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Thanks to the both of you.
\newcommand{\matsimil1}[2]{\stackrel{\scriptsize L_{#1}\leftrightarrow L_{#2}}{\sim}}
\newcommand{\matsimil2}[2]{\stackrel{\scriptsize #2L_{#1}\rightarrow L_{#1}}{\sim}}
\newcommand{\matsimil3}[3]{\stackrel{\scriptsize #2L_{#1}+L_{#3}\rightarrow L_{#3}}{\sim}}
When used, those macros work fine.
%Macro names can't have any number in them, otherwise mathjax stops processing further command.
Do you want me to add that line to the sample article? Or is there another place where docinfo is documented that I forget?