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

Give corresponding definitions for $\Omega(g(n,m))$ and $\Theta(g(n,m))$.

$\Omega(g(n,m))$ and $\Theta(g(n,m))$ can be defined as follows: