Browsing Theses and Dissertations by Author "Gilligan, Bruce"

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Browsing Theses and Dissertations by Author "Gilligan, Bruce"

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  • Ahmadi, Seyedruhallah (Faculty of Graduate Studies and Research, University of Regina, 2013-07)
    Suppose G is a connected complex Lie group and 􀀀 is a discrete subgroup such that X := G=􀀀 is K ahler and the codimension of the top non{vanishing homology group of X with coe cients in Z2 is less than or equal to ...
  • Wang, Xiyuan (Faculty of Graduate Studies and Research, University of Regina, 2014-05)
    We define an invariant called the “commutative differential graded algebra with lattice” of a topological space X. The commutative differential graded algebra with lattice encodes the information of rational homotopy ...
  • Krimker Fernandez, Gustavo Sergio (Faculty of Graduate Studies and Research, University of Regina, 2012-02)
    The main objective of this Thesis is the construction of the fundamental modules of the classical Lie algebras. Weyl’s Theorem shows that if L is a semisimple Lie algebra, then any finite dimensional L−module is a direct ...
  • Fu, Rong (Faculty of Graduate Studies and Research, University of Regina, 2012-10)
    Rough set theory offers a mathematical approach to data analysis and data mining. It can be used to learn classification rules that define classes of a classi- fication based on some well defined concepts. The fundamental ...
  • Chen, Xuguang (Faculty of Graduate Studies and Research, University of Regina, 2014-04)
    Rough decision tables were originally proposed by Pawlak. The hierarchies of probabilistic decision tables (the hierarchies), defined in the context of Variable Precision Rough Set Theory (VPRS model), generalized this ...
  • Hu, Mengjun (Faculty of Graduate Studies and Research, University of Regina, 2014-10)
    Rough set theory is widely used in many areas, such as artificial intelligence, machine learning and data mining. Lower and upper approximations are two fundamental notions for concept analysis with rough set theory. In ...
  • Chaktoura, Martin Gabriel (Faculty of Graduate Studies and Research, University of Regina, 2014-06)
    The main objective of this work is to construct all the regular representations of the complex classical groups. Since each of these groups is reductive, in the sense that every regular module is a direct sum of irreducible ...

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