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The phrase "assuming no further" is correct and usable in written English.
It can be used in contexts where you want to indicate that a condition or assumption is being made without any additional changes or complications.
Example: "The project will proceed as planned, assuming no further delays occur."
Alternatives: "provided there are no additional" or "if there are no more".
Exact(20)
It is assuming no further welfare savings.
Second, the analysis accounts only for countries' pledges under the Paris Agreement, assuming no further strengthening of the commitments in years after 2030.
At this point, assuming no further cooling-inhibiting rearrangements occur, the ion temperature decreases with a time constant similar to that for the single-ion case.
(This is because organic soils better retain moisture). Assuming no further improvement, could the world — with a population expected to peak at 10 billion — survive on these yields?
Chief executive Simon Lee said: Assuming no further major weather events in 2013, we now expect the impact of adverse weather across the group to be around 1.5% above our assumption.
A rejection of the contract by the 12,800 mechanics and cleaners would give the airline and machinists a week to reach another agreement before workers would become free to strike on Feb. 20, assuming no further government intervention.
Similar(40)
Once a card is reported missing, you assume no further liability for unauthorized activity on, or use of, your card.
The company's updated forecast assumes no further weather disruptions and stable fuel prices for the rest of the quarter.
When HP last provided guidance, they "assumed no further deterioration in the U.S. economy," Fiorina said in a conference call.
Further, there is no discussion that radioactive iodine while having a theoretical biological life, so assumed to be of low risk, yes mitigated by iodine intake assumes no further contamination.
The scenario assumes no further breakthrough in political, social, technological and cultural changes in these countries, while innovation and adoption of new technologies in production, management, infrastructure and administration will be at levels observed during the 2000 2015 period.
More suggestions(16)
saying no further
assuming no new
assuming no in-breeding
assuming no major
assuming no prior
assuming no seasonal
assuming no associated
assuming no meaningful
assuming no other
assuming no serious
assuming no steep
assuming no such
assuming no additional
assuming no unforeseen
assuming no Congressional
assuming no future
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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