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The phrase "assume while" is not correct and does not convey a clear meaning in written English.
It may be intended to suggest a conditional scenario, but it lacks clarity without additional context.
Example: "Assume while we are discussing the project, that all team members are present."
Alternatives: "presume during" or "consider while".
Exact(14)
To explore the multicaregiving roles African-American grandmothers assume while self-managing their diabetes.
Her exclusive Swiss finishing school has even taught her the correct posture to assume while hailing a taxi.
Emphasis is given on degrading systems, since real-world structures do not have infinite displacement capacity as many inelastic models assume, while such systems are able to explicitly take into consideration the effect of stiffness and strength degradation.
She spends her days observing the behavior of rodents, looking at everything from how often mother rats groom their pups, to what posture they assume while nursing, to how pups react to stress later in their lives.
Some fellows receive partial stipends –the award of such a stipend is based on the nature of the responsibilities the applicant would assume while a fellow, and their relation, relevance, and application to Berkman's funded projects.
An intriguing gift idea for the person with everything: the Squatty Potty, a footstool designed to tuck around the toilet and redress the posture most of us assume while going to the loo, and much promoted this month in New York stores.
Similar(46)
The new constitution also established an executive presidency, which Obote assumed while continuing to serve as prime minister.
Ethanol production by Saccharomyces cerevisiae was assumed, while hydrogen and methane were assumed to be produced by cultures of hydrogenogenic and methanogenic microbial communities, respectively.
I assumed, while reading it, that it was pretty much a novel with the postmodern twist that the main character had his name.
It is also illustrated that, using ELECTRE III, a non-compensatory aspect of material selection can be assumed while attaining a reasonable sensitivity to weight fluctuations.
A reference road tunnel geometry is assumed, while the release occurs from ground level, at the centre of one lane and in the middle of the tunnel.
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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