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Display information for equation id:math.2005.3 on revision:2005

* Page found: Drehimpuls und Bewegungsgleichungen (eq math.2005.3)

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TeX (original user input):

\begin{align}
  & \bar{l}={{{\bar{r}}}_{s}}\times M\bar{V}+\int_{{}}^{{}}{{{d}^{3}}x\rho (\bar{x})\bar{x}}\times \left( \bar{\omega }\times \bar{x} \right) \\
 & \bar{L}=\int_{{}}^{{}}{{{d}^{3}}x\rho (\bar{x})\bar{x}}\times \left( \bar{\omega }\times \bar{x} \right)=\int_{{}}^{{}}{{{d}^{3}}x\rho (\bar{x})\left[ {{x}^{2}}\bar{\omega }-\left( \bar{x}\cdot \bar{\omega } \right)\bar{x} \right]} \\
\end{align}

TeX (checked):

{\begin{aligned}&{\bar {l}}={{\bar {r}}_{s}}\times M{\bar {V}}+\int _{}^{}{{{d}^{3}}x\rho ({\bar {x}}){\bar {x}}}\times \left({\bar {\omega }}\times {\bar {x}}\right)\\&{\bar {L}}=\int _{}^{}{{{d}^{3}}x\rho ({\bar {x}}){\bar {x}}}\times \left({\bar {\omega }}\times {\bar {x}}\right)=\int _{}^{}{{{d}^{3}}x\rho ({\bar {x}})\left[{{x}^{2}}{\bar {\omega }}-\left({\bar {x}}\cdot {\bar {\omega }}\right){\bar {x}}\right]}\\\end{aligned}}

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MathML (4.141 KB / 520 B) :

l¯=r¯s×MV¯+d3xρ(x¯)x¯×(ω¯×x¯)L¯=d3xρ(x¯)x¯×(ω¯×x¯)=d3xρ(x¯)[x2ω¯(x¯ω¯)x¯]
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