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Display information for equation id:math.1957.50 on revision:1957

* Page found: Kanonische Transformationen (eq math.1957.50)

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Hash: 5a2bd5c0ad1c194ba2dc91f8d5c8a032

TeX (original user input):

\int\limits_{{{t}_{1}}}^{{{t}_{2}}}{dt{{P}_{k}}\delta {{{\dot{Q}}}_{k}}(t)}=\left. {{P}_{k}}\delta {{Q}_{k}} \right|_{{{t}_{1}}}^{{{t}_{2}}}-\int\limits_{{{t}_{1}}}^{{{t}_{2}}}{dt{{{\dot{P}}}_{k}}\delta {{Q}_{k}}}

TeX (checked):

\int \limits _{{t}_{1}}^{{t}_{2}}{dt{{P}_{k}}\delta {{\dot {Q}}_{k}}(t)}=\left.{{P}_{k}}\delta {{Q}_{k}}\right|_{{t}_{1}}^{{t}_{2}}-\int \limits _{{t}_{1}}^{{t}_{2}}{dt{{\dot {P}}_{k}}\delta {{Q}_{k}}}

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MathML (1.911 KB / 387 B) :

t1t2dtPkδQ˙k(t)=PkδQk|t1t2t1t2dtP˙kδQk
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><munderover><mo form="prefix" texclass="OP">&#x222B;</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><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mi>&#x03B4;</mi><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></mrow><mo>=</mo><msubsup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mi>&#x03B4;</mi><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow><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></msubsup><mo>&#x2212;</mo><munderover><mo form="prefix" texclass="OP">&#x222B;</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><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><mi>&#x03B4;</mi><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Kanonische Transformationen page

Identifiers

  • t1
  • t2
  • t
  • Pk
  • δ
  • Q˙k
  • t
  • Pk
  • δ
  • Qk
  • t1
  • t2
  • t1
  • t2
  • t
  • P˙k
  • δ
  • Qk

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