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The phrase "with increasing value" is correct and can be used in written English.
It is typically used to indicate that something is becoming more valuable over time. For example, "The house has appreciated with increasing value since it was first built."
Exact(39)
WRSR reports higher detection rate with increasing value of ρ.
The fluoride capacity decreased with increasing value of pH.
⋄: The concentration distribution decreases with increasing value of the chemical reaction parameter.
The concentration distribution decreases with increasing value of the chemical reaction parameter.
Reponse surface graph shows that the machining rate increases with increasing value of Ton and Ip.
The displacement of the cracked cantilever increased with increasing value of crack flexibility.
Similar(21)
But if some values rise while others drop, those with increasing values will pay more tax, while those with reduced values will pay less.
All graphs increase with increasing values for k.
Errors generally increased with increasing values of the above parameters.
The thermal and solutal boundary layer thicknesses increase with increasing values of the unsteadiness parameter and Eckert number but decrease with increasing values of the buoyancy parameters.
The thermal and solutal boundary layer thicknesses increase with increasing values of the unsteadiness parameter and Eckert number but decrease with increasing values of the buoyancy parameters. .
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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