User:Ynought/Playground

This is just my place of experimenting with notations.

\(I\) function
well first i have to explain my notation:

\(I^0(a...b)=I(a...b)\)

\(I^k(...b_+...)=I(...I^{k-1}(...b...)...)\) so here every number with a \(_+\) gets the same treatment

\(O\) is the sum of all the integers in the \(I\) function

now for \(Z\) lets say for \(I(10,10,10,10)\) then \(Z=I^O(10_+,10_+,10_+,9) but if the last entry is a zero (in the original array) then apply the rule for that case first

\(I(n)=n+1\)

\(I(a,b,...,c,0)=I^O(a_+b_+..,c_+)

\(I(a,b,...,c)=I(a_+,b_+,...,c-1)