$f\in C(\mathbb{R})$. What does it mean?

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$f\in C(\mathbb{R})$. What does it mean?

My guess is "Differentiable on $\mathbb{R}$" but I'm not sure..

Thanks.

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Should mean that $f$ is continuous on $\mathbb R$. This is also often written as $C^0(\mathbb R)$ where $C^n(\mathbb R)$ means that the functions in this set are $n$ times continuously differentiable.