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Display information for equation id:math.1325.150 on revision:1325
* Page found: Der Hamiltonsche kanonische Formalismus (eq math.1325.150)
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Hash: d68b8d9931d1afcf7b1e26f366e1a1cb
TeX (original user input):
\Rightarrow \dot{\bar{x}}:=\left( \begin{matrix}
0 & 1 \\
-1 & 0 \\
\end{matrix} \right)\left( \begin{matrix}
\frac{\partial H}{\partial q} \\
\frac{\partial H}{\partial p} \\
\end{matrix} \right)=\begin{matrix}
bq+cp \\
-aq-bp \\
\end{matrix}
TeX (checked):
\Rightarrow {\dot {\bar {x}}}:=\left({\begin{matrix}0&1\\-1&0\\\end{matrix}}\right)\left({\begin{matrix}{\frac {\partial H}{\partial q}}\\{\frac {\partial H}{\partial p}}\\\end{matrix}}\right)={\begin{matrix}bq+cp\\-aq-bp\\\end{matrix}}
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MathML (1.787 KB / 393 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo>⇒</mo><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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mn>0</mn></mtd><mtd><mn>1</mn></mtd></mtr><mtr><mtd><mo>−</mo><mn>1</mn></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><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></mtd></mtr><mtr><mtd><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></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>b</mi><mi>q</mi><mo>+</mo><mi>c</mi><mi>p</mi></mtd></mtr><mtr><mtd><mo>−</mo><mi>a</mi><mi>q</mi><mo>−</mo><mi>b</mi><mi>p</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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