Difference between revisions of "Real-valued function"

Revision as of 23:09, 21 October 2015

Definition

A function is said to be real-valued if the co-domain is the set of real numbers, $\mathbb{R}$^[1]. That is to say any function ( $f$ ) and any set ( $U$ ) such that:

• $f:U\rightarrow\mathbb{R}$

See also

• Extended-real-valued function
• The class of smooth real-valued functions
• The class of $k$-differentiable real-valued functions

References

1. Jump up ↑ Introduction to Smooth Manifolds - Second Edition - John M. Lee - Springer GTM