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The phrase "a function of the total number" is correct and usable in written English.
It can be used in contexts involving mathematics, statistics, or any situation where a relationship between variables is being described.
Example: "The efficiency of the process is a function of the total number of inputs used."
Alternatives: "dependent on the total number" or "related to the total number".
Exact(37)
(c) Richness, S, measured as the number of distinct OTUs and (d) number of reads of the most abundant OTUs as a function of the total number of reads.
A phenomenological description of the fatigue life of engineering components can be given either by plotting the applied stress range as a function of the total number of cycles to failure, i.e., according to the Wöhler's curve, or, after the advent of fracture mechanics, by plotting the crack growth rate in terms of the stress-intensity factor range, i.e., using the Paris' curve.
Figure 7 Recognition rate for HRC feature as a function of the total number of Gaussians.
In Figure 5, we show the dependence of the MRSA prevalence as a function of the total number of patient days at the unit.
The complexity of the above procedures is a function of the total number of quantization bins, and thus of the number of the nodes involved.
Figure 5 Error event analysis for (1296,648) and (1296,864) LDPC codes as a function of the total number of decoding iterations.
Similar(23)
The middle and lower panels in figure 2 show similar plots as a function of the mentors total number of citations and total number of publications.
a, Cumulative distribution function of the total number of occurrence of each heptamer in the genome.
On the other hand the total number of joints and members in a dome is function of the total number of rings exist in the dome.
Managing interaction functions came as the least elicited type of functions, accounting for 7% of the total number of functions.
The function returns the total number of bytes written to the file.
More suggestions(15)
a function of the total flow
a function of the total sample
a part of the total number
a function of the total traffic
a function of the total tilt
a function of the total benzoate
a function of the total electron
a function of the total size
a forecast of the total number
a measure of the total number
a function of the total function
a function of the total time
a function of the total sampling
a function of the total ignition
a function of the total power
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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