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Filtering by: Creator Faridani, Adel Remove constraint Creator: Faridani, Adel Non-Academic Affiliation Oregon State University. Honors College Remove constraint Non-Academic Affiliation: Oregon State University. Honors College

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  • A Partial Proof of Bertrand's Theorem

    Creator:
    Musgrove, John F.
    Abstract:
    In this paper, we provide a thorough proof of most of Bertrand's Theorem. Using Arnold's book "Mathematical methods of classical mechanics" as a backbone and calculus methods demonstrated by Jovanović in his article "A note on the proof of Bertrand's theorem," we show that for masses in a central field...
    Resource Type:
    Honors College Thesis
    Full Text:
    , representing Mathematics Adel Faridani, Committee Member, representing Mathematics Enrique Thomann, Committee

  • Orienting the Cube in Minkowski Space and Orienting Myself in Mathematics

    Creator:
    O'Harrow, Josie
    Abstract:
    This is a two-part thesis. The first part is a generalization of vector calculus tools to Minkowski Space, a non-Euclidean 3-dimensional geometry that has a distance function that is not positive definite. We orient a cube in Minkowski Space using the generalized Stokes' Theorem to relate a divergence integral to...
    Resource Type:
    Honors College Thesis