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Discover LudwigThe phrase "compact on" is not a common or grammatically correct phrase in written English
A more commonly used phrase would be "compact with," as in "We made a compact with our neighbors to share the cost of maintaining the fence between our properties." In this context, "compact" means a formal agreement or contract. Another possible interpretation of "compact on" could be "condensed or concise in regards to," as in "The report was so compact on the issue that it only took five pages to summarize the main points." However, this usage is more rare and may still sound awkward to some readers. Overall, it would be best to avoid using the phrase "compact on" in written English and instead opt for clearer, more commonly used phrases.
Exact(50)
Dab this compact on for a fresh glow.
They were compact on the ball and, above all, patient.
Other firms said they had signed on to the United Nations global compact on sustainable business.
Therefore, is compact on.
So is compact on ; it follows that is compact on.
First we assume that is compact on.
Similar(10)
Thus, N is L-compact on Ω̄.
Then N is L-compact on Ω.
Thus, N is L-compact on Ω ¯.
Hence the nonlinear operator N is L-compact on Ω ¯.
Finally, we show that N is L-compact on Ω ¯.
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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