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The phrase "as a function of generation" is correct and usable in written English.
It is typically used in contexts involving mathematical, scientific, or statistical discussions where a variable is dependent on the generation or iteration of a process.
Example: "The results of the experiment varied significantly as a function of generation, indicating that later iterations produced more reliable data."
Alternatives: "in relation to generation" or "depending on generation".
Exact(10)
Finite element calculation is used to assess the effective Young's modulus as a function of generation parameters.
Values of the second virial coefficient, A2, have been calculated from Zimm plots and it was found that A2 decreased as a function of generation to close to zero for the highest generation (i.e. highest molecular weight) polymers.
Fig. 3 Mean population fitness as a function of generation in experiment 2. Fitness is calculated as the match with a template and ranges from 0 to 5. The figure shows all data from the student labs (34 trials).
Fig. 1 Mean population fitness as a function of generation in experiment 1. Fitness is calculated as the average distance moved by the animals, measured using the procedure described in "Methods".
Figure 2a shows the population for each of the two runs as a function of generation.
The map expansion as a function of generation is easily obtained from the haplotype probabilities.
Similar(50)
Figure 9 shows the change in the mean log10 variance) of the four estimates of F as a function of generations since a 100-fold expansion in population size, from Ne = 100 to N = 10,000.
A potential shortcoming of our model is that we report the time to inbred as a function of generations, not the number of litters or calendar time required to produce enough viable offspring.
To estimate evolutionary responses to selection, we used the posterior mode of the distribution of both the intercept (i.e. an estimate of the relative level of the trait for each treatment at generation 4), and the slope of the linear regression of each treatment as a function of generations (i.e. an estimate of the between-generation change in the trait in one treatment relative to the control).
Specific properties of several series of dendrimers have been systematically investigated as a function of the generation number.
The optimal transmission range increases almost linearly until λ satisfies the following inequality: Figure 2 The optimal transmission range R ∗ as a function of packet generation rate λ.
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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