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Wolterstorff removes even this mild constraint.
Further simplified forms of the optimal reinsurance are obtained for the premium principles under an additional mild constraint.
One advantage of dealing with the convex bi-level programming problem is that under mild constraint qualification, the lower-level problem can be replaced by its Karush-Kuhn-Tucker (KKT) optimality conditions to obtain an equivalence single level mathematical programming problem.
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"With care — we've gotta be careful — and professionalism, we plan to develop policies to increase forfeitures," Sessions told a crowd of law-enforcement officials in Minneapolis in July, previewing a federal directive to undo the Obama Administration's mild constraints on the practice.
The calculation above imposes mild constraints on the positions and orientations of the calibration patterns.
In this formulation the authors prove that their optimization has a unique solution under mild constraints.
In the first stage, a weak shadow detector filters out impossible shadow values from the set of foreground pixels by imposing mild constraints on brightness, color distortion, and RGB values.
Under some mild constraints, this dag is in fact a lattice (or partially ordered set).
Under such mild constraints decision makers might effectively cope with situations by executing an appropriate action within the time allowed [ 31] using a strategy of accelerated information processing [ 31, 32].
(Adding mild constraints, Eqs. 17 and 18, to ensure the plausibility of the general-pooling process reduces the upper bound on substitution from 57% down to 32%.) Since we have to suppose pooling, parsimony favors dispensing with substitution and its extra explanatory burden.
This is a much milder constraint than the (vert Delta E/E vert sim10^{-6}) usuadoptedopted in collisional simulations.
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