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Parameter estimates found by the LM method significantly improve solution fits found in previous studies (see Figure 3) [ 7, 8, 12, 13].

Experimental results show that the proposed SD-MA displays a significantly improved performance in terms of solution accuracy and convergence speed.

The experiment studies show that our approach can achieve a near-optimal solution with a significantly improved performance in computation time.

On the other hand, it was shown that once the ML diversity is achieved through a LRA technique, the performance may be significantly improved with this solution [19].

As seen from Figure 3, the present solution obtained using the limit equilibrium method significantly improves the solution of Chen and Rosenfarb (1973) and Soubra (2000) by 42.79% and 17.01% respectively for ϕ = δ = i = 45°.

The introduction of 1,8-octanedithiol as a processing additive to the polymer/PCBM blend solution significantly improved the device performance relative to devices prepared from the blend solution without the additive.

It is shown that the adoption of derivative-based optimization methods within hybrid optimization strategies significantly improves the solution quality of continuous-time simulation optimization problems.

To significantly improve this solution method grid anisotropy is treated within the Gauss Seidel iteration in such a way that the strong couplings in the linear system are resolved by tridiagonal systems constructed along these directions of strong coupling.

According to the characteristics of the Cartesian grids, the Kutta condition is applied by specially computing the gradients on Kutta-faces without directly assigning the potential jump to cells adjacent wake faces, which can significantly improve the solution converging speed.

We tested this two-layer approach with the numerical examples described in Section 3, but concluded that it does not significantly improve the solution for the surface electric field.

The electrocatalytic activity of carbonized polyaniline nanostructures (Carb-nanoPANI) towards oxygen reduction reaction (ORR), estimated in 0.1 mol dm−3 KOH solution, was significantly improved upon a hydrothermal treatment in 1 mol dm−3 KOH solution.

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