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 $(b+1)$.
翻译:由Borel定义,如果每组数字在基数-美元扩张时以与同一长度的每组数字相同的限制频率发生,则实际数字在整数基数B$(大于或等于2美元)中是正常的,如果每组数字与每组数字长度相同的限制频率发生,则实际数字在整数基数-b美元正常扩张中是正常的。