– PhysikWiki

General

Display information for equation id:math.2101.42 on revision:2101

* Page found: Magnetische Multipole (eq math.2101.42)

Occurrences on the following pages:

Magnetische Multipole Eq: math.2101.42

Hash: 7bc615a0978e4fc2cbfb143851e74fd9

TeX (original user input):

\begin{align}
& \bar{F}=\int_{{}}^{{}}{{}}{{d}^{3}}r\acute{\ }\bar{j}(\bar{r}\acute{\ })\times \left[ \left( \bar{r}\acute{\ } \right){{\nabla }_{r}} \right]\bar{B}(\bar{r})-\int_{{}}^{{}}{{}}{{d}^{3}}r\acute{\ }\bar{j}(\bar{r}\acute{\ })\times \left[ \left( {\bar{r}} \right){{\nabla }_{r}} \right]\bar{B}(\bar{r}) \\
& \int_{{}}^{{}}{{}}{{d}^{3}}r\acute{\ }\bar{j}(\bar{r}\acute{\ })\times \left[ \left( {\bar{r}} \right){{\nabla }_{r}} \right]\bar{B}(\bar{r})=0,da\int_{{}}^{{}}{{}}{{d}^{3}}r\acute{\ }\bar{j}(\bar{r}\acute{\ })=0 \\
& \Rightarrow \bar{F}=\int_{{}}^{{}}{{}}{{d}^{3}}r\acute{\ }\bar{j}(\bar{r}\acute{\ })\times \left[ \left( \bar{r}\acute{\ } \right){{\nabla }_{r}} \right]\bar{B}(\bar{r}) \\
& \left[ \left( \bar{r}\acute{\ } \right){{\nabla }_{r}} \right]\bar{B}(\bar{r})={{\nabla }_{r}}\left[ \left( \bar{r}\acute{\ } \right)\cdot \bar{B}(\bar{r}) \right]-\bar{r}\acute{\ }\times \left[ {{\nabla }_{r}}\times \bar{B}(\bar{r}) \right] \\
\end{align}

TeX (checked):

{\begin{aligned}&{\bar {F}}=\int _{}^{}{}{{d}^{3}}r{\acute {\ }}{\bar {j}}({\bar {r}}{\acute {\ }})\times \left[\left({\bar {r}}{\acute {\ }}\right){{\nabla }_{r}}\right]{\bar {B}}({\bar {r}})-\int _{}^{}{}{{d}^{3}}r{\acute {\ }}{\bar {j}}({\bar {r}}{\acute {\ }})\times \left[\left({\bar {r}}\right){{\nabla }_{r}}\right]{\bar {B}}({\bar {r}})\\&\int _{}^{}{}{{d}^{3}}r{\acute {\ }}{\bar {j}}({\bar {r}}{\acute {\ }})\times \left[\left({\bar {r}}\right){{\nabla }_{r}}\right]{\bar {B}}({\bar {r}})=0,da\int _{}^{}{}{{d}^{3}}r{\acute {\ }}{\bar {j}}({\bar {r}}{\acute {\ }})=0\\&\Rightarrow {\bar {F}}=\int _{}^{}{}{{d}^{3}}r{\acute {\ }}{\bar {j}}({\bar {r}}{\acute {\ }})\times \left[\left({\bar {r}}{\acute {\ }}\right){{\nabla }_{r}}\right]{\bar {B}}({\bar {r}})\\&\left[\left({\bar {r}}{\acute {\ }}\right){{\nabla }_{r}}\right]{\bar {B}}({\bar {r}})={{\nabla }_{r}}\left[\left({\bar {r}}{\acute {\ }}\right)\cdot {\bar {B}}({\bar {r}})\right]-{\bar {r}}{\acute {\ }}\times \left[{{\nabla }_{r}}\times {\bar {B}}({\bar {r}})\right]\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :

MathML (experimentell; keine Bilder) rendering

MathML (10.562 KB / 667 B) :

\begin{aligned} \bar{F} = \int_{}^{} d^{3} r \overset{´}{} \bar{j} (\bar{r} \overset{´}{}) \times [(\bar{r} \overset{´}{}) \nabla_{r}] \bar{B} (\bar{r}) - \int_{}^{} d^{3} r \overset{´}{} \bar{j} (\bar{r} \overset{´}{}) \times [(\bar{r}) \nabla_{r}] \bar{B} (\bar{r}) \\ \int_{}^{} d^{3} r \overset{´}{} \bar{j} (\bar{r} \overset{´}{}) \times [(\bar{r}) \nabla_{r}] \bar{B} (\bar{r}) = 0, d a \int_{}^{} d^{3} r \overset{´}{} \bar{j} (\bar{r} \overset{´}{}) = 0 \\ \Rightarrow \bar{F} = \int_{}^{} d^{3} r \overset{´}{} \bar{j} (\bar{r} \overset{´}{}) \times [(\bar{r} \overset{´}{}) \nabla_{r}] \bar{B} (\bar{r}) \\ [(\bar{r} \overset{´}{}) \nabla_{r}] \bar{B} (\bar{r}) = \nabla_{r} [(\bar{r} \overset{´}{}) \cdot \bar{B} (\bar{r})] - \bar{r} \overset{´}{} \times [\nabla_{r} \times \bar{B} (\bar{r})] \end{aligned}

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Identifiers

$\bar{F}$

$r$

$\overset{´}{}$

$\bar{j}$

$\bar{r}$

$\overset{´}{}$

$\bar{r}$

$\overset{´}{}$

$r$

$\bar{B}$

$\bar{r}$

$r$

$\overset{´}{}$

$\bar{j}$

$\bar{r}$

$\overset{´}{}$

$\bar{r}$

$r$

$\bar{B}$

$\bar{r}$

$r$

$\overset{´}{}$

$\bar{j}$

$\bar{r}$

$\overset{´}{}$

$\bar{r}$

$r$

$\bar{B}$

$\bar{r}$

$d$

$a$

$r$

$\overset{´}{}$

$\bar{j}$

$\bar{r}$

$\overset{´}{}$

$\bar{F}$

$r$

$\overset{´}{}$

$\bar{j}$

$\bar{r}$

$\overset{´}{}$

$\bar{r}$

$\overset{´}{}$

$r$

$\bar{B}$

$\bar{r}$

$\bar{r}$

$\overset{´}{}$

$r$

$\bar{B}$

$\bar{r}$

$r$

$\bar{r}$

$\overset{´}{}$

$\bar{B}$

$\bar{r}$

$\bar{r}$

$\overset{´}{}$

$r$

$\bar{B}$

$\bar{r}$

MathML observations

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

General

LaTeXML (experimentell; verwendet MathML) rendering

MathML (experimentell; keine Bilder) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigationsmenü

General

LaTeXML (experimentell; verwendet MathML) rendering

MathML (experimentell; keine Bilder) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigationsmenü

Suche