Erm, isn't ?
To be honest im really just looking for the difference between
and
if there is any difference. I thought they would equate to the same thing?
I fixed my original post as well as i had a small but significant mistake in the formula
No, they are not the same thing. They are not even the same "kind" of thing.
is the vector function .
is not a function at all but rather a "vector operator". If f is a real valued function then .
If is a vector valued function, say then
We could also write