The phrase "a function of magnitude" is correct and usable in written English.
It can be used in contexts related to mathematics, physics, or any field where relationships between variables are discussed, particularly when referring to the size or extent of something.
Example: "The gravitational force between two objects is a function of magnitude, depending on their masses and the distance between them."
Alternatives: "a function of size" or "a function of scale".
For example, plots of the number or fraction of galaxies without (w/o) redshifts as a function of magnitude can help you decide to what limit the sample is complete.
By using a quantile based metric, we can assess the change in uncertainty across individual percentiles, thereby allowing uncertainty to be expressed as a function of magnitude and time.
The results of a research concerning the characterization of elastic and inelastic displacement spectral demand as a function of magnitude, source-to-site distance, and soil type are presented.
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.
Values of stress drop as a function of magnitude are shown in Fig. 6b.
b Stress drops estimated from S waves as a function of magnitude.
(A ) Example of the temporal derivative of belief magnitude plotted as a function of belief magnitude (Equation 4 ), given an average sensory evidence of 7 units of LLR per unit time.
Given that the magnitude of alteration in transcription levels following ND was a function of time, magnitude of change in transcription levels would vary in cells sampled at different time point after stress.
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.
Figure 4 shows the mean weight of earthquakes with magnitude M > m in R over the period 2000 2009, as a function of the magnitude threshold m.
For a given initial backbone conformation, the magnitude of the two flanking rotation angles θ1,2 and θ2,3 can thus be defined as a function of the magnitude of the primary rotation angle θ1,3.
