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The phrase "a fundamental parameter for" is correct and usable in written English.
It can be used when discussing essential factors or criteria that influence a particular process, system, or outcome.
Example: "Temperature is a fundamental parameter for determining the rate of chemical reactions."
Alternatives: "a key factor for" or "an essential criterion for".
Exact(22)
It is a fundamental parameter for evaluating the presence of ISI at the receiver.
Measurement of soil moisture is a fundamental parameter for irrigation scheduling.
Detection range is a fundamental parameter for a microwave life detector.
The modulus of elasticity is a fundamental parameter for the structural design.
Sample quality is a fundamental parameter for the successful diagnosis of respiratory viruses.
Stiffness modulus is a fundamental parameter for fatigue evaluation in asphalt concrete (AC).
Similar(37)
Another important variable is the position of the local vacuum level, which is a fundamental parameter of the surface indicating the barrier for electron emission.
For a given irradiance wavelength range, σi is likely a fundamental parameter of PSII across oxygenic photosynthetic organisms and growth conditions.
The stress drop is a fundamental parameter of earthquake dynamics.
This chronic uncertainty is no more a problem than gravity: it simply is (a fundamental parameter of our existence).
Temperature is a fundamental parameter that plays an important role for numerous applications and scientific researches.
More suggestions(15)
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a basic parameter for
a fundamental criterion for
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a critical parameter for
a fundamental requirement for
a fundamental element for
a pivotal parameter for
a fundamental data for
a common parameter for
a fundamental right for
a fundamental indicator for
a characteristic parameter for
a fundamental matrix for
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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