A classical particle (think a pebble) exists in 6 dimensions, 3 positions and 3 momenta.
Nothing (in the classical, non-quantum) setting is solely determined by position coordinates.
Nothing (in the classical, non-quantum) setting is solely determined by position coordinates.
Recently there has been super interesting research on using these nurbs as ansatzfunctions e.g. for FEM stuff. They got a lot of applications.