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"given those assumptions" is correct and usable in written English.
You can use it to introduce ideas or statements that rely on certain assumptions. For example, "Given those assumptions, it is reasonable to expect that sales will increase in the next quarter."
Exact(1)
For given those assumptions, it follows immediately that \ \Pr(T) \le 0.5\), and so the rest of the argument merely moves from that conclusion to the conclusion that \ \Pr(T) \lt 0.5\).
Similar(59)
"This group is very highly credentialed, and given those particular assumptions, they should rise at the same level," said Anthony Mayo, a coauthor and professor at Harvard Business School.
Given these assumptions it is easy to see where the large numbers come from.
Given these assumptions, (5) is of course false.
Given these assumptions, should one also be a mathematical platonist?
However, given these assumptions, natural selection is assumed to act without constraint on the trait.
Given these assumptions, we can plausibly conclude that self-reports of happiness are incorrigible.
Given these assumptions, let me sketch out a few high-level implications.
Given these assumptions, it is quite possible to make an educated prediction about how the election will turn out.
Given these assumptions we would need 70 participants.
Given these assumptions, the final sample size required was 596 patients (298 in each arm).
More suggestions(1)
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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