The phrase "a function of scale" is correct and usable in written English.
It is typically used in contexts involving mathematics, economics, or any field where the relationship between size and performance or output is being discussed.
Example: "The efficiency of the production process is a function of scale, meaning that larger operations tend to yield better results."
Alternatives: "dependent on scale" or "related to scale".
Those "human" qualities are obviously a function of scale, age, and the imprint of hand labor, though perhaps not merely.
The fire ecologist Kevin Tollhurst, giving evidence before the commission, said that Australian fire science tends to be based on observation of smaller fires, but that it seems increasingly likely that fire behavior is partly a function of scale.
Finally, as these players' analytics become ever more sophisticated as a function of scale, their ability to rationalize how branded goods of all kinds are marketed and sold will grow dramatically.
This effect can account for why the mechanisms and character of fault terminations would tend to vary as a function of scale.
Anisotropy of the grinds was characterized as a function of scale, using length-scale fractal analyses in transverse and longitudinal directions.
The F-test applied to the relative areas as a function of scale also indicated the ranges of scales over which the differentiation was possible.
This is supported by the work of Van De Ville and colleagues4, who found that fMRI signal can be well-described as a function of scale-free EEG microstates.
Figure 2: Cavity performance as a function of scaling.
The variation of the ionic conductivity as a function of scaled inverse temperature (Tg/T) differs for the two systems.
In Figs. 2(a) and 3(b) we plot the real and imaginary parts of eigenvalues at a selected steady state as a function of scaled wavenumber (q/2pi) to define the dispersion curve.
Fig. 17 Permeability as a function of scaled porosity (see text for details) for sandstones sampled from exploration well EPS-1 at Soultz-sous-Forêts (Alsace, France) (data unique to this study), the three quarry sandstones (data unique to this study), sandstones from EPS-1 measured by Griffiths et al. (2016), and Fontainebleau sandstone measured by Bourbié and Zinszner (1985).
