Preface; Contents; About the Editors; The Lusternik-Schnirelmann Category for a Differentiable Stack; 1 Introduction; 2 Differentiable Stacks and Lie Groupoids; 3 Lusternik-Schnirelmann Category for Lie Groupoids; 4 Lusternik-Schnirelmann Category of a Differentiable Stack; References; Centrosymmetric, and Symmetric and Hankel-Symmetric Matrices; 1 Introduction; 2 Existence Theorems; 3 Concluding Remarks; References; Partially Independent Random Variables; 1 Introduction; 2 Partially Independent (p.i.) Random Variables; 3 Finitely Many p.i. Random Variables; 3.1 Existence Conditions

3.2 Decidability3.3 Partially Independent Events; 3.4 Related Works; 4 Example: Low Density Independence; 4.1 Binary Variables; 4.2 Ternary Variables; 5 Countably Many p.i. Random Variables; 6 Dutch Books; References; Sobol Sensitivity: A Strategy for Feature Selection; 1 Introduction; 2 Literature Review; 3 Sobol Sensitivity Approach; 3.1 Theoretical Background; 3.2 Sobol Sensitivity for Machine Learning; 4 Application and Comparisons; 5 Conclusion; References; Basis Independence of Implicitly Defined Hamiltonian Circuit Dynamics; 1 Introduction; 2 Basic Definitions

3 Bloch-Crouch Formulation of LC Circuit Dynamics4 Basis Independent Formulation of mathcalD; References; On a New Class of Variational Problems; 1 Introduction; 2 Notations and Preliminaries; 2.1 Discrete Function Spaces; 2.2 Discrete Functional Inequalities; 2.3 Schwarz Symmetrization in hmathbbZ; 3 Discrete Symmetrization Inequalities; 4 Discrete Fractional Constained Variational Problem; 5 Some Applications; References; A Scientific Tour on Orthogonal Arrays; 1 Introduction; 1.1 Definitions and Properties; 1.2 Rao's Bounds; 1.3 Constructions; 2 Orthogonal Arrays and Coding Theory

3 Difference Schemes and Hadamard Matrices4 Mixed Orthogonal Arrays; 5 Application in Factorial Experiments; 6 Application in Computer Experiments; 6.1 Orthogonal Latin Hypercube Designs; 6.2 Sliced Orthogonal Arrays; 6.3 Nested Orthogonal Arrays; 7 Other Topics; 7.1 Latin Squares and F-Squares; 7.2 Compound Orthogonal Arrays; References; Hoffman's Coclique Bound for Normal Regular Digraphs, and Nonsymmetric Association Schemes; 1 Introduction; 2 Preliminaries; 2.1 Digraphs; 2.2 Association Schemes; 3 Hoffman's Bound for Normal Digraphs

4 A Characterization of Skew-Bush-type Hadamard Matrices5 Regular Biangular Matrices and Association Schemes; 6 Twin Asymmetric Designs and Association Schemes; References; A Suspension Bridge Problem: Existence and Stability; 1 Introduction; 2 Preliminaries; 3 Well-Posedness; 4 Stability; References; An Interpolation-Based Approach to American Put Option Pricing; 1 Introduction; 2 Constructing Suitable Pricing Functions; 2.1 A Multi-Parameter Extension; 3 An Illustrative Example; 4 Applications and Extensions; 4.1 Model-Free Hedge Ratios; 4.2 A Further Extension; 5 Conclusion; References