1.
ＥＢ
edited by Marjorie Senechal
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Preface
I First Steps.-1 Introduction to the Polyhedron Kingdom. Marjorie Senechal- 2 Six Recipes for Making Polyhedra. Marion Walter; Jean Pedersen; MagnusWenninger; Doris Schattschneider; Arthur Loeb; and Eric Demaine, Martin Demaine and Vi Hart
3 Regular and Semiregular Polyhedra. H. S. M. Coxeter
4 Milestones in the History of Polyhedra. Joseph Malkevitch
5 Polyhedra: Surfaces or Solids? Arthur Loeb
6 Dürer's Problem. Joseph O'Rourke
II Polyhedra in Nature and Art
7 Exploring the Polyhedron Kingdom. Marjorie Senechal
8 Spatial Perception and Creativity. Janos Baracs
9 Goldberg Polyhedra. George Hart
10 Polyhedra and Crystal Structures. Chung Chieh
11 Polyhedral Molecular Geometries. Magdolna Hargittai and Istvan Hargittai
12 Form, Function, and Functioning. George Fleck
III Polyhedra in the Geometrical Imagination
13 The Polyhedron Kingdom Tomorrow. Marjorie Senechal
14 Paneled and Molecular Polyhedra: How Stable Are They? Ileana Streinu
15 Duality of Polyhedra. Banko Grünbaum and G. C. Shephard
16 Combinatorial Prototiles. Egon Schulte
17 Polyhedra Analogues of the Platonic Solids. Jörg M. Wills
18 Convex Polyhedra, Dirichlet Tessellations, and Spider Webs. Walter Whiteley with Peter Ash, Ethan Bolker, and Henry Crapo
19 Uniform Polyhedra from Diophantine Equations. Barry Monson
20 Torus Decompositions of Regular Polytopes in 4-space. Thomas F. Banchoff
21 Tensegrities and Global Rigidity. Robert Connelly
22 Ten Problems in Geometry. Günter Ziegler and Moritz Schmitt
Notes and References
Sources, Acknowledgments, and Contributors
Index
Preface
I First Steps.-1 Introduction to the Polyhedron Kingdom. Marjorie Senechal- 2 Six Recipes for Making Polyhedra. Marion Walter; Jean Pedersen; MagnusWenninger; Doris Schattschneider; Arthur Loeb; and Eric Demaine, Martin Demaine and Vi Hart
3 Regular and Semiregular Polyhedra. H. S. M. Coxeter
2.
ＥＢ
edited by Pierre Cardaliaguet, Ross Cressman
目次情報:
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Part I Evolutionary Games
1 Some Generalizations of a Mutual Mate Choice Problem with Age Preferences
2 Signalling Victory to Ensure Dominance: A Continuous Model
3 Evolutionary Games for Multiple Access Control
4 Join Forces or Cheat: Evolutionary Analysis of a Consumer-Resource System
Part II Dynamic and Differential Games: Theoretical Developments
5 Strong Strategic Support of Cooperative Solutions in Differential Games
6 Characterization of Feedback Nash Equilibrium for Differential Games
7 Nash Equilibrium Payoffs in Mixed Strategies
8 A Penalty Method Approach for Open-Loop Variational Games with Equality Constraints
9 Nash Equilibrium Seeking for Dynamic Systems with Non-Quadratic Payoffs
10 A Uniform Tauberian Theorem in Optimal Control
11 E-equilibria for Multicriteria Games
12 Mean Field Games with Quadratic Hamiltonian: A Constructive Scheme
Part III Pursuit-Evasion Games and Search Games
13 Differential Game-Theoretic Approach to a Spatial Jamming Problem
14 Study of Linear Game with Two Pursuers and One Evader: Different Strength of Pursuers
15 Salvo Enhanced No Escape Zone
16 One Method of Solving Differential Games Under Integrally Constrained Controls
17 Anglers' Fishing Problem
18 A Nonzero-Sum Search Game with Two Competitive Searchers and a Target
Part IV Applications of Dynamic Games
19 Advertising and Price to Sustain the Brand Value in a Licensing Contract
20 Cost-Revenue Sharing in a Closed-Loop Supply Chain
Part I Evolutionary Games
1 Some Generalizations of a Mutual Mate Choice Problem with Age Preferences
2 Signalling Victory to Ensure Dominance: A Continuous Model
3.
ＥＢ
by P.V. Ananda Mohan
出版情報:
Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2013
シリーズ名:
Modeling and Simulation in Science, Engineering and Technology ;
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-0-8176-8358-0
所蔵情報:
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目次情報:
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I. Introduction
II. Active RC filters
III. OTA-C filters
IV. SC filters
V. Practical designs of VLSI analog filters
Appendix A
Appendix B.
I. Introduction
II. Active RC filters
III. OTA-C filters
4.
ＥＢ
by Tomaž Pisanski, Brigitte Servatius
目次情報:
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Preface
Introduction
Graphs
Groups, Actions, and Symmetry
Maps
Combinatorial Configurations
Geometric Configurations
Index
Bibliography
Preface
Introduction
Graphs
5.
ＥＢ
by Bruno Cordani
目次情報:
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Preface
List of Figures
1 Introductory Survey
2 Analytical Mechanics and Integrable Systems
3 Perturbation Theory
4 Numerical Tools I: ODE Integration
5 Numerical Tools II: Detecting Order, Chaos, and Resonances
6 The Kepler Problem
7 The KEPLER Program
8 Some Perturbed Keplerian Systems
9 The Multi-Body Gravitational Problem
Bibliography
Index
Preface
List of Figures
1 Introductory Survey
6.
