## Mathematics Across Contemporary Sciences: AUS-ICMS, Sharjah, UAE, April 2015Taher Abualrub, Abdul Salam Jarrah, Sadok Kallel, Hana Sulieman This work presents invited contributions from the second "International Conference on Mathematics and Statistics" jointly organized by the AUS (American University of Sharjah) and the AMS (American Mathematical Society). Addressing several research fields across the mathematical sciences, all of the papers were prepared by faculty members at universities in the Gulf region or prominent international researchers. The current volume is the first of its kind in the UAE and is intended to set new standards of excellence for collaboration and scholarship in the region. |

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### Contents

1 | |

Centrosymmetric and Symmetric and HankelSymmetric Matrices | 17 |

Partially Independent Random Variables | 32 |

A Strategy for Feature Selection | 57 |

Basis Independence of Implicitly Defined Hamiltonian Circuit Dynamics | 77 |

On a New Class of Variational Problems | 91 |

A Scientific Tour on Orthogonal Arrays | 110 |

Hoffmans Coclique Bound for Normal Regular Digraphs and Nonsymmetric Association Schemes | 137 |

Existence and Stability | 151 |

An InterpolationBased Approach to American Put Option Pricing | 166 |

Stable Homotopy Groups of Moore Spaces | 177 |

Notes on QuasiCyclic Codes with Cyclic Constituent Codes | 193 |

Interpretation of Factors | 207 |

Optimal Drug Treatment in a Simple Pandemic Switched System Using Polynomial Approach | 227 |

On Carathéodory Quasilinear Functionals for BV Functions and Their Time Flows for a Dual H1 Penalty Model for Image Restoration | 241 |

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Abualrub adjacency matrix algorithm arrays of strength association schemes Bayesian network bound category fibred centrosymmetric circulant matrix Cl2O ClO1 ClOO cocliques codeword computational consider construction convex cyclic code defined Definition denote diagram difference scheme differentiable stack digraph Dirac structure discrete elements equations equivalent exact sequence example exists factors feature selection finite function functor G-torsors given graph Hadamard matrix homotopy independent isomorphism Latin squares Lemma Lie groupoids linear LS-category Lusternik-Schnirelmann category Markov Math matrix of order methods minimal Moore spaces morphism nonlinear obtain optimal option prices orthogonal arrays p.i. random variables parameters partition polynomial probability distribution problem Proof properties Proposition quasi-cyclic code random variables satisfying smooth manifold ſº Sobol sensitivity solution sum vector supermodular symmetric Theorem theory twig uyy(x vertex