Geometry

There Are no Extraordinary Cycles in Collatz Conjecture

Authors: Chao Chen
Comments: 3 Pages.

In this paper, through the careful study and thinking of the Collatz conjecture, We give a short proof for any positive integer odd number x, when the odd number x is equal to 1, the cyclesequence is: 1, 1, 1, · · · , When the odd number x is greater than 1, there is no Extraordinary cyclic sequence.
Category: Geometry

Coraz Conjecture that there is no Non-Trivial Cycle

Authors: Chao Chen
Comments: 4 Pages. In Chinese

This paper studies whether there is a non-trivial cyclic sequence in Koraz's conjecture. Using the proof by contradiction method, it is obtained that for any positive integer odd number x0, when x0 is equal to 1, a trivial cycle will occur, and the cyclic sequence is: 1, 1, 1, · · · , the conclusion that no non-trivial cyclic sequence will occur when x0 is a positive integer odd number greater than 1.

本文研究了考拉兹猜想是否存在非平凡循环序列问题. 利用反证法, 获得了对于任意一个正整数奇数x0, 当x0 等于1 时产生平凡循环, 循环序列为:1, 1, 1, · · · , 当x0 为大于1 的正整数奇数时不产生非平凡循环序列的结论.
Category: Geometry