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Display information for equation id:math.1325.51 on revision:1325

* Page found: Der Hamiltonsche kanonische Formalismus (eq math.1325.51)

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Occurrences on the following pages:

Hash: 41b71a6a57c8d89f81f27964f3b89045

TeX (original user input):

\begin{align}
  & {{p}_{k}}=\frac{\partial L}{\partial {{{\dot{q}}}_{k}}} \\ 
 & {{p}_{r}}=m\dot{r} \\ 
 & {{p}_{\phi }}=m{{r}^{2}}\dot{\phi } \\ 
 & {{p}_{z}}=m\dot{z} \\ 
\end{align}

TeX (checked):

{\begin{aligned}&{{p}_{k}}={\frac {\partial L}{\partial {{\dot {q}}_{k}}}}\\&{{p}_{r}}=m{\dot {r}}\\&{{p}_{\phi }}=m{{r}^{2}}{\dot {\phi }}\\&{{p}_{z}}=m{\dot {z}}\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.693 KB / 363 B) :

pk=Lq˙kpr=mr˙pϕ=mr2ϕ˙pz=mz˙
<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>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>&#x2202;</mi><mi>L</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</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></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo>=</mo><mi>m</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>˙</mo></mover></mrow></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>&#x03D5;</mi></mrow></msub><mo>=</mo><mi>m</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03D5;</mi><mo>˙</mo></mover></mrow></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub><mo>=</mo><mi>m</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>z</mi><mo>˙</mo></mover></mrow></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 Der Hamiltonsche kanonische Formalismus page

Identifiers

  • pk
  • L
  • q˙k
  • pr
  • m
  • r˙
  • pϕ
  • m
  • r
  • ϕ˙
  • pz
  • m
  • z˙

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