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Display information for equation id:math.1411.174 on revision:1411

* Page found: Symmetrien und Erhaltungsgrößen (eq math.1411.174)

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TeX (original user input):

T=\frac{m}{2}\left( {{{\dot{r}}}^{2}}+\frac{{{l}^{2}}}{{{m}^{2}}{{r}^{2}}} \right)=\frac{m}{2}\left( {{{\dot{r}}}^{2}}+{{r}^{2}}{{{\dot{\phi }}}^{2}} \right)

TeX (checked):

T={\frac {m}{2}}\left({{\dot {r}}^{2}}+{\frac {{l}^{2}}{{{m}^{2}}{{r}^{2}}}}\right)={\frac {m}{2}}\left({{\dot {r}}^{2}}+{{r}^{2}}{{\dot {\phi }}^{2}}\right)

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MathML (1.653 KB / 310 B) :

T=m2(r˙2+l2m2r2)=m2(r˙2+r2ϕ˙2)
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><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"><msup><mi>l</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><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><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03D5;</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>

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  • T
  • m
  • r˙
  • l
  • m
  • r
  • m
  • r˙
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  • ϕ˙

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