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Display information for equation id:math.1355.36 on revision:1355
* Page found: Dynamische Systeme und deterministisches Chaos (eq math.1355.36)
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Hash: 5b391825dc3a9da3ef1159ef6f553f9f
TeX (original user input):
\det (A-\lambda 1)=0\Rightarrow \left| \left( \begin{matrix}
-\lambda & \frac{1}{m{{l}^{2}}} \\
-mgl & -\lambda \\
\end{matrix} \right) \right|=0={{\lambda }^{2}}-\frac{g}{l}
TeX (checked):
\det(A-\lambda 1)=0\Rightarrow \left|\left({\begin{matrix}-\lambda &{\frac {1}{m{{l}^{2}}}}\\-mgl&-\lambda \\\end{matrix}}\right)\right|=0={{\lambda }^{2}}-{\frac {g}{l}}
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MathML (1.35 KB / 401 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>det</mi><mo>⁡</mo><mo stretchy="false">(</mo><mi>A</mi><mo>−</mo><mi>λ</mi><mn>1</mn><mo stretchy="false">)</mo><mo>=</mo><mn>0</mn><mo>⇒</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mo>−</mo><mi>λ</mi></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>−</mo><mi>m</mi><mi>g</mi><mi>l</mi></mtd><mtd><mo>−</mo><mi>λ</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo>=</mo><mn>0</mn><mo>=</mo><msup><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>g</mi></mrow><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></mfrac></mrow></mstyle></mrow></math>
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