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The phrase "variations of authority" is correct and usable in written English.
You can use it when discussing different forms, types, or levels of authority in a particular context, such as organizational structures or social hierarchies. Example: "In our study, we examined the variations of authority within different departments to understand how they impact decision-making processes."
Exact(1)
Therefore, the simulations conducted in this study use a pro-active approach to closures, geared to the actual variations of authority and specifications found in state statutes and pandemic influenza plans.
Similar(57)
Within this latter group there is considerable variation in where the locus of authority is placed.
The centurions in a legion were arranged in a complicated order of rank, with variations in authority and responsibility from top to bottom.
Questions of authority necessarily arise.
Lines of authority were obscured.
Figures of authority who come up short.
The position of authority chairman is unpaid.
The problem is essentially one of authority.
California Municipal Finance, $55 million of authority revenue bonds.
Alfonso relished his position of authority.
Of authority.
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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