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The phrase "a small advantage over" is correct and usable in written English.
It can be used when comparing two entities, indicating that one has a slight edge or benefit compared to the other.
Example: "In the competition, she had a small advantage over her rivals due to her extensive experience."
Alternatives: "a slight edge over" or "a minor benefit compared to".
Exact(14)
Republicans have a small advantage over Democrats in enrollment, but there are many independent voters.
And because they would be putting down their feet many times, some women stopped on Canal Street to buy $8 flip-flops, a small advantage over high-heeled shoes for such a journey.
Froome (SKY) 1pt 3.48pm: 30km to go and there are now five riders with a small advantage over the peloton; Voigt and Anders Lund, of SaxoBank, are at the front of that group.
This collaboration, he claims, has given "European industry a small advantage over the competition in the world".
However, a recent estimate of the ability of the Neanderthal body shape to withstand cold temperatures showed only a small advantage over early modern humans with a less "cold-adapted" body form (Aiello and Wheeler 2003).
Although Rosberg's pole will give him a confidence boost after seeing Hamilton turn a 29-point deficit into a small advantage over just two races, it may ultimately mean little.
Similar(46)
CNFpred has a smaller advantage over the others on the SALIGN benchmark.
In tension type headache, two meta-analysis [58, 59] revealed a small advantage of true acupuncture over sham acupuncture, in fact linked to one heavy positive study [60].
A comprehensive efficacy review of biofeedback (BFB) [66] concluded that true BFB is not significantly superior to sham BFB in migraine (effect size 0.25, confidence interval 95% 0.49 0.00) but did show a small advantage of true BIB over sham in tension-type headaches (effect size 0.50, confidence interval 95% 0.26 0.75).
Although the difference was not statistically significant, this may indicate a small advantage of a rectangular over a cylindrical shape.
In this study of Swedish settings, we found a small advantage for the PHCC over the ACC and better results for men, especially in the PHCC setting.
More suggestions(15)
a modest advantage over
a slight advantage over
a little advantage over
a narrow advantage over
a limited advantage over
a marginal advantage over
a huge advantage over
a massive advantage over
a legal advantage over
a crucial advantage over
a financial advantage over
a small increase over
a small decline over
a small satchel over
a clear advantage over
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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