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The phrase "a user-defined" is correct and usable in written English.
You can use it to describe a concept or object that has specific parameters or settings determined by the user. For example, "The user-defined settings on this computer allow each user to customize the interface to their own preferences."
Exact(56)
In this way, the system can track a user-defined sfGFP expression profile.
Then, a nonlinear viscoelastic constitutive model is implemented by means of a user-defined subroutine.
The algorithm is implemented in Abaqus as a user-defined subroutine.
The material model is implemented in a user-defined subroutine that is compiled with DIANA.
A user-defined keyring can be used instead of TCPIP/UserRing.
The stk_build program takes an infile string and a user-defined outfile as input.
The command is called with a user-defined function pointer named "myassignfunc".
Similar(4)
The ID can be a user defined string or integer.
Find all ChaMPlane sources within a given radius from a user defined coordinate.
Generate a large random integer a (a>c.|G|, c is a user defined constant).
We perform clustering of optical flow vectors with magnitudes above a user defined threshold.
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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