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Display information for equation id:math.1947.6 on revision:1947
* Page found: Die Hamiltonschen Gleichungen (eq math.1947.6)
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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}}
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MathML (1.288 KB / 333 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"><mi>x</mi><mo stretchy="false">=</mo><mi>r</mi><mi>cos</mi><mo>⁡</mo><mi>ϕ</mi><mo>,</mo><mover><mi>x</mi><mo>˙</mo></mover><mo stretchy="false">=</mo><mover><mi>r</mi><mo>˙</mo></mover><mi>cos</mi><mo>⁡</mo><mi>ϕ</mi><mo stretchy="false">−</mo><mi>r</mi><mover><mi>ϕ</mi><mo>˙</mo></mover><mi>sin</mi><mo>⁡</mo><mi>ϕ</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>y</mi><mo stretchy="false">=</mo><mi>r</mi><mi>sin</mi><mo>⁡</mo><mi>ϕ</mi><mo>,</mo><mover><mi>y</mi><mo>˙</mo></mover><mo stretchy="false">=</mo><mover><mi>r</mi><mo>˙</mo></mover><mi>sin</mi><mo>⁡</mo><mi>ϕ</mi><mo stretchy="false">+</mo><mi>r</mi><mover><mi>ϕ</mi><mo>˙</mo></mover><mi>cos</mi><mo>⁡</mo><mi>ϕ</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>z</mi><mo stretchy="false">=</mo><mi>z</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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