Definition:Normal Number

Definition
A real number $r$ is normal with respect to a number base $b$ its basis expansion in number base $b$ is such that:


 * no finite sequence of digits of $r$ of length $n$ occurs more frequently than any other such finite sequence of length $n$.

In particular, for number base $b$, all digits of $r$ have the same natural density in the basis expansion of $r$.

Also see

 * Definition:Absolutely Normal Number


 * Champernowne Constant is Normal