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Display information for equation id:math.2170.38 on revision:2170

* Page found: Transformationsverhalten der Ströme und Felder (eq math.2170.38)

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TeX (original user input): 

\begin{align}
& {{E}^{1}}\acute{\ }={{E}^{1}} \\
& {{E}^{2}}\acute{\ }=\frac{1}{\sqrt{1-{{\beta }^{2}}}}\left( {{E}^{2}}-v{{B}^{3}} \right) \\
& {{E}^{3}}\acute{\ }=\frac{1}{\sqrt{1-{{\beta }^{2}}}}\left( {{E}^{3}}+v{{B}^{2}} \right) \\
& {{B}^{1}}\acute{\ }={{B}^{1}} \\
& {{B}^{2}}\acute{\ }=\frac{1}{\sqrt{1-{{\beta }^{2}}}}\left( {{B}^{2}}+\frac{v}{{{c}^{2}}}{{E}^{3}} \right) \\
& {{B}^{3}}\acute{\ }=\frac{1}{\sqrt{1-{{\beta }^{2}}}}\left( {{B}^{3}}-\frac{v}{{{c}^{2}}}{{E}^{2}} \right) \\
\end{align}

TeX (checked): 

{\begin{aligned}&{{E}^{1}}{\acute {\ }}={{E}^{1}}\\&{{E}^{2}}{\acute {\ }}={\frac {1}{\sqrt {1-{{\beta }^{2}}}}}\left({{E}^{2}}-v{{B}^{3}}\right)\\&{{E}^{3}}{\acute {\ }}={\frac {1}{\sqrt {1-{{\beta }^{2}}}}}\left({{E}^{3}}+v{{B}^{2}}\right)\\&{{B}^{1}}{\acute {\ }}={{B}^{1}}\\&{{B}^{2}}{\acute {\ }}={\frac {1}{\sqrt {1-{{\beta }^{2}}}}}\left({{B}^{2}}+{\frac {v}{{c}^{2}}}{{E}^{3}}\right)\\&{{B}^{3}}{\acute {\ }}={\frac {1}{\sqrt {1-{{\beta }^{2}}}}}\left({{B}^{3}}-{\frac {v}{{c}^{2}}}{{E}^{2}}\right)\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (42.392 KB / 4.124 KB) :

E 1 ⁢ ´ = E 1 E 2 ⁢ ´ = 1 1 - β 2 ⁢ ( E 2 - v ⁢ B 3 ) E 3 ⁢ ´ = 1 1 - β 2 ⁢ ( E 3 + v ⁢ B 2 ) B 1 ⁢ ´ = B 1 B 2 ⁢ ´ = 1 1 - β 2 ⁢ ( B 2 + v c 2 ⁢ E 3 ) B 3 ⁢ ´ = 1 1 - β 2 ⁢ ( B 3 - v c 2 ⁢ E 2 ) missing-subexpression superscript 𝐸 1 ´ absent superscript 𝐸 1 missing-subexpression superscript 𝐸 2 ´ absent 1 1 superscript 𝛽 2 superscript 𝐸 2 𝑣 superscript 𝐵 3 missing-subexpression superscript 𝐸 3 ´ absent 1 1 superscript 𝛽 2 superscript 𝐸 3 𝑣 superscript 𝐵 2 missing-subexpression superscript 𝐵 1 ´ absent superscript 𝐵 1 missing-subexpression superscript 𝐵 2 ´ absent 1 1 superscript 𝛽 2 superscript 𝐵 2 𝑣 superscript 𝑐 2 superscript 𝐸 3 missing-subexpression superscript 𝐵 3 ´ absent 1 1 superscript 𝛽 2 superscript 𝐵 3 𝑣 superscript 𝑐 2 superscript 𝐸 2 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle{{E}^{1}}\acute{\ }=% {{E}^{1}}\\ &\displaystyle{{E}^{2}}\acute{\ }=\frac{1}{\sqrt{1-{{\beta}^{2}}}}\left({{E}^{% 2}}-v{{B}^{3}}\right)\\ &\displaystyle{{E}^{3}}\acute{\ }=\frac{1}{\sqrt{1-{{\beta}^{2}}}}\left({{E}^{% 3}}+v{{B}^{2}}\right)\\ &\displaystyle{{B}^{1}}\acute{\ }={{B}^{1}}\\ &\displaystyle{{B}^{2}}\acute{\ }=\frac{1}{\sqrt{1-{{\beta}^{2}}}}\left({{B}^{% 2}}+\frac{v}{{{c}^{2}}}{{E}^{3}}\right)\\ &\displaystyle{{B}^{3}}\acute{\ }=\frac{1}{\sqrt{1-{{\beta}^{2}}}}\left({{B}^{% 3}}-\frac{v}{{{c}^{2}}}{{E}^{2}}\right)\\ \end{aligned}}}

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MathML (experimentell; keine Bilder) rendering

MathML (4.84 KB / 504 B) :

E1´=E1E2´=11−β2(E2−vB3)E3´=11−β2(E3+vB2)B1´=B1B2´=11−β2(B2+vc2E3)B3´=11−β2(B3−vc2E2)

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