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The phrase "regardless of thickness" is correct and commonly used in written English.
It means "without taking into account the thickness" or "despite the thickness." Example: "Regardless of thickness, the material was able to withstand extreme temperatures." This sentence means that the material's ability to withstand extreme temperatures was not affected by its thickness.
Exact(6)
A crack was generated at 433 K, regardless of thickness.
The bending strength was 120 MPa, regardless of thickness.
The process of mass transport is endothermic and the heat of mixing is 2.65 kcal mol−1 regardless of thickness.
Smooth muscle actin was a major component of the lesional vessel walls regardless of thickness, but although most contained some fibrillary elastin, none had inner elastic laminae as prominent as those seen in adjacent true arteries.
The assumptions used in this model are the TiO2 films are homogeneous regardless of thickness and photoelectrons generated at any point will move in all directions with equal probability.
AFM was conducted, and a similar granular nanoscale morphology was observed for all films regardless of thickness (see Supporting Information, Figure S2).
Similar(54)
Despite this common approach, in this paper, the concept of cut-off thickness is revised and a numerical procedure is proposed, regardless of the thickness of the joint, by means of the implicit gradient method.
The constancy of the wavelength suggests that the thickness of the fluidized layer is also approximately constant, regardless of the thickness of the tuff layer.
By convention, the ending -ity means the property of a material, regardless of its thickness and the ending -ance refers to the property of a specific body of given thickness.
Shish-kebab-like morphology is found roughly 100 μm from the surface of plates, regardless of the thickness of plates.
Enhancing the adhesive attraction can indeed decrease the friction of graphene, regardless of the thickness of graphene and the kinds of AFM tip.
More suggestions(15)
regardless of History
regardless of usage
regardless of profession
regardless of import
regardless of gender
regardless of experience
regardless of format
regardless of outcome
regardless of race
regardless of anything
regardless of payment
regardless of row
regardless of negligence
regardless of intent
regardless of competition
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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