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同高连续数对的无限性

邬家邦 黄国麟

中南民族学院学报(自然科学版)2001,Vol.20Issue(1):62-66,5.
中南民族学院学报(自然科学版)2001,Vol.20Issue(1):62-66,5.

同高连续数对的无限性

Infinity on Pairs of Consecutive Integers of the Same Height

邬家邦 1黄国麟2

作者信息

  • 1. 华中科技大学数学系
  • 2. 中南民族学院计算机科学学院
  • 折叠

摘要

Abstract

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.

关键词

Collatz猜想/同高连续数对/奇偶矢量

Key words

Collatz conjecture/pairs of consecutive integers of the same height/parity vector

分类

数理科学

引用本文复制引用

邬家邦,黄国麟..同高连续数对的无限性[J].中南民族学院学报(自然科学版),2001,20(1):62-66,5.

中南民族学院学报(自然科学版)

1672-4321

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