and we can define a complexity measure C as the integral of the of the tangent hessian along the manifold so you can just think of it roughly speaking is the low look you have F it's a peacefull at the continuous piecewise defined function and what we're looking at is the local deviation of F from flat so f if f of X was a completely flat function this measure would be 0 if F was very very jagged II meaning locally when you look over a few regions it's jumping up and down wildly this will be a large this will be a large number yes well