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Display information for equation id:math.1411.166 on revision:1411
* Page found: Symmetrien und Erhaltungsgrößen (eq math.1411.166)
(force rerendering)Occurrences on the following pages:
Hash: 15db2115878ed17d518a4f955ae7df70
TeX (original user input):
\begin{align}
& \frac{\partial L}{\partial \dot{r}}=m\dot{r} \\
& \frac{\partial L}{\partial r}=mr{{{\dot{\phi }}}^{2}}-V\acute{\ }(r) \\
\end{align}
TeX (checked):
{\begin{aligned}&{\frac {\partial L}{\partial {\dot {r}}}}=m{\dot {r}}\\&{\frac {\partial L}{\partial r}}=mr{{\dot {\phi }}^{2}}-V{\acute {\ }}(r)\\\end{aligned}}
LaTeXML (experimentell; verwendet MathML) rendering
MathML (0 B / 8 B) :
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MathML (experimentell; keine Bilder) rendering
MathML (1.639 KB / 402 B) :
<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="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>L</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>˙</mo></mover></mrow></mrow></mrow></mrow></mfrac></mrow><mo>=</mo><mi>m</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>˙</mo></mover></mrow></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>L</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>r</mi></mrow></mrow></mfrac></mrow><mo>=</mo><mi>m</mi><mi>r</mi><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ϕ</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><mi>V</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><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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