User blog:Username5243/Username5243's Array Notation

This is my array notation.

Well duh. You knew that if you read the title.

But seriously, here we go.

Extension 0: Basic Array Notation
The first part looks like this:

a[c]b

To solve it, it works like this:


 * a[0]b = a*b
 * a[c]1 = a
 * a[c]b = a[c-1](1[c]b-1)

It's not too terribly hard to show that a[c]b is equal to a^^^...^^^b with c ^'s.

a[0]b = a*b

a[1]b = a[0]a[0]...a[0]a for b a's = a^b

a[2]b = a[1]a[1]...a[1]a for b a's = a^^b

a[3]b = a[2]a[2]...a[2]b = a^^^b

...

This has limit w.