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The phrase "accordingly written" is correct and usable in written English.
It can be used to indicate that something has been written in a manner that is consistent with or in response to a particular situation or requirement.
Example: "The report was accordingly written to reflect the latest findings and recommendations."
Alternatives: "appropriately drafted" or "suitably composed".
Exact(3)
The decision result of MRC is accordingly written as ŝ = arg max s α ∈ U 1 2 π σ 2 exp - x ^ - s α 2 2 σ 2 = arg min s α ∈ U x ^ - s α 2. (13).
Accordingly, written checklists are used for nursing staff, recreational therapist, psychologist and elderly care physician, separately.
Accordingly, written informed consent was obtained from all participants before their PBMCs were obtained.
Similar(55)
"Accordingly," wrote the PWC officials, "the overall PCAOB inspection results, as well as the results of our internal inspections, were important considerations in formulating our quality improvement plan," which it then describes.
"Dr. Lombardi is a valued and important part of our team, and conducts his research work accordingly," wrote Whittemore.
"You can even complain and hope that Amazon will change back to the old system, because … shocker … it appears that they listen to the indie community and take our opinions seriously and make changes accordingly," writes Howey, and I agree with him.
Foster accordingly wrote to Foraker, offering him the chance at "honorable distinction and useful service".
Mr. Lightcap is attracted to Ornette Coleman and the composer-performers who have splintered off from him; accordingly, some written themes were short, bright and songlike, and there were stretches in the music when meter and tonality became unfixed.
Accordingly, the written records document a moderate wealth of the monastery for several centuries.
Assuming that the expression from Eq. (72) is a small nonzero number, (73) and applying the corresponding Taylor expansion of the left-hand side of Eq. (69) with respect to the small parameter δ, one can improve the approximations from Eqs. (70) and (71); however, the obtained results are not very transparent and, accordingly, not written here.
He played to the rules and should be paid accordingly," Timpson wrote in the Telegraph (partial paywall).
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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