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The phrase "ability to show a" is correct and usable in written English.
It can be used when discussing someone's capacity or skill to demonstrate something, often followed by what is being shown.
Example: "Her ability to show a deep understanding of the subject impressed the entire class."
Alternatives: "capacity to demonstrate a" or "skill to present a".
Exact(22)
We have the ability to show a quick-strike offense.
Somaliland's situation underlines the international community's unerring ability to show a failure of leadership.
"I was intrigued by his ability to show a crowd," she said of Mr. Neville's work.
And perhaps someone should remind ABC's technical staff that the ability to show a game from multiple angles does not necessarily mean those options should be overused.
The small number of subjects, along with these experimental constraints, may have negated our ability to show a difference in lipolysis after smoking cessation.
(b Assumption by another borrower of a farm storage facility loan is permitted subject to county committee approval and the subsequent borrower's ability to show a satisfactory credit history.
Similar(38)
Our ability to show an association between higher omega-3 index and improved insulin sensitivity is likely due to the relatively high plasma concentrations of n-3 PUFA observed in our participants.
Study design may also have influenced our ability to show an association.
The older baseline age of our subjects may have attenuated our ability to show an effect of age on dementia.
Therefore, constraining the addition of the second medication exclusively to the Week 3 visit would have had deleterious effects on our ability to show an additive effect, as well as doing the child a clinical disservice.
Unfortunately, we were not able to measure the changes in PA over the follow-up period, which may have limited our ability to show an association between activity levels and changes in body composition.
More suggestions(16)
opportunity to show a
determination to show a
opportunities to show a
ability to address a
ability to simulate a
ability to catalyze a
ability to reach a
ability to develop a
ability to exert a
ability to evoke a
ability to absorb a
ability to withstand a
ability to regenerate a
ability to pursue a
ability to explore a
ability to produce a
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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