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Filtering by: Committee Member Pohjanpelto, Petri J. Remove constraint Committee Member: Pohjanpelto, Petri J. Degree Field Mathematics Remove constraint Degree Field: Mathematics

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  • On the Topologies of Moduli Spaces of Polygons: A Taxonomic Approach

    Creator:
    Krughoff, Stephen A.
    Abstract:
    Consider a polygon lying in the Euclidean plane with labeled edge lengths. The moduli space of polygons is the space of all polygons with the same labeled edge lengths, modulo orientation preserving isometries. It is well known that this space is generically a smooth manifold. For certain combinations of edge...
    Resource Type:
    Dissertation
    Full Text:
    . To Dr. Bill Bogley for breathing life into group theory. To Dr. Tevian Dray and Dr. Juha Pohjanpelto

  • Modelling Development of Opinion Matrices Over Time

    Creator:
    Oostrom, Martijn L.
    Abstract:
    Given an initial opinion matrix in which every member of a population gives an opinion score of all the members in a population, natural questions to ask could be regarding what happens to those opinions over time, both in forward time and in backward time. While what happens over time...
    Resource Type:
    Masters Thesis
    Full Text:
    our opinion matrix, where Xij represents member i’s opinion of member j. For this problem, we’ll be

  • Probabilities of voting paradoxes with three candidates

    Creator:
    McDonald, Leslie M.
    Abstract:
    Pardoxes in voting has been an interest of voting theorists since the 1800's when Condorcet demonstrated the key example of a voting paradox: voters with individually transitive rankings produce an election outcome which is not transitive. With Arrow's Impossibility Theorem, the hope of finding a fair voting method which accurately...
    Resource Type:
    Masters Thesis
    Full Text:
    discontinued at the behest of new member Napolean Bonaparte [3]. Other mathematicians such as E. J. Nanson