Understanding a notation: what is $C^2(\mathbb{R})$?

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Please help me decipher the abbreviations in the third row: it's describing a function $f$ that belongs to a set $C^2(\mathbb{R})$. What is $C^2(\mathbb{R})$?

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The set $C^2(\mathbb R)$ is the set of all functions on $\mathbb R$ that are twice continuously differentiable.