数学界的 e与pi 问题

蔡家雄

e与pi的小数展式：
从第10个数字起，
每隔10个数字，
必有一数字重合。

补充说明：
我再看准书上是这样说的：平均每隔10位数，
唉，平均 一词，模棱两可，，—— 不确切！

zeroieme

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蔡家雄

zeroieme 发表于 2017-8-20 14:52
{{{1,10},False},{{11,20},True},{{21,30},False},{{31,40},True},{{41,50},True},{{51,60},True},{{61,70} ...

谢谢你的编程解答：这么多的否定，但这不是我的题目，

—— 我反而不明白，有几本数论书都是这样介绍的。

蔡家雄

zeroieme 发表于 2017-8-20 14:52
{{{1,10},False},{{11,20},True},{{21,30},False},{{31,40},True},{{41,50},True},{{51,60},True},{{61,70} ...

我再看准书上是这样说的：平均每隔10位数，

唉，平均 一词，模棱两可，，—— 不确切！

蔡家雄

，，，，，，，，，，，，，，，，，，，，，，，，，，，，，，

蔡家雄

蔡家雄 发表于 2017-8-20 15:34
，，，，，，，，，，，，，，，，，，，，，，，，，，，，，，

有时，隔 30 个，还没有重合，书上居然说，

至今，既未被证明，也未被否证，

因为，“平均”一词 模棱两可。

zeroieme

蔡家雄 发表于 2017-8-20 15:06
谢谢你的编程解答：这么多的否定，但这不是我的题目，

—— 我反而不明白，有几本数论书都是这样介绍 ...

其实就是说e与pi 还没被证明是10进制下的 正规数 https://zh.wikipedia.org/wiki/%E6%AD%A3%E8%A7%84%E6%95%B0

蔡家雄

zeroieme 发表于 2017-8-20 17:35
其实就是说e与pi 还没被证明是10进制下的 正规数 https://zh.wikipedia.org/wiki/%E6%AD%A3%E8%A7%84%E ...

我的看法：此二数

在任意 b 进制 依然还是：

无限 不循环的！

蔡家雄

zeroieme 发表于 2017-8-20 17:35
其实就是说e与pi 还没被证明是10进制下的 正规数 https://zh.wikipedia.org/wiki/%E6%AD%A3%E8%A7%84%E ...

请教大师：

√2 是 正规数 吗？

√3 是 正规数 吗？

√5 是 正规数 吗？