ＥＢ
edited by Peter G. Casazza, Gitta Kutyniok
目次情報:
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Introduction
Constructing Finite Frames with a Given Spectrum.-Spanning and Independence Properties of Finite.-Alegebraic Geometry and Finite Frames
Group Frames
Gabor Framses in Finite Dimensions
Frames as Codes
Quantization and Finite Frames
Finite Frames for Sparse Signal Processing
Finite Frames and Filter Banks
Finite Frame theory in Pure Mathematics
Probabilitstic Frames
Fusion Frames
Introduction
Constructing Finite Frames with a Given Spectrum.-Spanning and Independence Properties of Finite.-Alegebraic Geometry and Finite Frames
Group Frames
7.
ＥＢ
edited by Travis D. Andrews, Radu Balan, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou
目次情報:
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Part 1 Sampling Theory
Unions of Subspaces for Data Modeling and Subspace Clustering
Fusion frames and Unbiased Basic Sequences
Sampling in Spaces of Bandlimited Functions on Commutative Spaces
Smooth Interpolation of Data by Efficient Algorithms
An Overview of Time and Multiband Limiting
A Panorama of Sampling Theory
Part II Remote Sensing
Multistatic Radar Waveforms for Imaging of Moving Targets
Exploitation Performance and Characterization of a Prototype Compressive Sensing Imaging Spectrometer
An Introduction to Hyperspectral Image Data Modeling
Hyperspectral Demixing: Sparse Recovery of Highly Correlated Endmembers
Theory of Passive Synthetic Aperture Imaging
Part III Mathematics of Data Processing
Golay-Rudin-Shapiro Polynomials and Phased Arrays
Multi-Resolution Geometric Analysis for Data in High Dimensions
On the Fourth-Order Structure Function of a Fractal
Harmonic Analysis of Databases and Matrices
The Structure of Sidelobe-Preserving Operator Groups
Zeros of some Self-Reciprocal Polynomials
Part IV Applications of Data Processing
Generalized Mutual Interdependence Analysis of Noisy Channels
Approximation Methods for the Recovery of Shapes and Images from Gradients
FM Perturbations due to Near-Identity Linear Systems
Eddy Current Sensor Signal Processing for Stall Detection
State Dependent Channels: Strong Converse and Bounds on Reliability Function
Part 1 Sampling Theory
Unions of Subspaces for Data Modeling and Subspace Clustering
Fusion frames and Unbiased Basic Sequences
8.
ＥＢ
edited by Travis D. Andrews, Radu Balan, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou
目次情報:
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Part V Measure Theory
Absolute Continuity and Singularity of Measures Without Measure Theory
Visible and Invisible Cantor Sets
Convolution Inequalities for Positive Borel Measures on R^d and Beurling Density
Positive Operator-Valued Measures: A General Setting for Frames
Part VI Filtering
Extending Wavelet Filters, Infinite Dimensions, the Non-Rational Case, and Indefinite-Inner Product Spaces
On the Group-Theoretic Structure of Lifted Filter Banks
Parametric Optimization of Biorthogonal Wavelets and Filterbanks via Pseudoframes for Subspaces
On the Convergence of Iterative Filtering Empirical Mode Decomposition
Wavelet Transforms by Nearest Neighbor Lifting
Part VII Operator Theory
On the Heat Kernel of a Left Invariant Elliptic Operator
Mixed-Norm Estimates for the k-Plane Transform
Representation of Linear Operators by Gabor Multipliers
Extensions of Berezin-Lieb Inequalities
Bilinear Calderon-Zygmund Operators
Weighted Inequalities and Dyadic Harmonic Analysis
Part VIII Biomathematics
Enhancement and Recovery in Atomic Force Micosopy Images
Numerical Harmonic Analysis and Diffusions on the 3D-Motion Group
Quantification of Retinal Chromophores Through Autofluorescence Imaging to Identify Precursors of Age-Related Macular
Simple Harmonic Oscillator Based Reconstruction and Estimation for One-Dimensional q-Space Magnetic Resonance (1D-SHORE)
Fourier Blues: Structural Coloration of Biological Tissues
A Harmonic Analysis View On Neuroscience Imaging
Part V Measure Theory
Absolute Continuity and Singularity of Measures Without Measure Theory
Visible and Invisible Cantor Sets
9.
ＥＢ
by A.A. Kirillov
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Introduction
Part 1. The Sierpiński Gasket
Definition and General Properties
The Laplace Operator on the Sierpiński Gasket.- Harmonic Functions on the Sierpiński Gasket
Part 2. The Apollonian Gasket
Circles and Disks on Spheres
Definition of the Apollonian Gasket
Arithmetic Properties of Apollonian Gaskets
Geometric and Group-Theoretic Approach
Many-Dimensional Apollonian Gaskets
Bibliography
Introduction
Part 1. The Sierpiński Gasket
Definition and General Properties
10.
ＥＢ
by Garret Sobczyk
目次情報:
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1 Modular Number Systems
2 Complex and Hyperbolic Numbers
3 Geometric Algebra
4 Vector Spaces and Matrices
5 Outer Product and Determinants
6 Systems of Linear Equations
7 Linear Transformations on R^n
8 Structure of a Linear Operator
9 Linear and Bilinear Forms
10 Hermitian Inner Product Spaces
11 Geometry of Moving Planes
12 Representations of the Symmetric Group
13 Calculus on m-Surfaces
14 Differential Geometry of Curves
15 Differential Geometry of k-Surfaces
16 Mappings Between Surfaces
17 Non-Euclidean and Projective Geometries
18 Lie Groups and Lie Algebras
References
Symbols
1 Modular Number Systems
2 Complex and Hyperbolic Numbers
3 Geometric Algebra
11.
