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Display information for equation id:math.1948.23 on revision:1948
* Page found: Die Hamiltonschen Gleichungen (eq math.1948.23)
(force rerendering)Occurrences on the following pages:
Hash: c62535083b586dbc8078a457236eecfe
TeX (original user input):
\begin{align}
& x=r\cos \phi ,\dot{x}=\dot{r}\cos \phi -r\dot{\phi }\sin \phi \\
& y=r\sin \phi ,\dot{y}=\dot{r}\sin \phi +r\dot{\phi }\cos \phi \\
& z=z \\
\end{align}
TeX (checked):
{\begin{aligned}&x=r\cos \phi ,{\dot {x}}={\dot {r}}\cos \phi -r{\dot {\phi }}\sin \phi \\&y=r\sin \phi ,{\dot {y}}={\dot {r}}\sin \phi +r{\dot {\phi }}\cos \phi \\&z=z\\\end{aligned}}
LaTeXML (experimentell; verwendet MathML) rendering
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MathML (experimentell; keine Bilder) rendering
MathML (1.611 KB / 351 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><mi>x</mi><mo>=</mo><mi>r</mi><mi>cos</mi><mo>⁡</mo><mi>ϕ</mi><mo>,</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>˙</mo></mover></mrow></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>˙</mo></mover></mrow></mrow><mi>cos</mi><mo>⁡</mo><mi>ϕ</mi><mo>−</mo><mi>r</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ϕ</mi><mo>˙</mo></mover></mrow></mrow><mi>sin</mi><mo>⁡</mo><mi>ϕ</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>y</mi><mo>=</mo><mi>r</mi><mi>sin</mi><mo>⁡</mo><mi>ϕ</mi><mo>,</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>y</mi><mo>˙</mo></mover></mrow></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>˙</mo></mover></mrow></mrow><mi>sin</mi><mo>⁡</mo><mi>ϕ</mi><mo>+</mo><mi>r</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ϕ</mi><mo>˙</mo></mover></mrow></mrow><mi>cos</mi><mo>⁡</mo><mi>ϕ</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>z</mi><mo>=</mo><mi>z</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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