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In the figure example, why is \label{fig:mesh1} placed *after* the \caption command?
figure
\label{fig:mesh1}
\caption
Because \label must always be the last command in an environment.
\label
To link the label to the image (mesh) instead of the caption.
mesh
To ensure \ref refers to the figure's number. If placed before, it might refer to the section number.
\ref
It's just a style choice; the order doesn't matter.
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