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"the precision with which" is grammatically correct and commonly used in written English.
It is typically used to describe or emphasize the exactness or accuracy with which something is done or measured. Example: The architect was praised for the precision with which she designed the building, ensuring every detail was meticulously planned and executed.
Exact(58)
Roget found Paris disconcertingly dirty but admired the precision with which Napoleon's soldiers paraded.
The precision with which Ms. Saltzman can report what is not available is impressive, and touching.
What's striking is the precision with which these skirmishes are laid out.
"The amount she does it, and the precision with which she does it — that's unprecedented".
What is new is the precision with which genes can be transferred.
The technology takes advantage of the precision with which sound waves can be distinguished by computer software.
PBS calls such scenes "historic reconstructions," and noting the precision with which they are turned out, I'll respect their visions.
The precision with which the architects balance the original and the new addition should instruct young dancers in poise.
Yet Donoghue rarely flinches, and that constancy is expressed in the precision with which she manages Jack's voice.
This virtuosity depends on the precision with which the dancers absorb everyday movement and social-dance forms into ballet technique.
Some shock has been caused by the precision with which De Beauvoir records the trivia of senility.
More suggestions(15)
the rigor with which
the clarity with which
the solo with which
the fervor with which
the passion with which
the whimsy with which
the paragraph with which
the sincerity with which
the intelligence with which
the authority with which
the accuracy with which
the placidity with which
the freedom with which
the one with which
the team with which
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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