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Display information for equation id:math.1325.111 on revision:1325
* Page found: Der Hamiltonsche kanonische Formalismus (eq math.1325.111)
(force rerendering)Occurrences on the following pages:
Hash: 648bc26530dda144ac5bb0cbe05bba0e
TeX (original user input):
\begin{align}
& {{q}_{k}}\left( \bar{Q},\bar{P},t \right)\ aus\ {{P}_{j}}=-\frac{\partial {{M}_{1}}}{\partial {{Q}_{j}}} \\
& und \\
& {{p}_{j}}\left( \bar{Q},\bar{P},t \right)\ aus\ {{p}_{k}}=\frac{\partial {{M}_{1}}}{\partial {{q}_{k}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{q}_{k}}\left({\bar {Q}},{\bar {P}},t\right)\ aus\ {{P}_{j}}=-{\frac {\partial {{M}_{1}}}{\partial {{Q}_{j}}}}\\&und\\&{{p}_{j}}\left({\bar {Q}},{\bar {P}},t\right)\ aus\ {{p}_{k}}={\frac {\partial {{M}_{1}}}{\partial {{q}_{k}}}}\\\end{aligned}}
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MathML (experimentell; keine Bilder) rendering
MathML (2.432 KB / 454 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><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>Q</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>P</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="0.5em"/><mi>a</mi><mi>u</mi><mi>s</mi><mspace width="0.5em"/><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>j</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><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>u</mi><mi>n</mi><mi>d</mi></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>Q</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>P</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="0.5em"/><mi>a</mi><mi>u</mi><mi>s</mi><mspace width="0.5em"/><msub><mi>p</mi><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><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></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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