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Display information for equation id:math.1439.55 on revision:1439
* Page found: Elektromagnetische Wellen (eq math.1439.55)
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Hash: d1b2fb51a7d486098fbec94eaa2c9618
TeX (original user input):
\begin{align}
& {{{\bar{E}}}_{1}}(\bar{r},t)=\operatorname{Re}\left\{ {{a}_{1}}{{e}^{i\left( {{\delta }_{1}}+\bar{k}\bar{r}-\varpi t \right)}} \right\}={{a}_{1}}\cos \left( \phi +{{\delta }_{1}} \right) \\
& \phi :=\bar{k}\bar{r}-\varpi t \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\bar {E}}_{1}}({\bar {r}},t)=\operatorname {Re} \left\{{{a}_{1}}{{e}^{i\left({{\delta }_{1}}+{\bar {k}}{\bar {r}}-\varpi t\right)}}\right\}={{a}_{1}}\cos \left(\phi +{{\delta }_{1}}\right)\\&\phi :={\bar {k}}{\bar {r}}-\varpi t\\\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"><msub><mover><mi>E</mi><mo>¯</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo data-mjx-texclass="OP" mathvariant="normal">Re</mo><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">+</mo><mover><mi>k</mi><mo>¯</mo></mover><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">−</mo><mi>ϖ</mi><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">}</mo></mrow><mo stretchy="false">=</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mi>cos</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ϕ</mi><mo stretchy="false">+</mo><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>ϕ</mi><mo stretchy="false">:=</mo><mover><mi>k</mi><mo>¯</mo></mover><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">−</mo><mi>ϖ</mi><mi>t</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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