferentials and subgradients
Computation of derivatives through sensitivity functions
Proofs
Symbols and notation
List of labeled assumptions
References
ISBN:9781461463634
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Statistics, 0930-0325 : v212
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics
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Call number:SPRINGER-2013-9781461463368:ONLINE Show nearby items on shelf
Title:Quantum Walks and Search Algorithms [electronic resource]
Author(s): Renato Portugal
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 book addresses an interesting area of quantum computation called quantum walks, which play an important role in building quantum algorithms, in particular search algorithms. Quantum walks are the quantum analogue of classicalrandom walks. It is known that quantum computers have great power for searching unsorted databases. This power extends to many kinds of searches, particularly to the problem of finding a specific location in a spatial layout, which canbe modeled by a graph. The goal is to fi nd a specific node knowing that the particle uses the edges to jump from one node to the next. This book is self-contained with main topics that include: Grover's algorithm, describing itsgeometrical interpretation and evolution by means of the spectral d ecomposition of the evolution operater Analytical solutions of quantum walks on important graphs like line, cycles, two-dimensional lattices, and hypercubes usingFourier transforms Quantum walks on generic graphs, describing methods to calculate the limit ing distribution and mixing time Spatial search algorithms, with emphasis on the abstract search algorithm (the two-dimensional lattice isused as an example) Szedgedy's quantum-walk model and a natural definition of quantum hitting time (the complete grap h is used as an example) The reader will benefit from the pedagogical aspects of the book, learning faster and withmore ease than would be possible from the primary research literature. Exercises and references further deepen the reader's understanding, a nd guidelines for the use of computer programs to simulate the evolution of quantum walks arealso provided
Note:Springer eBooks
Contents:Introduction
The Postulates of Quantum Mechanics
Introduction to Quantum Walks
Grover's Algorithm and its Generalization
Quantum Walks on Infinite Graphs
Quantum Walks on Finite Graphs
Limiting Distribution and Mixing Time
Spatial Algorithms
Hitting Time
Appendix: Linear Algebra for Quantum Computation
ISBN:9781461463368
Series:e-books
Series:SpringerLink (Online service)
Series:Quantum Science and Technology
Series:Physics and Astronomy (Springer-11651)
Keywords: Information theory , Quantum theory
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Call number:SPRINGER-2013-9781447148173:ONLINE Show nearby items on shelf
Title:Polyhedral and Algebraic Methods in Computational Geometry [electronic resource]
Author(s): Michael Joswig
Thorsten Theobald
Date:2013
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
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Note:Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementaryalgebraic geometry. The f irst part of the book studies classical problems and techniquesthat refer to polyhedral structures. The authors include a study on algorithms for computing convex hulls as well as the construction ofVoronoi diagrams and Delone triangulations. The second p art of the book develops the primary concepts of (non-linear) computational algebraic geometry. Here, the book looks at Grbner bases and solving systems of polynomialequations. The theory is illustrated by applications in computer graphics, curve reconstr uction and robotics. Throughout the book, interconnections between computational geometry and other disciplines (such as algebraic geometry,optimization and numerical mathematics) are established. Polyhedral and Algebraic Methods in Computational Geometry is directed towards advanced undergraduates in mathematics and computer science, as well as towards engineeringstudents who are interested in the applications of computational geometry
Note:Springer eBooks
Contents:Introduction and Overview
Geometric Fundamentals
Polytopes and Polyhedra
Linear Programming
Computation of Convex Hulls
Voronoi Diagrams
Delone Triangulations
Algebraic and Geometric Foundations
Grbner Bases and Buchbergers Algorithm
Solving Systems of Polynomial Equations Using Grbner Bases
Reconstruction of Curves
Plcker Coordinates and Lines in Space
Applications of Non
Linear Computational Geometry
Algebraic Structures
Separation Theorems
Algorithms and Complexity
Software
Notation
ISBN:9781447148173
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Algebra Data processing , Algorithms , Geometry , Discrete groups
