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The phrase "a different formulation" is correct and usable in written English.
It can be used when discussing an alternative way of expressing an idea or concept.
Example: "In order to clarify the concept, we can consider a different formulation that emphasizes its key components."
Alternatives: "an alternative expression" or "a revised version".
Exact(44)
3.46pm from Lloyd: I thought of a different formulation.
The other fish-oil study released Saturday, called VITAL, looked at the effect of a different formulation of Omega-3 fatty acids in a drug called Lovaza.
The first credit is for 20 percent of research expenditure that exceeds a baseline amount or 14 percent using a different formulation.
The American version of Clear has a different formulation and only one of the 11 varieties in the women's line is anti-dandruff.
She mentions them only in passing, and shows no curiosity about a different formulation of the struggle (though it would be legitimate to point out that white women with influential husbands could take risks impossible for others).
This week, as well as passionately believing that everyone (or everyone else) had a role in the fight for gender equality, he was also ardent for HS2 – in a different formulation that allowed him to separate adverb and verb.
Similar(16)
Basically, we will present a formal derivation of the equivalence through a somewhat different formulation from the one of García-Cortés and Toro [ 10].
In tracing community to the munus, Esposito offers a radically different formulation where the munus implies the constant potential of a 'diminishment of one's own goods and in the ultimate analysis also of oneself' (Esposito 2006: 50).
Mittelmark et al. offer a slightly different formulation when they argue that "having the capacity to perform a task is an essential but not sufficient condition for good performance" [ 11]p.3).
But Secretary of State Colin L. Powell used a slightly different formulation to the "regret" expressed last week.
Michael D. McCurry, the White House spokesman, tried a somewhat different formulation, reaching to celestial geometry.
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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