User:Hachem2001/sandbox

Hachem's normality number simplifies into proving whether a number is normal or not.

It's based on computer test in presence of the numerical sequence of the number itself.

Say we have $$\pi = 3.14159265358979323846264338...$$, and we want to test whether it's a normal number or not in base 10.

We take a number of samples $$n$$ and we define $$M_{i}$$ to be the digits order reverse of the given number, given $$i$$ is the iteration position going from $$1\cdots n$$, and the sequence of digits from $$1\cdots i$$.

Let's give a simple example of so :

let $$n=4$$, equivalently