https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 Null sets and essentially smooth Lipschitz functions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13022 Wed 11 Apr 2018 14:18:53 AEST ]]> A chain rule for essentially smooth Lipschitz functions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13023 m → R is arcwise essentially smooth on Rm and each function fj : R^n → R, 1 ≤ j ≤ m, is strictly differentiable almost everywhere in Rn, then g ○ f is strictly differentiable almost everywhere in Rn, where f ≡ (f₁,f₂,...,fm). We also show that all the semismooth and all the pseudoregular functions are arcwise essentially smooth. Thus, we provide a large and robust lattice algebra of Lipschitz functions whose generalized derivatives are well behaved.]]> Wed 11 Apr 2018 12:51:09 AEST ]]>