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The phrase "assume up" is not correct and not usable in written English.
It seems to be a miscombination of words and does not convey a clear meaning in standard English usage.
Example: "You should assume up the responsibilities of the project." (This is incorrect.)
Alternatives: "take on" or "accept".
Exact(7)
The Treasury Department will use its bailout fund to assume up to $5 billion of losses.
MA, which has a market value of $1.64 billion, said it would assume up to $280 million of Albaugh's debt.
Ross says that his team is negotiating with tenants who could assume up to 22 million square feet in aggregate, though that will take some master salesmanship.
Another notable point is that, regarding the voltage range within which we are working, it is necessary to assume up to 2 sub-bands for the calculation of the current in the used nanoribbon which is of armchair type with N = 16, because considering the distance between the sub-bands, the second sub-band practically plays an important role in the current calculation.
Also the convergence of the boundary traces g k and of the, ensures a bound on the sequence c k. Since the sequence of functionals {I k } is uniformly coercive, from the fact that I k (u k ) ≤ C, we infer a bound on the sequence ; therefore, we can assume, up to a subsequence, that.
With u being now a fixed SOLA to (17), we consider the associated sequence { u k } ⊂ W loc 1, p from Definition 8 and note that using a standard diagonal we may assume, up to passing to not relabelled subsequences, that D u k → D u a.e.
Similar(52)
Questions remain over the difficult financial position of the French state-owned power company EDF, which will assume up-front costs, which some unions in France argue could jeopardise the firm's survival.
For Dao, giving up control of production as well as the potential money she could make per unit (Dao is making a percentage of the sale of total pieces sold) is worth it since she doesnt assume up-front risk.
Internal migration fluctuates in level with the economic cycle and its housing component in particular, but we assume "ups" and "downs" cancel out over the longer term.
"I have assumed up until very recently that the mistakes were rare and unusual".
He sought to negate the position assumed up till that point by both the Jewish and Christian hierarchy that one had a choice between either Judaism or Christianity.
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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