Any scalar is invariant under transformations of basis, the individual terms in the sum are not.
Fields are often classified by their behaviour under transformations of spacetime.
This value does not change under transformations of space.
The main theme of this chapter is to obtain physical laws that are valid under general transformations to an accelerated frame.
An important requirement of such feature descriptors is for them to be invariant under certain transformations.
First, must produce a circle in phase space that is invariant, meaning it does not change under certain transformations.
The Montana landscape goes under radical transformations when old man winter arrives.
The family of normal distributions is closed under linear transformations.
Moreover, these "forces" do not transform under coordinate transformations as vectors.
We say central fields are invariant under orthogonal transformations around 0.