Now showing items 1-7 of 7

  • Beautifully Ordered Balanced Incomplete Block Designs and Embedding of Complements 

    Shealy, Andrew K., Jr. (2014-08-28)
    A brief description of known definitions and necessary conditions are presented along with some existence results. Chapter 1 will focus on Beautifully Ordered Balanced Incomplete Block Designs. Beautifully Ordered Balanced ...
  • Clustering Datasets with Singular Value Decomposition 

    Douglas, Emmeline P. (2014-08-20)
    Spectral graph partitioning has been widely acknowledged as a useful way to cluster matrices. Since eigen decompositions do not exist for rectangular matrices, it is necessary to find an alternative method for clustering ...
  • Intelligent Selection of New Data for Ranking Algorithms 

    Boyer, Kirk A. (2014-08-27)
    Algorithms that rank items using paired comparison data are becoming increasingly widely applicable. New data is always being gathered to try to improve their ability to make predictions. I demonstrate that it is possible ...
  • On the Conserved Quantities of the Vortex Filament Equation 

    Fenici, Elena Cristina (2014-08-28)
    In this Master Thesis, we take a closer look at the family of conserved quantities of the Vortex Filament Equation (VFE), a model of vortex filament dynamics in an ideal fluid and a well-known example of completely integrable ...
  • Plane application of orbifold classification 

    Baynard, William Thorn, III (2014-08-18)
    The classification of objects and tilings of the plane through symmetry is an algebraic application used in chemistry, physics, and mathematics. In 1992, John H. Conway and William P. Thurston formulated a classification ...
  • Univariate and Multivariate Zone-Like Charts 

    Voronca, Delia (2014-08-26)
    Zone Charts are efficient tools for assessing and achieving process stability for a single variable. However, if there are more variables to be analyzed simultaneously, there is no counterpart of the Zone Chart. This project ...
  • Vortex filament equation and its solutions and energies 

    Epperson, Kelly Scott (2014-08-18)
    First, we will give the derivation of the Vortex Filament Equation (VFE) and discuss the concept of conserved quantities. Then we will discuss Fourier knots and their relationship to the VFE. We will also give some results ...