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Mathematics

 
 

Recent Submissions

  • McGahan, Sarah (2017-05)
    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 ...
  • Newsome, Nicholas (2017-05)
    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 ...
  • Aceves, Elaina (2016-05)
    A new field of mathematical research has emerged in knot theory, which considers knot diagrams with missing information at some of the crossings. That is, the observer does not know which strand lies over or underthe other ...
  • Xu, Bing (2016-05)
    This thesis studies interpretations of modal logics in topological spaces. We prove that adding a new axiom (P!P) to S4 gives us a sound and complete axiom system over all discrete topological spaces. We show non-completeness ...
  • Park, Jeffrey C. (2016-05)
    Given a sequence of real numbers fkg1k=0, we can de ne an operator :R[x]!R[x] by [Pnk=0akxk] =Pnk=0kakxk. If has the property that it maps every hyperbolic polynomial to a hyperbolic polynomial, we callfkg1k=0a classical ...