Sentence examples for achieved the solution from inspiring English sources

After a homogeneous dispersion is achieved, the solution is then subjected to laser ablation or chemical reduction.

After entering input data to the model, the results were obtained as follows: The model is solved in about 22 min (1327 s) and achieved the solution.

Once the desired pH was achieved the solution was injected into the flow system by means of a Luer-Lok® 20 ml syringe.

Once the racemization was achieved, the solution was acidified and the racemic mixture was extracted by triplicated with hexanes and evaporated at reduced pressure to be analyzed by chiral HPLC determining the residual weight and enantiomeric excess.

The challenge was to prevent a thermal-expansion mismatch, which could destroy the fuel/cladding bond before complete bonding was achieved; the solution was to prevent the composites from cooling significantly during or between roll passes.

To this point, we achieve the solution under the assumption that both of x1mand x2mare positive.

Also, there is no description of the iterative algorithm used for achieving the solution.

Then, we propose the dynamic augmented multi-objective particle swarm optimization algorithm to achieve the solution.

However, it is difficult to achieve the solution evaluation for product environmental footprint with unascertained product information in conceptual design.

It is shown that the proposed method requires the smallest number of function (or derivative) evaluations to achieve the solution.

Proof: We first prove that the optimization problem (5) is a convex optimization problem, and then achieve the solution through the application of KKT conditions.