It's confusing because several algorithms are explained, but I believe they're actually floats in this version.
Also it's not a normal PDE because ∂f/∂t is permitted to be an arbitrary functional of f restricted to a fixed-diameter neighborhood of the point, not just an infinitesimal neighborhood.
Also it's not a normal PDE because ∂f/∂t is permitted to be an arbitrary functional of f restricted to a fixed-diameter neighborhood of the point, not just an infinitesimal neighborhood.