Complete Set

Big Theta gives us a notion of asymptotic equality. We also have symbols for all of the other comparative notions as well.

$$\begin{array} {lcc} f(n) = o(g(n)) & \approx & f(n) < g(n) \... ...(n) \ f(n) = \omega(g(n)) & \approx & f(n) \gt g(n)\end{array}$$