mapping will be convex any questions about this very simple baseline stuff okay so they'll recall the nice thing about these these particular splines is that as soon as you fix the parameters right the slopes and the offsets wherever those hyper planes are these affine varieties cross that defines a partition and that's really where things get interesting right is to think about the partitioning that goes on in these maxify spline operators because that allows us to think a lot about the geometry of what's going on in a deep