General Mathematics

    

A Solution Of the Collatz Conjecture Problem

Authors: Baoyuan Duan

Build a special identical equation, use its calculation characters to prove and search for solution of any odd converging to 1 equation through (*3+1)/2^k operation, and get a solution for this equation, which is exactly same with that got from calculating directly. Then give a specific example to verify. Thus prove the Collatz Conjecture is true. Furthermore, analysis the even and odd sequences produced by iteration calculation during the procedure of searching for solution, build a weight function model, prove it decrease progressively to 0, build another complement weight function model, prove it increase to its convergence state. Indicate that this kind of iteration calculation has determined direction, and gradually regularly converges.

Comments: 19 Pages. correct errors in section VI

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Submission history

[v1] 2023-01-11 01:33:12
[v2] 2023-01-17 02:06:46
[v3] 2023-02-12 02:02:49
[v4] 2023-03-04 11:45:03
[v5] 2023-03-14 04:23:43

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