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Call number:SPRINGER-2012-9789491216657:ONLINE Show nearby items on shelf
Title:Instruction Sequences for Computer Science [electronic resource]
Author(s): Jan A Bergstra
Cornelis A Middelburg
Date:2012
Publisher:Paris : Atlantis Press : Imprint: Atlantis Press
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book demonstrates that the concept of an instruction sequence offers a novel and useful viewpoint on issues relating to diverse subjects in computer science. Selected issues relating to well-known subjects from the theory ofcomputation and the a rea of computer architecture are rigorously investigated in this book thinking in terms of instruction sequences. The subjects from the theory of computation, to wit the halting problem and non-uniformcomputational complexity, are usually investigated thi nking in terms of a common model of computation such as Turing machines and Boolean circuits. The subjects from the area of computer architecture, to wit instruction sequenceperformance, instruction set architectures and remote instruction processing, are usually not investigated in a rigorous way at all
Note:Springer eBooks
Contents:Introduction
Instruction Sequences
Instruction Processing
Expressiveness of Instruction Sequences
Computation
Theoretic Issues
Computer
Architectural Issues
Instruction Sequences and Process Algebra
Variations on a Theme
Appendix A: Five Challenges for Projectionism
Appendix B: Natural Number Functional Units
Appendix C: Dynamically Instantiated Instructions
Appendix D: Analytic Execution Architectures
ISBN:9789491216657
Series:e-books
Series:SpringerLink (Online service)
Series:Atlantis Studies in Computing, 2212-8557 : v2
Series:Mathematics and Statistics (Springer-11649)
Keywords: Computer science , Computer network architectures , Logic design
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Call number:SPRINGER-2012-9789400726369:ONLINE Show nearby items on shelf
Title:The Linear Algebra a Beginning Graduate Student Ought to Know [electronic resource]
Author(s): Jonathan S Golan
Date:2012
Edition:3rd ed. 2012
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as to computer science, to the physical, biological, and social sciences, and toengineering. It encompa sses an extensive corpus of theoretical results as well as a large and rapidly-growing body of computational techniques. Unfortunately, in the past decade, the content of linear algebra courses required tocomplete an undergraduate degree in mathematics ha s been depleted to the extent that they fail to provide a sufficient theoretical or computational background. Students are not only less able to formulate or even follow mathematicalproofs, they are also less able to understand the mathematics of the nume rical algorithms they need for applications. Certainly, the material presented in the average undergraduate course is insufficient for graduate study. This bookis intended to fill the gap which has developed by providing enough theoretical and computation al material to allow the advanced undergraduate or beginning graduate student to overcome this deficiency and be able to work independentlyor in advanced courses. The book is intended to be used either as a self-study guide, a textbook for a course in adv anced linear algebra, or as a reference book. It is also designed to prepare a student for the linear algebra portionof prelim exams or PhD qualifying exams. The volume is self-contained to the extent that it does not assume any previous formal knowledge of linear algebra, though the reader is assumed to have been exposed, at least informally, tosome of the basic ideas and techniques, such as manipulation of small matrices and the solution of small systems of linear equations over the real numbers. More i mportantly, it assumes a seriousness of purpose, considerable motivation,and a modicum of mathematical sophistication on the part of the reader. In the latest edition, new major theorems have been added
Note:Springer eBooks
ISBN:9789400726369
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Electronic data processing , Algebra , Matrix theory , Algorithms
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Call number:SPRINGER-2012-9783642296055:ONLINE Show nearby items on shelf
Title:Collisional Narrowing and Dynamical Decoupling in a Dense Ensemble of Cold Atoms [electronic resource]
Author(s): Yoav Sagi
