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* Page found: Stabilität und Langzeitverhalten (eq math.2045.53)

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TeX (original user input): 

\begin{align}
  & \frac{d{{V}_{t}}}{dt}\approx \int_{{{U}_{t}}}^{{}}{{{d}^{2f}}x}{{\left( div\bar{F} \right)}_{\bar{x}*}}=\Lambda {{V}_{t}} \\
 & \Rightarrow V(t)={{e}^{\Lambda t}}{{V}_{0}} \\
\end{align}

TeX (checked): 

{\begin{aligned}&{\frac {d{{V}_{t}}}{dt}}\approx \int _{{U}_{t}}^{}{{{d}^{2f}}x}{{\left(div{\bar {F}}\right)}_{{\bar {x}}*}}=\Lambda {{V}_{t}}\\&\Rightarrow V(t)={{e}^{\Lambda t}}{{V}_{0}}\\\end{aligned}}

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MathML (18.363 KB / 2.401 KB) :

d ⁢ V t d ⁢ t ≈ ∫ U t d 2 ⁢ f ⁢ x ⁢ ( d ⁢ i ⁢ v ⁢ F ¯ ) x ¯ ⁣ * = Λ ⁢ V t ⇒ V ⁢ ( t ) = e Λ ⁢ t ⁢ V 0 missing-subexpression 𝑑 subscript 𝑉 𝑡 𝑑 𝑡 subscript subscript 𝑈 𝑡 superscript 𝑑 2 𝑓 𝑥 subscript 𝑑 𝑖 𝑣 ¯ 𝐹 ¯ 𝑥 Λ subscript 𝑉 𝑡 missing-subexpression ⇒ absent 𝑉 𝑡 superscript 𝑒 Λ 𝑡 subscript 𝑉 0 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle\frac{d{{V}_{t}}}{dt% }\approx\int_{{{U}_{t}}}{{{d}^{2f}}x}{{\left(div\bar{F}\right)}_{\bar{x}*}}=% \Lambda{{V}_{t}}\\ &\displaystyle\Rightarrow V(t)={{e}^{\Lambda t}}{{V}_{0}}\\ \end{aligned}}}

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MathML (2.065 KB / 507 B) :

dVtdt≈∫Utd2fx(divF¯)x¯*=ΛVt⇒V(t)=eΛtV0

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  • Vt
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  • Ut
  • f
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  • F¯
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  • Λ
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  • e
  • Λ
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  • V0

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Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“