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The phrase "a rigorous connection between" is correct and usable in written English.
It can be used when discussing a strong or well-defined relationship or link between two or more concepts, ideas, or entities.
Example: "The study aims to establish a rigorous connection between environmental factors and public health outcomes."
Alternatives: "a strong link between" or "a solid relationship between".
Exact(2)
The virtue of this equation is that there is a rigorous connection between the virial coefficients and intermolecular forces, and experimental values of B(T) were an early source (and still a useful one) of quantitative information on intermolecular forces.
A careful analysis shows that a rigorous connection between learning and regularization for inverse problem is not straightforward.
Similar(55)
Hence, partial support of hypothesis H1 concerns students' intentions solely, without a rigorous connection with vocational training, career counselling and lifelong learning.
The proposed procedure further enables a rigorous comparison between different types of steel moment connections since the effects of different beam sections and different spans are filtered out under the same span-to-depth ratio.
We have to sustain a thoughtful vigilance in drawing a rigorous line between anti-Zionism and anti-semitism.
Despite the failure of these attempts to provide a rigorous empiricist criterion of meaning, Ayer continued to hold that there was a close connection between evidence and meaning, maintaining that a satisfactory account of confirmation was needed before a fool-proof criterion of empirical meaning could be supplied.
Is a connection between an organization and an individual real?
A cure will require funding commitments, strong community engagement, rigorous and innovative scientific endeavor and, above all, further collaborative multidisciplinary science with a better connection between basic and clinical research — in short, all the same ingredients that got us where we are today with the global antiretroviral treatment.
(There is a numerical connection between them).
"We think there is a likely connection between them".
A close connection between hardnose football and dying tissue.
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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