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:Ultra-cold atomic ensembles have emerged in recent years as a powerful tool in many-body physics research, quantum information science and metrology. This thesis presents an experimental and theoretical study of the coherentproperties of trapped atom ic ensembles at high densities, which are essential to many of the aforementioned applications. The study focuses on how inter-particle interactions modify the ensemble coherence dynamics, and whether it ispossible to extend the coherence time by means of external control. The thesis presents a theoretical model which explains the effect of elastic collision of the coherence dynamics and then reports on experiments which test this modelsuccessfully in the lab. Furthermore, the work includes the first impl ementation of dynamical decoupling with ultra-cold atomic ensembles. It is demonstrated experimentally that by using dynamical decoupling the coherence time can beextended 20-fold. This has a great potential to increase the usefulness of these ensembles f or quantum computation
Note:Springer eBooks
Contents:The Experimental Setup
Theoretical Framework
Spectral Narrowing due to Elastic Collisions
The Ensemble Spectrum with an Arbitrary Detuning Distribution
Motional Broadening in Ensembles with Heavy
tail Detuning Distribution
Suppression of Collisional Decoherence by Dynamical Decoupling
ISBN:9783642296055
Series:e-books
Series:SpringerLink (Online service)
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-2012-9783642288210:ONLINE Show nearby items on shelf
Title:Essays in Mathematics and its Applications [electronic resource] : In Honor of Stephen Smales 80th Birthday
Author(s): Panos M Pardalos
Themistocles M Rassias
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 volume is dedicated to Stephen Smale on the occasion of his 80th birthday. Besides his startling 1960 result of the proof of the Poincar conjecture for all dimensions greater than or equal to five, Smales ground breakingcontributions invarious fi elds in Mathematics have marked the second part of the 20th century and beyond. Stephen Smale has done pioneering work in differential topology, global analysis, dynamical systems, nonlinear functionalanalysis, numerical analysis, theory of computation an d machine learning as well as applications in the physical and biological sciences and economics. In sum, Stephen Smale has manifestly broken the barriers among the different fieldsof mathematics and dispelled some remaining prejudices. He is indeed a uni versal mathematician. Smale has been honored with several prizes and honorary degrees including, among others, the Fields Medal(1966), The Veblen Prize (1966),the National Medal of Science (1996) and theWolf Prize (2006/2007)
Note:Springer eBooks
Contents:Preface
Transitivity and Topological Mixing for C1 Diffeomorphisms
Recent Results on the Size of Critical Sets
The FoxLi operator as a Test and a Spur for WienerHopf Theory
Kahler Metrics with Cone Singularities along a Divisor
The Space of Framed functions is Contractible
Quantum Gravity via Manifold Positivity
Parabolic Explosions in Families of Complex Polynomials
Super Stable Kahlerian Horseshoe?
A Smooth Multivariate Interpolation Algorithm
Bifurcations of Solutions of the 2
Dimensional Navier
Stokes System
Arnold Diffusion by Variational Methods
Turnin
ISBN:9783642288210
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization , Operations research
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Call number:SPRINGER-2012-9783642258961:ONLINE Show nearby items on shelf
Title:Computational Fluid Dynamics Based on the Unified Coordinates [electronic resource]
Author(s): Wai-How Hui
Kun Xu
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:Computational Fluid Dynamics Based on the Unified Coordinates reviews the relative advantages and drawbacks of Eulerian and Lagrangian coordinates as well as the Arbitrary Lagrangian-Eulerian (ALE) and various moving meshmethods in Computational Flui d Dynamics (CFD) for one- and multi-dimensional flows. It then systematically introduces the unified coordinate approach to CFD, illustrated with numerous examples and comparisons to clarify its relationwith existing approaches. The book is intended for r esearchers and practitioners in the field of Computational Fluid Dynamics. Emeritus Professor Wai-Hou Hui and Professor Kun Xu both work at the Department of Mathematics of the HongKong University of Science & Technology, China
Note:Springer eBooks
Contents:Derivation of Conservation Law Equations
Review of Eulerian Computation for One
dimensional Flow
One
Dimensional Flow Computation Using the Unified Coordinates
Comments on Current Methods for Multi
Dimensional Flow Computation
The Unified Coordinates Formulation of CFD
Properties of the Unified Coordinates
Lagrangian Gas Dynamics
Steady 2
D and 3
D Supersonic Flow
Unsteady 2
D and 3
D Flow Computation
Viscous Flow Computation
Applications of the Unified Coordinates to Kinetic Theory
