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Mathematics

 
 

Recent Submissions

  • Zuniga Ruiz, Sandra (San Francisco State University, 2016)
    In the early 1900s, in an attempt to prove the 4-coloring theorem Birkhoff studied the number of ways to color a graph, known as the chromatic polynomial. In 1970, Richard Stanley found a way to decompose the chromatic ...
  • Pouokam, Maxime (San Francisco State University, 2016)
    This work includes both asymptotic results on the inevitability of random knotting and linking and important proprieties of reconfigurable systems. The properties of knots confined to tubes is studied numerically on the ...
  • Nassar, Abraham (San Francisco State University, 2016)
    The scanning speed of Magnetic Resonance Imaging (MRI) with a single sensor has come close to its physical limit. Recently much attention has been focused on scanning in parallel using multiple sensors. Such a multi-channel ...
  • Mondo, Daniel (San Francisco State University, 2016)
    It is commonly assumed that the sparsity s needs to be less than one half of the spark of the sensing matrix A, and then the unique sparsest solution exists. We discover, however, a measure theoretical uniqueness exists ...
  • Wu, Shuo (San Francisco State University, 2016)
    Filterbanks of multi-channel systems consist of analysis filters and synthesis filters. Rigorous and effective design of synthesis filters of an arbitrary multi-channel system is a challenging topic. In this thesis, a ...