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2016Why Convexity Matters Operationally 21Why do trading desks care whether an execution-cost model is convex rather than merely smooth?数学简单essay未尝试免费2019Convexity of Logistic Loss 24Show that ell(z)=ln(1+e -z ) is convex on R.数学中等derivation未尝试免费2020Convex Margin Penalty With a Soft Capacity Wall 25The margin term grows smoothly but sharply as the leverage coordinate approaches its cap. Show that r(x) = -ln(1-1x) + 3x 2 is convex on x < 1.数学困难derivation未尝试免费