ISBN:9783642258961
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Electronic data processing , Computer science Mathematics
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Call number:SPRINGER-2012-9783642257469:ONLINE Show nearby items on shelf
Title:Numerical Methods in Finance [electronic resource] : Bordeaux, June 2010
Author(s): Ren A Carmona
Pierre Del Moral
Peng Hu
Nadia Oudjane
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Numerical methods in finance have emerged as a vital field at the crossroads of probability theory, finance and numerical analysis. Based on presentations given at the workshop Numerical Methods in Finance held at the INRIABordeaux (France) on June 1 -2, 2010, this book provides an overview of the major new advances in the numerical treatment of instruments with American exercises. Naturally it covers the most recent research on the mathematical theoryand the practical applications of optimal stopping problems as they relate to financial applications. By extension, it also provides an original treatment of Monte Carlo methods for the recursive computation of conditional expectationsand solutions of BSDEs and generalized multiple optimal stopping probl ems and their applications to the valuation of energy derivatives and assets. The articles were carefully written in a pedagogical style and a reasonablyself-contained manner. The book is geared toward quantitative analysts, probabilists, and applied math ematicians interested in financial applications
Note:Springer eBooks
Contents:Part I: Particle Methods in Finance
1 R. Carmona, P. Del Moral, P. Hu, N, Oudjane: An Introduction to Particle Methods with Financial Applications
2.Bhojnarine R. Rambharat: American option valuation with particle filters
3.Michael Ludkovski: Monte Carlo Methods for Adaptive Disorder Problems
Part II: Numerical methods for backward conditional expectations
4.Pierre Del Moral, Bruno Rmillard, Sylvain Rubenthale: Monte Carlo approximations of American options that preserve monotonicity and convexity
5.Bruno Rmillard, Alexandre Hocquard, Hugues Langlois, and Nicolas Papageor
ISBN:9783642257469
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics, 2190-5614 : v12
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance , Distribution (Probability theory)
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Call number:SPRINGER-2012-9783642234767:ONLINE Show nearby items on shelf
Title:The Universe as Automaton [electronic resource]
Author(s): Klaus Mainzer
Leon Chua
Date:2012
Publisher:Springer Berlin Heidelberg
Size:1 online resource
Note:Brief
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9783642234767
Series:SpringerBriefs in Complexity
Series:e-books
Keywords: Statistical Physics, Dynamical Systems and Complexity , Artificial Intelligence (incl. Robotics) , Complexity , Theory of Computation , Neurobiology
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Call number:SPRINGER-2012-9783642224539:ONLINE Show nearby items on shelf
Title:Scientific Computing in Electrical Engineering SCEE 2010 [electronic resource]
Author(s): Bastiaan Michielsen
Jean-Ren Poirier
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Selected from papers presented at the 8th Scientific Computation in Electrical Engineering conference in Toulouse in 2010, the contributions to this volume cover every angle of numerically modelling electronic and electricalsystems, including computa tional electromagnetics, circuit theory and simulation and device modelling. On computational electromagnetics, the chapters examine cutting-edge material ranging from low-frequency electrical machinemodelling problems to issues in high-frequency scatteri ng. Regarding circuit theory and simulation, the book details the most advanced techniques for modelling networks with many thousands of components. Modelling devices atmicroscopic levels is covered by a number of fundamental mathematical physics papers, while numerous papers on model order reduction help engineers and systems designers to bring their modelling of industrial-scale systems within thereach of present-day computational power. Complementing these more specific papers, the volume also contains a selection of mathematical methods which can be used in any application domain
Note:Springer eBooks
Contents:Introduction
PartI Mathematical Methods
Part II Computational Electromagnetics
Part III Coupled Problems
Part IV Circuit and Device Modelling & Simulation
Part V Model Order Reduction
Index
ISBN:9783642224539
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics in Industry, 1612-3956 : v16
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Engineering mathematics
