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Display information for equation id:math.1947.4 on revision:1947

* Page found: Die Hamiltonschen Gleichungen (eq math.1947.4)

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Hash: 473b96c1757391690218dc5725df36fa

TeX (original user input):

\begin{align}
  & \frac{\partial H}{\partial q}=-\frac{\partial L}{\partial q} \\ 
 & \frac{\partial H}{\partial p}=\dot{q} \\ 
 & \frac{\partial H}{\partial t}=-\frac{\partial L}{\partial t} \\ 
\end{align}

TeX (checked):

{\begin{aligned}&{\frac {\partial H}{\partial q}}=-{\frac {\partial L}{\partial q}}\\&{\frac {\partial H}{\partial p}}={\dot {q}}\\&{\frac {\partial H}{\partial t}}=-{\frac {\partial L}{\partial t}}\\\end{aligned}}

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MathML (experimentell; keine Bilder) rendering

MathML (1.919 KB / 304 B) :

Hq=LqHp=q˙Ht=Lt
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi></mi><mi>H</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi></mi><mi>q</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi></mi><mi>L</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi></mi><mi>q</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi></mi><mi>H</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi></mi><mi>p</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mover><mi>q</mi><mo>˙</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi></mi><mi>H</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi></mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi></mi><mi>L</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi></mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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Identifiers

  • H
  • q
  • L
  • q
  • H
  • p
  • q˙
  • H
  • t
  • L
  • t

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