关于冰雹猜想(Ⅱ)
On Hail Conjecture(Ⅱ)
孙桂秋1
作者信息
- 1. 湖南中医药大学数理教学部,湖南长沙 410208
- 折叠
摘要
《关于冰雹猜想(Ⅱ)》是《关于冰雹猜想(Ⅰ)》的继续.首先用排序法求出跌落数的均值.有了均值这个工具,就可以证明定理2.2,进而又证明了定理2.3.定理2.3是说:由1开始的枝状图中,包含了所有大于1的奇数.这是一个与冰雹猜想等价的命题,在此成为一个定理.定理2.5给出了迭代次数m的一个上界,这个上界仅与x1有关.所以,任给一个大于1的奇数x1,则经过有限步即m步就可以迭代到1.
Abstract
On hail conjjecture(Ⅱ)continued with On hail conjecture(Ⅰ).At first,by method of sequencing,fall number mean can be obtained.there is mean this tool,theorem 2.2 has been proved,and theorem 2.3.The theorem 2.3 is to say:Dendritic diagram that starts from 1,include all odd integer that greater than 1.This is an equivalent proposition with hail conjecture.This is a theorem here.Theorem 2.5 obtain a upper bound of iterate number of times m,which only has to do with x1.So arbitrarily give an odd integer x1 that greater than 1,it can iterate to 1 after finite step,which is m step.
关键词
递推公式/均值/迭代/上界Key words
recurrent formula/mean/iterate/upper bound引用本文复制引用
出版年
2024
NETL
NSTL
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