feltkoordinaterne
Feltkoordinaterne, or field coordinates, denote the component functions that describe a field once a coordinate system or local frame is chosen on a manifold. In mathematics and physics, a field assigns to each point a quantity — a real number, a vector, or a higher‑rank tensor — and the feltkoordinaterne are the coordinate expressions of that assignment relative to a basis.
For a scalar field f on a space M, the feltkoordinaterne are simply the values f(p) at
Under a change of coordinates, the components mix according to the Jacobian of the transformation, while the
In physics, field coordinates are used to express physical quantities in a chosen frame, such as the
See also: coordinate chart, tangent bundle, tensor fields, field theory.