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"further improvement on" is a correct and usable phrase in written English.
For example, you could use it in a sentence like this: "We have made further improvement on our customer service to ensure the best experience for our customers."
Exact(45)
Although further improvement on the growth conditions is necessary to improve selectivity, basic information for the design of the SA-MOVPE of InGaN has been obtained, which will contribute to InGaN-based monolithically integrated multi-wavelength devices.
The optimization of the electron transport layer in the present work is one of the most important aspects for further improvement on solar cell efficiency.
The tennis analyst Brad Gilbert said Keys's potential for further improvement on her serve was exciting.
But Dr. Franklin was an excellent crystallographer, and her data, a further improvement on Dr. Wilkins's important X-ray photo, reached Dr. Crick by two routes.
This also hardens copper and allows it to carry a sharp edge, the hammered edge being capable of further improvement on an abrasive stone.
Powell showed glimpses of good technique on Tuesday with further improvement on Wednesday as he shed blocks better and looked more fluid in pass coverage.
Similar(15)
Ongoing challenges are focusing on the development of ultrafast acquisitions and further improvements on detector sensitivity.
Finally, future directions for further improvements on issues such as stability, hysteresis, and processability are provided.
Our goal was to evaluate if these revisions would result on further improvements on POS tagger accuracy.
A refined integrated analysis based on hardware components could be expected to cause further improvements on these results.
It is expected that further improvements on increasing open-circuit voltage and meanwhile remaining the very high FF could lead to further higher efficiency.
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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