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The phrase "and improve the coefficient" is correct and usable in written English.
It can be used in contexts related to mathematics, statistics, or any field where coefficients are relevant, indicating an intention to enhance or increase a specific coefficient value.
Example: "To achieve better results in our analysis, we need to adjust our variables and improve the coefficient."
Alternatives: "and enhance the coefficient" or "and increase the coefficient."
Exact(2)
In order to increase the refrigeration capacity and improve the coefficient of performance (COP), an economizer arrangement is used in the refrigeration system with screw refrigeration compressor.
The results show that the integration of the proposed control system with the modified air conditioning system leads to increase the energy saving and improve the coefficient of performance over a wide range of ambient temperatures (35 57) °C.
Similar(58)
The optimal operating conditions found by the vortex search algorithm significantly reduced the required energy of the single mixed refrigerant process by ≤41.5% and improved the coefficient of performance by ≤32.8% in comparison with the base case.
Habitat was found to improve the coefficient of determination (R2) slightly but only for the ZOM and SOM orf regression models.
This paper demonstrates optimal condenser fan control to improve the coefficient of performance (COP) of air-cooled chillers.
By defining the various subgroups via the "Barthel-Index", we were able to improve the coefficient of determination (R^2) by a further 5 percentage points.
The following steps are proposed as an iterative method to decrease the effect of trends in the residuals and improve the robust estimation of coefficients.
The DLC/spinel composite film could significantly reduce the friction coefficient and improve the wear resistance of the 304 stainless steel especially at ambient temperature.
In addition, the low-temperature plasma carburising treatment can considerably reduce the friction coefficient and improve the fretting-wear resistance of the Ni-free austenitic stainless steel in Ringer's solution.
It is possible that other porphyrin derivatives, or semiconducting molecules capable of stabilizing nanotubes in water, could be used to further enhance the Seebeck coefficient and improve the ability of these composites to convert waste heat into electricity.
The latter, so-called "duplex process", combines a nitriding pre-treatment in order to obtain a hard and stiff substrate and a PVD coating in order to reduce the friction coefficient and improve the wear resistance of tools and mechanical components.
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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