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The phrase "a function of average" is correct and usable in written English.
It can be used in contexts involving mathematics, statistics, or discussions about performance metrics where averages are relevant.
Example: "The success rate of the project is a function of average team performance over the last quarter."
Alternatives: "dependent on the average" or "based on the average".
Exact(46)
Journey time is a function of average speed.
Voltammetric current density has also been expressed as a function of average thickness of nanosheets.
Inset: transport number of counter ions as a function of average concentration of the solutions.
Many conventional studies have evaluated the performance of MIMO systems as a function of average SNR.
As a function of average SNR, the optimal threshold increases logarithmically.
Fig. 8 The bit error rate as a function of average transmitted SNR in channel (Eq. (5)), L = 1.
Similar(14)
Figure 7 Standard deviation of hydrogen z -position distribution as a function of averaging time.
It consists in representing the root mean square random drift errors of a measurement as a function of averaging times.
Figure 8 Mean change in E l-h as a function of averaging time for three incident kinetic energies.
Systematic calculations were performed in order to identify suitable operating conditions as a function of averaged desorbent concentrations taking into account the locally changing nonlinear adsorption equilibria.
Performance measures obtained on the basis of ten simulation runs are plotted as a function of the average number of scanned RSs, the average number of handovers, and the average message delay.
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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