User:Vel!/Percent notation

Extension 0 - simple addition
a%b = a+b

Extension 1 - N notation
@ is the rest of the expression.

a% = a

a%@0 = a%@

a%@b = a%@+b

a%@N = a%@a

Extension 2 - Multiple percents
%n is n %'s.

a% = a

a%n@0 = a%n@

a%n@b = a%n@+b

a%n@N = a%n@a

a%n = a%n-1NN...NN with a Ns

Extension 3
N's can be in the %'s subscript. They turn into a.

Extension 4
Now %s can be. This means NN...NN with a Ns. Of course a%%% Is a%% 2. We're nesting like crazy up to a%% %. . . %.

Analysis
a%b = a+b a%N = 2a a%N1 = 2a+1 a%NN = 3a a%NNN = 4a a%% > a2 a%%1 > a2+1 a%%N > a2+a a%%NN > a2+2a a%%% > 2a2 a%%%% > 3a2 a%N > a3 a%NN > 2a3