ＥＢ
by Pierre Bernhard, Jacob C. Engwerda, Berend Roorda, J.M. Schumacher, Vassili Kolokoltsov, Patrick Saint-Pierre, Jean-Pierre Aubin
目次情報:
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Preface
Part I Revisiting Two Classic Results in Dynamic Portfolio Management
Merton’s Optimal Dynamic Portfolio Revisited
Option Pricing: Classic Results
Introduction
Part II Hedging in Interval Models
Fair Price Intervals
Optimal Hedging Under Robust-Cost Constraints
Appendix: Proofs
Continuous and Discrete-Time Option Pricing and Interval Market Model
Part III Robust-Control Approach to Option Pricing
Vanilla Options
Digital Options
Validation
Part IV Game-Theoretic Analysis of Rainbow Options in Incomplete Markets
Emergence of Risk-Neutral Probabilities
Rainbow Options in Discrete Time, I
Rainbow Options in Discrete Time, II
Continuous-Time Limits
Credit Derivatives
Computational Methods Based on the Guaranteed Capture Basin Algorithm
Viability Approach to Complex Option Pricing and Portfolio Insurance
Asset and Liability Insurance Management (ALIM) for Risk Eradication
References
Index.
Preface
Part I Revisiting Two Classic Results in Dynamic Portfolio Management
Merton’s Optimal Dynamic Portfolio Revisited
12.
ＥＢ
by Alison M. Marr, W.D. Wallis
目次情報:
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Preface
List of Figures
Preliminaries
Edge-Magic Total Labelings
Vertex-Magic Total Labelings
Totally Magic Labelings
Magic Type Labeling of Digraphs
Notes on the Research Problems
References
Bibliography
Answers to Selected Exercises
Index
Preface
List of Figures
Preliminaries
13.
ＥＢ
edited by Carlos A. de Moura, Carlos S. Kubrusly
目次情報:
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Foreword
Stability of Different Schemes
Mathematical Intuition: Poincaré, Pólya, Dewey.- Three-dimensional Plasma Arc Simulation using Resistive MHD
A Numerical Algorithm for Ambrosetti-Prodi Type Operators
On the Quadratic Finite Element Approximation of 1-D Waves: Propagation, Observation, Control, and Numerical Implementation
Space-Time Adaptive Mutilresolution Techniques for Compressible Euler Equations
A Framework for Late-time/stiff Relaxation Asymptotics
Is the CFL Condition Sufficient? Some Remarks
Fast Chaotic Artificial Time Integration
Appendix A
Hans Lewy's Recovered String Trio
Appendix B
Appendix C
Appendix D.
Foreword
Stability of Different Schemes
Mathematical Intuition: Poincaré, Pólya, Dewey.- Three-dimensional Plasma Arc Simulation using Resistive MHD
14.
ＥＢ
by Dorina Mitrea, Irina Mitrea, Marius Mitrea, Sylvie Monniaux
目次情報:
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Introduction
Semigroupoids and Groupoids
Quantitative Metrization Theory
Applications to Analysis on Quasi-Metric Spaces
Non-Locally Convex Functional Analysis
Functional Analysis on Quasi-Pseudonormed Groups
References
Symbol Index
Subject Index
Author Index
Introduction
Semigroupoids and Groupoids
Quantitative Metrization Theory
15.
ＥＢ
edited by Julien Barral, Stéphane Seuret
目次情報:
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The Rauzy Gasket
On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets
Hausdorff Dimension and Diophantine Approximation
Singular Integrals on Self-Similar Subsets of Metric Groups
Multivariate Davenport Series
Dimensions of Self-Affine Sets
The Multifractal Spectra of V-Statistics
Projections of Measures Invariant Under the Geodesic Flow
Multifractal Tubes
The Multiplicative Golden Mean Shift has Infinite Hausdorff Measure
The Law of Iterated Logarithm and Equilibrium Measures Versus Hausdorff Measures For Dynamically Semi-Regular Meromorphic Functions
Cookie-Cutter-Like Sets with Graph Directed Construction
Recent Developments on Fractal Properties of Gaussian Random Fields.
The Rauzy Gasket
On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets
Hausdorff Dimension and Diophantine Approximation
16.
ＥＢ
by Volker Michel
目次情報:
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Introduction: the Problem to be Solved
Part I Basics
Basic Fundamentals—What You Need to Know
Approximation of Functions on the Real Line
Part II Approximation on the Sphere
Basic Aspects
Fourier Analysis
Spherical Splines
Spherical Wavelet Analysis
Spherical Slepian Functions
Part III Approximation on the 3D Ball
Orthonormal Bases
Splines
Wavelets for Inverse Problems on the 3D Ball
The Regularized Functional Matching Pursuit (RFMP)
References
Index
Introduction: the Problem to be Solved
Part I Basics
Basic Fundamentals—What You Need to Know
17.
ＥＢ
by Alexander A. Roytvarf
目次情報:
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Preface
Using the Stars on Problems
Understanding the Advanced Skill Requirements
Acknowledgements
Jacobi Identities and Related Combinatorial Formulas
A Property of Recursive Sequences
A Combinatorial Algorithm in Multiexponential Analysis
A Frequently Encountered Determinant.- A Dynamical System with a Strange Attractor
Polar and Singular Value Decomposition Theorems
2x2 Matrices Which Are Roots of Unity
A Property of Orthogonal Matrices
Convexity and Related Classical Inequalities
One-Parameter Groups of Linear Transformations.- Some Problems in Combinatorics and Analysis that can be Explored using Generating Functions
Least Squares and Chebyshev Systems
References
Index of Terms
Preface
Using the Stars on Problems
Understanding the Advanced Skill Requirements
18.
ＥＢ
by Gintautas Dzemyda, Olga Kurasova, Julius Žilinskas
目次情報:
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Preface
1. Multidimensional Data and the Concept of Visualization
2. Strategies for Multidimensional Data Visualization
3. Optimization-Based Visualization
4. Combining Multidimensional Scaling with Artificial Neural Networks
5. Applications of Visualizations
A. Test Data Sets
References
Index
Preface
1. Multidimensional Data and the Concept of Visualization
2. Strategies for Multidimensional Data Visualization
19.
