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Display information for equation id:math.1411.151 on revision:1411

* Page found: Symmetrien und Erhaltungsgrößen (eq math.1411.151)

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TeX (original user input):

\bar{l}={{m}_{1}}{{\bar{r}}_{1}}\times {{\bar{v}}_{1}}+{{m}_{2}}{{\bar{r}}_{2}}\times {{\bar{v}}_{2}}=\left( \frac{{{m}_{1}}{{m}_{2}}^{2}}{{{M}^{2}}}+\frac{{{m}_{2}}{{m}_{1}}^{2}}{{{M}^{2}}} \right)\bar{r}\times \dot{\bar{r}}=m\bar{r}\times \dot{\bar{r}}=const

TeX (checked):

{\bar {l}}={{m}_{1}}{{\bar {r}}_{1}}\times {{\bar {v}}_{1}}+{{m}_{2}}{{\bar {r}}_{2}}\times {{\bar {v}}_{2}}=\left({\frac {{{m}_{1}}{{m}_{2}}^{2}}{{M}^{2}}}+{\frac {{{m}_{2}}{{m}_{1}}^{2}}{{M}^{2}}}\right){\bar {r}}\times {\dot {\bar {r}}}=m{\bar {r}}\times {\dot {\bar {r}}}=const

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MathML (experimentell; keine Bilder) rendering

MathML (2.837 KB / 377 B) :

l¯=m1r¯1×v¯1+m2r¯2×v¯2=(m1m22M2+m2m12M2)r¯×r¯˙=mr¯×r¯˙=const
<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"><mrow data-mjx-texclass="ORD"><mover><mi>l</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><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>1</mn></mrow></msub><mo>&#x00D7;</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>v</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>+</mo><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><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></msub><mo>&#x00D7;</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>v</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msup><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msup><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x00D7;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>˙</mo></mover></mrow></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><mo>&#x00D7;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>˙</mo></mover></mrow></mrow><mo>=</mo><mi>c</mi><mi>o</mi><mi>n</mi><mi>s</mi><mi>t</mi></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Symmetrien und Erhaltungsgrößen page

Identifiers

  • l¯
  • m1
  • r¯1
  • v¯1
  • m2
  • r¯2
  • v¯2
  • m1
  • m2
  • M
  • m2
  • m1
  • M
  • r¯
  • r¯˙
  • m
  • r¯
  • r¯˙
  • c
  • o
  • n
  • s
  • t

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