We can extend our notation to the case of two parameters n and m that can go to infinity independently at different rates. For a given function g(n, m), we denote by O(g(n, m)) the set of functions 0(g(n . m) ) = { f(nm ) : there exist positive constants c, no, and mo such that 0 f(n,m) cg(n,m) for allno or mmo Give corresponding definitions for (g(n,,n)) and (g(n, m)