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Display information for equation id:math.1957.63 on revision:1957

* Page found: Kanonische Transformationen (eq math.1957.63)

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Occurrences on the following pages:

Hash: b6bdf5f87b28a950b77c1d576947c751

TeX (original user input):

\begin{align}
  & \left( {{q}_{k}}+\frac{\partial {{M}_{3}}}{\partial {{p}_{k}}} \right)=0\Rightarrow {{q}_{k}}=-\frac{\partial {{M}_{3}}}{\partial {{p}_{k}}} \\ 
 & {{P}_{k}}=-\frac{\partial {{M}_{2}}}{\partial {{Q}_{k}}} \\ 
\end{align}

TeX (checked):

{\begin{aligned}&\left({{q}_{k}}+{\frac {\partial {{M}_{3}}}{\partial {{p}_{k}}}}\right)=0\Rightarrow {{q}_{k}}=-{\frac {\partial {{M}_{3}}}{\partial {{p}_{k}}}}\\&{{P}_{k}}=-{\frac {\partial {{M}_{2}}}{\partial {{Q}_{k}}}}\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.985 KB / 380 B) :

(qk+M3pk)=0qk=M3pkPk=M2Qk
<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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>q</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>&#x2202;</mi><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mn>0</mn><mo>&#x21D2;</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>=</mo><mo>&#x2212;</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>3</mn></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>=</mo><mo>&#x2212;</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>2</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></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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

Identifiers

  • qk
  • M3
  • pk
  • qk
  • M3
  • pk
  • Pk
  • M2
  • Qk

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