For a system of masses attached by springs, we use [Kap, p.675, (10.61)] as our model. However, when the friction increases, and total mass approaches 0, [Kap, p.675, (10.61] becomes
the heat equation [Kap, p.685, (10.87)]. In this limiting case, we should use
the heat equation as our model to explain that disturbance is propagated instantaneously [Kap, p.685, l.−2-p.686, l.3; p.688, l.16-l.28], although the object under consideration is still a system of masses attached by springs rather than heat. Thus the property of displaying instantaneous disturbance is not inherent in the object itself. In fact, it is the differential equation [Kap, p.685, (10.87)] alone that characterizes the heat phenomenon described above.
|Electrostatics||Gauss' law||The divergence theorem|
|∥parallel||∥[Jack, p.179, l.−6-l.−5]|
|Magnetostatics||Ampère's law||Stokes' theorem|
By the parallelism between electrostatics and magnetostatics, Stokes' theorem may be considered the magnetostatic version of the divergence theorem.