Symbols:C/Smooth Real Function

Smooth Real Function

$C^\infty$ or $\mathrm C^\omega$

A real function is smooth if and only if it is of differentiability class $C^\infty$.

That is, if and only if it admits of continuous derivatives of all orders.

The $\LaTeX$ code for \(C^\infty\) is C^\infty .

The $\LaTeX$ code for \(\mathrm C^\omega\) is \mathrm C^\omega .

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): $\mathrm C^{\paren r}$