this could convex function over R capital R regions so we assume that we have our affine functions these are parameterised by a set of slopes and a set of biases we're gonna have our set to those here's an example for R equals four we have four separate four of these distinct affine functions and if the key thing about the reason why we call the maxify splines is very conveniently if we want to approximate a convex function by these splines all we have to do is take the maximum the vertically highest in this case I find function okay so if