What is the meaning of the symbol $C^\infty$ (often used in defining a smooth functions)? I'm a student of physics, and my knowledge of mathematical symbols is sloppy.
2026-05-15 06:04:32.1778825072
What is the meaning of the symbol $C^\infty$?
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Is the set of functions with infinitely many continuous derivatives, that is $C^\infty(A,B)$ is the set of functions from $A$ to $B$ that have continuous derivatives of order $k$ for every $k\in\mathbb{N}.$