General Display information for equation id:math.2100.8 on revision:2100
* Page found: Magnetische Multipole (eq math.2100.8)
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Hash: 42f9a31a1662df7f681a0ff9287dff5e
TeX (original user input):
{{ \nabla }_{ r\acute { \ }}} \cdot \left [ {{x}_{k}}\acute{\ }\bar{j}(\bar{r}\acute{\ }) \right] ={{ x}_{ k}} \acute { \ } \left ( {{ \nabla }_{ r\acute { \ }}} \cdot \bar { j} (\bar { r} \acute { \ } ) \right )+\bar { j} (\bar { r} \acute { \ } )\cdot \left ( {{ \nabla }_{ r\acute { \ }}}{{ x}_{ k}} \acute { \ } \right )
TeX (checked):
{{ \nabla }_{ r{ \acute { \ }}}} \cdot \left [{{x}_{k}}{\acute {\ }}{\bar {j}}({\bar {r}}{\acute {\ }})\right] ={{ x}_{ k}}{ \acute { \ }} \left ({{ \nabla }_{ r{ \acute { \ }}}} \cdot { \bar { j}} ({ \bar { r}}{ \acute { \ }} )\right )+{ \bar { j}} ({ \bar { r}}{ \acute { \ }} )\cdot \left ({{ \nabla }_{ r{ \acute { \ }}}}{{ x}_{ k}}{ \acute { \ }} \right )
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MathML (experimentell; keine Bilder) rendering Ausklappen MathML (3.298 KB / 396 B) :
∇ r ´ ⋅ [ x k ´ j ¯ ( r ¯ ´ ) ] = x k ´ ( ∇ r ´ ⋅ j ¯ ( r ¯ ´ ) ) + j ¯ ( r ¯ ´ ) ⋅ ( ∇ r ´ x k ´ ) <math class= "mwe-math-element" xmlns= "http://www.w3.org/1998/Math/MathML" ><mrow data-mjx-texclass= "ORD" ><mstyle displaystyle= "true" scriptlevel= "0" ><msub><mi mathvariant= "normal" > ∇ </mi><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mi> r</mi><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mspace width= "0.5em" /><mo data-mjx-pseudoscript= "true" > ´</mo></mover></mrow></mrow></mrow></mrow></msub></mstyle><mo> ⋅ </mo><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > [</mo><msub><mi> x</mi><mrow data-mjx-texclass= "ORD" ><mi> k</mi></mrow></msub><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mspace width= "0.5em" /><mo data-mjx-pseudoscript= "true" > ´</mo></mover></mrow></mrow><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><msub><mi> x</mi><mrow data-mjx-texclass= "ORD" ><mi> k</mi></mrow></msub><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mspace width= "0.5em" /><mo data-mjx-pseudoscript= "true" > ´</mo></mover></mrow></mrow><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > (</mo><msub><mi mathvariant= "normal" > ∇ </mi><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mi> r</mi><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mspace width= "0.5em" /><mo data-mjx-pseudoscript= "true" > ´</mo></mover></mrow></mrow></mrow></mrow></msub><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> 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> ⋅ </mo><mrow data-mjx-texclass= "INNER" ><mo data-mjx-texclass= "OPEN" > (</mo><msub><mi mathvariant= "normal" > ∇ </mi><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mi> r</mi><mrow data-mjx-texclass= "ORD" ><mrow data-mjx-texclass= "ORD" ><mover><mspace width= "0.5em" /><mo data-mjx-pseudoscript= "true" > ´</mo></mover></mrow></mrow></mrow></mrow></msub><msub><mi> x</mi><mrow data-mjx-texclass= "ORD" ><mi> k</mi></mrow></msub><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></math>
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