General Display information for equation id:math.2101.13 on revision:2101
* Page found: Magnetische Multipole (eq math.2101.13)
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TeX (original user input):
\left [ \bar{r}\acute{\ }\times \bar{j}(\bar{r}\acute{\ }) \right] \times \bar { r} =\left ( \bar { r} \bar { r} \acute { \ } \right )\bar { j} -\left ( \bar { r} \bar { j} \right )\bar { r} \acute { \ } =2\left ( \bar { r} \bar { r} \acute { \ } \right )\bar { j} -\left [ \left( \bar{r}\bar{r}\acute{\ } \right)\bar{j}+\left( \bar{r}\bar{j} \right)\bar{r}\acute{\ } \right]
TeX (checked):
\left [{\bar {r}}{\acute {\ }}\times {\bar {j}}({\bar {r}}{\acute {\ }})\right] \times { \bar { r}} =\left ({ \bar { r}}{ \bar { r}}{ \acute { \ }} \right ){ \bar { j}} -\left ({ \bar { r}}{ \bar { j}} \right ){ \bar { r}}{ \acute { \ }} =2\left ({ \bar { r}}{ \bar { r}}{ \acute { \ }} \right ){ \bar { j}} -\left [\left({\bar {r}}{\bar {r}}{\acute {\ }}\right){\bar {j}}+\left({\bar {r}}{\bar {j}}\right){\bar {r}}{\acute {\ }}\right]
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[ r ¯ ´ × j ¯ ( r ¯ ´ ) ] × r ¯ = ( r ¯ r ¯ ´ ) j ¯ − ( r ¯ j ¯ ) r ¯ ´ = 2 ( r ¯ r ¯ ´ ) j ¯ − [ ( r ¯ r ¯ ´ ) j ¯ + ( r ¯ j ¯ ) r ¯ ´ ] <math class= "mwe-math-element" xmlns= "http://www.w3.org/1998/Math/MathML" ><mrow data-mjx-texclass= "ORD" ><mstyle displaystyle= "true" scriptlevel= "0" ><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > [</mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mspace width= "0.5em" /><mo data-mjx-pseudoscript= "true" > ´</mo></mover></mrow></mrow><mo> × </mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> j</mi><mo> ¯</mo></mover></mrow></mrow><mo stretchy= "false" > (</mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mspace width= "0.5em" /><mo data-mjx-pseudoscript= "true" > ´</mo></mover></mrow></mrow><mo stretchy= "false" > )</mo><mo data-mjx-texclass= "CLOSE" > ]</mo></mrow><mo> × </mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mo> =</mo><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > (</mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mspace width= "0.5em" /><mo data-mjx-pseudoscript= "true" > ´</mo></mover></mrow></mrow><mo data-mjx-texclass= "CLOSE" > )</mo></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> j</mi><mo> ¯</mo></mover></mrow></mrow><mo> − </mo><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > (</mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> j</mi><mo> ¯</mo></mover></mrow></mrow><mo data-mjx-texclass= "CLOSE" > )</mo></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mspace width= "0.5em" /><mo data-mjx-pseudoscript= "true" > ´</mo></mover></mrow></mrow><mo> =</mo><mn> 2</mn><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > (</mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mspace width= "0.5em" /><mo data-mjx-pseudoscript= "true" > ´</mo></mover></mrow></mrow><mo data-mjx-texclass= "CLOSE" > )</mo></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> j</mi><mo> ¯</mo></mover></mrow></mrow><mo> − </mo><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > [</mo><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > (</mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mspace width= "0.5em" /><mo data-mjx-pseudoscript= "true" > ´</mo></mover></mrow></mrow><mo data-mjx-texclass= "CLOSE" > )</mo></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> j</mi><mo> ¯</mo></mover></mrow></mrow><mo> +</mo><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > (</mo><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> j</mi><mo> ¯</mo></mover></mrow></mrow><mo data-mjx-texclass= "CLOSE" > )</mo></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mi> r</mi><mo> ¯</mo></mover></mrow></mrow><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mspace width= "0.5em" /><mo data-mjx-pseudoscript= "true" > ´</mo></mover></mrow></mrow><mo data-mjx-texclass= "CLOSE" > ]</mo></mrow></mstyle></mrow></math>
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