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The phrase "By error" is correct and usable in written English
It can be used to indicate that something happened mistakenly or unintentionally.
Example: "The document was sent to the wrong recipient by error."
Alternatives: "By mistake" or "Inadvertently."
Exact(57)
That voter is disenfranchised by error.
His message resounded to thousands below And tens more by error from his Samsung phone.
Quite by error, Boldface had been sent a celebrity-wrangling invitation to this event.
More civilians could get killed, whether by error, carelessness, or worse.
By trial and by error, California continues to light the way for the rest of America.
Yet "not a penny had been lost by error or default".
If the data is contaminated – by error, selectivity or bias – so too will be the patterns learned by the software.
The uncertainty was discussed by error analysis.
Similar(3)
This trial-by-error approach can bring about a lot of headaches, as you will come in contact with all sorts of personalities.
Even when cases are dismissed, people can be shadowed for years by error-ridden criminal records.
To enhance proteolytic activity, the gene encoding KP-43 was mutagenized by error-prone PCR.
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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