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Display information for equation id:math.2030.66 on revision:2030
* Page found: Vektorfelder als dynamische Systeme (eq math.2030.66)
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Hash: 8f0b85e06285deec2472243971e174a6
TeX (original user input):
\begin{matrix}
\lim \\
t\to \infty \\
\end{matrix}\delta \bar{x}(t)=\begin{matrix}
\lim \\
t\to \infty \\
\end{matrix}\left( {{c}_{1}}{{{\bar{\xi }}}^{(1)}}{{e}^{-\gamma +\sqrt{{{\omega }^{2}}+{{\gamma }^{2}}}t}}+{{c}_{2}}{{{\bar{\xi }}}^{(2)}}{{e}^{-\gamma -\sqrt{{{\omega }^{2}}+{{\gamma }^{2}}}t}} \right)=\infty
TeX (checked):
{\begin{matrix}\lim \\t\to \infty \\\end{matrix}}\delta {\bar {x}}(t)={\begin{matrix}\lim \\t\to \infty \\\end{matrix}}\left({{c}_{1}}{{\bar {\xi }}^{(1)}}{{e}^{-\gamma +{\sqrt {{{\omega }^{2}}+{{\gamma }^{2}}}}t}}+{{c}_{2}}{{\bar {\xi }}^{(2)}}{{e}^{-\gamma -{\sqrt {{{\omega }^{2}}+{{\gamma }^{2}}}}t}}\right)=\infty
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MathML (2.47 KB / 473 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="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>lim</mi></mtd></mtr><mtr><mtd><mi>t</mi><mo accent="false">→</mo><mi mathvariant="normal">∞</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mi>δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo>=</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>lim</mi></mtd></mtr><mtr><mtd><mi>t</mi><mo accent="false">→</mo><mi mathvariant="normal">∞</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ξ</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi>γ</mi><mo>+</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><msup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>γ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></msqrt></mrow><mi>t</mi></mrow></mrow></msup><mo>+</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ξ</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></mrow></msup><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi>γ</mi><mo>−</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><msup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>γ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></msqrt></mrow><mi>t</mi></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi mathvariant="normal">∞</mi></mstyle></mrow></math>
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