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Display information for equation id:math.2036.46 on revision:2036
* Page found: Stabilität und Langzeitverhalten (eq math.2036.46)
(force rerendering)Occurrences on the following pages:
Hash: ee5ccffdc2c06e4f48b1c07f0100b1cd
TeX (original user input):
\left( \begin{matrix}
\delta {{{\dot{\omega }}}_{1}} \\
\delta {{{\dot{\omega }}}_{2}} \\
\delta {{{\dot{\omega }}}_{3}} \\
\end{matrix} \right)=A\left( \begin{matrix}
\delta {{\omega }_{1}} \\
\delta {{\omega }_{2}} \\
\delta {{\omega }_{3}} \\
\end{matrix} \right)=\left( \begin{matrix}
0 & -{{k}_{1}}{{\omega }_{3}} & -{{k}_{1}}{{\omega }_{2}} \\
{{k}_{2}}{{\omega }_{3}} & 0 & {{k}_{2}}{{\omega }_{1}} \\
-{{k}_{3}}{{\omega }_{2}} & -{{k}_{3}}{{\omega }_{1}} & 0 \\
\end{matrix} \right)\left( \begin{matrix}
\delta {{\omega }_{1}} \\
\delta {{\omega }_{2}} \\
\delta {{\omega }_{3}} \\
\end{matrix} \right)
TeX (checked):
\left({\begin{matrix}\delta {{\dot {\omega }}_{1}}\\\delta {{\dot {\omega }}_{2}}\\\delta {{\dot {\omega }}_{3}}\\\end{matrix}}\right)=A\left({\begin{matrix}\delta {{\omega }_{1}}\\\delta {{\omega }_{2}}\\\delta {{\omega }_{3}}\\\end{matrix}}\right)=\left({\begin{matrix}0&-{{k}_{1}}{{\omega }_{3}}&-{{k}_{1}}{{\omega }_{2}}\\{{k}_{2}}{{\omega }_{3}}&0&{{k}_{2}}{{\omega }_{1}}\\-{{k}_{3}}{{\omega }_{2}}&-{{k}_{3}}{{\omega }_{1}}&0\\\end{matrix}}\right)\left({\begin{matrix}\delta {{\omega }_{1}}\\\delta {{\omega }_{2}}\\\delta {{\omega }_{3}}\\\end{matrix}}\right)
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MathML (3.466 KB / 406 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="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>δ</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ω</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>δ</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ω</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>δ</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ω</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>A</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>δ</mi><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>δ</mi><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>δ</mi><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mn>0</mn></mtd><mtd><mo>−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd><mtd><mo>−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd><mtd><mn>0</mn></mtd><mtd><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd><mo>−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd><mtd><mo>−</mo><msub><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>δ</mi><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>δ</mi><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd><mi>δ</mi><msub><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
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