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Display information for equation id:math.2137.47 on revision:2137
* Page found: Wellenoptik und Beugung (eq math.2137.47)
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Hash: cc51e290cde4d11449c88a92c158401d
TeX (original user input):
\begin{align}
& \Phi \left( \bar{r}\acute{\ } \right)=-\frac{i}{\lambda }\int_{B}^{{}}{df\frac{{{e}^{ik\left| R+{{R}^{Q}} \right|}}}{R{{R}^{Q}}}}\cos \vartheta \\
& \cos \vartheta \approx const. \\
\end{align}
TeX (checked):
{\begin{aligned}&\Phi \left({\bar {r}}{\acute {\ }}\right)=-{\frac {i}{\lambda }}\int _{B}^{}{df{\frac {{e}^{ik\left|R+{{R}^{Q}}\right|}}{R{{R}^{Q}}}}}\cos \vartheta \\&\cos \vartheta \approx const.\\\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><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mi>λ</mi></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>f</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>R</mi><mo>+</mo><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>Q</mi></mrow></msup><mo data-mjx-texclass="CLOSE">|</mo></mrow></mrow></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><msup><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>Q</mi></mrow></msup></mrow></mrow></mfrac></mrow></mrow><mi>cos</mi><mo>⁡</mo><mi>ϑ</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>cos</mi><mo>⁡</mo><mi>ϑ</mi><mo>≈</mo><mi>c</mi><mi>o</mi><mi>n</mi><mi>s</mi><mi>t</mi><mo>.</mo></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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