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The phrase "a vigorous basis for" is correct and usable in written English.
It can be used when discussing a strong or robust foundation for an argument, theory, or project.
Example: "The research provided a vigorous basis for the new policy recommendations."
Alternatives: "a strong foundation for" or "a solid groundwork for".
Exact(1)
The partition TSWC into LSWC and SIC at different depths is shown to be corresponded well with soil temperature, frost depth and groundwater dynamics, provided a vigorous basis for augmenting the limited data on soil water redistribution in seasonally frozen soils under natural conditions of different landscapes.
Similar(59)
Her idea of first building trust as a basis for vigorous economic cooperation with the North is popular among conservative South Koreans.
Such a stance will be an excellent basis for insisting for vigorous monitoring of elections in the east, where the shortcomings are hugely more serious.Though that would be the right tactic, it will not necessarily be an effective one.
"It is a vigorous fight for their personal physical existence.
She has remained a vigorous advocate for the agency and for Mr. Cordray.
She aspires to being a nurse and has been a vigorous advocate for her son.
As a vigorous spokesman for the Communist Party, Mayakovsky expressed himself in many ways.
Plants provide a vigorous source for food health and drug discovery.
Romney was a vigorous surrogate for his son in public appearances and at fundraising events.
Participants reported on a daily basis for three successive days their amount of vigorous exercise, defined as "increased heart rate and/or sweating".
A great basis for any story, really".
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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