ＥＢ
by Jon Wakefield
目次情報:
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Introduction
Frequentist Inference
Bayesian Inference
Linear Models
Binary Data Models
General Regression Models
Introduction
Frequentist Inference
Bayesian Inference
20.
ＥＢ
by Rubí E. Rodríguez, Irwin Kra, Jane P. Gilman
目次情報:
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Preface to Second Edition
Preface to First Edition
Standard Notation and Commonly Used Symbols
1 The Fundamental Theorem in Complex Function Theory
2 Foundations
3 Power Series
4 The Cauchy Theory - A Fundamental Theorem
5 The Cauchy Theory - Key Consequences
6 Cauchy Theory: Local Behavior and Singularities of Holomorphic Functions
7 Sequences and Series of Holomorphic Functions
8 Conformal Equivalence and Hyperbolic Geometry
9 Harmonic Functions
10 Zeros of Holomorphic Functions
Bibliographical Notes
Bibliography
Index
Preface to Second Edition
Preface to First Edition
Standard Notation and Commonly Used Symbols
21.
ＥＢ
by Mark Longueville
目次情報:
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Preface
List of Symbols and Typical Notation
1 Fair-Division Problems
2 Graph-Coloring Problems
3 Evasiveness of Graph Properties
4 Embedding and Mapping Problems
A Basic Concepts from Graph Theory
B Crash Course in Topology
C Partially Ordered Sets, Order Complexes, and Their Topology
D Groups and Group Actions
E Some Results and Applications from Smith Theory
References
Index
Preface
List of Symbols and Typical Notation
1 Fair-Division Problems
22.
ＥＢ
by Petros Xanthopoulos, Panos M. Pardalos, Theodore B. Trafalis
目次情報:
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1. Introduction
2. Least Squares Problems
3. Principal Component Analysis
4. Linear Discriminant Analysis
5. Support Vector Machines
6. Conclusion
1. Introduction
2. Least Squares Problems
3. Principal Component Analysis
23.
ＥＢ
by Nigel J. Cutland, Alet Roux
目次情報:
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Derivative Pricing and Hedging
A Simple Market Model
Single-Period Models
Multi-Period Models: No-Arbitrage Pricing
Multi-Period Models: Risk-Neutral Pricing
The Cox-Ross-Rubinstein model
American Options
Advanced Topics
Derivative Pricing and Hedging
A Simple Market Model
Single-Period Models
24.
ＥＢ
by Dirk Dalen
目次情報:
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Introduction
Propositional Logic
Predicate Logic
Completeness and Applications
Second Order Logic
Intuitionistic Logic
Normalization
Gödel's theorem
Introduction
Propositional Logic
Predicate Logic
25.
ＥＢ
by Dirk Dalen
目次情報:
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Child and Student
Mathematics and Mysticism
The Dissertation.-Cantor-Schoenflies Topology
The New Topology
Making a Career
The War Years
Mathematics after the War
Politics and Mathematics
The Breakthrough
The Fathers of Dimension
Progress, Recognition, and Frictions
From Berlin to Vienna
The Three Battles
The Thirties
War and Occupation
Post-War Events
The Restless Emeritus
Child and Student
Mathematics and Mysticism
The Dissertation.-Cantor-Schoenflies Topology
26.
ＥＢ
by Eric Lord
目次情報:
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Foundations: the Synthetic Approach
The Analytic Approach
Linear Figures
Quadratic Figures
Cubic Figures
Quartic Figures
Finite Geometries
Foundations: the Synthetic Approach
The Analytic Approach
Linear Figures
27.
ＥＢ
by Michael Joswig, Thorsten Theobald
目次情報:
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Introduction and Overview
Geometric Fundamentals
Polytopes and Polyhedra
Linear Programming
Computation of Convex Hulls
Voronoi Diagrams
Delone Triangulations
Algebraic and Geometric Foundations
Gröbner Bases and Buchberger’s Algorithm
Solving Systems of Polynomial Equations Using Gröbner Bases
Reconstruction of Curves
Plücker Coordinates and Lines in Space
Applications of Non-Linear Computational Geometry
Algebraic Structures
Separation Theorems
Algorithms and Complexity
Software
Notation
Introduction and Overview
Geometric Fundamentals
Polytopes and Polyhedra
28.
ＥＢ
by Francis Clarke
目次情報:
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Normed Spaces
Convex sets and functions
Weak topologies
Convex analysis
Banach spaces
Lebesgue spaces
Hilbert spaces
Additional exercises for Part I
Optimization and multipliers
Generalized gradients
Proximal analysis
Invariance and monotonicity
Additional exercises for Part II
The classical theory
Nonsmooth extremals
Absolutely continuous solutions
The multiplier rule
Nonsmooth Lagrangians
Hamilton-Jacobi methods
Additional exercises for Part III
Multiple integrals
Necessary conditions
Existence and regularity
Inductive methods
Differential inclusions
Additional exercises for Part IV
Normed Spaces
Convex sets and functions
Weak topologies
29.
ＥＢ
by Siegfried Bosch
目次情報:
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Rings and Modules
The Theory of Noetherian Rings
Integral Extensions
Extension of Coefficients and Descent
Homological Methods: Ext and Tor
Affine Schemes and Basic Constructions
Techniques of Global Schemes
Etale and Smooth Morphisms
Projective Schemes and Proper Morphisms
Rings and Modules
The Theory of Noetherian Rings
Integral Extensions
30.
ＥＢ
by Peter Schneider
目次情報:
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Prerequisites in module theory
The Cartan{Brauer triangle
The Brauer character
Green's theory of indecomposable modules
Blocks
Prerequisites in module theory
The Cartan{Brauer triangle
The Brauer character
31.
