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Display information for equation id:math.1957.18 on revision:1957
* Page found: Kanonische Transformationen (eq math.1957.18)
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Hash: b7369be87dccf27d9a4a845c45c8d9b0
TeX (original user input):
\begin{align}
& {{{\dot{Q}}}_{k}}=\frac{\partial H}{\partial {{P}_{k}}}=:{{v}_{k}}(t) \\
& \Rightarrow {{Q}_{k}}=\int\limits_{{{t}_{0}}}^{t}{{{v}_{k}}(t\acute{\ })dt\acute{\ }}+{{\beta }_{k}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\dot {Q}}_{k}}={\frac {\partial H}{\partial {{P}_{k}}}}=:{{v}_{k}}(t)\\&\Rightarrow {{Q}_{k}}=\int \limits _{{t}_{0}}^{t}{{{v}_{k}}(t{\acute {\ }})dt{\acute {\ }}}+{{\beta }_{k}}\\\end{aligned}}
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MathML (1.993 KB / 492 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><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><mi>:</mi><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>=</mo><munderover><mo form="prefix" texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><msub><mi>v</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mi>d</mi><mi>t</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow></mrow><mo>+</mo><msub><mi>β</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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