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Discover LudwigThe phrase "are as given" is correct and usable in written English.
It can be used to indicate that something is being presented or stated in the same manner as previously described or specified.
Example: "The terms of the agreement are as given in the contract we signed last week."
Alternatives: "are as stated" or "are as specified".
Dictionary
are as given
noun
A libra.
Exact(42)
Definitions are as given under the world religion table.
where and are as given in Lemma 2.1.
The experimental conditions are as given for Figure 6.
The disseminated first-hop and second-hop channel estimates are as given in (22) and (35).
The system auto-correlation functions are as given in Equations (19) and (20).
where,,,, the α i are as given in Lemma 2.4 and satisfy, (3.12).
Similar(18)
At both tables in the United States Bermuda Bowl match, the first five calls were as given.
Let be as given in (5.11), then.
where is as given in (2.14).
and G ( t, s ) is as given in Lemma 2.3.
where each k i j is as given in (2).
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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