Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.2101.14 on revision:2101

* Page found: Magnetische Multipole (eq math.2101.14)

(force rerendering)

Occurrences on the following pages:

Hash: c068c753414c0f9f1a6d13719db45893

TeX (original user input):

\begin{align}
& {{\nabla }_{r\acute{\ }}}\left[ {{x}_{k}}\acute{\ }\left( \bar{r}\bar{r}\acute{\ } \right)\bar{j} \right]=\left[ \left( \bar{r}\bar{r}\acute{\ } \right){{j}_{k}}+{{x}_{k}}\acute{\ }\left( \bar{r}\bar{j} \right)+{{x}_{k\acute{\ }}}\left( \bar{r}\bar{r}\acute{\ } \right){{\nabla }_{r\acute{\ }}}\cdot \bar{j} \right] \\
& {{\nabla }_{r\acute{\ }}}\cdot \bar{j}=0 \\
& \Rightarrow {{\nabla }_{r\acute{\ }}}\left[ {{x}_{k}}\acute{\ }\left( \bar{r}\bar{r}\acute{\ } \right)\bar{j} \right]=\left[ \left( \bar{r}\bar{r}\acute{\ } \right){{j}_{k}}+{{x}_{k}}\acute{\ }\left( \bar{r}\bar{j} \right) \right] \\
\end{align}

TeX (checked):

{\begin{aligned}&{{\nabla }_{r{\acute {\ }}}}\left[{{x}_{k}}{\acute {\ }}\left({\bar {r}}{\bar {r}}{\acute {\ }}\right){\bar {j}}\right]=\left[\left({\bar {r}}{\bar {r}}{\acute {\ }}\right){{j}_{k}}+{{x}_{k}}{\acute {\ }}\left({\bar {r}}{\bar {j}}\right)+{{x}_{k{\acute {\ }}}}\left({\bar {r}}{\bar {r}}{\acute {\ }}\right){{\nabla }_{r{\acute {\ }}}}\cdot {\bar {j}}\right]\\&{{\nabla }_{r{\acute {\ }}}}\cdot {\bar {j}}=0\\&\Rightarrow {{\nabla }_{r{\acute {\ }}}}\left[{{x}_{k}}{\acute {\ }}\left({\bar {r}}{\bar {r}}{\acute {\ }}\right){\bar {j}}\right]=\left[\left({\bar {r}}{\bar {r}}{\acute {\ }}\right){{j}_{k}}+{{x}_{k}}{\acute {\ }}\left({\bar {r}}{\bar {j}}\right)\right]\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (49.404 KB / 4.785 KB) :

r ´ [ x k ´ ( r ¯ r ¯ ´ ) j ¯ ] = [ ( r ¯ r ¯ ´ ) j k + x k ´ ( r ¯ j ¯ ) + x k ´ ( r ¯ r ¯ ´ ) r ´ j ¯ ] r ´ j ¯ = 0 r ´ [ x k ´ ( r ¯ r ¯ ´ ) j ¯ ] = [ ( r ¯ r ¯ ´ ) j k + x k ´ ( r ¯ j ¯ ) ] missing-subexpression subscript 𝑟 ´ absent subscript 𝑥 𝑘 ´ absent ¯ 𝑟 ¯ 𝑟 ´ absent ¯ 𝑗 delimited-[] ¯ 𝑟 ¯ 𝑟 ´ absent subscript 𝑗 𝑘 subscript 𝑥 𝑘 ´ absent ¯ 𝑟 ¯ 𝑗 subscript 𝑥 𝑘 ´ absent ¯ 𝑟 ¯ 𝑟 ´ absent subscript 𝑟 ´ absent ¯ 𝑗 missing-subexpression subscript 𝑟 ´ absent ¯ 𝑗 0 missing-subexpression absent subscript 𝑟 ´ absent subscript 𝑥 𝑘 ´ absent ¯ 𝑟 ¯ 𝑟 ´ absent ¯ 𝑗 delimited-[] ¯ 𝑟 ¯ 𝑟 ´ absent subscript 𝑗 𝑘 subscript 𝑥 𝑘 ´ absent ¯ 𝑟 ¯ 𝑗 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle{{\nabla}_{r\acute{% \ }}}\left[{{x}_{k}}\acute{\ }\left(\bar{r}\bar{r}\acute{\ }\right)\bar{j}% \right]=\left[\left(\bar{r}\bar{r}\acute{\ }\right){{j}_{k}}+{{x}_{k}}\acute{% \ }\left(\bar{r}\bar{j}\right)+{{x}_{k\acute{\ }}}\left(\bar{r}\bar{r}\acute{% \ }\right){{\nabla}_{r\acute{\ }}}\cdot\bar{j}\right]\\ &\displaystyle{{\nabla}_{r\acute{\ }}}\cdot\bar{j}=0\\ &\displaystyle\Rightarrow{{\nabla}_{r\acute{\ }}}\left[{{x}_{k}}\acute{\ }% \left(\bar{r}\bar{r}\acute{\ }\right)\bar{j}\right]=\left[\left(\bar{r}\bar{r}% \acute{\ }\right){{j}_{k}}+{{x}_{k}}\acute{\ }\left(\bar{r}\bar{j}\right)% \right]\\ \end{aligned}}}

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (6.864 KB / 535 B) :

r´[xk´(r¯r¯´)j¯]=[(r¯r¯´)jk+xk´(r¯j¯)+xk´(r¯r¯´)r´j¯]r´j¯=0r´[xk´(r¯r¯´)j¯]=[(r¯r¯´)jk+xk´(r¯j¯)]

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Magnetische Multipole page

Identifiers

  • r
  • ´
  • xk
  • ´
  • r¯
  • r¯
  • ´
  • j¯
  • r¯
  • r¯
  • ´
  • jk
  • xk
  • ´
  • r¯
  • j¯
  • x
  • k
  • ´
  • r¯
  • r¯
  • ´
  • r
  • ´
  • j¯
  • r
  • ´
  • j¯
  • r
  • ´
  • xk
  • ´
  • r¯
  • r¯
  • ´
  • j¯
  • r¯
  • r¯
  • ´
  • jk
  • xk
  • ´
  • r¯
  • j¯

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results