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The phrase "accepted according to" is correct and usable in written English.
It can be used when referring to something that is acknowledged or approved based on specific criteria or standards.
Example: "The proposal was accepted according to the guidelines set forth by the committee."
Alternatives: "approved based on" or "recognized in accordance with".
Exact(46)
The candidates are randomly accepted according to an acceptance ratio that ensures reversibility and thus invariance of the Markov chain with respect to the posterior distribution.
Whereas, the reverse path through C can be accepted according to the proposed looser route acceptance and hence two routes can be discovered, which are (S-A-I-J-D) and (S-B-C-I-K-D).
(Her registration was ultimately accepted, according to state records, meaning she will be eligible to vote in future elections).
Seventy to 90 students apply yearly, of whom 30 to 40 are accepted, according to Kate Nolan, the school's registrar and admissions assistant.
Of the 2,180 who were offered admission to the Class of 2016, 1,080 have accepted, according to The Dartmouth.
Talk-therapy modalities with psychiatrists, psychologists and other types of trained counselors are only slowly being accepted, according to mental health experts here.
Similar(12)
However, if we cannot, we are committed to a brute metaphysical necessity, which we should be loathe to accept, according to McPherson.
Although Expedia CEO Dara Khosrowshahi has yet to officially accept the chief executive officer position at Uber, Expedia Chairman Barry Diller believes "it is his intention to accept," according to an SEC filing.
For example, a learner might not believe that mosquitoes are a beneficial organism, but may accept, according to scientific evidence, that all organisms have a function within ecosystems and biomes.
Former US president Bill Clinton, former UK prime minister Tony Blair, former Russian president Mikhail Gorbachev, Prince Albert of Monaco and Barbra Streisand have accepted invitations, according to organisers.
They accepted that, according to yogic teaching, vocal vibrations help to open up energy channels.
More suggestions(15)
appreciated according to
recognized according to
adopted according to
incorporated according to
accepted procedure to
agrees according to
tolerated according to
acknowledged according to
recognize according to
agree according to
accepted principle to
embraced according to
approve according to
accepted corresponding to
accredited according to
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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