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Elementary function is a technical term that this paper uses correctly, not a generic prescription of simplicity.

See https://en.wikipedia.org/wiki/Elementary_function.



In numerical analysis, elementary function membership, like special function membership, is ambiguous. In many circumstances, it’s entirely reasonable to describe the natural logarithm as a special function.


Then this is a good math paper. Everyone asking for "elm gates" (if such a thing even is possible or efficient) ought to relax a bit.




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