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I would like to get a curly f lowercase letter for a mathematic formula. But the following example

\documentclass{minimal}

\begin{document}
$$\mathcal{f}$$
\end{document}

Leads to this output

enter image description here

I use texlive2021. I tried on overleaf and it outputs the same result. But on katex.org on the contrary the mathcal commands seems to be ignore.

Ger
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    As Sandy G points to there are no lower case cal letters, so the output is not well defined. – daleif Feb 15 '23 at 12:53
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    Regardless of your problem, you should not use $$...$$ for displayed math in LaTeX. Always use \[...\] or \begin{displaymath}...\end{displaymath} or one of the amsmath environments. – cabohah Feb 15 '23 at 12:55

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