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Display information for equation id:math.1432.81 on revision:1432
* Page found: Stationäre Ströme und Magnetfeld (eq math.1432.81)
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Hash: 508545d136998b5dae9a846d27be80e6
TeX (original user input):
\bar{B}(\bar{r}):=\nabla \times \frac{{{\mu }_{0}}}{4\pi {{r}^{3}}}\bar{m}\times \bar{r}=\frac{{{\mu }_{0}}}{4\pi {{r}^{5}}}\left[ 3\left( \bar{m}\cdot \bar{r} \right)\bar{r}-{{r}^{2}}\bar{m} \right]
TeX (checked):
{\bar {B}}({\bar {r}}):=\nabla \times {\frac {{\mu }_{0}}{4\pi {{r}^{3}}}}{\bar {m}}\times {\bar {r}}={\frac {{\mu }_{0}}{4\pi {{r}^{5}}}}\left[3\left({\bar {m}}\cdot {\bar {r}}\right){\bar {r}}-{{r}^{2}}{\bar {m}}\right]
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MathML (1.649 KB / 407 B) :
<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"><mover><mi>B</mi><mo>¯</mo></mover><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">)</mo><mo stretchy="false">:=</mo><mi mathvariant="normal">∇</mi><mo stretchy="false">×</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>π</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mrow></mfrac></mrow><mover><mi>m</mi><mo>¯</mo></mover><mo stretchy="false">×</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>π</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow></msup></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mn>3</mn><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>m</mi><mo>¯</mo></mover><mo stretchy="false">⋅</mo><mover><mi>r</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">−</mo><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mover><mi>m</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">]</mo></mrow></mstyle></mrow></math>
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