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Discover LudwigThe phrase "a given set" is correct and usable in written English.
It can be used when referring to a specific collection of items or elements that have been previously defined or established in a particular context.
Example: "In mathematics, we often analyze the properties of a given set of numbers to understand their relationships."
Alternatives: "a specified set" or "a particular set".
Exact(60)
For a given set of solution conditions, the net charges on different proteins usually are unequal.
A given set of stems may thus be distinguished by either the pattern or the root.
Let (Esubseteq W) be a given set.
We consider a given set of A applications.
Finally, let (Esubseteq X) be a given set.
Let be a given set in ordered by or by.
First, it is verified whether for a given set of controllers, a switching policy satisfying a given set of constraints on the transitions among controllers exists.
In this paper, a new method for evaluating a given set of plant decompositions is proposed.
The adapted model allows adsorption calculation for a given set of temperature-pressure-fluid composition data.
The output was the electron density for a given set of input parameters.
Abduction is the problem of finding the best explanation for a given set of observations.
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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