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The phrase "a new formulation of" is correct and usable in written English.
It can be used when introducing a revised or updated version of a concept, idea, or product.
Example: "The researchers presented a new formulation of the drug that promises to enhance its effectiveness."
Alternatives: "an updated version of" or "a revised approach to".
Exact(60)
My husband glares at me as if I were pointing out a new formulation of Rogaine.
Uprima is actually a new formulation of an old drug, apomorphine, that increases levels of the brain chemical dopamine.
Dow has been seeking approval of a new formulation of 2,4-D that is much less prone to drifting and vaporization.
Eli Lilly & Company said today that it had filed an application with the Food and Drug Administration to sell a new formulation of its blockbuster antidepressant Prozac that could be taken once a week.
That is why doctors were cheered last week by the announcement that a new formulation of the chickenpox vaccine, given to adults, seemed to protect about two-thirds of them against shingles.
A new formulation of dissipativity condition is proposed.
A new formulation of the DCT is then derived.
A new formulation of crystal plasticity is proposed.
A new formulation of sevelamer, sevelamer carbonate, was licensed in 2009 under the brand name Renvela®.
Despite appearances, Wyclif's opinion on this subject is not just a new formulation of the theory of the complexe significabile.
A new formulation of the optimization problem for the real-time strategy is presented.
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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