Definition:Absolutely Normal Number

Definition
A real number $r$ is absolutely normal if it is normal every number base $b$.

That is, its basis expansion in every 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 every number base $b$, all digits of $r$ have the same natural density in the basis expansion of $r$.