Yes, but it doesn’t quite match what’s in the manual. The manual says:
1st order speed (gradient)
The speed of diffusion of the low-frequency wavelet layers in the direction defined by the 1st order anisotropy setting.
2nd order speed (laplacian)
The speed of diffusion of the low-frequency wavelet layers in the direction defined by the 2nd order anisotropy setting.
3rd order speed (gradient of laplacian)
The speed of diffusion of the high-frequency wavelet layers in the direction defined by the 3rd order anisotropy setting.
4th order speed (laplacian of laplacian)
The speed of diffusion of the high-frequency wavelet layers in the direction defined by the 4th order anisotropy setting.
Whereas the video says:
So in the video, at least there’s no unit error: each operation modifies a rectangular array of pixels by a vector space multiplied by the speed, so they are all doing the same kind of thing. Of course, the exact modification isn’t specified.
I think maybe there’s some “pun” (like how Δ = ∇² because Δf = ∇⋅∇f) going on in the manual description, so there’s a sense in which the 2nd and 4th order speeds are similar to the 1st and 3rd, but it doesn’t make sense to me.