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The phrase "error of the" is grammatically correct and can be used in written English.
It is typically used to refer to a mistake or fault that is attributable to something or someone. Example: The error of the faulty product was fixed by the manufacturer before it was released to the market.
Exact(60)
It was the Red Sox's sixth error of the Series.
Verdasco's 50th error of the match makes it 40-0.
It was Boone's second error of the game.
It was Boston's fourth error of the game.
It was just Cabrera's ninth error of the season.
Standard error of the regression.
standard error of the mean.
The error of the approximation is controllable.
Error bars: standard error of the mean.
Typical error of the measurement was ±5%.
aPooled standard error of the difference.
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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