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The phrase 'error was demonstrated' is correct and usable in formal written English.
It is commonly used when referring to a mistake that has occurred or a process that has been tested and failed. For example: "Multiple tests were conducted and an error was demonstrated when the system failed to respond."
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The sensor's abilities to measure ground-reaction forces with high precision and low interference error were demonstrated.
A validation error is demonstrated with NM_001197320.1 c.281A>T, which specifies an incorrect reference nucleotide.
Also, the reductions of the estimated relative errors are demonstrated in the numerical examples.
The effects of the eccentricity related errors are demonstrated in numerical examples.
The convergence of the action NN error and weight estimation errors is demonstrated while considering the NN approximation errors.
The efficiency of our approach and its robustness to sensor noise and position errors are demonstrated through simulations.
The process is found to be resistant to short-term error drift when operating in a controlled environment but systematic and random errors are demonstrated to be highly dependent on geometry.
The type I error rate was demonstrated to be controlled and is conservative.
A steady (non-significant) progression of impairment on WCST perseverative errors (PE) was demonstrated from basic symptom at-risk (BS), ultra high-risk (UHR) and first-episode (FE) groups (BS: z=−0.74; UHR: z=−0.88; FE: z=−0.97).
This facebow can be easily fabricated with minimal materials and adjusted to fit different patients; its error in tooth registration was demonstrated to be less than 1 mm.
Based on the expression of pairwise error probability (PEP), it was demonstrated that the maximum diversity order is the sum of the source-to-destination channel length and the length of the shortest channel among the relay links.
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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