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 AAN (sAAN) is the first extension of AAN. First, I will introduces the main rules and 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.
- a(a,b,0) = ab
- a(#,0) = a(#)
- a(a,b,c,#) = 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]
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.