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The phrase "approximation is very sensitive" is correct and usable in written English.
You can use it when discussing the precision or reliability of an approximation in a mathematical or scientific context.
Example: "In this experiment, we found that the approximation is very sensitive to changes in the initial conditions."
Alternatives: "the approximation is highly responsive" or "the approximation is quite delicate."
Exact(1)
The accuracy of the pseudo-spectral approximation is very sensitive to the location of the interface, although this sensitivity is reduced when mappings are employed within the subdomains.
Similar(59)
In contrast, the approximation based on the assumption of ρ ≫ 0, t ¯ QLE, ρ ≫ 0, is very sensitive to violations of this assumption.
"It is very sensitive situation.
This project is very sensitive".
"This business is very sensitive.
This blood test is very sensitive.
Pb dissolution is very sensitive to pH.
Ultrasound is very sensitive to gallbladder disease.
This method is very sensitive but unspecific.
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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