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- W795173601 abstract "This thesis considers a variation of the 3x + 1, or Collatz, Problem involving a function we call the Conway function. The Conway function is defined by letting C3 (n) = 2k for n = 3k and C3 (n) = 4k± 1 for n = 3k±1, where n is an integer. The iterates of this function generate a few 'short' cycles, but ' the structural dynamics are otherwise unknown. We investigate properties of the Conway function and other related functions. We also discuss the possibility of using the Conway function to generate keys for cryptographic use based on a fast, efficient binary implemenation of the function. Questions related to the conjectured tree-like structure of the 3x + 1 Problem and to other decidable tree-like structures are also considered. The signatures below, by the thesis advisor, a departmental reader, and the honors coordinator for mathematics, certify that this thesis, prepared by Robin M. Givens, has been approved, as to style and content." @default.
- W795173601 created "2016-06-24" @default.
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- W795173601 date "2006-01-01" @default.
- W795173601 modified "2023-09-27" @default.
- W795173601 title "On Conway's generalization of the 3x + 1 problem" @default.
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