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The phrase "assume the functions" is correct and usable in written English.
It can be used when discussing the taking on or adopting of specific roles or responsibilities in a particular context, such as in a job or organizational setting.
Example: "As the new manager, I will assume the functions of overseeing the team and ensuring project deadlines are met."
Alternatives: "take on the roles" or "adopt the responsibilities".
Exact(12)
What Péladan took from Wagner, above all, was the idea that art could assume the functions of religion.
Officer Greg Olsen, who wrote out the ticket for Mr. Jiménez, said Port Washington police officers sometimes assume the functions of federal immigration agents "because they don't have enough manpower".
The Commission on Narcotic Drugs was authorized by the General Assembly in 1946 to assume the functions of the League of Nations Advisory Committee on Traffic in Opium and Other Dangerous Drugs.
We will assume the functions and are bounded onC.
We assume the functions as shown in Table 2.
We will assume the functions are bounded onC, i.e. Tis uniformlyρ-Lipschitzian mapping.
Similar(48)
He wants the big regional health-care systems that dominate many metropolitan areas to expand their reach and to assume the function of insuring patients as well.
Assume the function (f : [sigma, a] to X) is integrable.
We assume the function v attains its maximum over ({bar{Omega }}) at some point (x_0).
Assume the function (unotequiv0) satisfying (u^{m}in H_{0}^{1}(Omega )).
Quite surprisingly, although all their examples use an addition function, Kononchuk et al. only assume the function F is symmetric.
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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