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The phrase "a function of the distribution of" is correct and usable in written English.
It can be used in contexts involving statistics, mathematics, or data analysis to describe how one variable depends on the distribution of another variable.
Example: "The outcome of the experiment is a function of the distribution of the sample population."
Alternatives: "dependent on the distribution of" or "determined by the distribution of".
Exact(15)
For this purpose, an adequate software needs to be applied, capable of detecting percolation thresholds as a function of the distribution of the functional powder particles.
Intervention is a function of the distribution of international power and the self-interest of the prominent power-holders.
In nonlinear mixed models, the maximum likelihood estimator of the regression coefficients is typically a function of the distribution of random effects, and so the misspecified choice of the distribution of random effects can cause bias in the estimator.
We quantified the interference of distracter stimuli on sustained visuo-spatial attention as a function of the distribution of attended positions in the visual fields (bilateral/unilateral, left/right, upper/lower), distracter positions (peripheral, between attended positions, between fixation and attended positions) and task difficulty.
We study this average pairwise mutual information in random Boolean networks (RBNs) as a function of the distribution of Boolean rules implemented at each element, assuming that the links in the network are randomly placed.
Exact linear aggregation is to be distinguished from exact nonlinear aggregation, where aggregate demand is a function of some representative level of aggregate income, which itself can be a function of the distribution of income over the individuals.
Similar(44)
Below this depth, porosity varies as a function of the grain-size distribution.
(B) Distribution of the mean decoding performance across the neurons as a function of the time integration window.
This indicated that the continental limitation for AMF distribution might be a function of plant distribution.
The United Nations supports, in part, the World Health Organization, whose chief function is the worldwide investigation of the distribution of disease.
The principal function of the distribution system is to loosen our mutual grip on reality.
More suggestions(16)
a map of the distribution of
a function of the imperative of
a function of the curse of
a depiction of the distribution of
a reorganisation of the distribution of
a function of the technology of
a function of the problem of
a function of the diameter of
a model of the distribution of
a regulation of the distribution of
a parameter of the distribution of
a property of the distribution of
a function of the structure of
a function of the supply of
a function of the giddiness of
a function of the deviation of
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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