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Display information for equation id:math.2005.30 on revision:2005

* Page found: Drehimpuls und Bewegungsgleichungen (eq math.2005.30)

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Occurrences on the following pages:

Hash: 498ee165cdf616255d74b2500d08a9a5

TeX (original user input):

\begin{align}
  & {{J}_{1}}{{{\dot{\omega }}}_{1}}=\left( {{J}_{2}}-{{J}_{3}} \right){{\omega }_{2}}{{\omega }_{3}} \\
 & {{J}_{2}}{{{\dot{\omega }}}_{2}}=\left( {{J}_{3}}-{{J}_{1}} \right){{\omega }_{3}}{{\omega }_{1}} \\
 & {{J}_{3}}{{{\dot{\omega }}}_{3}}=\left( {{J}_{1}}-{{J}_{2}} \right){{\omega }_{1}}{{\omega }_{2}} \\
\end{align}

TeX (checked):

{\begin{aligned}&{{J}_{1}}{{\dot {\omega }}_{1}}=\left({{J}_{2}}-{{J}_{3}}\right){{\omega }_{2}}{{\omega }_{3}}\\&{{J}_{2}}{{\dot {\omega }}_{2}}=\left({{J}_{3}}-{{J}_{1}}\right){{\omega }_{3}}{{\omega }_{1}}\\&{{J}_{3}}{{\dot {\omega }}_{3}}=\left({{J}_{1}}-{{J}_{2}}\right){{\omega }_{1}}{{\omega }_{2}}\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (2.497 KB / 414 B) :

J1ω˙1=(J2J3)ω2ω3J2ω˙2=(J3J1)ω3ω1J3ω˙3=(J1J2)ω1ω2
<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><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C9;</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>&#x2212;</mo><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi>&#x03C9;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>&#x03C9;</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C9;</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><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo>&#x2212;</mo><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi>&#x03C9;</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>&#x03C9;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C9;</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>&#x2212;</mo><msub><mi>J</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi>&#x03C9;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>&#x03C9;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Identifiers

  • J1
  • ω˙1
  • J2
  • J3
  • ω2
  • ω3
  • J2
  • ω˙2
  • J3
  • J1
  • ω3
  • ω1
  • J3
  • ω˙3
  • J1
  • J2
  • ω1
  • ω2

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