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Display information for equation id:math.1957.46 on revision:1957
* Page found: Kanonische Transformationen (eq math.1957.46)
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Hash: 887854715a1047002796c0fab48e0e0e
TeX (original user input):
\Leftrightarrow \delta W=\delta \int\limits_{{{t}_{1}}}^{{{t}_{2}}}{dt}L=\delta \int\limits_{{{t}_{1}}}^{{{t}_{2}}}{dt}\left\{ \sum\limits_{k=1}^{f}{{}}{{P}_{k}}{{{\dot{Q}}}_{k}}(t)-\bar{H}\left( \bar{Q},\bar{P},t \right) \right\}=0
TeX (checked):
\Leftrightarrow \delta W=\delta \int \limits _{{t}_{1}}^{{t}_{2}}{dt}L=\delta \int \limits _{{t}_{1}}^{{t}_{2}}{dt}\left\{\sum \limits _{k=1}^{f}{}{{P}_{k}}{{\dot {Q}}_{k}}(t)-{\bar {H}}\left({\bar {Q}},{\bar {P}},t\right)\right\}=0
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<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><mi>δ</mi><mi>W</mi><mo>=</mo><mi>δ</mi><munderover><mo form="prefix" texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></munderover><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow><mi>L</mi><mo>=</mo><mi>δ</mi><munderover><mo form="prefix" texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></munderover><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mo>=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>f</mi></mrow></munderover><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><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 stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo>−</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>¯</mo></mover></mrow></mrow><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><mo data-mjx-texclass="CLOSE">}</mo></mrow><mo>=</mo><mn>0</mn></mstyle></mrow></math>
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