Sandbox

$$\newcommand{E}[2]{#1_{\mathrm{#2}}}$$ $$\newcommand{\blah}{\alpha\beta}$$ $$\newcommand{\blaha}{\alpha\beta}$$ $$\newcommand{\blahb}{\alpha\beta}$$ $$\newcommand{\blahc}{\alpha\beta}$$ $$\newcommand{\blahd}{\alpha\beta}$$ There is $$\frac{g \beta \Delta T H^3}{\alpha \nu}$$ and then there is \[ \frac{g \beta \Delta T H^3}{\alpha \nu} \] $$ \begin{align} \frac{g \beta \Delta T H^3}{\alpha \nu} \end{align} $$ \[ \begin{align} \frac{g \beta \Delta T H^3}{\alpha \nu} \end{align} \]

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