Changes

The figure on the right illustrates this for <math>\psi(q) = e^{-q^2}</math>, or <math>\psi(x, t) = e^{- (x - ct)^2}</math>.  One can clearly see the "wave", graphed as a function of <math>x</math>, moving to the right as time progresses.

The figure on the right illustrates this for <math>\psi(q) = e^{-q^2}</math>, or <math>\psi(x, t) = e^{- (x - ct)^2}</math>.  One can clearly see the "wave", graphed as a function of <math>x</math>, moving to the right as time progresses.

The quantity <math>v</math> in the wave equation is the speed of propagation of the wave.  Dimensional analysis of the derivatives shows that it has the dimensions of velocity.  When dealing with electromagnetic waves, it is common to use <math>c</math>, the standard symbol for the speed of light.

The quantity <math>c</math> in the wave equation is the speed of propagation of the wave.  Dimensional analysis of the derivatives shows that it has the dimensions of velocity.

==In Higher Dimensions, and the Laplacian==

==In Higher Dimensions, and the Laplacian==