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Display information for equation id:math.1438.55 on revision:1438
* Page found: Elektromagnetische Wellen (eq math.1438.55)
(force rerendering)Occurrences on the following pages:
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 class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo>=</mo><mi data-mjx-texclass="OP" mathvariant="normal">ℜ</mi><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>+</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>−</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>=</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>+</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></mtd><mtd><mi>ϕ</mi><mi>:</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>−</mo><mi>ϖ</mi><mi>t</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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