What is the meaning of $\mathbb{N_0}$?
To put it into context, I have in my notes,
$f^{(k)}$, $k \in \mathbb{N_0}$ is a continuous function on $[-\pi, \pi]$.
How is it different to saying $k \in \mathbb{N}$?
[Math] the meaning of $\mathbb{N_0}$
notation
Best Answer
There is no general consensus as to whether $0$ is a natural number. So, some authors adopt different conventions to describe the set of naturals with zero or without zero. Without seeing your notes, my guess is that your professor usually does not consider $0$ to be a natural number, and $\mathbb{N}_0$ is shorthand for $\mathbb{N}\cup\{0\}$.