This is from some online notes. let x(s) be a curve in R^3 parameterised by s. Then f(x(s) represents the values of f along the curve.
My question is this. Is the graph of f in R^4 ? I though it would be as f is a function of 3 variables but in the notes its looks like it defines a surface in R^3
In the same way that for , represents a movement in the plane, interpret it for as a movement of a particle in a straight line .
Could you transcribe the exact formulation of the question?It next talks about x(s) lying on a flat surface of f and tangent vectors just to give you some context.
Its the 2 and 3 pages of this : https://vlebb.leeds.ac.uk/bbcswebdav...65/2.3-2.7.pdf. I don't understand what the function f is. Thanks.