同高连续数对的无限性

Infinity on Pairs of Consecutive Integers of the Same Height

指出了 Collatz猜想中 ,某些连续的整数串具有相同的高 ,专门研究了同高连续数对 ,提出了它是通过利用一个算法从数的奇偶矢量重建数的轨迹来实现的 .研究发现 :同高连续数对在自然数中有无限多对 ,这是以前研究

In the Collatz conjecture,certain runs of consecutive integers have the same height.In particularly in this paper,pairs of consecutive integers of the same height is investigated using an algorithm for reconstracting the trajectory of a number from the parity vector of the number.It is found that pairs of consecutive integers of the same height occur infinitely often in natural numbers.It gives important significance to the investigation of the Collatz conjecture.