ＥＢ
by Luis Barreira, Claudia Valls
目次情報:
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Introduction
Basic Notions and Examples
Topological Dynamics
Low-Dimensional Dynamics
Hyperbolic Dynamics I
Hyperbolic Dynamics II
Symbolic Dynamics
Ergodic Theory
Introduction
Basic Notions and Examples
Topological Dynamics
32.
ＥＢ
edited by Kenji Iohara, Sophie Morier-Genoud, Bertrand Rémy
目次情報:
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A presentation of the deformed W1+1 algebra
Generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes
PBW filtration over Z and compatible bases for VZ(_) in type An and Cn
On the subgeneric restricted blocks of affine category O at the critical level
Slavnov determinants, Yang-Mills structure constants, and discrete KP
Monodromy of partial KZ functors for rational Cherednik algebras
Category of finite dimensional modules over an orthosymplectic Lie superalgebra: small rank examples
Monoidal categorifications of cluster algebras of type A and D
A classification of roots of symmetric Kac-Moody root systems and its application
Fermions acting on quasi-local operators in the XXZ model
The Romance of the Ising Model
A(1) n -Geometric Crystal corresponding to Dynkin index i = 2 and its ultra-discretization
A Z3-orbifold theory of lattice vertex operator algebra and Z3-orbifold constructions
Words, automata and Lie theory for tilings
Toward Berenstein-Zelevinsky data in affine type A, part III: Proof of the connectedness
Quiver varieties and tensor products, II
Derivatives of Schur, Tau and Sigma Functions on Abel-Jacobi Images
Padé interpolation for elliptic Painlevé equation
Non-commutative harmonic oscillators
The inversion formula of polylogarithms and the Riemann-Hilbert problem
Some remarks on the Quantum Hall Effect
Ordinary differential equations on rational elliptic surfaces
On the spectral gap of the Kac walk and other binary collision processes on d-dimensional lattice
A restricted sum formula for a q-analogue of multiple zeta values
A trinity of the Borcherds _-function
Sum rule for the eight-vertex model on its combinatorial line
A presentation of the deformed W1+1 algebra
Generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes
PBW filtration over Z and compatible bases for VZ(_) in type An and Cn
33.
ＥＢ
edited by Francesca Biagini, Andreas Richter, Harris Schlesinger
目次情報:
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Weak Closedness of Monotone Sets of Lotteries and Robust Representation of Risk Preferences
Multivariate Concave and Convex Stochastic Dominance
Reliable Quantification and Efficient Estimation of Credit Risk
Diffusion-based models for financial markets without martingale measures
Weak Closedness of Monotone Sets of Lotteries and Robust Representation of Risk Preferences
Multivariate Concave and Convex Stochastic Dominance
Reliable Quantification and Efficient Estimation of Credit Risk
34.
ＥＢ
by Andreas Klein
目次情報:
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Introduction to Stream Ciphers
Linear Feedback Shift Registers
Non-linear Combinations of LFSRs
Correlation Attacks
BDD-Based Attacks
Algebraic Attacks
Irregular Clocked Shift Registers
The Security of Mobile Phones (GSM)
RC4 and Related Ciphers
The eStream Project
The Blum-Blum-Shub Generator and Related Ciphers
Mathematical Background
Part IV Exercises with Solutions
Introduction to Stream Ciphers
Linear Feedback Shift Registers
Non-linear Combinations of LFSRs
35.
ＥＢ
by Boris Makarov, Anatolii Podkorytov
目次情報:
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Measure
The Lebesgue Model
Measurable Functions
The Integral
The Product Measure
Change of Variables in an Integral
Integrals Dependent on a Parameter
Surface Integrals
Approximation and Convolution of the Space
Fourier Series and the Fourier Transform
Charges. The Radon-Nikodym Theory
Integral Representation of Linear Functionals
Appendices
Measure
The Lebesgue Model
Measurable Functions
36.
ＥＢ
by Alexandr A. Borovkov
目次情報:
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Discrete Spaces of Elementary Events
An Arbitrary Space of Elementary Events
Random Variables and Distribution Functions
Numerical Characteristics of Random Variables
Sequences of Independent Trials with Two Outcomes
On Convergence of Random Variables and Distributions
Characteristic Functions
Sequences of Independent Random Variables. Limit Theorems
Large Deviation Probabilities for Sums of Independent Random Variables
Renewal Processes
Properties of the Trajectories of Random Walks. Zero-One Laws
Random Walks and Factorisation Identities
Sequences of Dependent Trials. Markov Chains
Information and Entropy
Martingales
Stationary Sequences
Stochastic Recursive Sequences
Continuous Time Random Processes
Processes with Independent Increments
Functional Limit Theorems
Markov Processes
Processes with Finite Second Moments. Gaussian Processes
Appendices
Discrete Spaces of Elementary Events
An Arbitrary Space of Elementary Events
Random Variables and Distribution Functions
37.
ＥＢ
by Łukasz Delong
目次情報:
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Introduction
Stochastic Calculus
Backward Stochastic Differential Equations – the General Case
Forward-Backward Stochastic Differential Equations
Numerical Methods for FBSDEs
Nonlinear Expectations and g-Expectations
Combined Financial and Insurance Model
Linear BSDEs and Predictable Representations of Insurance Payment Processes
Arbitrage-Free Pricing, Perfect Hedging and Superhedging
Quadratic Pricing and Hedging
Utility Maximization and Indifference Pricing and Hedging
Pricing and Hedging under a Least Favorable Measure
Dynamic Risk Measures
Other Classes of BSDEs
Introduction
Stochastic Calculus
Backward Stochastic Differential Equations – the General Case
38.
ＥＢ
edited by János Pach
目次情報:
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Introduction
1) B. Ábrego - S. Fernández-Merchant - G. Salazar: The rectilinear crossing number of K_n: closing in (or are we?)
