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  • Using p-adic valuations to decrease computational error

    Creator:
    Limmer, Douglas J.
    Abstract:
    The standard way of representing numbers on computers gives rise to errors which increase as computations progress. Using p-adic valuations can reduce error accumulation. Valuation theory tells us that p-adic and standard valuations cannot be directly compared. The p-adic valuation can, however, be used in an indirect way. This gives...
    Resource Type:
    Masters Thesis

  • Measure-equivalence of quadratic forms

    Creator:
    Limmer, Douglas J.
    Abstract:
    This paper examines the probability that a random polynomial of specific degree over a field has a specific number of distinct roots in that field. Probabilities are found for random quadratic polynomials with respect to various probability measures on the real numbers and p-adic numbers. In the process, some properties...
    Resource Type:
    Dissertation