Understanding Scalar Fields: Assigning Values to Space

[coverband]

"A scalar field assigns every point in space to a scalar value"

Would this be a correct definition of a scalar field?

Thanks

 

[nicksauce]

I would say the correct definition would be "A scalar field assignes to every point in space a scalar value"

It is a function from R^n->R not R->R^n, the latter being my interpretation of what you wrote.

 

[mrandersdk]

I would say the correct definition would be "A scalar field assignes to every point in space a scalar value"

It is a function from R^n->R not R->R^n, the latter being my interpretation of what you wrote.

It need not to be from R^n -> R. It could be from some space M, and into some field F.

But of cause yours is the simplest example

 

[nicksauce]

It need not to be from R^n -> R. It could be from some space M, and into some field F.

But of cause yours is the simplest example

True.

 

[coverband]

Thanks