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Display information for equation id:math.1952.17 on revision:1952
* Page found: Legendre- Transformation und Hamiltonfunktion (eq math.1952.17)
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Hash: 69ee705730edf421c87147273d5edeca
TeX (original user input):
\begin{align}
& y\cong L \\
& x\cong \dot{q} \\
& u\cong p=\frac{\partial L}{\partial \dot{q}} \\
& z\cong \dot{q}p-L:=H(q,p,t) \\
\end{align}
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<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><mi>y</mi><mo>≅</mo><mi>L</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>x</mi><mo>≅</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>u</mi><mo>≅</mo><mi>p</mi><mo>=</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><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>z</mi><mo>≅</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow><mi>p</mi><mo>−</mo><mi>L</mi><mi>:</mi><mo>=</mo><mi>H</mi><mo stretchy="false">(</mo><mi>q</mi><mo>,</mo><mi>p</mi><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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