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关于冰雹猜想(Ⅱ)

On Hail Conjecture(Ⅱ)

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《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 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.

recurrent formulameaniterateupper bound

孙桂秋

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湖南中医药大学数理教学部,湖南长沙 410208

递推公式 均值 迭代 上界

2024

长春师范大学学报
长春师范学院

长春师范大学学报

CHSSCD
影响因子:0.312
ISSN:1008-178X
年,卷(期):2024.43(6)