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The phrase "assumption about how" is correct and usable in written English.
It can be used when discussing beliefs or ideas regarding the manner in which something occurs or is done.
Example: "The assumption about how the project will be completed needs to be clarified before we proceed."
Alternatives: "belief regarding how" or "presumption about the way".
Exact(17)
What has been shaken, however, is the assumption about how these issues would play.
You often feel they already have an assumption about how they're going to play things.
And pointing to a recovery had been part of the initial assumption about how to survive in 2015.
Even under his most cautious assumption about how much the recent boom has flattered the public finances, Mr Brown says he will meet his budget-balance rule with a bit to spare (see chart).But only a bit.
It turns out, for example, that one assumption about how grasses and pine needles catch fire — a significant factor built into the computerized models of fire spread used to fight fires — may be completely mistaken.
There will be another drop in fiscal 2006, the Congressional Budget Office estimates, basing its calculations partly on the tax cuts themselves (80 percent will have been paid out by 2005) and partly on an assumption about how much taxable income the economy will generate.
Similar(43)
Take the assumptions about how long liquidity can disappear for.
There's some naïve assumptions about how this would function".
That, in turn, led to assumptions about how large a tsunami might strike the coast.
But they have already challenged assumptions about how German democracy should work.
But most of the assumptions about how that would happen are being discarded.
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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