Difference between revisions of "Real-valued function"
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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, [ilmath]\mathbb{R} [/ilmath][1]. 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
- The class of [ilmath]k[/ilmath]-differentiable real-valued functions
References
- ↑ Introduction to Smooth Manifolds - Second Edition - John M. Lee - Springer GTM
