This is the new hyperoperator, called Circlation. We introduce the new symbol, ○, which grows faster than up-arrows! Instead of only accepting 2 numbers, circlation accepts 2 2-entry arrays.
- [a,b]○[1,1]=a+b
- [a,b]○[1,y]=[a,a]○[b,y-1]
- [a,b]○[x,y]=[a,[a,b]○[x-1,y]]○[1,y]
Then, circlation would reach a growth rate of w.
But wait! There more!
We can apply up-arrows to []:
WIP!