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Display information for equation id:math.1948.35 on revision:1948
* Page found: Die Hamiltonschen Gleichungen (eq math.1948.35)
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Hash: 257f3b4582207098ae6c42897100bb83
TeX (original user input):
\begin{align}
& {{{\dot{p}}}_{{}}}=-\frac{\partial H}{\partial q}=-m{{\omega }_{o}}^{2}q \\
& \dot{q}=\frac{\partial H}{\partial p}=\frac{p}{m} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\dot {p}}_{}}=-{\frac {\partial H}{\partial q}}=-m{{\omega }_{o}}^{2}q\\&{\dot {q}}={\frac {\partial H}{\partial p}}={\frac {p}{m}}\\\end{aligned}}
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MathML (1.512 KB / 359 B) :
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mover><mi>p</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"></mrow></msub><mo stretchy="false">=</mo><mo stretchy="false">−</mo><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 stretchy="false">=</mo><mo stretchy="false">−</mo><mi>m</mi><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 class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mover><mi>q</mi><mo>˙</mo></mover><mo stretchy="false">=</mo><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>p</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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