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Call number:SPRINGER-2012-9783034802918:ONLINE Show nearby items on shelf
Title:Modern Optimization Modelling Techniques [electronic resource]
Author(s): Roberto Cominetti
Francisco Facchinei
Jean B Lasserre
Date:2012
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book contains an expanded version of three series of lectures delivered by the authors at the CRM in July 2009. The theory of optimization, understood in a broad sense, is the basis of modern applied mathematics, covering alarge spectrum of topi cs from theoretical considerations (structure, stability) to applied operational research and engineering applications. The compiled material of this book puts on display this versatility, by exhibiting the threeparallel and complementary components of op timization: theory, algorithms, and practical problems. The first part is a self-contained course on the general moment problem and its relations with semidefinite programming. The second partis dedicated to the problem of determination of Nash equilibria from an algorithmic viewpoint. The last part presents congestion models for traffic networks and develops modern optimization techniques for finding traffic equilibriabased on stochastic optimization and game theory
Note:Springer eBooks
Contents:Part I: Moments and Positive Polynomials for Optimization by Jean B. Lasserre
Part II: Computation of Generalized Nash Equilibria: Recent Advancements by Francisco Facchinei
Part III: Equilibrium and Learning in Traffic Networks by Roberto Cominetti
ISBN:9783034802918
Series:e-books
Series:SpringerLink (Online service)
Series:Advanced Courses in Mathematics - CRM Barcelona
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2012-9781461442530:ONLINE Show nearby items on shelf
Title:An Introduction to Modern Mathematical Computing [electronic resource] With Mathematica
Author(s): Jonathan M Borwein
Matthew P Skerritt
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:Thirty years ago, mathematical computation was difficult to perform and thus used sparingly. However, mathematical computation has become far more accessible due to the emergence of the personal computer, the discovery offiber-optics and the conseque nt development of the modern internet, and the creation of Maple, Mathematica, andMatlab. An Introduction to Modern Mathematical Computing: With Mathematica looks beyond teaching the syntax andsemantics of Mathematica and similar programs, and focuses on why they are necessary tools for anyone who engages in mathematics. It is an essential read for mathematicians, mathematics educators, computer scientists, engineers,scientists, and anyone who wishes to expand their knowledge of mathematics. This volume w ill also explain how to become an experimental mathematician, and will supply useful information about how to create better proofs. The textcovers material in elementary number theory, calculus, multivariable calculus, introductory linear algebra, and vis ualization and interactive geometric computation. It is intended for upper-undergraduate students, and as a referenceguide for anyone who wishes to learn to use the Mathematica program. Also by J.M. Borwein and M.B. Skerritt: An Introduction to Modern Mat hematical Computing: With Maple, 2011, ISBN: 978-1-4614-0121-6, 216 p. and 81 colorillustrations
Note:Springer eBooks
Contents:Preface
Conventions and Notation
1. Number Theory
2. Calculus
3. Linear Algebra
4. Visualisation and Geometry: a Postscript
Sample Quizzes
Index
References
ISBN:9781461442530
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 simulation , Computer science Mathematics , Computer software
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Call number:SPRINGER-2012-9781461431190:ONLINE Show nearby items on shelf
Title:Rainbow Connections of Graphs [electronic resource]
Author(s): Xueliang Li
Yuefang Sun
Date:2012
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Rainbow connections are natural combinatorial measures that are used in applications to secure the transfer of classified information between agencies incommunication networks. Rainbow Connections of Graphs covers this new andemerging topicin graph t heory and brings together a majority of the results that deal with the concept of rainbow connections, first introduced by Chartrand et al. in 2006. The authors begin with an introduction to rainbowconnectedness, rainbow coloring,and rainbow connection nu mber. The work is organized into the followingcategories,computation of the exact valuesof the rainbow connection numbers for some special graphs, algorithms andcomplexity analysis, upper bounds in terms of other graph parameters,rainbow connection for de nse and sparse graphs, for some graph classes andgraph products, rainbow k-connectivity and k-rainbow index, and, rainbowvertex-connection number. Rainbow Connections of Graphs appeals to researchers and graduate students in the field of graph theory. Con jectures, open problems and questions are given throughout the text with the hope for motivatingyoung graph theorists and graduate students to do further study in this subject
