Real-valued function

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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

References

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