Consider a surface S on which a scalar field f is defined

[coverband]

"Consider a surface S on which a scalar field f is defined"

"Consider a surface S on which a scalar field f is defined"

what does "on which is defined" mean

phys descript answers appreciated!

 

[coverband]

"Consider a surface S on which a scalar field f is defined"

"Consider a surface S on which a scalar field f is defined"

what does "on which is defined" mean

phys descript answers appreciated!

 

[nicksauce]

Suppose I have a surface parametrized by (x,y). Then I have a scalar field f(x,y), for example f(x,y) = x + y. Then I have a surface S on which a scalar field f is defined. For example defining the temperature at every point on a sphere.

 

[HallsofIvy]

It means there is a function defined which, to every point of the surface, assigns a scalar (number).

 

[HallsofIvy]

Double post! I am going to combine the two.

 

[coverband]

thanks