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The phrase "a precision that" is correct and usable in written English.
It can be used when discussing the level of accuracy or exactness in a particular context, such as scientific measurements or detailed descriptions.
Example: "The experiment was conducted with a precision that ensured reliable results."
Alternatives: "a level of accuracy that" or "an exactness that".
Exact(60)
Many thought it was a leap too far, requiring a precision that was simply not practical.
And they did so with a precision that is historically unprecedented.
For details of a relatively small spot on the ground, lidar provides a precision that radar cannot match.
Inhibitory microcircuits are wired with a precision that underlies their complex regulatory roles in neural information processing.
Measuring the fine structure constant to a precision that is better than 100 ppt, by atom interferometry.
Yet the audience members she then interviewed demonstrated an energy, a vocal poise and a precision that enlivened the proceedings.
However, using a precision that is too low for a given algorithm and data set will result in inaccurate results.
Athletes prepare now with a precision that is simply stunning, in part because they have tools for observing and analyzing their performance that they never had before.
The Yankees and Steiner Sports are dismantling the stadium and trying to sell off every last memento with a precision that would make an obsessive dentist proud.
Numbers are the signature of science; they allow us to describe patterns and relationships with a precision that words do not.
The original "Ghost World" captures the slack rhythms and tiny surprises of daily experience with a precision that would seem hard to replicate on screen.
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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