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Display information for equation id:math.1411.183 on revision:1411
* Page found: Symmetrien und Erhaltungsgrößen (eq math.1411.183)
(force rerendering)Occurrences on the following pages:
Hash: b504d41afaf5970c24a73fa4f3003895
TeX (original user input):
\frac{dr}{d\phi }=\frac{{\dot{r}}}{{\dot{\phi }}}=\frac{m{{r}^{2}}\sqrt{\frac{2}{m}\left( E-\tilde{V}(r) \right)}}{l}={{r}^{2}}\sqrt{\frac{2m}{{{l}^{2}}}\left( E-\tilde{V}(r) \right)}
TeX (checked):
{\frac {dr}{d\phi }}={\frac {\dot {r}}{\dot {\phi }}}={\frac {m{{r}^{2}}{\sqrt {{\frac {2}{m}}\left(E-{\tilde {V}}(r)\right)}}}{l}}={{r}^{2}}{\sqrt {{\frac {2m}{{l}^{2}}}\left(E-{\tilde {V}}(r)\right)}}
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MathML (2.267 KB / 383 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"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>r</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>ϕ</mi></mrow></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>˙</mo></mover></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ϕ</mi><mo>˙</mo></mover></mrow></mrow></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>E</mi><mo>−</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>V</mi><mo>~</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></msqrt></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></mfrac></mrow><mo>=</mo><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>l</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>E</mi><mo>−</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>V</mi><mo>~</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></msqrt></mrow></mstyle></mrow></math>
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