1 example from real videos — listen, replay, loop.
squares of the momentum coordinates of every particle. For a single particle this gave a sphere in a 3-dimensional state space, but for N particles we get a hypersphere in 3N-dimensional space. So the question is, what is the surface area of a high-dimensional hypersphere?
Temperature and the Sackur–Tetrode Equation
squares of the momentum coordinates of every particle. For a single particle this gave a sphere in a 3-dimensional state space, but for N particles we get a hypersphere in 3N-dimensional space. So the question is, what is the surface area of a high-dimensional hypersphere?
Temperature and the Sackur–Tetrode Equation