Note:Springer eBooks
Contents:1. Introduction (Motivation and definitions, Terminology and notations)
2. (Strong) Rainbow connection number(Basic results, Upper bounds for rainbow connection number, For some graph classes, For dense and sparse graphs, For graph operations, An upper bound for strong rainbow connectionnumber)
3. Rainbow k
connectivity
4. k
rainbow index
5. Rainbow vertex
connection number
6. Algorithms and computational complexity
References
ISBN:9781461431190
Series:e-books
Series:SpringerLink (Online service)
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Data structures (Computer science) , Number theory
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Call number:SPRINGER-2012-9781461418092:ONLINE Show nearby items on shelf
Title:Algebraic Geometry over the Complex Numbers [electronic resource]
Author(s): Donu Arapura
Date:2012
Publisher:Boston, MA : Springer US
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This textbook is a strong addition to existing introductory literature on algebraic geometry. The authors treatment combines the study of algebraic geometry with differential and complex geometry and unifies these subjectsusing sheaf-theoretic ideas. It is also an ideal text for showing students the connections between algebraic geometry, complex geometry, and topology, and brings the reader close to the forefront of research in Hodge theory and relatedfields. Unique features of this textbook: - Cont ains a rapid introduction to complex algebraic geometry - Includes background material on topology, manifold theory and sheaf theory - Analytic and algebraic approaches are developedsomewhat in parallel The presentation is easy going, elementary, and well illustrated with examples. Algebraic Geometry over the Complex Numbers is intended for graduate level courses in algebraic geometry and related fields. Itcan be used as a main text for a second semester graduate course in algebraic geometry with emphasis on sheaf theoretical methods or a more advanced graduate course on algebraic geometry and Hodge Theory
Note:Springer eBooks
Contents:Preface
1. Plane Curves
2. Manifolds and Varieties via Sheaves
3. More Sheaf Theory
4. Sheaf Cohomology
5. de Rham Cohomoloy of Manifolds
6. Riemann Surfaces
7. Simplicial Methods
8. The Hodge Theorem for Riemann Manifolds
9. Toward Hodge Theory for Complex Manifolds
10. Kahler Manifolds
11. A Little Algebraic Surface Theory
12. Hodge Structures and Homological Methods
13. Topology of Families
14. The Hard Lefschez Theorem
15. Coherent Sheaves
16. Computation of Coherent Sheaves
17. Computation of some Hodge numbers
18. Deformation Invarian
ISBN:9781461418092
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Differential equations, partial , Topology
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Call number:SPRINGER-2012-9781461412380:ONLINE Show nearby items on shelf
Title:Behavioral Research Data Analysis with R [electronic resource]
Author(s): Yuelin Li
Jonathan Baron
Date:2012
Edition:1
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book is written for behavioral scientists who want to consider adding R to their existing set of statistical tools, or want to switch to R as their main computation tool. The authors aim primarily to help practitioners ofbehavioral research make the transition to R. The focus is to provide practical advice on some of the widely-used statistical methods in behavioral research, using a set of notes and annotated examples. The book will also helpbeginners learn more about statistics and behavioral research. These are statistical techniques used by psychologists who do research on human subjects, but of course they are also relevant to researchers in others fields that dosimilar kinds of research. The authors emphasize practical data analytic skills so that readers can quickly incorporated the data in their own research
Note:Springer eBooks
Contents:Introduction
Reading and Transformting Data Format
Statistics for Comparing Means and Proportions
R Graphics and Trellis Plots
Analysis of Variance
Linear and Logistic Regression
Statistical Power and Sample Size Considerations
Item Response Theory
Imputation of Missing Data
Linear Mixed Effects Models in Analyzing Repeated Measures Data
Linear Mixed Effects Models in Cluster Randomized Studies
ISBN:9781461412380
Series:e-books
Series:SpringerLink (Online service)
Series:Use R!
