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The phrase "alternative reformulation for" is correct and usable in written English.
It can be used when discussing different ways to express or restate a particular idea or concept.
Example: "The alternative reformulation for this theory provides a fresh perspective on the subject matter."
Alternatives: "different phrasing for" or "revised expression of".
Exact(1)
An alternative reformulation for bipolar max-(T_{M}) equations was developed by Li and Jin [25] so that the associated linear optimization problem can be treated by integer optimization methods.
Similar(59)
A reformulation for Setting 1 can be done analogously.
In this paper, we give a reasonable reformulation for solving SSOCCP, which is called ERM model.
In this research, a variational reformulation for magneto-hydrodynamic (MHD) problem is derived.
We present the first attempt to give the robust reformulation for solving the box-constrained stochastic linear variational inequality problem.
Moreover, Luo and Wang [6] presented the ERM and CVaR reformulation for solving stochastic generalized complementarity problem.
For the peers' and co-workers' questionnaires, all original items were found to be relevant; 6 items on the peer questionnaire needed reformulation for clarity.
Sometimes it seems like reformulation is an alternative path for the pharmaceutical companies to exploit marketing exclusivity and captivity.
Alternative Careers for Researchers.
Alternative Careers for Astronomers.
"No alternative for anything".
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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