The phrase "achieved for a given" is correct and usable in written English.
It can be used in contexts where you are discussing outcomes or results that have been reached under specific conditions or parameters.
Example: "The results of the experiment were achieved for a given set of variables, demonstrating the effectiveness of the new method."
Alternatives: "attained for a specific" or "realized for a particular".
The optimum water content for maximum dry density which results in maximum strength can be achieved for a given amount of work done on the soil in compaction.
Internal grid-point placement can be achieved for a given boundary distribution by adding continuous and discrete source terms in the BEM formulation.
Thermodynamic performance comparison of ORC using different working fluids (R123, R245fa, R600, R601a, R245ca, R141b) was achieved for a given amount of heat absorbed by the system.
The recent past has seen increased research efforts into how optimal process designs can be systematically achieved for a given chemistry using mathematical optimization of process network superstructures.
We consider whether the iCVD films should have minimized thickness or maximized non-conformality, in order to maximize the permeability achieved for a given value of LEP.
It is shown that the desired amount of force and deflections for tapered IPMCs can be achieved for a given voltage.
The outage capacity is the maximum transmission rate that the system can achieve for a given outage probability [11].
Furthermore, we observe that, as expected, the lowest error we can achieve for a given time discretization is only dependent on the number of advection steps that have to be made in order to reach that tolerance (thus the method of order six is clearly the preferred choice in this case).
A sample size calculation of 295 showed that a minimum of 5.6% precision would be achieved for any given estimate of percentage.
The cooperation of family members may be required to achieve diagnosis for a given individual, and, once accurate diagnosis of that individual has been determined, there may be implications for the diagnoses of other family members.
However, practically, no method can guarantee to achieve this for a given data set, not even for simulated data when a very large number of samples is available.
