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the dogmatism around the PEMDAS paradox is amazing - I shouldn't waste time on it, but it's a kind of mindless leisure - I ultimately found the APS submission guidelines, published by the American Physical Society, which address precisely the PEMDAS paradox, while never once mentioning PEMDAS, BODMAS, nor any other MASS, fitting expression considering the near-religious fervor of many proponents of these mnemonic devices…

the salient point: [...] "Use enough bracketing to make the meaning clear and unambiguous. Be especially clear with fractions formed with the solidus (/). According to accepted convention, all factors appearing to the right of a solidus are to be construed as belonging in the denominator" [...]

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