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"various shape" is a correct and usable phrase in written English.
It means "a variety of shapes" or "different shapes." It can be used in a sentence to describe a group of objects that have different shapes. Example: The collection of sculptures included various shapes, such as circles, triangles, and squares.
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The principle has already been applied in various shape separators.
This is depicted for various shape parameters p = 1, 1.5, 2, 3, and 10.
The no-arbitrage theory of option pricing places various shape constraints on the option price function.
1. Apertures: various shape, provide a window to the lateral chambers from the lateral faces.
The demonstration of the scheme is supportive for various shape effects such as interval tension.
Analysis of Variance models are employed to examine how various shape factors influence users' emotional responses.
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Regarding 3D patterning, Hildreth et al. demonstrated that the fabrication of 3D silicon nanostructures such as sloping channels, cycloids, and spirals could be achieved by metal-assisted chemical etching using various shape-controlled catalysts (e.g., nanorods, nanodonuts, nanodiscs, nanolines, squares, grids, and star-shaped catalysts) [7].
But the fuging tune, carried to the west and south in various shape-note hymnals (which use a characteristic musical notation), remained popular outside of New England for at least another 50 years.
Mentoring takes various shapes.
General studies takes various shapes.
Internships come in various shapes and sizes.
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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