دانلود کتاب Mathematics Across Contemporary Sciences: Aus-Icms, Sharjah, Uae, April 2015

فهرست مطالب :

Preface......Page 6
Contents......Page 8
About the Editors......Page 10
1 Introduction......Page 12
2 Differentiable Stacks and Lie Groupoids......Page 13
3 Lusternik-Schnirelmann Category for Lie Groupoids......Page 21
4 Lusternik-Schnirelmann Category of a Differentiable Stack......Page 23
References......Page 25
1 Introduction......Page 27
2 Existence Theorems......Page 30
References......Page 41
1 Introduction......Page 42
2 Partially Independent (p.i.) Random Variables......Page 44
3.1 Existence Conditions......Page 46
3.2 Decidability......Page 50
3.4 Related Works......Page 51
4.1 Binary Variables......Page 52
4.2 Ternary Variables......Page 56
5 Countably Many p.i. Random Variables......Page 58
6 Dutch Books......Page 60
References......Page 65
1 Introduction......Page 66
2 Literature Review......Page 67
3.1 Theoretical Background......Page 71
3.2 Sobol Sensitivity for Machine Learning......Page 74
4 Application and Comparisons......Page 77
5 Conclusion......Page 81
References......Page 83
1 Introduction......Page 85
2 Basic Definitions......Page 86
3 Bloch-Crouch Formulation of LC Circuit Dynamics......Page 87
4 Basis Independent Formulation of mathcalD......Page 91
References......Page 97
1 Introduction......Page 99
2.1 Discrete Function Spaces......Page 103
2.3 Schwarz Symmetrization in hmathbbZ......Page 104
3 Discrete Symmetrization Inequalities......Page 108
4 Discrete Fractional Constained Variational Problem......Page 111
5 Some Applications......Page 115
References......Page 116
1 Introduction......Page 118
1.1 Definitions and Properties......Page 119
1.3 Constructions......Page 121
2 Orthogonal Arrays and Coding Theory......Page 123
3 Difference Schemes and Hadamard Matrices......Page 128
4 Mixed Orthogonal Arrays......Page 132
5 Application in Factorial Experiments......Page 134
6.1 Orthogonal Latin Hypercube Designs......Page 136
6.2 Sliced Orthogonal Arrays......Page 137
7.1 Latin Squares and F-Squares......Page 139
7.2 Compound Orthogonal Arrays......Page 141
References......Page 142
1 Introduction......Page 143
2.1 Digraphs......Page 144
2.2 Association Schemes......Page 145
3 Hoffman\'s Bound for Normal Digraphs......Page 146
4 A Characterization of Skew-Bush-type Hadamard Matrices......Page 148
5 Regular Biangular Matrices and Association Schemes......Page 149
6 Twin Asymmetric Designs and Association Schemes......Page 151
References......Page 156
1 Introduction......Page 157
2 Preliminaries......Page 161
3 Well-Posedness......Page 163
4 Stability......Page 168
References......Page 170
1 Introduction......Page 172
2 Constructing Suitable Pricing Functions......Page 173
3 An Illustrative Example......Page 175
4.1 Model-Free Hedge Ratios......Page 177
5 Conclusion......Page 178
References......Page 180
1 Introduction......Page 181
2.1 Category of Diagrams......Page 182
2.2 Equivalence of Categories Between mathscrMn and mathscrDe......Page 185
3 Stable Homotopy Groups of Moore Spaces......Page 190
References......Page 196
Notes on Quasi-Cyclic Codes with Cyclic Constituent Codes......Page 197
2 The Circulant Matrix Decomposition of a Cyclic Code......Page 198
3 Quasi-cyclic Codes with Cyclic Constituent Codes......Page 200
4 The Generator Polynomial of θ(mathscrC)......Page 204
5 General Equivalences......Page 206
6 Application Examples......Page 209
References......Page 210
1 Introduction......Page 211
2.1 Motivation......Page 214
2.2 A Special Case: A Markov Chain......Page 216
2.3 The General Case......Page 218
3 Pathological Bayesian Networks......Page 219
4 Non-pathological Situations and Bayesian Networks of Level Two......Page 227
5 Conclusion......Page 229
References......Page 230
1 Introduction......Page 231
2 Problem Statement......Page 232
3 The Switched System......Page 234
4.1 Moment and Localizing Matrices......Page 236
4.2 Semidefinite Programs Using Moments Approach......Page 238
5 Numerical Implementation......Page 239
6 Numerical Simulation......Page 240
7 Conclusion......Page 242
References......Page 243
1 Introduction......Page 245
2 The Stationary Problem and Important Results for BV Functions......Page 251
3 Time Flow of the Weak Solution......Page 255
4 Conclusion......Page 260
References......Page 261