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Display information for equation id:math.1982.7 on revision:1982

* Page found: Hamilton-Jacobische Differenzialgleichung (eq math.1982.7)

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Hash: a729390350c8e87f92346d72ddd576fa

TeX (original user input):

\begin{align}
  & {{{\dot{P}}}_{k}}=-\frac{\partial H}{\partial {{Q}_{k}}}\equiv 0\Rightarrow {{P}_{k}}={{\alpha }_{k}}=cons \\
 & {{{\dot{Q}}}_{k}}=\frac{\partial \bar{H}}{\partial {{P}_{k}}}\equiv 0\Rightarrow {{Q}_{k}}={{\beta }_{k}}=const \\
\end{align}

TeX (checked):

{\begin{aligned}&{{\dot {P}}_{k}}=-{\frac {\partial H}{\partial {{Q}_{k}}}}\equiv 0\Rightarrow {{P}_{k}}={{\alpha }_{k}}=cons\\&{{\dot {Q}}_{k}}={\frac {\partial {\bar {H}}}{\partial {{P}_{k}}}}\equiv 0\Rightarrow {{Q}_{k}}={{\beta }_{k}}=const\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (19.276 KB / 2.43 KB) :

P ˙ k = - H Q k 0 P k = α k = c o n s Q ˙ k = H ¯ P k 0 Q k = β k = c o n s t missing-subexpression subscript ˙ 𝑃 𝑘 𝐻 subscript 𝑄 𝑘 0 subscript 𝑃 𝑘 subscript 𝛼 𝑘 𝑐 𝑜 𝑛 𝑠 missing-subexpression subscript ˙ 𝑄 𝑘 ¯ 𝐻 subscript 𝑃 𝑘 0 subscript 𝑄 𝑘 subscript 𝛽 𝑘 𝑐 𝑜 𝑛 𝑠 𝑡 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle{{{\dot{P}}}_{k}}=-% \frac{\partial H}{\partial{{Q}_{k}}}\equiv 0\Rightarrow{{P}_{k}}={{\alpha}_{k}% }=cons\\ &\displaystyle{{{\dot{Q}}}_{k}}=\frac{\partial\bar{H}}{\partial{{P}_{k}}}% \equiv 0\Rightarrow{{Q}_{k}}={{\beta}_{k}}=const\\ \end{aligned}}}

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MathML (experimentell; keine Bilder) rendering

MathML (2.058 KB / 412 B) :

P˙k=HQk0Pk=αk=consQ˙k=H¯Pk0Qk=βk=const

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