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The phrase "as a function of their distance" is correct and usable in written English.
It is typically used in mathematical, scientific, or technical contexts to describe how one variable changes in relation to another variable, specifically distance in this case.
Example: "The speed of sound varies as a function of their distance from the source of the sound."
Alternatives: "in relation to their distance" or "depending on their distance".
Exact(20)
The gravity law gives the gravitational force between any two bits of matter, as a function of their distance and the direction from one body to the other.
Figure 4 The number of descendants for the first-hop level nodes as a function of their distance to the sink under three parent selection schemes with MHR.
Left and middle plots: Average similarity of the libraries (resp., groups) of aNobii users as a function of their distance in the social network.
Translations and rotations are combined into one single, individual measure of total displacement, which is demonstrated to be substantially different between brain regions as a function of their distance from the individual origin.
For instance, when considering books as a feature, the topical alignment can be measured by computing the similarity between the book sets of pairs of users as a function of their distance on the network.
The SIFT descriptor is composed of intensity gradient magnitudes and orientations that are appropriately weighted to decrease their contribution to the descriptor as a function of their distance from Kp x,y) [24].
Similar(40)
As predicted, differences in bisection performance as a function of viewing distance were observed.
Quantitative mole fraction profiles are reported as a function of burner distance.
The phase (in cycles) of the extremal function h as a function of the distance d (in mm) to the stapes.
A significant interaction of distance, line length and starting position revealed differential effects for left and right starting positions as a function of viewing distance and line length.
The measured ion spectrum as a function of the distance identifies primary and secondary ions.
More suggestions(16)
as a function of their particle
as a function of their thickness
as a result of their distance
as a function of their loading
as a function of their composition
as a function of their structure
as a function of their behaviour
as a function of their office
as a function of their growth
as a function of their gratitude
as a function of their curing
as a function of their texture
as a means of their distance
as a function of their location
as a function of their porosity
as a novelist of their distance
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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