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The phrase "the variations of" is correct and is commonly used in written English.
It is used to introduce a list of things that have something in common or that have variation or differences. For example: "The variations of family structures have increased in recent years, including nuclear families, single parent families, and extended families."
Exact(60)
The variations of temperature were small.
This is one of the variations of the classic "12-bar blues".
As a group, they illuminate the variations of a building type peculiar to New York.
And you could pick up the variations of green in the salad.
And most knew the outposts for the variations of Salta and San Juan Provinces.
The variations of tropical precipitation are antiphased between the hemispheres on orbital timescales.
Figure 5d shows the variations of impedance matching coefficient |Zin/Z0| with frequency.
Scenes show the variations of light on water, through fog or in dim rooms.
Finally the variations of parameters at different points are calculated.
The variations of HOFs are different with different substituents.
Further, the variations of the iSLNR algorithms are thoroughly studied.
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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.
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CEO of Professional Science Editing for Scientists @ prosciediting.com