## Classify Positive Integers to Prove Collatz Conjecture by Mathematical Induction (Revised Version)

**Authors:** Zhang Tianshu

Positive integers which are able to be operated to 1 by the leftwards operational rule and generating positive integers which start with 1 to operate by the rightwards operational rule are one-to-one correspondence and the same. So, we refer to the bunch of integers’ chains to apply the mathematical induction, next classify positive integers to get comparable results via operations, such that finally summarize out a proof at substep according to beforehand prepared two theorems as judgmental criteria.

**Comments:** 24 Pages.

**Download:** **PDF**

### Submission history

[v1] 2017-12-29 08:47:39

**Unique-IP document downloads:** 15 times

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