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The phrase "are defined for quantifying" is correct and usable in written English.
It can be used in contexts where you are explaining the purpose of certain definitions or criteria related to measurement or assessment.
Example: "The parameters of the study are defined for quantifying the impact of the intervention on patient outcomes."
Alternatives: "are established for measuring" or "are specified for assessing".
Exact(1)
The GRS indices are defined for quantifying the individual, interaction and total contributions of the uncertainty in each random input variable to the time-dependent reliability.
Similar(58)
The second one, "sooting stability", is defined for quantifying the stability of soot particles against oxidation.
A score is defined for each synaptic vesicle image to quantify the neuron activity.
The appropriate number of cycles corresponding to the exponential range was defined for every gene in order to quantify the amplification products.
An experiment designed was defined for the mechanical tests, in order to quantify the effects of both the resin and the marble percentage on the material properties, as well as to identify a possible correlation between these factors.
Mortality rates were defined for each class.
NRY lineages were defined for each haplogroup.
Equation (4) is defined for positive exponents.
Similarly, x can be defined for introns.
Log SDQ is a parameter defined for quantifying V ˙ A / Q ˙ inequality in the multiple inert gas elimination technique [ 6, 7] and is the second moment (dispersion) of the V ˙ A / Q ˙ distribution on a log scale.
Different similarity measures are defined to quantify the matching degree.
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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