Institutsbibliothek für Mathematik und Informatik

Chapter 1 Introduction to Computers and C++ Programming . . 1
Chapter 2 C++ Basics . . 39
Chapter 3 More Flow of Control . . 109
Chapter 4 Procedural Abstraction and Functions That Return a Value . . 179
Chapter 5 Functions for All Subtasks . . 247
Chapter 6 I/O Streams as an Introduction to Objects and Classes . . 299
Chapter 7 Arrays . . 377
Chapter 8 Strings and Vectors . . 447
Chapter 9 Pointers and Dynamic Arrays . . 499
Chapter 10 Defining Classes . . 527
Chapter 11 Friends and Overloaded Operators . . 595
Chapter 12 Separate Compilation and Namespaces . . 681
Chapter 13 Pointers and Linked Lists . . 717
Chapter 14 Recursion . . 763
Chapter 15 Inheritance . . 805
Chapter 16 Exception Handling . . 859
Chapter 17 Templates . . 891
Chapter 18 Standard Template Library . . 921

Appendices
1 C++ Keywords . . 975
2 Precedence of Operators . . 976
3 The ASCII Character Set . . 978
4 Some Library Functions . . 979
6 Overloading the Array Index Square Brackets . . 988
7 The this Pointer . . 990
8 Overloading Operators as Member operators . . 993

Index . . 921

Preface . . ix
Chapter 1. Hyperplane sections of lp-balls . . 1
Chapter 2. Volume and the Fourier transform . . 9
Chapter 3. Intersection bodies . . 21
Chapter 4. The Busemann-Petty problem . . 39
Chapter 5. Projections and the Fourier transform . . 59
Chapter 6. Intersection bodies and Lp-spaces . . 67
Chapter 7. On the road between polar projection bodies and intersection bodies . . 75
Chapter 8. Open problems . . 87
Bibliography . . 101
Index . . 107

Preface . . v

Quantum Computation . . 1
1 Quantum Hidden Subgroup Algorithms: An Algorithmic Toolkit . . 3
2 A Realization Scheme for Quantum Multi-Object Search . . 47
3 On Interpolating between Quantum and Classical Complexity Classes . . 67
4 Quantum Algorithms for Hamiltonian Simulation . . 89

Quantum Technology . . 113
5 New Mathematical Tools for Quantum Technology . . 115
6 The Probabilistic Nature of Quantum Mechanics . . 149
7 Superconducting Quantum Computing Devices . . 171
8 Nondeterministic Logic Gates in Optical Quantum Computing . . 223

Quantum Information . . 257
9 Exploiting Entanglement in Quantum Cryptographic Probes . . 259
10 Nonbinary Stabilizer Codes . . 287
11 Accessible information about quantum states: An open optimization problem . . 309
12 Quantum Entanglement: Concepts and Criteria . . 349
13 Parametrizations of Positive Matrices With Applications . . 387

Quantum Topology, Categorical Algebra, and Logic . . 407
14 Quantum Computing and Quantum Topology . . 409
15 Temperley-Lieb Algebra: From Knot Theory to Logic and Computation via Quantum Mechanics . . 515
16 Quantum measurements without sums . . 559

Appendix Panel Report on the Forward Looking Discussion . . 597
Index . . 603

Preface . . xi
Acknowledgments . . xiii
1 Introduction . . 1
2 Computer Arithmetics . . 9
3 Classification of Numerical Computation Problems . . 25
4 Real-Valued Functions . . 37
5 Computing Derivatives . . 41
6 Computing Integrals . . 57
7 Finding Where a Function f(x) is Zero . . 69
8 Finding Roots of Polynomials . . 79
9 Solving n Linear Equations in n Unknowns . . 97
10 Eigenvalue and Eigenvector Problems . . 109
11 Problems of Linear Programming . . 137
12 Finding Where Several Functions are Zero . . 159
13 Optimization Problems . . 181
14 Ordinary Differential Equations . . 191
15 Partial Differential Equations . . 217
16 Numerical Methods with Complex Functions . . 235
The Precise Numerical Methods Program PNM . . 248
Index . . 249

Symbols and Notation . . 1
Some Terminology . . 5

Part I Descriptive Techniques
1 Comparison of Batches . . 15

Part II Multivariate Random Variables
2 A Short Excursion into Matrix Algebra . . 33
3 Moving to Higher Dimensions . . 39
4 Multivariate Distributions . . 55
6 Theory of Estimation . . 99
7 Hypothesis Testing . . 111

Part III Multivariate Techniques
8 Decomposition of Data Matrices by Factors . . 147
9 Principal Component Analysis . . 163
10 Factor Analysis . . 185
11 Cluster Analysis . . 205
12 Discriminant Analysis . . 227
13 Correspondence Analysis . . 241
14 Canonical Correlation Analysis . . 263
15 Multidimensional Scaling . . 271
16 Conjoint Measurement Analysis . . 283
17 Applications in Finance . . 291
18 Highly Interactive, Computationally Intensive Techniques . . 301

A Data Sets . . 325
References . . 361
Index . . 363

Preface . . ix
1 SOME BASIC CONCEPTS . . 1
2 FUNDAMENTALS OF NONPARAMETRIC METHODS . . 23
3 LOCATION INFERENCE FOR SINGLE SAMPLES . . 45
4 OTHER SINGLE-SAMPLE INFERENCES . . 83
5 METHODS FOR PAIRED SAMPLES . . 125
6 METHODS FOR TWO INDEPENDENT SAMPLES . . 151
7 BASIC TESTS FOR THREE OR MORE SAMPLES . . 195
8 ANALYSIS OF STRUCTURED DATA . . 227
9 ANALYSIS OF SURVIVAL DATA . . 261
10 CORRELATION AND CONCORDANCE . . 283
11 BIVARIATE LINEAR REGRESSION . . 321
12 CATEGORICAL DATA . . 347
13 ASSOCIATION IN CATEGORICAL DATA . . 389
14 ROBUST ESTIMATION . . 437
15 MODERN NONPARAMETRICS . . 469
Appendix 1 . . 503
Appendix 2 . . 505
References . . 511
Index . . 526

Preface . . VII
Acknowledgments . . IX

I Introductory Material . . 1
II Marginal Models . . 53
III Conditional Models . . 223
IV Subject-specific Models . . 255
V Case Studies and Extensions . . 307
VI Missing Data . . 479

References . . 637
Index . . 671

Foreword . . XIII
Preface . . XV

Part I INTRODUCTION TO NETWORKING . . 1
CHAPTER 1 Introduction . . 3

Part II IP — INTERNET PROTOCOL . . 7
CHAPTER 2 Fundamentals of IP . . 9

Part III TCP — TRANSMISSION CONTROL PROTOCOL . . 17
CHAPTER 3 Fundamentals of TCP I . . 19
CHAPTER 4 Scalable I/O . . 73
CHAPTER 5 Scalablercp . . 117
CHAPTER 6 Firewalls . . 129
CHAPTER 7 Secure Sockets . . 135
CHAPTER 8 Scalable secure sockets . . 185

Part IV UDP — USER DATAGRAM PROTOCOL . . 215
CHAPTER 9 Unicast uDP . . 217
CHAPTER 10 Scalable uDP . . 26l
CHAPTER 11 MulticastuDP . . 269

Part V IN PRACTICE . . 297
CHAPTER 12 Server and client models . . 299
CHAPTER 13 Fallacies of networking . . 339

Part VI APPENDICES . . 347