Sentence examples for mixed dual from inspiring English sources
A mixed dual is proposed and well-known duality results are established.
A mixed dual is proposed and corresponding duality results are obtained.
However, we note that they did not discuss the converse duality theorem for the mixed dual model.
Recall the problem in Example 3.2, and we now give the mixed dual problem to (widehat{(mathrm{MP}_{mathrm{E}})}).
Soghra Nobakhtian [6] obtained optimality conditions and a mixed dual model for nonsmooth fractional multiobjective programming problems.
Mishra et al [10] gave the weak and strong duality theorems for mixed dual model under the sublinearity.
The analysis uses a high-fidelity unsteady jet flow and noise simulation for an internally mixed dual-stream nozzle.
In this work, we propose a mixed dual-scale Galerkin method, in which the degrees-of-freedom of a less computationally expensive coarse-scale approximation are linked to the degrees-of-freedom of a base DG approximation.
Two cylindrical translucent molds (Tygon tubing, TYG-030, Saint-Gobain Performance Plastic, Maime Lakes, FL, USA) were positioned over the primed ceramic surfaces and freshly mixed dual-cured resin cement (RelyX CRA, 3M ESPE, St. Paul, MN, USA) was placed into the molds to fill their internal volume without loading on the resin cement-ceramic specimen.
Two-perceptron artificial neural network correlations were proposed for the prediction of vapor liquid equilibrium for mixed dual-solvents single electrolyte systems, and validated over an extensive VLE database (2,900 data, 16 binary solvents, 24 salts, 11 cations, 6 anions).
With vector G-invexity, he proved new duality results for nonlinear differentiable multiobjective programming problems, and a number of new vector duality problems such as G-Mond-Weir, G-Wolfe and G-mixed dual vector problems to the primal one were defined in [21].
