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Display information for equation id:math.2158.4 on revision:2158
* Page found: Wellenausbreitung in Materie (eq math.2158.4)
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Hash: 4db1f04c945284bf2fdeb8d7f8511aa9
TeX (original user input):
\begin{align}
& \Delta \bar{E}-\frac{1}{{{c}_{m}}^{2}}\left( \frac{\sigma }{\varepsilon {{\varepsilon }_{0}}}\dot{\bar{E}}+\ddot{\bar{E}} \right)=0 \\
& {{c}_{m}}:=\frac{1}{\sqrt{\varepsilon {{\varepsilon }_{0}}\mu {{\mu }_{0}}}}=c\frac{1}{\sqrt{\varepsilon \mu }} \\
\end{align}
TeX (checked):
{\begin{aligned}&\Delta {\bar {E}}-{\frac {1}{{{c}_{m}}^{2}}}\left({\frac {\sigma }{\varepsilon {{\varepsilon }_{0}}}}{\dot {\bar {E}}}+{\ddot {\bar {E}}}\right)=0\\&{{c}_{m}}:={\frac {1}{\sqrt {\varepsilon {{\varepsilon }_{0}}\mu {{\mu }_{0}}}}}=c{\frac {1}{\sqrt {\varepsilon \mu }}}\\\end{aligned}}
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MathML (2.092 KB / 450 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"><mi>Δ</mi><mover><mi>E</mi><mo>¯</mo></mover><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msup><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>σ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>ε</mi><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><mover><mover><mi>E</mi><mo>¯</mo></mover><mo>˙</mo></mover><mo stretchy="false">+</mo><mover><mover><mi>E</mi><mo>¯</mo></mover><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"><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><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"><msqrt><mrow data-mjx-texclass="ORD"><mi>ε</mi><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mi>μ</mi><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></msqrt></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mi>c</mi><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"><msqrt><mrow data-mjx-texclass="ORD"><mi>ε</mi><mi>μ</mi></mrow></msqrt></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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