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f element_of C^n

What does it mean for a function, f, to be an element of C^n?

My guess would be: f is differentiable n times. Please clarify.
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ozo
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it could mean a function with domain n and range C
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ASKER

What would it mean to have a "domain n"?

If we go with a specific example:  C^infinity

Thanks
ASKER CERTIFIED SOLUTION
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ozo
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Great, thank you.