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Discover LudwigThe phrase "the thickness with which" is correct and usable in written English.
It can be used when describing the degree or measurement of thickness in relation to an object or material. Example: "The thickness with which the paint was applied affected the final appearance of the surface."
Exact(1)
Richard is a host for whom the word "distracting" doesn't quite do justice to the thickness with which he lays on his "impish rascal" schtick.
Similar(59)
The short-circuit current density (JSC), however, does not show simple relations with the thickness, in which sample D has the highest density of 22.41 mA/cm2.
Electrochemical impedance spectra (EIS) revealed capacitive behavior, owing to the protective, very resistant layer, the thickness of which increased with soaking time.
We also demonstrated that a porous Si layer is formed on the Si wafer underneath the SiNWs, the thickness of which increases with the increase of the etching time.
It was also found that a continuous porous Si layer is formed underneath the SiNWs during the MACE process, the thickness of which increases with the increase of etching time.
An amorphous phase is observed at the interface, the thickness of which increases with the B concentration in the film, while the film crystallinity is seen to improve with film thickness.
The both reciprocals of PMR signal and the capacitance proportionally increased with the thickness which linearly grew with increase of anodic potential.
The cross sectional structure of NAAMs fabricated in oxalic acid can be divided into two main layers namely, (1) a thin protective oxide layer of about 500 nm with disordered pores and (2) a thick oxide layer with ordered pores, the thickness of which depends on the target thickness (i.e. about 20, 30, 40 or 50 μm).
The scaling and self-similar behavior of the investigated flames suggest that a mixed regime is established, with a momentum-controlled cold core and a buoyancy-controlled high-temperature boundary layer, the thickness of which varies significantly with pressure, as expected from Peclet number scaling.
It is seen that the equivalent Young's modulus may increase or decrease with increasing the thickness which is associated with some previous controversial ideas.
This is reflected in the thickness estimates which show increasing variance with the degree of corrosion.
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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