Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.2082.39 on revision:2082

* Page found: Elektrische Multipolentwicklung (eq math.2082.39)

(force rerendering)

Occurrences on the following pages:

Hash: 30356b668a2c8eaf7ac19464bb50fe63

TeX (original user input): 

\begin{align}
& {{Q}_{2}}=\frac{1}{2{{r}^{2}}}{{Q}_{kl}} \\
& \int_{-\infty }^{\infty }{{}}{{d}^{3}}r\acute{\ }\rho (\bar{r}\acute{\ })\left( 3{{x}_{k}}\acute{\ }{{x}_{l}}\acute{\ }-\bar{r}{{\acute{\ }}^{2}}{{\delta }_{kl}} \right)={{Q}_{kl}} \\
\end{align}

TeX (checked): 

{\begin{aligned}&{{Q}_{2}}={\frac {1}{2{{r}^{2}}}}{{Q}_{kl}}\\&\int _{-\infty }^{\infty }{}{{d}^{3}}r{\acute {\ }}\rho ({\bar {r}}{\acute {\ }})\left(3{{x}_{k}}{\acute {\ }}{{x}_{l}}{\acute {\ }}-{\bar {r}}{{\acute {\ }}^{2}}{{\delta }_{kl}}\right)={{Q}_{kl}}\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (23.107 KB / 2.785 KB) :

Q 2 = 1 2 ⁢ r 2 ⁢ Q k ⁢ l ∫ - ∞ ∞ d 3 ⁢ r ⁢ ´ ⁢ ρ ⁢ ( r ¯ ⁢ ´ ) ⁢ ( 3 ⁢ x k ⁢ ´ ⁢ x l ⁢ ´ - r ¯ ⁢ ´ 2 ⁢ δ k ⁢ l ) = Q k ⁢ l missing-subexpression subscript 𝑄 2 1 2 superscript 𝑟 2 subscript 𝑄 𝑘 𝑙 missing-subexpression superscript subscript superscript 𝑑 3 𝑟 ´ absent 𝜌 ¯ 𝑟 ´ absent 3 subscript 𝑥 𝑘 ´ absent subscript 𝑥 𝑙 ´ absent ¯ 𝑟 superscript ´ absent 2 subscript 𝛿 𝑘 𝑙 subscript 𝑄 𝑘 𝑙 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle{{Q}_{2}}=\frac{1}{2% {{r}^{2}}}{{Q}_{kl}}\\ &\displaystyle\int_{-\infty}^{\infty}{{}}{{d}^{3}}r\acute{\ }\rho(\bar{r}% \acute{\ })\left(3{{x}_{k}}\acute{\ }{{x}_{l}}\acute{\ }-\bar{r}{{\acute{\ }}^% {2}}{{\delta}_{kl}}\right)={{Q}_{kl}}\\ \end{aligned}}}

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (2.902 KB / 557 B) :

Q2=12r2Qkl∫−∞∞d3r´ρ(r¯´)(3xk´xl´−r¯´2δkl)=Qkl

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Elektrische Multipolentwicklung page

Identifiers

  • Q2
  • r
  • Qkl
  • r
  • ´
  • ρ
  • r¯
  • ´
  • xk
  • ´
  • xl
  • ´
  • r¯
  • ´
  • δkl
  • Qkl

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“