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The phrase "a given process" is correct and usable in written English.
It can be used when referring to a specific process that has been previously mentioned or is understood in the context.
Example: "In order to achieve the desired results, we must follow a given process that has been established by the team."
Alternatives: "a specific process" or "an established process".
Exact(60)
Thus, once he established the theoretical basis of a given process, he investigated ways to further develop industrial applications.
Provided it has some practical use, it covers an underlying idea or concept, although it does not mean the holder has a monopoly on a given process, idea or invention.
But voxels are much larger than neurons, and, in the long run, the best way to understand the brain is probably not by asking which particular voxels are most active in a given process.
Before optogenetics, neuroscientists were faced with the intractable nightmare of separating causation from correlation, knowing (sometimes) which neurons were associated with a given process without knowing which ones actually performed a given computation.
Himod is responsible for monitoring system calls generated by a given process.
It also identifies the family of all processes which are similar to a given process.
The system enables the control of any hardware that acts during a given process.
The controller then transmits data to control devices, which act upon a given process.
Rule (Cong) enlarges the set of transitions derivable from a given process p, as the following example shows.
Thus, with many quality programs, it takes several years before all the operations within a given process are improved.
Under a given process time, the average plasma charging current density, J p can be then projected by Eq. (4).
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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