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The phrase "admitted mistake" is correct and usable in written English.
It can be used when acknowledging an error or fault that has been recognized or confessed.
Example: "After reviewing the report, she admitted mistake in her calculations, which led to the incorrect results."
Alternatives: "acknowledged error" or "confessed fault".
Exact(3)
But at the same time, the Federal Reserve partly through an admitted mistake in judgment and partly through faulty techniques, alos later admitted created a massive expansion of money and credit.
The map's data management still needs improvement a consequence, in part, of limited funding, and also of Ryan's admitted mistake in thinking she should do all the research first, before getting input from the project's digital cartographer, Mark Brown, and digital-humanities specialist, Bill Pascoe.
The map's data management still needs improvement a consequence, in part, of limited funding, and also of Ryan's admitted mistake in thinking she should do all the research first, before getting input from the project's digital cartographer, Mark Brown, and digital-humanities specialist, Bill Pascoe.
Similar(57)
"They have admitted mistakes.
"I think he could have admitted mistakes.
A subsequent investigation admitted mistakes were made.
I have admitted mistakes in managing this issue.
But, looking back, he admitted mistakes had been made.
The implication that they have not, as a group, admitted mistakes in the past is inaccurate.
They were embarrassed by admitted mistakes in a high-profile investigation.
Speaking quickly but confidently, he admitted mistakes.
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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