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
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Call number:SPRINGER-2012-9781447129189:ONLINE Show nearby items on shelf
Title:Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles [electronic resource]
Author(s): Maoan Han
Pei Yu
Date:2012
Publisher:London : Springer London
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solutions to problems. Hopfbifurcation from a center o r a focus is integral to the theory of bifurcation of limit cycles, for which normal form theory is a central tool. Although Hopf bifurcation has been studied for more than half a century, and normal formtheory for over 100 years, efficient computation in this area is still a challenge with implications for Hilberts 16th problem. This book introduces the most recent developments in this field and provides major advances infundamental theory of limit cycles. Split into two parts, the first focuses on the s tudy of limit cycles bifurcating from Hopf singularity using normal form theory with later application to Hilberts 16th problem, while the secondconsiders near Hamiltonian systems using Melnikov function as the main mathematical tool. Classic topics with new results are presented in a clear and concise manner and are accompanied by the liberal use of illustrations throughout.Containing a wealth of examples and structured algorithms that are treated in detail, a good balance between theoretical and applied topics is demonstrated. By including complete Maple programs within the text, this book also enablesthe reader to reconstruct the majority of formulas provided, facilitating the use of concrete models for study. Through the adoption of an elementary and practical approach, this book will be of use to graduate mathematics studentswishing to study the theory of limit cycles as well as scientists, across a number of disciplines, with an interest in the applications of periodic behavior
Note:Springer eBooks
Contents:Hopf Bifurcation and Normal Form Computation
Comparison of Methods for Computing Focus Values
Application (I)Hilberts 16th Problem
Application (II)Practical Problems
Fundamental Theory of the Melnikov Function Method
Limit Cycle Bifurcations Near a Center
Limit Cycles Near a Homoclinic or Heteroclinic Loop
Finding More Limit Cycles Using Melnikov Functions
Limit Cycle Bifurcations in Equivariant Systems
ISBN:9781447129189
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v181
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Differential Equations , Computer software
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Call number:SPRINGER-2012-9780817682590:ONLINE Show nearby items on shelf
Title:Numerical Analysis [electronic resource]
Author(s): Walter Gautschi
Date:2012
Edition:Second Edition
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book reads like an unfolding story... Topics are motivated with great care and ingenuity that might be given to establishing the drive behind characters in a good novel... Clarity is never sacrificed for elegance. Above all,the pace is always liv ely and brisk, the writing concise, and the author never lets the exposition bog down... [The book] successfully conveys the author's interest and experience in the subject to the reader. SIAM Review(on theFirst Edition) Revised andupdated, this second ed ition of Walter Gautschi's successful Numerical Analysistextbook explorescomputational methodsfor problems arising in areassuch asclassical analysis, approximation theory,nonlinear equations, and ordinary differential equations. Topics included in the boo k are presented with a view toward stressing basic principles and maintaining simplicity and teachability as far as possible, while subjects requiringa higher level of technicality are referenced in detailed bibliographic notes at the end of each chapter. Readers are thus given the guidance and opportunity to pursue advanced modern topics in more depth. Along with updatedreferences, new biographical notes, and enhanced notational clarity,this second editionincludes the expansion of an alreadylarge collect ion of exercises and assignments, both the kind that deal with theoretical and practicalaspects of the subject and those requiring machine computation and the use of mathematical software. Perhaps most notably, the author has carefully developed and polis hedacomplete solutions manual for this edition, which isavailable through the publisher and will serve as an exceptionally valuable resource for instructors. The text is geared to a one- or two-semester graduate course in numerical analysis for students w ho have a good background incalculus and advanced calculus and some knowledge of linear algebra, complex analysis, and differential equations. Previous exposure to numerical m
Note:Springer eBooks
Contents:Preface to the Second Edition
Preface
Prologue
Chapter 1. Machine Arithmetic and Related Matters
Chapter 2. Approximation and Interpolation
Chapter 3. Numerical Differentiation and Integration
Chapter 4. Nonlinear Equations
Chapter 5. Initial Value Problems for ODEs
One
Step Methods
Chapter 6. Initial Value Problems for ODEs
Multi
Step Methods
Chapter 7. Two
Point Boundary Value Problems for ODEs
References
Subject Index
ISBN:9780817682590
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Differential Equations , Computer science Mathematics , Computer science , Numerical analysis
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
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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
Note:Springer 2013 e-book collections
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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