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Display information for equation id:math.1326.137 on revision:1326

* Page found: Der Hamiltonsche kanonische Formalismus (eq math.1326.137)

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Occurrences on the following pages:

Hash: f168a50f34293a7e5e57b51ebde8ddce

TeX (original user input):

\begin{align}
  & \dot{P}=-\frac{\partial H}{\partial Q}=0\Rightarrow P=\alpha =const \\ 
 & \dot{Q}=\frac{\partial H}{\partial P}=\omega \Rightarrow Q=\omega t+\beta  \\ 
\end{align}

TeX (checked):

{\begin{aligned}&{\dot {P}}=-{\frac {\partial H}{\partial Q}}=0\Rightarrow P=\alpha =const\\&{\dot {Q}}={\frac {\partial H}{\partial P}}=\omega \Rightarrow Q=\omega t+\beta \\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.472 KB / 373 B) :

P˙=HQ=0P=α=constQ˙=HP=ωQ=ωt+β
<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><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>P</mi><mo>˙</mo></mover></mrow></mrow><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></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>Q</mi></mrow></mrow></mfrac></mrow><mo>=</mo><mn>0</mn><mo>&#x21D2;</mo><mi>P</mi><mo>=</mo><mi>&#x03B1;</mi><mo>=</mo><mi>c</mi><mi>o</mi><mi>n</mi><mi>s</mi><mi>t</mi></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>Q</mi><mo>˙</mo></mover></mrow></mrow><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></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>P</mi></mrow></mrow></mfrac></mrow><mo>=</mo><mi>&#x03C9;</mi><mo>&#x21D2;</mo><mi>Q</mi><mo>=</mo><mi>&#x03C9;</mi><mi>t</mi><mo>+</mo><mi>&#x03B2;</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Der Hamiltonsche kanonische Formalismus page

Identifiers

  • P˙
  • H
  • Q
  • P
  • α
  • c
  • o
  • n
  • s
  • t
  • Q˙
  • H
  • P
  • ω
  • Q
  • ω
  • t
  • β

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