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Display information for equation id:math.2137.13 on revision:2137

* Page found: Wellenoptik und Beugung (eq math.2137.13)

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Hash: c0856b347fdb49bedbab5eef6c2a1b07

TeX (original user input):

\begin{align}
& \Phi \left( {\bar{r}} \right)=\int_{{}}^{{}}{{{d}^{3}}r\acute{\ }}\tilde{G}\left( \bar{r}-\bar{r}\acute{\ } \right)\frac{\rho \left( \bar{r}\acute{\ } \right)}{{{\varepsilon }_{0}}} \\
& mit \\
& \left( \Delta +{{k}^{2}} \right)\tilde{G}\left( \bar{r}-\bar{r}\acute{\ } \right)=-\delta \left( \bar{r}-\bar{r}\acute{\ } \right) \\
\end{align}

TeX (checked):

{\begin{aligned}&\Phi \left({\bar {r}}\right)=\int _{}^{}{{{d}^{3}}r{\acute {\ }}}{\tilde {G}}\left({\bar {r}}-{\bar {r}}{\acute {\ }}\right){\frac {\rho \left({\bar {r}}{\acute {\ }}\right)}{{\varepsilon }_{0}}}\\&mit\\&\left(\Delta +{{k}^{2}}\right){\tilde {G}}\left({\bar {r}}-{\bar {r}}{\acute {\ }}\right)=-\delta \left({\bar {r}}-{\bar {r}}{\acute {\ }}\right)\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (25.764 KB / 3.057 KB) :

Φ ( r ¯ ) = d 3 r ´ G ~ ( r ¯ - r ¯ ´ ) ρ ( r ¯ ´ ) ε 0 m i t ( Δ + k 2 ) G ~ ( r ¯ - r ¯ ´ ) = - δ ( r ¯ - r ¯ ´ ) missing-subexpression Φ ¯ 𝑟 superscript 𝑑 3 𝑟 ´ absent ~ 𝐺 ¯ 𝑟 ¯ 𝑟 ´ absent 𝜌 ¯ 𝑟 ´ absent subscript 𝜀 0 missing-subexpression 𝑚 𝑖 𝑡 missing-subexpression Δ superscript 𝑘 2 ~ 𝐺 ¯ 𝑟 ¯ 𝑟 ´ absent 𝛿 ¯ 𝑟 ¯ 𝑟 ´ absent {\displaystyle{\displaystyle\begin{aligned} &\displaystyle\Phi\left({\bar{r}}% \right)=\int{{{d}^{3}}r\acute{\ }}\tilde{G}\left(\bar{r}-\bar{r}\acute{\ }% \right)\frac{\rho\left(\bar{r}\acute{\ }\right)}{{{\varepsilon}_{0}}}\\ &\displaystyle mit\\ &\displaystyle\left(\Delta+{{k}^{2}}\right)\tilde{G}\left(\bar{r}-\bar{r}% \acute{\ }\right)=-\delta\left(\bar{r}-\bar{r}\acute{\ }\right)\\ \end{aligned}}}

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MathML (3.798 KB / 551 B) :

Φ(r¯)=d3r´G~(r¯r¯´)ρ(r¯´)ε0mit(Δ+k2)G~(r¯r¯´)=δ(r¯r¯´)

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  • ε0
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