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It is very easy to put a tilde over the symbol in math mode. Simply type $\tilde{a}$. But how to put a tilde under the symbol in math mode?

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Look at the accents package. Welcome to TeX.sx! A tip: you can use backticks ` to mark your inline code as I did in my edit. –  egreg Jul 14 '11 at 22:39
    
possible duplicate of Sub tilde in latex –  Leo Liu Jul 15 '11 at 5:57
    
The answers can be merged to Sub tilde in latex –  Leo Liu Jul 15 '11 at 5:58

2 Answers 2

The undertilde package provides extensible tilde accents under elements in math mode via \utilde{<symbols>}. Try, for example:

\documentclass{minimal}
\usepackage{undertilde}
\begin{document}
This is $\frac{\utilde{ab}}{c} \neq \frac{ab}{c}$ and so on.
\end{document}

Alternatively, as @egreg suggests, the accents package provides \underaccent[<accent>]{<symbol>}. Try, for example:

\documentclass{minimal}
\usepackage{accents}
\begin{document}
This is $\underaccent{\tilde}{\mathcal{A}}$ and so on.
\end{document}

See page 2 of the package documentation in order to extend this using \widetilde rather than \tilde. It depends on your preference.

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Using \underset:

\underset{\sim}{=}

...or \stackrel:

\stackrel{=}{\sim}
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