User blog:Googleaarex/Aarex's Array Notation

Aarex's Array Notation is my main notation I will use for large numbers. You can find the other extensions in my site.

It is going to be original. I will never, ever stealing ideas.

Simple
Simple AAN (sAAN) is the first extension of AAN. First, I will introduces the main rules and definition.

Definition
I go with definition first. The people will say 'What is the definition' if I am going with main rules first.

The definition of sAAN is a notation that expressed as a(A), where A is non-negative integers separated by the comma. The first entry is base and the second entry is co-base. The rest of the entries expressed as a hashtag and new copies of the group remain the same.

Main rules

 * a(a,b,0) = ab
 * a( # ,0)[1] = a( # )
 * a(a,b,c, # )[1] = a(a,b,c, # )
 * a(a,b,c, # )[d] = a(a,a(a,b,c, # )[d-1],c, # )
 * New copies of old # remain the same.
 * a(a,b,c, # ) = a(a,b,c-1, # )[d]

Process rules
If all of main rules doesn't apply, we start at the fourth entry in the process, where it can be found below this sentence.
 * Case A: If the entry is 0, move to the next entry.
 * Case B: Else, decrease the entry by 1 and change the previous entry to co-base. The process ends.

Extended
Coming soon!