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Discover Ludwig'improvement by' is correct and can be used in written English.
You can use it to refer to the process of improving something by doing something else in order to achieve the desired result. For example: "We have made great improvements to our business by hiring a new team of experts."
Exact(59)
Furthermore, only one patient had mild improvement by angiography.
Improvement, by Joan Silber (Counterpoint).
Dr. Hassan estimated significant improvement by the end of June.
In answer to Plato, the best art results in moral improvement by conveying good emotions.
But we need population-wide change, not just exemplary improvement by the few.
Only a shorter running time would be an improvement, by any measure.
When there was no sign of improvement by 12 weeks, I despaired.
Schools classed as "requiring improvement" by Ofsted to have new head teachers.
The Senate bill mandates an ambitious 40percentt improvement by 2020.
Professional meteorologists, however, see much room for improvement by the news media.
Case Western Reserve University has embraced the call for change and improvement by the philanthropist Peter B. Lewis.
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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