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The phrase "above descriptions" is correct and usable in written English.
It can be used to refer to descriptions that have been mentioned earlier in the text.
Example: "Please refer to the above descriptions for a better understanding of the project requirements."
Alternatives: "previous descriptions" or "earlier descriptions".
Exact(24)
Our Figures 3A C, the observations on the specimens examined for the above descriptions, and the descriptive data of Bouché and Beugnot [25] give the extent of morphological differences between this species and L. terrestris.
The description of these is exactly the same as above, so we won't repeat it here — just take the above descriptions and replace ε, E, D, and σD by μ, H, B, and σB, respectively.
Summarizing the above descriptions, there are three steps to obtain the total change in consumer surplus.
If you were reading one of the above descriptions and thought, Isn't that what everyone thinks?, that's probably a sign.
But if you read the above descriptions closely, you'll see our problem: What the hell does "AI" mean?
In view of the above descriptions, it is shown that the proposed approach is superior to original AODV.
Similar(36)
Diagnosis is consistent with psoriasis given the above description.
If the above description is already trying your patience, then this book isn't for you.
The above description explains why steel makes a better permanent magnet than does soft iron.
In addition to the above description, some scientists impose additional constraints regarding characteristics such as size, shape, or mass.
Fans of David Lean's film, a portrait of repression known to inspire peculiarly rabid loyalty, might cry "Heresy!" at the above description.
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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