The following is the definition of negligible functions I was given:
Definition 2.1: $\nu$ is negligible if for every constant $c \ge 0$ there exists an integer $k_c$ such that $\nu(k) < k^{−c}$ $\;\;\forall k\ge k_c$.
Another way to think of it is $\nu(k) = k^{−\omega(1)}$
I understand the definition of a negligible function but I can't find anything explaining the last line.
I am tasked with proving that $2^{−\omega(\log n)}$ is a negligible function in an assignment, but what does the omega function mean?