User:Hyp cos/Brace Notation

Here is the second stuff of R function series - Brace notation. It works similar to Dollar function and FGH.

{0} braces
Here I bring you a brace - {0}. It work as follows: nR{0}=nRn, so its growth rate is ω.

Then nR1{0}=nR{0}R{0}...R{0} with n R's, with growth rate ω+1.

Then nR2{0}=nR1{0}R1{0}...R1{0} with n R's...

Then nR{0}{0}=nRn{0}, with growth rate ω2.

Then nR1{0}{0}, nR{0}{0}{0}, nR{0}{0}{0}{0}, ...

To get further, we need some definitions.