A notational conventions question: It's common to write \(\sin(x)\) as \(\sin x\), omitting the brackets. It's not just laziness: it makes the text less busy. \(\log \log n\) is easier to parse than \(\log(\log(n))\). Which functions is it OK to do this for? Is \(\operatorname{f} x\) OK?

@christianp I guess it's not okay to write sin x sin y, because that's ambiguous. If there's no ambiguity, and people will get it, then it's probably fine.
The notation for (sine x) squared is a little 2 in the sky after sin, and yet in other notation that would mean applying the sine function twice.

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