User:Hyp cos/Basic R Function

Here I bring you a series of powerful functions - R function. It stands "Recusion Ruler". The first one is basic R function. Just "basic", it's not so powerful.

It looks like nRm, where n and m are integers that n>0 and m>=0. R here is just a symbol, or an operator like plus(+), times(*), power(^), up-arrows(^^...^), Bowers' operator, and so on. n, the number before R, is the base number. In my further extension, things after the R symbol will be many things, but the "nR" never change.

Definition
It's defined as follows:


 * Rule 1: nR0=10^n. - base rule


 * Rule 2: nR(m+1)=((...(nRm)Rm...)Rm)Rm with n R's.

Basic R function solves from left to right automatically, so Rule 2 can be written as: nRm=nRm-1Rm-1...Rm-1 with n R's.

More R functions
To be continued...