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Display information for equation id:math.2033.46 on revision:2033
* Page found: Vektorfelder als dynamische Systeme (eq math.2033.46)
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Hash: 53153d65da9b85c15b4e379e0aa41d04
TeX (original user input):
\begin{align}
& \left( \begin{matrix}
\delta {{{\dot{x}}}_{1}} \\
\delta {{{\dot{x}}}_{2}} \\
\end{matrix} \right)={{\left( \begin{matrix}
0 & \frac{1}{m{{l}^{2}}} \\
-mgl\cos {{x}_{1}} & -2\gamma \\
\end{matrix} \right)}_{*}}\left( \begin{matrix}
\delta {{x}_{1}} \\
\delta {{x}_{2}} \\
\end{matrix} \right) \\
& {{\left( \begin{matrix}
0 & \frac{1}{m{{l}^{2}}} \\
-mgl\cos {{x}_{1}} & 0 \\
\end{matrix} \right)}_{*}}:=A \\
\end{align}
TeX (checked):
{\begin{aligned}&\left({\begin{matrix}\delta {{\dot {x}}_{1}}\\\delta {{\dot {x}}_{2}}\\\end{matrix}}\right)={{\left({\begin{matrix}0&{\frac {1}{m{{l}^{2}}}}\\-mgl\cos {{x}_{1}}&-2\gamma \\\end{matrix}}\right)}_{*}}\left({\begin{matrix}\delta {{x}_{1}}\\\delta {{x}_{2}}\\\end{matrix}}\right)\\&{{\left({\begin{matrix}0&{\frac {1}{m{{l}^{2}}}}\\-mgl\cos {{x}_{1}}&0\\\end{matrix}}\right)}_{*}}:=A\\\end{aligned}}
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<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"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><mi>δ</mi><msub><mover><mi>x</mi><mo>˙</mo></mover><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>δ</mi><msub><mover><mi>x</mi><mo>˙</mo></mover><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><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></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><mo stretchy="false">−</mo><mi>m</mi><mi>g</mi><mi>l</mi><mi>cos</mi><mo>⁡</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd><mtd><mo stretchy="false">−</mo><mn>2</mn><mi>γ</mi></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><mi>δ</mi><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>δ</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><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><mn>0</mn></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></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><mo stretchy="false">−</mo><mi>m</mi><mi>g</mi><mi>l</mi><mi>cos</mi><mo>⁡</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd><mtd><mn>0</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">∗</mo></mrow></msub><mo stretchy="false">:=</mo><mi>A</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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