Sentence examples for qualification assumptions from inspiring English sources
And the necessary optimality conditions for problem (1) are given under the strict complementarity and linear independence constraint qualification assumptions.
In this subsection, we discuss the optimization conditions for problem (20) under strict complementarity and linear independence constraint qualification assumptions.
The necessary optimality conditions for several models of the SOCBLP are given under the strict complementarity and linear independence constraint qualification assumptions.
In this subsection, we reformulate problem (21) as a single level optimization problem, and then we discuss its optimization conditions under strict complementarity and linear independence constraint qualification assumptions.
end{aligned} By our generalized Guignard constraint qualification assumption, (z in operatorname{cl}[operatorname{co}(T(Q^{1} bar{x}))]), and hence there exists a sequence ({z^{m}}_{m=1}^{infty} subsetoperatorname{co}(T(Q^{1} bar{x}))) such that lim_{mtoinfty} z^{m} = z.
Research conducted by the Barbara Lee Family Foundation (BLFF) shows that voters often need to overcome doubts about women candidates' qualifications based on assumptions related to gender.
The opinion may also go on to set forth a nonstandard list of assumptions and qualifications.
Constraint qualifications, which are technical assumptions for Lagrange duality, play an essential role in proving its duality theorems.
In order to compare the present results with the previously reported results, we describe the difference between their constraint qualifications, which are technical assumptions for the duality.
Mordukhovich and Outrata [5] has established upper estimations of the coderivatives for the solution mapping (3) with (mathcal{K}^{p}) being a closed convex set under appropriate calmness assumptions and constraint qualifications.
This conclusion is based on an assumption that requires qualification, i.e. all adult females face the same probability of dying irrespective of whether they have the ability to respond positively to increased temperatures or not.
