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The phrase "a given part of the" is correct and usable in written English.
It can be used when referring to a specific section or element of something that is already established or understood in context.
Example: "In this study, we will analyze a given part of the data set to draw our conclusions."
Alternatives: "a specific section of the" or "a particular segment of the".
Exact(20)
It's a given, part of the freedom of expression valued by a civilised world, though hardly itself a civilised gesture.
The university has also developed a plan linking schools in a given part of the country with specific colleges.
Whether or not Bigelow and Boal directly endorse torture, they certainly naturalise it – make it seem a given part of the contemporary world and one that you'd better learn to live with, bro.
In the United States, the Federal Communications Commission in 1996 established a level of 1.6 watts per kilogram -- or 2.2 pounds -- of human tissue as the highest amount of radio waves a device can emit when held against a given part of the body.
Buchanan and Faith (1987) formalized secession as an "internal exit" from a given part of the population.
The solution utilizes Field Programmable Gate Array (FPGA) as a flexible module that is used to implement hardware acceleration of a given part of the image processing algorithm.
Similar(40)
Data density is an indicator of how much more are the sequences concentrated in a given part of sequence space relative to the rest of the space.
An analogous reconstruction of the entire CNS-environmental system from a given part of it is often done in the opposite direction.
Somewhat surprisingly, they found that mestizos in a given part of Mexico tended to have the same "rare" genetic variants as their indigenous neighbors.
By this time, alcohol is a given part of our culture, like TV and the Internet.
In this paper, the Isoform Protein Set (IPS) represents the protein sets originating from a single given part of the genome or transcriptional unit.
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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