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Discover LudwigSuggestions(1)
The phrase "a slightly different basis" is correct and usable in written English.
It can be used when discussing variations or modifications in foundational concepts or principles.
Example: "The new proposal is built on a slightly different basis than the previous one, which allows for more flexibility."
Alternatives: "a somewhat altered foundation" or "a marginally distinct premise".
Exact(2)
But the ONS added that earlier data, calculated on a slightly different basis, indicated that the level of youth unemployment was higher in the mid-1980s.
India's number-crunchers provide an alternative breakdown of GDP by expenditure, which is also calculated on a slightly different basis (at market prices rather than factor cost).
Similar(58)
Strine takes a slightly different tack.
Let's try a slightly different pattern.
So it's a slightly different perspective.
Lynda tells a slightly different story.
Mr. Ramsey offers a slightly different explanation.
Ms. Bailey has a slightly different take.
"We are a slightly different club.
Vietnam has a slightly different problem.
Then he took a slightly different tack.
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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