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Adding an equation or formula to a figure caption in LaTeX

I have a figure in LaTeX with a caption to which I need to add a formula ( equation* or displaymath environments). For example:

\documentclass[12pt]{article}
\begin{document}
\begin{figure}[tbph]
    \begin{center}
        %...
    \end{center}
    \caption{As you can see
            \begin{displaymath}4 \ne 5\end{displaymath}
    }
    \label{fig:somefig}
\end{figure}
\end{document}

This makes pdflatex angry, though it will produce a PDF.

! Argument of \@caption has an extra }.
<inserted text> 
                \par 
l.9    }

What's the right way to go about adding an equation to a figure caption?

NOTE : Please do not suggest simply using the $ ... $ math environment; the equation shown is a toy example; my real equation is much more intricate.

See also :

Using the package "caption":

\begin{figure}
\begin{center}
    ...
    \captionsetup{singlelinecheck=off}
    \caption[.]{
    \begin{displaymath}
        assoc\_meaning(\lambda x_{SBJ}. followed(x,y) \&actor(x) \nonumber \&actor(y),\lambda x_{SBJ}. maintained(x,\nonumber <(dist\_from(y),1))
    \end{displaymath}}
\end{center}
\end{figure}

The square brackets following \\caption aren't optional, but leaving them off won't cause an error that looks any different than the one before you added \\usepackage{caption} and \\captionsetup{...} .

I'm not sure why you do not want to use the $ ... $ solution, because of fractions?

If so, you can use \\dfrac instead of \\frac .

I would try $ \\displaystyle \\dfrac{1}{2} \\cdot \\sum_{i=0}^ni$ , ie use the \\displaystyle command.

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