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Display information for equation id:math.2040.27 on revision:2040
* Page found: Stabilität und Langzeitverhalten (eq math.2040.27)
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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}}
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MathML (1.933 KB / 390 B) :
<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><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mo>˙</mo></mover></mrow></mrow><mi>:</mi><mo>=</mo><mi>J</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>,</mo><mi>x</mi></mrow></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇔</mo><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>∂</mi><mi>H</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo>,</mo><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>−</mo><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><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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