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Display information for equation id:math.2033.45 on revision:2033
* Page found: Vektorfelder als dynamische Systeme (eq math.2033.45)
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Hash: 63cf5016e69a2dbc3110eb6e1ee9d84d
TeX (original user input):
\left. \begin{align}
& {{x}_{1}}=\phi \\
& {{x}_{2}}={{p}_{\phi }}=m{{l}^{2}}\dot{\phi } \\
\end{align} \right\}\begin{matrix}
{{{\dot{x}}}_{1}}=\frac{{{x}_{2}}}{m{{l}^{2}}} \\
{{{\dot{x}}}_{2}}=-mgl\sin {{x}_{1}}-2\gamma {{x}_{2}} \\
\end{matrix}
TeX (checked):
\left.{\begin{aligned}&{{x}_{1}}=\phi \\&{{x}_{2}}={{p}_{\phi }}=m{{l}^{2}}{\dot {\phi }}\\\end{aligned}}\right\}{\begin{matrix}{{\dot {x}}_{1}}={\frac {{x}_{2}}{m{{l}^{2}}}}\\{{\dot {x}}_{2}}=-mgl\sin {{x}_{1}}-2\gamma {{x}_{2}}\\\end{matrix}}
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MathML (2.006 KB / 451 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"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><mi>ϕ</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>ϕ</mi></mrow></msub><mo stretchy="false">=</mo><mi>m</mi><msup><mi>l</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mover><mi>ϕ</mi><mo>˙</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable><mo data-mjx-texclass="CLOSE">}</mo></mrow><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><msub><mover><mi>x</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><msup><mi>l</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd><msub><mover><mi>x</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>m</mi><mi>g</mi><mi>l</mi><mi>sin</mi><mo>⁡</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">−</mo><mn>2</mn><mi>γ</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow></mstyle></mrow></math>
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