Now showing items 1-3 of 3

  • FACTORIZATION OF TRIANGULAR MATRICES OVER INFORMATION ALGEBRAS 

    Sampson, Rylan (2018-05)
    We define information algebras, i.e., antinegative semirings without zero-divisors, and explore their structure. We then generalize results from the paper On upper triangular nonnegative matrices by Chen et al. (2015) ...
  • MONOTONIC SOLUTIONS OF SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS 

    Myers, Tyler J. (2018-05)
    Systems of nonseparable nonlinear di↵erential equations can be hard to work with, but with certain additional conditions, we can acquire answers about continuability, existence, and boundedness of monotonic solutions. ...
  • THE RELATIVE DOWNTOWN REGION IN N-GONS AND THE PLATONIC SOLIDS 

    Duerr, Christina (2018-05)
    The following problem appeared on the Fiftieth William Lowell Putnam Mathematical Competition in 1989: A dart, thrown at random, hits a square target. Assuming that any two parts of the target of equal area are equally ...