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TeX (original user input):

\begin{align}
  & {{T}^{\mu \nu }}=T_{HD}^{\mu \nu }+T_{ED}^{\mu \nu } \\ 
 & T_{ED}^{\mu \nu }=\frac{1}{4\pi }\left( {{F}^{\alpha }}_{\mu }{{F}^{\mu \nu }}+\frac{1}{4}{{\eta }_{\mu \nu }}{{F}_{\alpha }}_{\beta }{{F}^{\alpha }}^{\beta } \right) \\ 
 & \left( T_{ED}^{00}=\frac{1}{8\pi }\left( {{\mathbf{E}}^{2}}+{{\mathbf{B}}^{2}} \right),\mathbf{S}=c\sum\limits_{i}{T_{ED}^{0i}{{\mathbf{e}}_{i}}}=\frac{c}{4\pi }\mathbf{E}\times \mathbf{B} \right) \\ 
\end{align}

TeX (checked):

{\begin{aligned}&{{T}^{\mu \nu }}=T_{HD}^{\mu \nu }+T_{ED}^{\mu \nu }\\&T_{ED}^{\mu \nu }={\frac {1}{4\pi }}\left({{F}^{\alpha }}_{\mu }{{F}^{\mu \nu }}+{\frac {1}{4}}{{\eta }_{\mu \nu }}{{F}_{\alpha }}_{\beta }{{F}^{\alpha }}^{\beta }\right)\\&\left(T_{ED}^{00}={\frac {1}{8\pi }}\left({{\mathbf {E} }^{2}}+{{\mathbf {B} }^{2}}\right),\mathbf {S} =c\sum \limits _{i}{T_{ED}^{0i}{{\mathbf {e} }_{i}}}={\frac {c}{4\pi }}\mathbf {E} \times \mathbf {B} \right)\\\end{aligned}}

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\begin{aligned} T^{μ ν} = T_{H D}^{μ ν} + T_{E D}^{μ ν} \\ T_{E D}^{μ ν} = \frac{1}{4 π} ({F^{α}}_{μ} F^{μ ν} + \frac{1}{4} η_{μ ν} {F_{α}}_{β} {F^{α}}^{β}) \\ (T_{E D}^{00} = \frac{1}{8 π} (E^{2} + B^{2}), S = c \sum_{i} T_{E D}^{0 i} e_{i} = \frac{c}{4 π} E \times B) \end{aligned}

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Identifiers

$T$

$μ$

$ν$

$T$

$H$

$D$

$μ$

$ν$

$T$

$E$

$D$

$μ$

$ν$

$T$

$E$

$D$

$μ$

$ν$

$π$

$F$

$α$

$μ$

$F$

$μ$

$ν$

$η_{μ ν}$

$F_{α} β$

$F$

$α$

$β$

$T$

$E$

$D$

$π$

$E$

$B$

$S$

$c$

$i$

$T$

$E$

$D$

$i$

$e_{i}$

$c$

$π$

$E$

$B$

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