User blog comment:Wythagoras/Dollar function: final version/@comment-5029411-20131207141238

S(1,2) = S(T) = The 1st ordinal in the 2nd row.

S(n,m) = S(T*{m-1}+{n-1}) = The n-th ordinal in the m-th row.

S(n,m,l) = S(T^2*{l-1}+T*{m-1}+{n-1}) = The n-th ordinal in the m-th row in the l-th plane.

S(n,m,l,k) = The n-th ordinal in the m-th row in the l-th plane in the k-th realm.

S(n,m,l,k,j) = The n-th ordinal in the m-th row in the l-th plane in the k-th realm in the j-th 4-realm.

etc.

S(T^w) = The 1st ordinal in the 2nd w-realm.

S(T^T) = The 1st ordinal in the 2nd T-realm.

S(e(T+1)) = The 1st ordinal in the 2nd e(T+1)-realm.