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The phrase "a function of its magnitude" is correct and usable in written English.
It can be used in contexts involving mathematics, physics, or any field where relationships between variables are discussed.
Example: "The force exerted by the object is a function of its magnitude and direction."
Alternatives: "dependent on its size" or "related to its extent".
Exact(1)
The hazard of any natural process can be expressed as a function of its magnitude and the annual probability of its occurrence in a particular region.
Similar(58)
We run ComEst on the images from Blanco Cosmology Survey (BCS) and compare the derived completeness as a function of magnitude to the limiting magnitudes derived by using the Signal-to-Noise ratio (SNR) and number count histogram of the detected sources.
It might also be potentially useful to start the indicated treatment with a low dose and then increase it as a function of the magnitude of the response.
As is seen from Fig. 6, the spatially averaged distributions do not decrease monotonously as a function of magnitude and thus the most likely magnitude is non-zero.
The probability of acceptance increased as a function of the magnitude of benefits for the other and decreased as a function of the magnitude of costs to oneself.
The amount of stiffness reduction was observed to be a function of the magnitude of the fatigue loading applied to the specimen.
The amount of stiffness reduction was observed to be a function of the magnitude of applied fatigue loading on the specimen.
The fatigue behavior was investigated as a function of orientation, magnitude of the electric field and manganese dopant.
The misfit stresses at the length-scale of grain families, measured by neutron diffraction, were shown to be a function of the magnitude of the tensile pre-strain.
The extent of aggregate breakup is a function of the magnitude of the turbulent force as well as the total duration of the force event.
The signal-to-noise ratio per pixel for a 45 minute exposure as a function of aperture magnitude (1 arcsec2 diameter aperture). The SNR per pixel is ~26 at R=21.
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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