2) E. Ackerman: The maximum number of tangencies among convex regions with a triangle-free intersection graph
3) G. Aloupis - B. Ballinger - S. Collette - S. Langerman - A. Pór - D.R.Wood: Blocking coloured point sets
4) M. Al-Jubeh - G. Barequet - M. Ishaque - D. Souvaine - Cs. D. Tóth - A. Winslow: Constrained tri-connected planar straight line graphs
5) S. Buzaglo - R. Pinchasi - G. Rote: Topological hypergraphs
6) J. Cano Vila - L. F. Barba - J. Urrutia - T. Sakai: On edge-disjoint empty triangles of point sets
7) J. Cibulka - J. Kynčl - V. Mészáros - R. Stolař - P. Valtr: Universal sets for straight-line embeddings of bicolored graphs
8) G. Di Battista - F. Frati: Drawing trees, outerplanar graphs, series-parallel graphs, and planar graphs in small area
9) W. Didimo - G. Liotta: The crossing angle resolution in graph drawing
10) A. Dumitrescu: Mover problems
11) S. Felsner: Rectangle and square representations of planar graphs
12) R. Fulek - N. Saeedi - D. Sariöz: Convex obstacle numbers of outerplanar graphs and bipartite permutation graphs
13) R. Fulek - M. Pelsmajer - M. Schaefer - D. Štefankovič: Hanani-Tutte, monotone drawings, and level-planarity
14) R. Fulek - A. Suk: On disjoint crossing families in geometric graphs
15) M. Hoffmann - A. Schulz - M. Sharir - A. Sheffer - Cs. D. Tóth - E. Welzl: Counting plane graphs: flippability and its applications
16) F. Hurtado - Cs. D. Tóth: Geometric graph augmentation: a generic perspective
17) M. Kano - K. Suzuki: Discrete geometry on red and blue points in the plane lattice
18) Gy. Károlyi: Ramsey-type problems for geometric graphs
19) Ch. Keller - M. Perles - E. Rivera-Campo - V. Urrutia-Galicia: Blockers for non-crossing spanning trees in complete geometric graphs
20) A. V. Kostochka - K. G. Milans: Coloring clean and K_4-free circle graphs
21) F. Morić - D. Pritchard: Counting large distances in convex polygons: a computational approach
22) A. Raigorodskii: Coloring distance graphs and graphs of diameters
23) M. Schaefer: Realizability of graphs and linkages
24) C. Smyth: Equilateral sets in l_dp
25) A. Suk: A note on geometric 3-hypergraphs
26) K. Swanepoel: Favourite distances in high dimensions
27) M. Tancer: Intersection patterns of convex sets via simplicial complexes, a survey
28) G. Tardos: Construction of locally plane graphs with many edges
29) G. Tóth: A better bound for the pair-crossing number
30) U. Wagner: Minors, embeddability, and extremal problems for hypergraphs
Introduction
1) B. Ábrego - S. Fernández-Merchant - G. Salazar: The rectilinear crossing number of K_n: closing in (or are we?)
2) E. Ackerman: The maximum number of tangencies among convex regions with a triangle-free intersection graph
39.
ＥＢ
by Michel L. Lapidus, Machiel van Frankenhuijsen
目次情報:
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Preface
Overview
Introduction
1. Complex Dimensions of Ordinary Fractal Strings
2. Complex Dimensions of Self-Similar Fractal Strings
3. Complex Dimensions of Nonlattice Self-Similar Strings
4. Generalized Fractal Strings Viewed as Measures
5. Explicit Formulas for Generalized Fractal Strings
6. The Geometry and the Spectrum of Fractal Strings
7. Periodic Orbits of Self-Similar Flows
8. Fractal Tube Formulas
9. Riemann Hypothesis and Inverse Spectral Problems
10. Generalized Cantor Strings and their Oscillations
11. Critical Zero of Zeta Functions
12 Fractality and Complex Dimensions
13. Recent Results and Perspectives
Appendix A. Zeta Functions in Number Theory
Appendix B. Zeta Functions of Laplacians and Spectral Asymptotics
Appendix C. An Application of Nevanlinna Theory
Bibliography
Author Index
Subject Index
Index of Symbols
Conventions
Acknowledgements
Preface
Overview
Introduction
40.
ＥＢ
edited by Joseph M. Hilbe
目次情報:
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Joseph Hilbe, Jet Propulsion Laboratory and Arizona State University, Astrostatistics: A brief history and view to the future
Thomas Loredo, Cornell Univ, Bayesian astrostatistics: A backward look to the future
Stefano Andreon, INAF-Osservatorio Astronomico di Brera, Italy, Understanding better (some) astronomical data using Bayesian methods
Martin Kunz, Institute for Theoretical Physics, Univ of Geneva, BEAMS: separating the wheat from the chaff in supernova analysis
Benjamin Wandelt, Institut d'Astrophysique de Paris, Université Pierre et Marie Curie, France, Cosmostatistics
Roberto Trotta, Astrophysics Group, Dept of Physics, Imperial College London (with Farhan Feroz (Cambridge), Mike Hobson (Cambridge), and Roberto Ruiz de Austri (Univ of Valencia, Spain), Recent advances in Bayesian inference in cosmology and astroparticle physics thanks to the Multinest Algorithm
Phillip Gregory, Department of Astronomy, Univ of British Columbia, Canada, Extrasolar planets via Bayesian model fitting
Marc Henrion, Dept of Mathematics, Imperial College, London, UK (with Daniel Mortlock (Imperial), Axel Gandy (Imperial), and David J. Hand (Imperial)), Subspace methods for anomaly detection in high dimensional astronomical databases
Asis Kumar Chattopadhyay, Dept of Statistics, Univ of Calcutta, India (with Tanuka Chattyopadhyay, Tuli De, and Saptarshi Mondal), Independent Component Analysis for dimension reduction classification: Hough transform and CASH Algorithm
Marisa March, Astrophysics Group, Dept of Physics, Imperial College London (with Roberto Trotta), Improved cosmological constraints from a Bayesian hierarchical model of supernova type Ia data
Joseph Hilbe, Jet Propulsion Laboratory and Arizona State University, Astrostatistics: A brief history and view to the future
Thomas Loredo, Cornell Univ, Bayesian astrostatistics: A backward look to the future
Stefano Andreon, INAF-Osservatorio Astronomico di Brera, Italy, Understanding better (some) astronomical data using Bayesian methods
41.
