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The phrase "a precise set of" is correct and usable in written English.
It can be used when referring to a specific and clearly defined collection of items, criteria, or parameters.
Example: "The researchers developed a precise set of guidelines to ensure the accuracy of the experiment."
Alternatives: "a specific collection of" or "a defined group of".
Exact(34)
And inside that was a precise set of scales known as a torsion balance.
"If he responds, if he moves to lift the emergency law, to provide a schedule for a precise set of reforms and a precise set of actions....we might begin to question whether something different is happening," Kerry said.
The volunteer force allows for recruitment of a higher-quality soldier with a precise set of skills.
The non sequiturs of Stein's libretto carry with them a precise set of sentiments -- passion, frustration, anger, hope and celebration.
It has now yielded to a precise set of measures, on the understanding that two crucial ones are left out.
However, the openness of Cascoland's strategy – which did not include a precise set of outcomes, only a working method – can be considered its strength.
Similar(26)
When this wildly popular German progressive-house producer and D.J. comes to town, you can expect a precise set full of the usual dancefloor-pleasing devices: heroic synthesizer lines, sudden (or gradual) volume changes and lots of wooshing sounds.
(Sisario) PAUL VAN DYK (Friday and Saturday) When this wildly popular German progressive-house producer and D.J. comes to town, you can expect a precise set full of the usual dance-floor-pleasing devices: heroic synthesizer lines, sudden (or gradual) volume changes and lots of whooshing sounds.
This new set of indices is created based on time, volume, frequency and represents a resolution to provide a more precise set of prediction indices.
As a result, it should be possible to tie a neutrino detection to a specific pulse, which should make for a more precise set of measurements.
And it will be a huge success if the first talks yield a clear, precise set of goals for subsequent debate and action.
More suggestions(16)
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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