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The phrase "additional information is given" is correct and usable in written English.
It can be used when indicating that more details or context will be provided in a document or conversation.
Example: "In the report, additional information is given regarding the project's timeline and budget."
Alternatives: "further details are provided" or "supplementary information is supplied."
Exact(19)
Additional information is given on the dissolution time, the Bulirsch-Stoer tolerance and word-length.
Additional information is given in Tables 2 and3, and in the subsection 'Economic analysis' in Additional file1.
Additional information is given by hardness measurements (loads 4 mN, 10 mN) as well as characterization of the nano- and microstructure (Raman spectroscopy).
In the poem Hrafnagaldr Óðins, additional information is given about Iðunn, though this information is otherwise unattested.
The surviving boy is again saved by cutting off his finger, and the additional information is given that he had a Bible in his pocket.
In a book from the Prose Edda additional information is given about Surtr, including that he is stationed guarding the frontier of the fiery realm Múspell, that he will lead "Múspell's sons" to Ragnarök, and that he will defeat Freyr.
Similar(41)
At the beginning of the domestic violence module additional information was given.
If a patient or the interventional radiologist felt that insufficient information had been provided, additional information was given.
Table 3 shows the results for the conditions in which various combinations of additional information were given.
Illustrative examples and sources for additional information were given in both versions, while references were only provided in the full version.
This was included in our analysis because additional information was given (e.g., "Your homework is due Thursday at midnight, because we wanted to give you a whole week to complete the assignment").
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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