ＥＢ
by Daniel W. Cunningham
目次情報:
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Preface
The Greek Alphabet
1. Propositional Logic
2. Predicate Logic
3. Proof Strategies and Diagrams
4. Mathematical Induction
5. Set Theory
6. Functions
7. Relations
8. Core Concepts in Abstract Algebra
9. Core Concepts in Real Analysis
A Summary of Strategies
References
List of Symbols. Index
Preface
The Greek Alphabet
1. Propositional Logic
42.
ＥＢ
edited by Alan Agresti, Xiao-Li Meng
目次情報:
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Statistics as an Academic Discipline
Carnegie-Mellon
Columbia University
Cornell University
Florida State University
George Washington University
Harvard University
Iowa State University
Johns Hopkins University
Kansas State University
Michigan State University
North Carolina State
Oregon State University
Penn State University
Princeton University
Purdue University
Rutgers University
Southern Methodist University
Stanford University
SUNY at Buffalo
Texas A&M
University of California
University of Chicago
University of Connecticut
University of Florida
University of Georgia
University of Iowa
University of Michigan
University of Minnesota
University of Missouri
University of North Carolina
University of Pennsylvania
University of Pittsburgh
University of Washington
University of Wisconsin
Virginia Tech University
Yale University
Referees
Statistics as an Academic Discipline
Carnegie-Mellon
Columbia University
43.
ＥＢ
by Andrzej Gałecki, Tomasz Burzykowski
目次情報:
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Introduction
Linear Models for Independent Observations
Linear Fixed-effects Models for Correlated Data
Linear Mixed-effects Models
Introduction
Linear Models for Independent Observations
Linear Fixed-effects Models for Correlated Data
44.
ＥＢ
by Jan Vrbik, Paul Vrbik
目次情報:
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Contents
Preface
Finite Markov Chains
Finite Markov Chains II
Branching Processes
Renewal Theory
Poisson Process
Birth and Death Processes I
Birth and Death Processes II
Continuous-Time Markov Chains
Brownian Motion
Autoregressive Models
Basic Probability Review
Maple Programming
References
Contents
Preface
Finite Markov Chains
45.
ＥＢ
edited by Hershel M. Farkas, Robert C. Gunning, Marvin I. Knopp, B. A. Taylor
目次情報:
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Preface. Biographical Sketch of Leon Ehrenpreis (Yael Ehrenpreis Meyer)
Differences of Partition Functions - The Anti-Telescoping Method(G.E. Andrews)
The Extremal Plurisubharmonic Function for Linear Growth (D. Bainbridge)
Mahonian Partition Identities Via Polyhedral Geometry (M. Beck, B. Braun, N. Le)
Second Order Modular Forms with Characters (T. Blann, N. Diamantis)
Disjointness of Moebius From Horocycle Flows (J. Bourgain, P. Sarnak, T. Zeigler)
Duality and Differential Operators for Harmonic MAASS Forms (K. Bringmann, B. Kane, R.C. Rhoades)
Function Theory Related to the Group PSL2(R) (R. Bruggeman, J. Lewis, D. Zagier)
Analysis of Degenerate Diffusion Operators Arising in Population Biology (C.L. Epstein, R. Mazzeo)
A Matrix Related to the Theorem of Fermat and the Goldbach Conjecture (H.M. Farkas)
Continuous Solutions of Linear Equations (C. Fefferman, J. Kollár)
Recurrence for Stationary Group Actions (H. Furstenberg, E. Glasner)
On the Honda—Kaneko Congruences (P. Guerzhoy)
Some Intrinsic Constructions on Compact Riemann Surfaces (Robert C. Gunning)
The Parallel Refractor (C.E. Gutiérrez, F. Tournier)
On a Theorem of N. Katz and Bases in Irreducible Representations (D. Kazhdan)
Vector-valued Modular Forms with an Unnatural Boundary (M. Knopp, G. Mason)
Loss of Derivatives (J.J. Kohn)
On an Oscillatory Result for the Coefficients of General Dirichlet Series (W. Kohnen, W. de Azevedo Pribitkin)
Representation Varieties of Fucsian Groups (M. Larsen, Alexander Lubotzky)
Two Embedding Theorems (G.A. Mendoza)
Cubature Formulas and Discrete Fourier Transform on Compact Manifolds (I. Z. Pesenson, D. Geller)
The Moment Zeta Function and Applications (I. Rivin)
A Transcendence Criterion for CM on Some Families of Calabi—Yau Manifolds (P. Tretkoff)
Ehrenpreis and the Fundamental Principle (F. Treves)
Minimal Entire Functions (B. Weiss)
A Conjecture by Leon Ehrenpreis about Zeroes of Exponential Polynomials (A. Yger)
The Discrete Analog of the Malgrange—Ehrenpreis Theorem (D. Zeilberger)
The Legacy of Leon Ehrenpreis
PhD Students
Publications of Leon Ehrenpreis
Preface. Biographical Sketch of Leon Ehrenpreis (Yael Ehrenpreis Meyer)
Differences of Partition Functions - The Anti-Telescoping Method(G.E. Andrews)
The Extremal Plurisubharmonic Function for Linear Growth (D. Bainbridge)
46.
