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Display information for equation id:math.2133.59 on revision:2133

* Page found: Multipolstrahlung (eq math.2133.59)

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Hash: aec03f88abb64b84a0682b9a9f1923ea

TeX (original user input): 

\bar{\bar{Q}}\left( \tau  \right)=\int_{{}}^{{}}{{{d}^{3}}r\acute{\ }\rho \left( \bar{r}\acute{\ },\tau  \right)}\left( 3\bar{r}\acute{\ }\otimes \bar{r}\acute{\ }-r{{\acute{\ }}^{2}}\bar{\bar{1}} \right)=:\tilde{\bar{\bar{Q}}}-\frac{1}{3}\left( tr\left( {\tilde{\bar{\bar{Q}}}} \right) \right)\bar{\bar{1}}

TeX (checked): 

{\bar {\bar {Q}}}\left(\tau \right)=\int _{}^{}{{{d}^{3}}r{\acute {\ }}\rho \left({\bar {r}}{\acute {\ }},\tau \right)}\left(3{\bar {r}}{\acute {\ }}\otimes {\bar {r}}{\acute {\ }}-r{{\acute {\ }}^{2}}{\bar {\bar {1}}}\right)=:{\tilde {\bar {\bar {Q}}}}-{\frac {1}{3}}\left(tr\left({\tilde {\bar {\bar {Q}}}}\right)\right){\bar {\bar {1}}}

LaTeXML (experimental; uses MathML) rendering

MathML (15.902 KB / 2.293 KB) :

Q ¯ ¯ ( τ ) = ∫ d 3 r ´ ρ ( r ¯ ´ , τ ) ( 3 r ¯ ´ ⊗ r ¯ ´ - r ´ 2 1 ¯ ¯ ) = : Q ¯ ¯ ~ - 1 3 ( t r ( Q ¯ ¯ ~ ) ) 1 ¯ ¯ fragments ¯ ¯ 𝑄 fragments ( τ ) superscript 𝑑 3 r ´ absent ρ fragments ( ¯ 𝑟 ´ absent , τ ) fragments ( 3 ¯ 𝑟 ´ absent tensor-product ¯ 𝑟 ´ absent r superscript ´ absent 2 ¯ ¯ 1 ) : ~ ¯ ¯ 𝑄 1 3 fragments ( t r fragments ( ~ ¯ ¯ 𝑄 ) ) ¯ ¯ 1 {\displaystyle{\displaystyle\bar{\bar{Q}}\left(\tau\right)=\int{{{d}^{3}}r% \acute{\ }\rho\left(\bar{r}\acute{\ },\tau\right)}\left(3\bar{r}\acute{\ }% \otimes\bar{r}\acute{\ }-r{{\acute{\ }}^{2}}\bar{\bar{1}}\right)=:\tilde{\bar{% \bar{Q}}}-\frac{1}{3}\left(tr\left({\tilde{\bar{\bar{Q}}}}\right)\right)\bar{% \bar{1}}}} 
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    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle\bar{\bar{Q}}\left(\tau\right)=\int{{{d}^{3}}r%
\acute{\ }\rho\left(\bar{r}\acute{\ },\tau\right)}\left(3\bar{r}\acute{\ }%
\otimes\bar{r}\acute{\ }-r{{\acute{\ }}^{2}}\bar{\bar{1}}\right)=:\tilde{\bar{%
\bar{Q}}}-\frac{1}{3}\left(tr\left({\tilde{\bar{\bar{Q}}}}\right)\right)\bar{%
\bar{1}}}}</annotation>
  </semantics>
</math>

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MathML (3.659 KB / 467 B) :

Q¯¯(τ)=∫d3r´ρ(r¯´,τ)(3r¯´⊗r¯´−r´21¯¯)=:Q¯¯~−13(tr(Q¯¯~))1¯¯
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Calculated based on the variables occurring on the entire Multipolstrahlung page

Identifiers

  • Q¯¯
  • τ
  • r
  • ´
  • ρ
  • r¯
  • ´
  • τ
  • r¯
  • ´
  • r¯
  • ´
  • r
  • ´
  • 1¯¯
  • Q¯¯~
  • t
  • r
  • Q¯¯~
  • 1¯¯

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