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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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Tμν=THDμν+TEDμνTEDμν=14π(FαμFμν+14ημνFαβFαβ)(TED00=18π(𝐄2+𝐁2),𝐒=ciTED0i𝐞i=c4π𝐄×𝐁)
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mi>ν</mi></mrow></mrow></msup><mo stretchy="false">=</mo><msubsup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>H</mi><mi>D</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mi>ν</mi></mrow></mrow></msubsup><mo stretchy="false">+</mo><msubsup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>D</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mi>ν</mi></mrow></mrow></msubsup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msubsup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>D</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mi>ν</mi></mrow></mrow></msubsup><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>π</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mi>ν</mi></mrow></mrow></msup><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></mfrac></mrow><msub><mi>η</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>μ</mi><mi>ν</mi></mrow></mrow></msub><msub><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msub><msup><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msubsup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>D</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>00</mn></mrow></msubsup><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>8</mn><mi>π</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mrow data-mjx-texclass="ORD"><mi>𝐄</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><msup><mrow data-mjx-texclass="ORD"><mi>𝐁</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mi>𝐒</mi></mrow><mo stretchy="false">=</mo><mi>c</mi><munder><mo form="prefix" movablelimits="false" stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><mrow data-mjx-texclass="ORD"><msubsup><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>E</mi><mi>D</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mi>i</mi></mrow></mrow></msubsup><msub><mrow data-mjx-texclass="ORD"><mi>𝐞</mi></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>π</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mi>𝐄</mi></mrow><mo stretchy="false">×</mo><mrow data-mjx-texclass="ORD"><mi>𝐁</mi></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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  • T
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  • i
  • T
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  • c
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  • 𝐄
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