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Display information for equation id:math.1128.13 on revision:1128
* Page found: Effektives Potential (eq math.1128.13)
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Hash: ef5891756c31a13738130a985ddb1441
TeX (original user input):
L\left( \dot{q},q,t \right)=\frac{1}{2}\mu {{\dot{r}}^{2}}-\frac{L_{z}^{2}}{2\mu {{r}^{2}}}+\frac{\alpha }{r}
TeX (checked):
L\left({\dot {q}},q,t\right)={\frac {1}{2}}\mu {{\dot {r}}^{2}}-{\frac {L_{z}^{2}}{2\mu {{r}^{2}}}}+{\frac {\alpha }{r}}
LaTeXML (experimentell; verwendet MathML) rendering
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MathML (1.315 KB / 339 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>L</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow><mo>,</mo><mi>q</mi><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</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><mi>μ</mi><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msubsup><mi>L</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>μ</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></mfrac></mrow></mstyle></mrow></math>
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