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Display information for equation id:math.1432.86 on revision:1432
* Page found: Stationäre Ströme und Magnetfeld (eq math.1432.86)
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Hash: 8edd3950269d46e226a9e8dbb4b8fd98
TeX (original user input):
\Rightarrow \bar{m}=\frac{1}{2}\oint\limits_{L}{{}}{{d}^{3}}r\acute{\ }\left( \bar{r}\acute{\ }\times \bar{j}(\bar{r}\acute{\ }) \right)=\frac{I}{2}\oint\limits_{L}{{}}\bar{r}\acute{\ }\times d\bar{s}\acute{\ }=I\int_{F}^{{}}{{}}d\bar{f}\acute{\ }=IF\bar{n}
TeX (checked):
\Rightarrow {\bar {m}}={\frac {1}{2}}\oint \limits _{L}{}{{d}^{3}}r{\acute {\ }}\left({\bar {r}}{\acute {\ }}\times {\bar {j}}({\bar {r}}{\acute {\ }})\right)={\frac {I}{2}}\oint \limits _{L}{}{\bar {r}}{\acute {\ }}\times d{\bar {s}}{\acute {\ }}=I\int _{F}^{}{}d{\bar {f}}{\acute {\ }}=IF{\bar {n}}
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<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">⇒</mo><mover><mi>m</mi><mo>¯</mo></mover><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><munder><mo>∮</mo><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></munder><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">×</mo><mover><mi>j</mi><mo>¯</mo></mover><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><munder><mo>∮</mo><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></munder><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">×</mo><mi>d</mi><mover><mi>s</mi><mo>¯</mo></mover><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">=</mo><mi>I</mi><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>F</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><mi>d</mi><mover><mi>f</mi><mo>¯</mo></mover><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">=</mo><mi>I</mi><mi>F</mi><mover><mi>n</mi><mo>¯</mo></mover></mstyle></mrow></math>
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