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Display information for equation id:math.1948.20 on revision:1948
* Page found: Die Hamiltonschen Gleichungen (eq math.1948.20)
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Hash: 07ab092ce843f288f60dc99171e8aaf1
TeX (original user input):
\begin{align}
& {{p}_{k}}:=\frac{\partial L}{\partial {{{\dot{q}}}_{k}}}\Rightarrow {{p}_{k}}={{p}_{k}}(\bar{q},\dot{\bar{q}},t) \\
& Umkehrung:{{{\dot{q}}}_{k}}={{{\dot{q}}}_{k}}(\bar{q},\bar{p},t) \\
\end{align}
TeX (checked):
{\begin{aligned}&{{p}_{k}}:={\frac {\partial L}{\partial {{\dot {q}}_{k}}}}\Rightarrow {{p}_{k}}={{p}_{k}}({\bar {q}},{\dot {\bar {q}}},t)\\&Umkehrung:{{\dot {q}}_{k}}={{\dot {q}}_{k}}({\bar {q}},{\bar {p}},t)\\\end{aligned}}
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MathML (1.731 KB / 390 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><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">:=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>L</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mover><mi>q</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo stretchy="false">⇒</mo><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><mover><mi>q</mi><mo>¯</mo></mover><mo>,</mo><mover><mover><mi>q</mi><mo>¯</mo></mover><mo>˙</mo></mover><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>U</mi><mi>m</mi><mi>k</mi><mi>e</mi><mi>h</mi><mi>r</mi><mi>u</mi><mi>n</mi><mi>g</mi><mo stretchy="false">:</mo><msub><mover><mi>q</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">=</mo><msub><mover><mi>q</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo stretchy="false">(</mo><mover><mi>q</mi><mo>¯</mo></mover><mo>,</mo><mover><mi>p</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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