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The phrase "a substantial error in" is correct and usable in written English.
It can be used when discussing a significant mistake or flaw in a particular context, such as a report, analysis, or process.
Example: "The audit revealed a substantial error in the financial statements that could impact the company's overall performance."
Alternatives: "a major mistake in" or "a significant flaw in".
Exact(10)
This offset is negligible for older samples, but a substantial error in these younger ages.
The election would not be over, but we might be at the point where Mr. Obama would have to make a substantial error in order to lose.
Therefore, we choose an upper-atmospheric mixing ratio of 0.3% as the Moist Greenhouse limit, as this should not lead to a substantial error in the TSI required for our planet to become uninhabitable.
It is shown that, while the modal frequencies obtained using the FE method approximate those obtained analytically with negligible error (less than 1%), there is a substantial error in the resulting estimates of the modal effective nonlinearity.
I was not responsible for the statistical component of the project (statistics is definitely not my forte), but I did notice a substantial error in the data that affected the client's conclusions.
A large subset of parents makes a substantial error in their height self-report, which leads to erroneous MPTH.
Similar(50)
We have carefully looked into the instructions given and refused, and do not perceive any substantial error in respect to them.
This is unlikely to introduce any substantial error in cholecystectomy rate as day-case cholecystectomy was of limited use during the period studied.
But if a substantial error is present in one, physiologically plausible example, other possibilities would be comparably imperilled.
In the second example (Fig. 2e h), the fit to the marker frequency is also very good, but a substantial error is seen in the reproduction of haplotypes.
It's a very localised error [but] it's a pretty substantial error". In future, anyone using the CloudSpotter app will be able to contribute to reducing those errors.
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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