构造正规数中的插入

摘要：

由Borel定义，一个实数是正规的整数基$b$，大于或等于$2$，如果在它的基- $b$扩展的每一个数字块出现相同的限制频率作为每一个其他块的相同长度。我们考虑在构造的基- $b$正规展开式中的插入问题，以获得基$(b+1)$的正规性.

英文摘要：

Defined by Borel, a real number is normal to an integer base $b$, greater than or equal to $2$, if in its base-$b$ expansion every block of digits occurs with the same limiting frequency as every other block of the same length. We consider the problem of insertion in constructed base-$b$ normal expansions to obtain normality to base $(b+1)$.

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