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Display information for equation id:math.1969.15 on revision:1969

* Page found: Der Satz von Liouville (eq math.1969.15)

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\Rightarrow {{V}_{t}}=\int\limits_{{{U}_{{{t}_{0}}}}}^{{}}{{{d}^{2f}}{{x}_{0}}}\det \left( D{{\Phi }_{t,{{t}_{0}}}}({{{\bar{x}}}_{0}}) \right)=\int\limits_{{{U}_{{{t}_{0}}}}}^{{}}{{{d}^{2f}}{{x}_{0}}}\left( 1+O{{(t-{{t}_{0}})}^{2}} \right)\cong {{V}_{t0}}

TeX (checked):

\Rightarrow {{V}_{t}}=\int \limits _{{U}_{{t}_{0}}}^{}{{{d}^{2f}}{{x}_{0}}}\det \left(D{{\Phi }_{t,{{t}_{0}}}}({{\bar {x}}_{0}})\right)=\int \limits _{{U}_{{t}_{0}}}^{}{{{d}^{2f}}{{x}_{0}}}\left(1+O{{(t-{{t}_{0}})}^{2}}\right)\cong {{V}_{t0}}

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Vt=Ut0d2fx0det(DΦt,t0(x¯0))=Ut0d2fx0(1+O(tt0)2)Vt0
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Identifiers

  • Vt
  • Ut0
  • f
  • x0
  • D
  • Φt,t0
  • x¯0
  • Ut0
  • f
  • x0
  • O
  • t
  • t0
  • Vt0

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