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The phrase "achieved no further" is correct and usable in written English.
It can be used to indicate that no additional progress or success has been made beyond a certain point.
Example: "Despite their efforts, the team achieved no further advancements in the project after the initial phase."
Alternatives: "made no additional progress" or "reached no further milestones."
Exact(4)
With "normal" output achieved, no further improvement was expected, and concerted efforts were about to cease.
As soon as the target for that day has been achieved no further treatment might be necessary.
Eighteen of these were interviewed, at which point saturation was achieved (no further information was being generated), therefore study invitations ceased.
Items were finalized at this stage once content saturation was achieved (no further changes recommended by either the patients or their parents) based on the cognitive interviewing findings.
Similar(56)
A series of applications to a hypothetical problem yielded expected cost reductions for site remediation as much as 85% compared to conventional non-optimized approaches, while also increasing the probability of achieving "no further action" status in a specified timeframe by more than 60%.
This is the refractory period following sexual climax in which a person can achieve no further orgasm and is filled both with pleasure and melancholy.
The remainder of the war was quiet for Stuart, achieving no further successes against submarines.
Recruitment was concurrent with data collection and analysis, and continued until saturation was achieved, meaning no further unique themes emerged from successive interviews as determined by discussion between two independent reviewers [ 25].
This hasn't, of course, held back the million or so enthusiasts out there, and if you're looking to see what a bit of perseverance, skill and 100 lines of code can achieve, look no further than the ingenious individuals on this page.
The solution was allowed to reach equilibrium, which was achieved when no further absorbance change was observed (5 30 min).
Categorization and coding was continued until data saturation was achieved, and no further categories emerged.
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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