ＥＢ
by George E. Andrews, Bruce C. Berndt
目次情報:
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Preface
1 Introduction.- 2 Double Series of Bessel Functions and the Circle and Divisor Problems.- 3 Koshliakov's Formula and Guinand's Formula.- 4 Theorems Featuring the Gamma Function.- 5 Hypergeometric Series.- 6 Euler's Constant.- 7 Problems in Diophantine Approximation.- 8 Number Theory.- 9 Divisor Sums
10 Identities Related to the Riemann Zeta Function and Periodic Zeta Functions
11 Two Partial Unpublished Manuscripts on Sums Involving Primes.- 12 Infinite Series
13 A Partial Manuscript on Fourier and Laplace Transforms
14 Integral Analogues of Theta Functions adn Gauss Sums
15 Functional Equations for Products of Mellin Transforms
16 Infinite Products
17 A Preliminary Version of Ramanujan's Paper, On the Integral ∫_0^x tan^(-1)t)/t dt
18 A Partial Manuscript Connected with Ramanujan's Paper, Some Definite Integrals.- 19 Miscellaneous Results in Analysis
20 Elementary Results
21 A Strange, Enigmatic Partial Manuscript.- Location Guide
Provenance
References
Index
Preface
1 Introduction.- 2 Double Series of Bessel Functions and the Circle and Divisor Problems.- 3 Koshliakov's Formula and Guinand's Formula.- 4 Theorems Featuring the Gamma Function.- 5 Hypergeometric Series.- 6 Euler's Constant.- 7 Problems in Diophantine Approximation.- 8 Number Theory.- 9 Divisor Sums
10 Identities Related to the Riemann Zeta Function and Periodic Zeta Functions
47.
ＥＢ
edited by Urszula Ledzewicz, Heinz Schättler, Avner Friedman, Eugene Kashdan
出版情報:
New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名:
Lecture Notes on Mathematical Modelling in the Life Sciences ;
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-1-4614-4178-6
所蔵情報:
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Spatial aspects of HIV infection
Basic Principles in Modeling Adaptive Regulation and Immunodominance
Evolutionary Principles In Viral Epitopes
A Multiscale Approach Leading to Hybrid Mathematical Models for Angiogenesis: the Role of Randomness
Modeling Tumor Blood Vessel Dynamics
Influence of Blood Rheology and Outflow Boundary Conditions in Numerical Simulations of Cerebral Aneurysms
The Steady State of Multicellular Tumour Spheroids: a Modelling Challenge
Deciphering Fate Decision in Normal and Cancer Stem Cells – Mathematical Models and Their Experimental Verification
Data Assimilation in Brain Tumor Models
Optimisation of Cancer Drug Treatments Using Cell Population Dynamics
Tumor Development under Combination Treatments with Antiangiogenic Therapies
Saturable Fractal Pharmacokinetics and Its Applications
A MathematicalModel of Gene Therapy for the Treatment of Cancer
Epidemiological Models with Seasonality
Periodic Incidence in a Discrete-Time SIS Epidemic Model
Spatial aspects of HIV infection
Basic Principles in Modeling Adaptive Regulation and Immunodominance
Evolutionary Principles In Viral Epitopes
48.
ＥＢ
by Stanisław Migórski, Anna Ochal, Mircea Sofonea
目次情報:
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Preface
List of Symbols
1. Preliminaries
2. Function Spaces
3. Elements of Nonlinear Analysis
4. Stationary Inclusions and Hemivariational Inequalities
5. Evolutionary Inclusions and Hemivarational Inequalities
6. Modeling of Contact Problems
7. Analysis of Static Contact Problems
8. Analysis of Dynamic Contact Problems
Bibliographic Notes
References
Index
Preface
List of Symbols
1. Preliminaries
49.
ＥＢ
by Gia Sirbiladze
出版情報:
New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名:
IFSR International Series on Systems Science and Engineering ; 28
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-1-4614-4250-9
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Fuzzy Measures and Fuzzy Statistics: Its Probability Representations
Extended Extremal Fuzzy Measures
Extended Extremal Fuzzy Measures on Compositional Product of Measurable Spaces
Modeling of Extremal and Controllable Extremal Fuzzy Processes
Identification of Fuzzy-Integral Models of Extremal fuzzy Processes
Optimization of Continuous Controllable Extremal Fuzzy Processes and the Choice of Decisions
Problems of States Estimation (Filtration) of Extremal Fuzzy Processes. - Conclusions on the Parts I-VII
Algorithms and software for Discrete Possibilistic EFDS
Application of the Discrete Possibilistic Model of the EFDS in the Evaluation of Expert Knowledge Streams
Application: Forecasting of Increasing Financial Risks (Credit Risks) of Georgia-based Organization (LTD-“Fractal”) by the Discrete Possibilistic EFDS’s Finite Model.- General Conclusions
Bibliography
Fuzzy Measures and Fuzzy Statistics: Its Probability Representations
Extended Extremal Fuzzy Measures
Extended Extremal Fuzzy Measures on Compositional Product of Measurable Spaces
50.
ＥＢ
by Nizar Touzi
目次情報:
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Preface
1. Conditional Expectation and Linear Parabolic PDEs
2. Stochastic Control and Dynamic Programming
3. Optimal Stopping and Dynamic Programming
4. Solving Control Problems by Verification
5. Introduction to Viscosity Solutions
6. Dynamic Programming Equation in the Viscosity Sense
7. Stochastic Target Problems
8. Second Order Stochastic Target Problems
9. Backward SDEs and Stochastic Control
10. Quadratic Backward SDEs
11. Probabilistic Numerical Methods for Nonlinear PDEs
12. Introduction to Finite Differences Methods
References
Preface
1. Conditional Expectation and Linear Parabolic PDEs
2. Stochastic Control and Dynamic Programming
ＥＢ
