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Mathematics

 
 

Recent Submissions

  • Vogt, Anthony (2019-08)
    A generalized quadrangle is a type of geometry that contains within it no triangles. In particular, we will be considering these structures in the finite case. In this thesis, we focus on a particular generalized quadrangle ...
  • Thom, Nathan (2019-05)
    The geometric hyperplanes of generalized quadrangles and their pairwise intersections are studied using combinatorial techniques. Particular attention is paid to the family of regular generalized quadrangles W(q), when q ...
  • Adams, Richard (2018-12)
    For any real numbers a, b, and c, we form the sequence of polynomials {Pn(z)}∞ n=0 satisfying the four-term recurrence Pn(z) = −azPn−1(z)−bPn−2(z)−czPn−3(z), n ∈N, with the initial conditions P0(z) = 1 and P−n(z) = 0. We ...
  • Newsome, Nicholas (2017)
    Sums of powers of integers have been studied extensively for many centuries. The Pythagoreans, Archimedes, Fermat, Pascal, Bernoulli, Faulhaber, and other mathematicians have discovered formulas for sums of powers of the ...
  • McGahan, Sarah (2017)
    A mathematical braid is a set of strands passing between two parallel planes in space, such that each strand passes through any parallel plane that lies between the two planes exactly once. The set of all braids with n ...