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Display information for equation id:math.1324.62 on revision:1324
* Page found: Der Hamiltonsche kanonische Formalismus (eq math.1324.62)
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Hash: ed2f60ad68f4b8f19d7f65f165f932d7
TeX (original user input):
\begin{align}
& \ddot{q}=\frac{d}{dt}\frac{\partial H}{\partial q}=\frac{{\dot{p}}}{\acute{\ }m}=-{{\omega }_{o}}^{2}q \\
& \ddot{q}+{{\omega }_{o}}^{2}q=0 \\
\end{align}
TeX (checked):
{\begin{aligned}&{\ddot {q}}={\frac {d}{dt}}{\frac {\partial H}{\partial q}}={\frac {\dot {p}}{{\acute {\ }}m}}=-{{\omega }_{o}}^{2}q\\&{\ddot {q}}+{{\omega }_{o}}^{2}q=0\\\end{aligned}}
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MathML (1.917 KB / 425 B) :
<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="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>¨</mo></mover></mrow></mrow><mo>=</mo><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><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>H</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>q</mi></mrow></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>˙</mo></mover></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mi>m</mi></mrow></mrow></mfrac></mrow><mo>=</mo><mo>−</mo><msup><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>q</mi></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>¨</mo></mover></mrow></mrow><mo>+</mo><msup><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>q</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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