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Display information for equation id:math.2171.34 on revision:2171
* Page found: Transformationsverhalten der Ströme und Felder (eq math.2171.34)
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\begin{align}
& E{{\acute{\ }}^{1}}=F{{\acute{\ }}^{10}}={{U}^{1}}_{\lambda }{{U}^{0}}_{\kappa }{{F}^{\lambda \kappa }}=-\beta \gamma {{U}^{0}}_{\kappa }{{F}^{0\kappa }}+\gamma {{U}^{0}}_{\kappa }{{F}^{1\kappa }}={{\left( \beta \gamma \right)}^{2}}{{F}^{01}}+{{\gamma }^{2}}{{F}^{10}}= \\
& ={{\gamma }^{2}}\left( 1-{{\beta }^{2}} \right){{F}^{10}}={{E}^{1}} \\
& {{\gamma }^{2}}\left( 1-{{\beta }^{2}} \right)=1 \\
& \\
& E{{\acute{\ }}^{2}}=F{{\acute{\ }}^{20}}={{U}^{2}}_{\lambda }{{U}^{0}}_{\kappa }{{F}^{\lambda \kappa }}={{U}^{0}}_{\kappa }{{F}^{2\kappa }}=\gamma {{F}^{20}}-\beta \gamma {{F}^{21}}=\gamma \left( {{E}^{2}}-v{{B}^{3}} \right) \\
\end{align}
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data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>0</mn><mn>1</mn></mrow></mrow></msup><mo>+</mo><msup><mi>γ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mn>0</mn></mrow></mrow></msup><mo>=</mo></mtd></mtr><mtr><mtd></mtd><mtd><mo>=</mo><msup><mi>γ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo>−</mo><msup><mi>β</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mn>0</mn></mrow></mrow></msup><mo>=</mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup></mtd></mtr><mtr><mtd></mtd><mtd><msup><mi>γ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo>−</mo><msup><mi>β</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd></mtd><mtd></mtd></mtr><mtr><mtd></mtd><mtd><mi>E</mi><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>=</mo><mi>F</mi><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mn>0</mn></mrow></mrow></msup><mo>=</mo><msub><msup><mi>U</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mi>λ</mi></mrow></msub><msub><msup><mi>U</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mi>κ</mi></mrow></msub><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>λ</mi><mi>κ</mi></mrow></mrow></msup><mo>=</mo><msub><msup><mi>U</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mi>κ</mi></mrow></msub><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>κ</mi></mrow></mrow></msup><mo>=</mo><mi>γ</mi><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mn>0</mn></mrow></mrow></msup><mo>−</mo><mi>β</mi><mi>γ</mi><msup><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mn>1</mn></mrow></mrow></msup><mo>=</mo><mi>γ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><mi>v</mi><msup><mi>B</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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