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Discover LudwigThe phrase "volume element" is grammatically correct and can be used in written English.
It is typically used when describing a specific unit or portion of a larger volume. For example: - The volume element of this cube is 5 cubic meters. - In order to calculate the volume of this irregularly shaped object, we will need to divide it into smaller volume elements and add them together. - The volume element of this liquid is crucial in understanding its properties and behavior. - The volume element of this music piece is particularly difficult for the string section to play in unison.
Exact(60)
In 1990, Lewis returned to Urbana-Champaign to teach, and began to work on 3-D printing, which she considered the perfect tool for constructing materials "voxel by voxel" — volume element by volume element.
Representative volume element.
L, dimension of representative volume element.
Denote by dσ the volume element.
The volume element is transformed by via (2.10).
Let ω be the bi-invariant volume element.
Length of the representative cubic volume element sides.
The representative volume element is discretized into finite elements.
The microstructural peculiarities are usually being studied within the concept of representative volume element (RVE).
The volume element in the metric (4.30) is given by the expression (4.31).
Note that the Lagrangian associated to the volume element of the induced metric is − det h.
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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