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Display information for equation id:math.1956.35 on revision:1956

* Page found: Kanonische Transformationen (eq math.1956.35)

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Occurrences on the following pages:

Hash: 8c46ab22d3160132591f6bb95bd84eae

TeX (original user input):

\frac{d}{dt}{{M}_{1}}=\sum\limits_{k=1}^{f}{{}}\left( \frac{\partial {{M}_{1}}}{\partial {{q}_{k}}}{{{\dot{q}}}_{k}}(t)+\frac{\partial {{M}_{1}}}{\partial {{Q}_{k}}}{{{\dot{Q}}}_{k}}(t) \right)+\frac{\partial {{M}_{1}}}{\partial t}

TeX (checked):

{\frac {d}{dt}}{{M}_{1}}=\sum \limits _{k=1}^{f}{}\left({\frac {\partial {{M}_{1}}}{\partial {{q}_{k}}}}{{\dot {q}}_{k}}(t)+{\frac {\partial {{M}_{1}}}{\partial {{Q}_{k}}}}{{\dot {Q}}_{k}}(t)\right)+{\frac {\partial {{M}_{1}}}{\partial t}}

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MathML (experimental; no images) rendering

MathML (2.271 KB / 389 B) :

ddtM1=k=1f(M1qkq˙k(t)+M1QkQ˙k(t))+M1t
<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"><mfrac><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>=</mo><munderover><mo form="prefix" texclass="OP">&#x2211;</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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</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>&#x2202;</mi><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow></mfrac></mrow><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"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</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>&#x2202;</mi><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow></mfrac></mrow><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 data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</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>&#x2202;</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mstyle></mrow></math>

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

Identifiers

  • d
  • d
  • t
  • M1
  • k
  • f
  • M1
  • qk
  • q˙k
  • t
  • M1
  • Qk
  • Q˙k
  • t
  • M1
  • t

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