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The phrase "error within" is grammatically correct and can be used in written English
It is typically used to describe a mistake or problem that exists within a particular context or situation. Example: "The company's financial statements were meticulously reviewed, but there was still an error within the data entry process that needed to be addressed."
Exact(60)
He says he realised his error within minutes of signing Busted's record contract.
The newspaper has since apologised for the announcement, citing an "error" within their "internal procedures".
In a statement the broadcaster said: "Channel 4 News apologises unreservedly for publishing a draft article in error within its website.
But he knew very well the allied, and graver, scandal: the Church's habit of concealing evidence of any error within its walls.
The retailer admitted the error within hours of it being discovered, urging customers with concerns to call the careline on 0800 068 6727.
A third function of doctrine is polemical: the defense of the faith against misinterpretation and error, within or without a religious tradition.
"Given the severity of this new test and the newness of the technology required to measure these small levels of pollutants, the commission has also allowed a margin for error within the functioning of the test equipment".
Like many Internet startups, WikiLeaks appears to be in a messy transitional state of growth, but unlike Facebook, for example, WikiLeaks has a very small margin of error within which it can effectively grow.
A position estimation error within 60 m is obtained.
And the worst angle output error within ± 0.2° is achieved.
Recursive segment subdivision is used to keep the approximation error within specified threshold limits.
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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