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Display information for equation id:math.1686.9 on revision:1686

* Page found: Magnetisches Moment und Zeeman- Effekt (eq math.1686.9)

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Hash: 9b4b588a1d42cc7200720b1852cf0611

TeX (original user input): 

\bar{B}=\nabla \times \bar{A}=\frac{1}{2}\left( \bar{B}\left( \nabla \cdot \bar{r} \right) \right)-\frac{1}{2}\left( \bar{B}\cdot \nabla  \right)\bar{r}=\frac{1}{2}\left( \nabla \times \left( \bar{B}\times \bar{r} \right) \right)=\bar{B}

TeX (checked): 

{\bar {B}}=\nabla \times {\bar {A}}={\frac {1}{2}}\left({\bar {B}}\left(\nabla \cdot {\bar {r}}\right)\right)-{\frac {1}{2}}\left({\bar {B}}\cdot \nabla \right){\bar {r}}={\frac {1}{2}}\left(\nabla \times \left({\bar {B}}\times {\bar {r}}\right)\right)={\bar {B}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (13.362 KB / 1.83 KB) :

B ¯ = ∇ × A ¯ = 1 2 ⁢ ( B ¯ ⁢ ( ∇ ⋅ r ¯ ) ) - 1 2 ⁢ ( B ¯ ⋅ ∇ ) ⁢ r ¯ = 1 2 ⁢ ( ∇ × ( B ¯ × r ¯ ) ) = B ¯ ¯ 𝐵 ∇ ¯ 𝐴 1 2 ¯ 𝐵 ⋅ ∇ ¯ 𝑟 1 2 ⋅ ¯ 𝐵 ∇ ¯ 𝑟 1 2 ∇ ¯ 𝐵 ¯ 𝑟 ¯ 𝐵 {\displaystyle{\displaystyle\bar{B}=\nabla\times\bar{A}=\frac{1}{2}\left(\bar{% B}\left(\nabla\cdot\bar{r}\right)\right)-\frac{1}{2}\left(\bar{B}\cdot\nabla% \right)\bar{r}=\frac{1}{2}\left(\nabla\times\left(\bar{B}\times\bar{r}\right)% \right)=\bar{B}}}

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MathML (experimentell; keine Bilder) rendering

MathML (2.386 KB / 345 B) :

B¯=∇×A¯=12(B¯(∇⋅r¯))−12(B¯⋅∇)r¯=12(∇×(B¯×r¯))=B¯

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Identifiers

  • B¯
  • A¯
  • B¯
  • r¯
  • B¯
  • r¯
  • B¯
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  • B¯

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