A Probabilistic Approach

  • Darrell Cox
  • Published 2012

Abstract

The Poisson probability distribution is used to model the number of cycles in the generalized Collatz problem. First, interrelated cycles are defined and used as a criterion in counting the cycles for a given q value. Initially, archived data in the mathematical literature (giving the known 3n + q cycles) is analyzed. For large samples, the Poisson… (More)

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