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The phrase "a single arbitrary point" is correct and usable in written English.
It can be used in contexts where you want to refer to one specific point that is chosen without any particular criteria or reason.
Example: "In our analysis, we will consider a single arbitrary point on the graph to illustrate our findings."
Alternatives: "one random point" or "a lone arbitrary point".
Exact(1)
Some previous studies have modelled the difference between the CD4 cell counts measured at initiation of treatment and at a single arbitrary point during ART defined a priori.
Similar(59)
A single arbitrary sample is taken as a point of interest (POI) by evaluation of the highest peak in the sum of absolute differences between the traces and mean.
If we compare the points at n = 0 and n = 1, it is clear that choosing the conformation with the single lowest energy for each peptide was always better than choosing a single arbitrary conformation.
Let (x=x_{0}in A) be an arbitrary point.
A single ray is cast toward an arbitrary point of the object, and the object's surface is measured using a camera.
Initialization: Given a tolerance, fix an arbitrary point and choose,.
Let be an arbitrary point in and be an - -sequence with initial point.
In this system, an arbitrary point O (the origin) is chosen on a given line.
Free range is ultimately an arbitrary point between the wild and the domesticated.
Take an arbitrary point (x^{ast}inGamma).
Let be an arbitrary point in for.
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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