Now showing items 1-5 of 5

  • The Galois Group of 8-Torsion Points on Elliptic Curves 

    Jin, Kexin (2017-07-05)
    In this paper, we explore the Galois group of 8-torsion points on elliptic curves over Q. In particular, we present algorithms that allow us to find the subgroup of GL2(Z/8Z) that best represents the 8-torsion group of a ...
  • Motion Simulation of Geometric Constraint Structures 

    Cordeiro, Felicia (2012-05-11)
    Motion simulation is a classical problem in areas of research such as CAD (Computer Aided Design), robotics, and protein folding and flexibility. Efficient motion simulation techniques could facilitate advancements in many ...
  • On Index Divisibility in the Orbit of Zero Generated by Polynomial Iteration 

    Schenck, Angelina (2019-05-20)
    We say that a sequence is a divisibility sequence if the n-th term divides the m-th term whenever n divides m. In 2007, Rice changed the course of papers related to divisibility sequences with his result in his undergraduate ...
  • Seidel Switching 

    Lastrina, Michelle (2011-02-16)
    Seidel switching is a technique for generating pairs of graphs that are cospectral but not necessarily isomorphic. We will discuss and prove some important properties related to this graph construction. Cospectral pairs ...
  • SMOOTH AND HOMOGENEOUS PEG-FUNCTIONALIZED POLYSILOXANES FOR PROTEIN REPELLENCY 

    Tabassum, Tarnuma (2015-06-12)
    Polydimethylsiloxanes (PDMS) are important organosilicone compounds that offer a wide range of biological and biomedical applications due to their unique structural properties. However, their inherently hydrophobic surface ...