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The phrase "the correlations between" is correct and usable in written English.
In particular, it can be used to refer to the connections between two or more elements or concepts. For example, "Researchers are examining the correlations between unemployment and poverty levels in the country."
Exact(60)
Then you look at the correlations between pairs of those particles.
(It was an idea borrowed from the life insurance industry, where copulas measure the correlations between deaths of spouses).
While lacking a coherent framework, scientists are nevertheless making progress in mapping the correlations between brain activity and behavior.
The correlations between adverse childhood experiences and negative adult outcomes were so powerful that they "stunned us," Anda later wrote.
A study published by the National Bureau of Research in December 2014 explored the correlations between marriage and happiness using data from the British Household Panel Survey.
Table 4 shows the correlations between factors.
Table 2 reports on the correlations between the various measures.
Table 5 shows the correlations between the variables.
Overall, the correlations between variables were relatively weak.
The table also reports the correlations between the characteristics.
We discussed the correlations between neuropsychology, electrophysiology and migraine characteristics.
More suggestions(16)
the fringes between
the associations between
the interlinkages between
the sizes between
the relationships between
the mappings between
the ties between
the bonds between
the linkages between
the correlates between
the links between
the interface between
the trade offs between
the alignment between
the inter linkages between
the linkage between
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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