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Display information for equation id:math.2519.5 on revision:2519

* Page found: Klassisch- mechanische Gleichgewichtsverteilungen (eq math.2519.5)

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Hash: 6de979671c11a8d95bf1baa2164abd1a

TeX (original user input):

\begin{align}

& {{{\dot{q}}}_{k}}=\frac{\partial H\left( \xi  \right)}{\partial {{p}_{k}}} \\

& {{{\dot{p}}}_{k}}=-\frac{\partial H\left( \xi  \right)}{\partial {{q}_{k}}} \\

\end{align}

TeX (checked):

{\begin{aligned}&{{\dot {q}}_{k}}={\frac {\partial H\left(\xi \right)}{\partial {{p}_{k}}}}\\&{{\dot {p}}_{k}}=-{\frac {\partial H\left(\xi \right)}{\partial {{q}_{k}}}}\\\end{aligned}}

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MathML (experimental; no images) rendering

MathML (1.708 KB / 377 B) :

q˙k=H(ξ)pkp˙k=H(ξ)qk
<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><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>H</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>&#x03BE;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>=</mo><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>H</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>&#x03BE;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Klassisch- mechanische Gleichgewichtsverteilungen page

Identifiers

  • q˙k
  • H
  • ξ
  • pk
  • p˙k
  • H
  • ξ
  • qk

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