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Discover LudwigThat phrase is not correct or usable in written English.
The correct phrase would be "based on the assumption" or "from an assumption." Here is an example: "From an assumption of the Earth being round, we can deduce that gravity pulls objects towards its center."
Exact(60)
From Assumption 1 (esp.
From assumption, we have (4.7).
From assumption, we get (3.7).
From assumption (iii), it is obvious.
where the inequality follows from assumption (H9).
(The last inequality follows from Assumption (1.6)).
HWME has come into truth from assumption.
From assumption (H2),, so, clearly is bounded.
From assumption (A1), we can see that.
since from Assumption 1 since,, and as.
Hence from assumption (ii), we have (3.17).
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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