# Single valued surface

1. Jan 23, 2008

### coverband

What is a "single valued surface"...?

physical explanation would be appreciated....

2. Jan 23, 2008

### EnumaElish

My guess is that a s.v.s. is a single-valued function defined on two coordinates, such as z = f(x,y). For example, z = x + y.

3. Jan 23, 2008

### coverband

whats a single valued function

4. Jan 23, 2008

### HallsofIvy

Staff Emeritus
In terms of real valued functions, all functions are, by definition, "single valued". You normally only see "single valued function" or "single valued (Riemann) surface" in functions of complex numbers. Is that what you are asking about?

5. Jan 23, 2008

### arildno

Hmm..he might mean an orientable surface such that at every point of it, we may uniquely assign the proper "outwards" normal vector.

(The Moebius strip the most famous non-orientable surface)