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Display information for equation id:math.2119.1 on revision:2119

* Page found: Impulsbilanz (eq math.2119.1)

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Hash: b1bc8300ddfbc1856389d94d34ed08ca

TeX (original user input): 

\begin{align}
& \bar{B}\times \left( \nabla \times \bar{B} \right)=\frac{1}{2}\nabla \left( \bar{B}\cdot \bar{B} \right)-\left( \bar{B}\cdot \nabla  \right)\bar{B} \\
& \bar{B}\times \left( \nabla \times \bar{B} \right)=\nabla \cdot \left\{ \left( 1 \right)\frac{1}{2}\left( \bar{B}\cdot \bar{B} \right)-\bar{B}\otimes \bar{B} \right\}+\bar{B}\left( \nabla \cdot \bar{B} \right)=\nabla \cdot \left\{ \left( 1 \right)\frac{1}{2}\left( \bar{B}\cdot \bar{B} \right)-\bar{B}\otimes \bar{B} \right\} \\
& \bar{B}\left( \nabla \cdot \bar{B} \right)=0 \\
\end{align}

TeX (checked): 

{\begin{aligned}&{\bar {B}}\times \left(\nabla \times {\bar {B}}\right)={\frac {1}{2}}\nabla \left({\bar {B}}\cdot {\bar {B}}\right)-\left({\bar {B}}\cdot \nabla \right){\bar {B}}\\&{\bar {B}}\times \left(\nabla \times {\bar {B}}\right)=\nabla \cdot \left\{\left(1\right){\frac {1}{2}}\left({\bar {B}}\cdot {\bar {B}}\right)-{\bar {B}}\otimes {\bar {B}}\right\}+{\bar {B}}\left(\nabla \cdot {\bar {B}}\right)=\nabla \cdot \left\{\left(1\right){\frac {1}{2}}\left({\bar {B}}\cdot {\bar {B}}\right)-{\bar {B}}\otimes {\bar {B}}\right\}\\&{\bar {B}}\left(\nabla \cdot {\bar {B}}\right)=0\\\end{aligned}}

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B¯×(∇×B¯)=12∇(B¯⋅B¯)−(B¯⋅∇)B¯B¯×(∇×B¯)=∇⋅{(1)12(B¯⋅B¯)−B¯⊗B¯}+B¯(∇⋅B¯)=∇⋅{(1)12(B¯⋅B¯)−B¯⊗B¯}B¯(∇⋅B¯)=0
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Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“