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### What'sthedifferencebetween$$$$and?[duplicate]

I don't know the difference between $$$$$$...$$$$$$ and $$$$...$$$$. What's the difference between $$$$$$...$$$$$$ and $$$$...$$$$? \begin{equation*}$$$$...$$$$\end{equation*}?
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### Define additional math operators to be typeset in roman

Mathematical operators, such as function names, should be set in roman type, not italics. Latex already has commands for some operators, including \max, \min, and \log. How can I define additional ...