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The phrase "as a function of the number" is correct and usable in written English.
It is typically used in mathematical or scientific contexts to describe how one quantity depends on another quantity, often represented as a variable.
Example: "The output of the equation changes as a function of the number of inputs provided."
Alternatives: "depending on the number" or "in relation to the number".
Exact(59)
(b) Programmable non-reciprocal states as a function of the number of ports.
(b) Directivity of the designed antenna as a function of the number of directors.
Estimated minimal residual sum of squares as a function of the number of clusters in -means.
We plot the goodness of fit as a function of the number of predictors used in the model.
The accumulated weight loss was measured as a function of the number of revolutions.
We present key magnet results as a function of the number of beams.
Cognitive deficits increase as a function of the number of mood episodes, either depressions or manias (Kessing and Andersen, 2017; Post et al, 2012).
To this end, we obtained the between-condition variation as a function of the number of no-variation genes, in two families of cases.
Using a previously described power calculation18, we estimated the minimum gene mutation frequency that can be distinguished accurately as a function of the number of tumour exomes analysed.
(c d e f) Average clustering 〈C〉, number of triangles 〈n3〉, size of giant component 〈S〉, path length 〈L〉 as a function of the number of layers merged.
(e) Count of CGC-SNV genes as a function of the number of cancer tissue types in which each gene has been detected thus far.
More suggestions(18)
as a function of the quantity
as a function of the incidence
as a function of the outcome
as a function of the employment
as a function of the proportion
as a function of the contents
as a function of the pressure
as a function of the interface
as a function of the convergence
as a function of the parameter
as a function of the input
as a function of the agitation
as a function of the embryo
as a function of the noise
as a percentage of the number
as a function of the operating
as a function of the amount
as a function of the correlation
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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