(adsbygoogle = window.adsbygoogle || []).push({}); Understanding " f:S --> R"

Hi all, I am kind of confused as to what it means to do this operation:

f:S --> R

Let's say S is a set in R^2, and function f takes its values into R^3. I see this a lot but don't really understand it. Does that mean that f is a function of two variables (call x,y) and its output is a function of (x,y,z)? Not to mention when I see a function mapping to R^n. :|

Could anyone give me a few examples maybe to help me understand?

Sorry if this is confusing--as you can see I am confused!

Any help would be greatly appreciated, thank you!

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Understanding f:S -> R

**Physics Forums | Science Articles, Homework Help, Discussion**