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The phrase "accepted for all" is correct and usable in written English.
It can be used in contexts where you want to indicate that something is universally acknowledged or approved by everyone involved.
Example: "The new policy was accepted for all members of the organization, ensuring everyone was on the same page."
Alternatives: "universally accepted" or "agreed upon by all".
Exact(16)
General studies is accepted for all of our courses.
With America's help, India has not only kept its nukes, but has been accepted for all practical purposes, and with extra benefits, as a nuclear power.
Staffordshire University, meanwhile, says: "General studies is accepted for all of our courses – no A-levels are looked upon less favourably here," and the universities of Bedfordshire, Liverpool, Lincoln, Cumbria, Westminster and Wolverhampton are among others with the same stance.
The name luminescence has been accepted for all light phenomena not caused solely by a rise of temperature, but the distinction between the terms phosphorescence and fluorescence is still open to discussion.
Normal distribution of all measured variables was assessed using the Shapiro-Wilk test with normal distribution accepted for all variables.
The reported p values in Table 5 show that the null hypotheses of correct functional form, normal distribution of error, homoscedastic errors and no serial correlation are accepted for all almost every model except model 4. In addition, we test the stability of the models through well popular by using Brown et al. (1975) stability test as suggested by Pesaran et al. (2001).
Similar(44)
Sudden, violent deaths can often be hard to accept for all families, he said.
It's difficult to accept for all of us but our motivation is still there".
But technical decisions made under that kind of political aegis would be easier to accept for all concerned.
\(C\) runs in polynomial time for all inputs; for all inputs \(x \in X\), at least fraction \(p\) of the possible computations of \(C\) on \(x\) accept; for all inputs \(x \not\in X\), at least fraction \(p\) of the possible computations of \(C\) on \(x\) reject.
All this, and much more, she had accepted, for, after all, living does mean accepting the loss of one joy after another, not even joys in her case, mere possibilities of improvement.
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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