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Display information for equation id:math.2114.16 on revision:2114
* Page found: Energiebilanz (eq math.2114.16)
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Hash: a57818f4af77f6bd3b1dc7788e82b5c0
TeX (original user input):
\begin{align}
& \bar{f}\bar{v}=\rho \bar{v}\left( \bar{E}+\bar{v}\times \bar{B} \right)=\rho \bar{v}\bar{E}+\rho \bar{v}\left( \bar{v}\times \bar{B} \right) \\
& \rho \bar{v}\left( \bar{v}\times \bar{B} \right)=0 \\
& \Rightarrow \bar{f}\bar{v}=\rho \bar{v}\bar{E}=\bar{j}\bar{E} \\
\end{align}
TeX (checked):
{\begin{aligned}&{\bar {f}}{\bar {v}}=\rho {\bar {v}}\left({\bar {E}}+{\bar {v}}\times {\bar {B}}\right)=\rho {\bar {v}}{\bar {E}}+\rho {\bar {v}}\left({\bar {v}}\times {\bar {B}}\right)\\&\rho {\bar {v}}\left({\bar {v}}\times {\bar {B}}\right)=0\\&\Rightarrow {\bar {f}}{\bar {v}}=\rho {\bar {v}}{\bar {E}}={\bar {j}}{\bar {E}}\\\end{aligned}}
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<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"><mover><mi>f</mi><mo>¯</mo></mover><mover><mi>v</mi><mo>¯</mo></mover><mo stretchy="false">=</mo><mi>ρ</mi><mover><mi>v</mi><mo>¯</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>E</mi><mo>¯</mo></mover><mo stretchy="false">+</mo><mover><mi>v</mi><mo>¯</mo></mover><mo stretchy="false">×</mo><mover><mi>B</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi>ρ</mi><mover><mi>v</mi><mo>¯</mo></mover><mover><mi>E</mi><mo>¯</mo></mover><mo stretchy="false">+</mo><mi>ρ</mi><mover><mi>v</mi><mo>¯</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>v</mi><mo>¯</mo></mover><mo stretchy="false">×</mo><mover><mi>B</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>ρ</mi><mover><mi>v</mi><mo>¯</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>v</mi><mo>¯</mo></mover><mo stretchy="false">×</mo><mover><mi>B</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><mover><mi>f</mi><mo>¯</mo></mover><mover><mi>v</mi><mo>¯</mo></mover><mo stretchy="false">=</mo><mi>ρ</mi><mover><mi>v</mi><mo>¯</mo></mover><mover><mi>E</mi><mo>¯</mo></mover><mo stretchy="false">=</mo><mover><mi>j</mi><mo>¯</mo></mover><mover><mi>E</mi><mo>¯</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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