44 2033180199
All submissions of the EM system will be redirected to Online Manuscript Submission System. Authors are requested to submit articles directly to Online Manuscript Submission System of respective journal.
Adjunct Associate Professor, Education Peninsula, Australia


  • Research Article   
    The Collatz Conjecture - From 1 To Infinity, No Loops, No Gaps, No Instability, P Vs NP, Halting Problem
    Author(s): Barbara Clarke*

    This paper describes the derivation of three functions that when used together generate all Collatz conjecture sequences starting from 1. Three functions are necessary as will become evident. The tree structure that is defined by the functions is fractal in nature and not like any other tree structure I have seen presented (Utube). Irrespective of issues of proof the definition of data structure has the potential to significantly impact current studies of the Collatz Conjecture. The work stands alone. There are no reference papers or associated organisations. The mathematics involved do not follow the general approach used by most mathematicians, in fact nothing more difficult than high school algebra is required. Even so the paper addresses the issues of potential loops, possible gaps and the question of possible instability. The P vs NP question and halting issues for computer searc.. Read More»
    DOI: 10.37532/2752-8081.21.5.27

Google Scholar citation report
Citations : 7299

Journal of Pure and Applied Mathematics received 7299 citations as per Google Scholar report

Journal of Pure and Applied Mathematics peer review process verified at publons