The phrase "are implemented to obtain" is correct and usable in written English.
It can be used when discussing methods or processes that are put into action to achieve a specific goal or result.
Example: "Various strategies are implemented to obtain better results in the project."
Alternatives: "are employed to achieve" or "are used to secure".
The virtual displacement principle and calculus of variation techniques are implemented to obtain the equilibrium equations.
Different cavity designs are implemented to obtain directional laser emission from the whispering gallery mode lasers.
Half-factorial and central composite designs are implemented to obtain a minimum number of representative slope realizations to model.
Zero-crossing and wavelet signal processing spectrum decomposition procedures are implemented to obtain phase and group velocities and their dispersion properties.
The genetic algorithm and differential evolution algorithm are implemented to obtain the suitable parameters for optimization design and vibration isolation purpose.
The optimization methods such as genetic algorithm, particle swarm optimization and hybrid approach of them are implemented to obtain optimal connection weights involved in the developed smart technique.
We therefore recommend to use μ ℓ to set-up an adaptive scheme and check the implementation, while ϱ ℓ should be implemented to obtain the most effective realization.
Therefore, the partial AR technique, which resolves a subset of the ambiguities, is implemented to obtain a high success rate (Teunissen et al. 1999; Zinas et al. 2013; Wang and Feng 2013).
After identifying clusters, an averaging step was implemented to obtain "super" AE with improved SNR.
Besides, MIMO can also be implemented to obtain the diversity gain.
Furthermore, innovative electrode shapes and channel configurations must be implemented to obtain the high separation efficiencies.
