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Display information for equation id:math.2170.36 on revision:2170

* Page found: Transformationsverhalten der Ströme und Felder (eq math.2170.36)

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\begin{align}
& B{{\acute{\ }}^{1}}=\frac{1}{c}F{{\acute{\ }}^{32}}=\frac{1}{c}{{U}^{3}}_{\lambda }{{U}^{2}}_{\kappa }{{F}^{\lambda \kappa }}=\frac{1}{c}{{F}^{32}}={{B}^{1}} \\
& B{{\acute{\ }}^{2}}=\frac{1}{c}F{{\acute{\ }}^{13}}=\frac{1}{c}{{U}^{1}}_{\lambda }{{U}^{3}}_{\kappa }{{F}^{\lambda \kappa }}=\frac{1}{c}{{U}^{1}}_{\kappa }{{F}^{\kappa 3}}=-\frac{\beta \gamma }{c}{{F}^{03}}+\frac{\gamma }{c}{{F}^{13}}=\gamma \left( {{B}^{2}}+\frac{v}{{{c}^{2}}}{{E}^{3}} \right) \\
\end{align}

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B ⁢ ´ 1 = 1 c ⁢ F ⁢ ´ 32 = 1 c ⁢ U 3 λ ⁢ U 2 κ ⁢ F λ ⁢ κ = 1 c ⁢ F 32 = B 1 B ⁢ ´ 2 = 1 c ⁢ F ⁢ ´ 13 = 1 c ⁢ U 1 λ ⁢ U 3 κ ⁢ F λ ⁢ κ = 1 c ⁢ U 1 κ ⁢ F κ ⁢ 3 = - β ⁢ γ c ⁢ F 03 + γ c ⁢ F 13 = γ ⁢ ( B 2 + v c 2 ⁢ E 3 ) missing-subexpression 𝐵 superscript ´ absent 1 1 𝑐 𝐹 superscript ´ absent 32 1 𝑐 subscript superscript 𝑈 3 𝜆 subscript superscript 𝑈 2 𝜅 superscript 𝐹 𝜆 𝜅 1 𝑐 superscript 𝐹 32 superscript 𝐵 1 missing-subexpression 𝐵 superscript ´ absent 2 1 𝑐 𝐹 superscript ´ absent 13 1 𝑐 subscript superscript 𝑈 1 𝜆 subscript superscript 𝑈 3 𝜅 superscript 𝐹 𝜆 𝜅 1 𝑐 subscript superscript 𝑈 1 𝜅 superscript 𝐹 𝜅 3 𝛽 𝛾 𝑐 superscript 𝐹 03 𝛾 𝑐 superscript 𝐹 13 𝛾 superscript 𝐵 2 𝑣 superscript 𝑐 2 superscript 𝐸 3 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle B{{\acute{\ }}^{1}}% =\frac{1}{c}F{{\acute{\ }}^{32}}=\frac{1}{c}{{U}^{3}}_{\lambda}{{U}^{2}}_{% \kappa}{{F}^{\lambda\kappa}}=\frac{1}{c}{{F}^{32}}={{B}^{1}}\\ &\displaystyle B{{\acute{\ }}^{2}}=\frac{1}{c}F{{\acute{\ }}^{13}}=\frac{1}{c}% {{U}^{1}}_{\lambda}{{U}^{3}}_{\kappa}{{F}^{\lambda\kappa}}=\frac{1}{c}{{U}^{1}% }_{\kappa}{{F}^{\kappa 3}}=-\frac{\beta\gamma}{c}{{F}^{03}}+\frac{\gamma}{c}{{% F}^{13}}=\gamma\left({{B}^{2}}+\frac{v}{{{c}^{2}}}{{E}^{3}}\right)\\ \end{aligned}}}

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B´1=1cF´32=1cU3λU2κFλκ=1cF32=B1B´2=1cF´13=1cU1λU3κFλκ=1cU1κFκ3=−βγcF03+γcF13=γ(B2+vc2E3)

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