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Display information for equation id:math.2045.27 on revision:2045

* Page found: Stabilität und Langzeitverhalten (eq math.2045.27)

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Hash: 09a01417f4f0226e4cd8d52c41abe030

TeX (original user input): 

\begin{align}
  & \dot{\bar{x}}:=J{{{\bar{H}}}_{,x}} \\
 & \Leftrightarrow {{{\dot{q}}}_{k}}=\frac{\partial H}{\partial {{p}_{k}}},{{{\dot{p}}}_{k}}=-\frac{\partial H}{\partial {{q}_{k}}} \\
\end{align}

TeX (checked): 

{\begin{aligned}&{\dot {\bar {x}}}:=J{{\bar {H}}_{,x}}\\&\Leftrightarrow {{\dot {q}}_{k}}={\frac {\partial H}{\partial {{p}_{k}}}},{{\dot {p}}_{k}}=-{\frac {\partial H}{\partial {{q}_{k}}}}\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (14.724 KB / 1.976 KB) :

x ¯ ˙ := J ⁢ H ¯ , x ⇔ q ˙ k = ∂ ⁡ H ∂ ⁡ p k , p ˙ k = - ∂ ⁡ H ∂ ⁡ q k missing-subexpression assign ˙ ¯ 𝑥 𝐽 subscript ¯ 𝐻 fragments , x missing-subexpression ⇔ absent formulae-sequence subscript ˙ 𝑞 𝑘 𝐻 subscript 𝑝 𝑘 subscript ˙ 𝑝 𝑘 𝐻 subscript 𝑞 𝑘 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle\dot{\bar{x}}:=J{{{% \bar{H}}}_{,x}}\\ &\displaystyle\Leftrightarrow{{{\dot{q}}}_{k}}=\frac{\partial H}{\partial{{p}_% {k}}},{{{\dot{p}}}_{k}}=-\frac{\partial H}{\partial{{q}_{k}}}\\ \end{aligned}}}

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MathML (experimentell; keine Bilder) rendering

MathML (1.933 KB / 390 B) :

x¯˙:=JH¯,x⇔q˙k=∂H∂pk,p˙k=−∂H∂qk

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Calculated based on the variables occurring on the entire Stabilität und Langzeitverhalten page

Identifiers

  • x¯˙
  • J
  • H¯,x
  • q˙k
  • H
  • pk
  • p˙k
  • H
  • qk

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