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Theta

f(n) = $\Theta(g(n))$, g(n) is the Asymptotically Tight Bound for f(n)



$\Theta(g(n))$ = {f(n): there exist positive constants $c_1$, $c_2$, and $n_0$ such that
$0 \leq c_1g(n) \leq f(n) \leq c_2g(n)$ for all $n \geq n_0$ }



``f(n) = $\Theta(g(n))$'' means f(n) is an element of the set of functions g(n).



Here is a graphical depiction of $\Theta$.

Click mouse to advance to next frame.


next up previous
Next: Example: Up: l1 Previous: Growth of Functions