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The phrase "a final solution is obtained" is correct and usable in written English.
It can be used in contexts where a conclusion or resolution has been reached, often in problem-solving or decision-making scenarios.
Example: "After thorough analysis and discussion, a final solution is obtained that satisfies all parties involved."
Alternatives: "a conclusive solution is reached" or "an ultimate resolution is achieved."
Exact(1)
This process is then repeated several times until a final solution is obtained.
Similar(59)
The raising of data error suppresses the noise and as a result a smooth final solution is obtained.
Therefore, the actual level of robustness can be calculated only once the optimization process has converged and the final solution is obtained.
The final solution is obtained by combining each sub-result.
Using the above method, the disc profile is optimized and final solutions are obtained.
When no network violation occurs and all the wind variability scenarios are accommodated, a final robust SCUC solution is obtained.
A stock solution is generally manufactured and the test solution is obtained by dilution of this stock solution according to the desired final solution.
The final collagen solution was obtained by mixing 7.5 volumes of collagen (2 mg ml−1) (Collagen R, Serva, Heidelberg, Germany) with one volume of 10×MEM, 1.5 volumes of NaHCO3 (15.6 mg ml−1) and approximately 0.1 volume NaOH (1 M) to adjust the pH to 7.4.
Mineralization stock solution was prepared by suspending hydroxyapatite (7.37 g, 34 40% Calcium content, Alfa Aesar) in 500 mL aqueous solution of urea (2 M), followed by the addition of concentrated hydrochloric acid under constant stirring until a clear soluble solution was obtained (final pH 2.5 3.0).
The final mixture was vortexed until a clear solution was obtained.
As a result, a transparent solution was obtained, and it is the final solution for this experiment.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com