Real-valued function

Definition

A function is said to be real-valued if the co-domain is the set of real numbers, [ilmath]\mathbb{R} [/ilmath]. That is to say any function ( [ilmath]f[/ilmath] ) and any set ( [ilmath]U[/ilmath] ) such that:

• [ilmath]f:U\rightarrow\mathbb{R} [/ilmath]

See also

• Extended-real-valued function
• The class of smooth real-valued functions on R-n
• The class of [ilmath]k[/ilmath]-differentiable real-valued functions on R-n