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Questions about asymptotic notations such as Big-O, Omega, etc.
44
votes
O(·) is not a function, so how can a function be equal to it?
$O$ is a function
$$\begin{align}
O : (\mathbb{N}\to \mathbb{R}) &\to \mathbf{P}(\mathbb{N}\to \mathbb{R})
\\ f &\mapsto O(f)
\end{align}$$
i.e. it accepts a function $f$ and yields a set of functi …