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.
On hail conjecture(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 x 1.So arbitrarily give an odd integer x 1 that greater than 1,it can iterate to 1 after finite step,which is m step.
作者
孙桂秋
SUN Guiqiu(Department of Mathematics and Physics,Hunan University of Chinese Medicine,Changsha 410208,China)
出处
《长春师范大学学报》
2024年第6期18-22,共5页
Journal of Changchun Normal University
关键词
递推公式
均值
迭代
上界
recurrent formula
mean
iterate
upper bound