The Butterfly Effect

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“We have not been able to prove or disprove our conjecture, since in order to render the appropriate equations tractable we have been forced to introduce certain statistical assumptions which cannot be rigorously defended.” Lorenz 1969
Clay Mathematics Institute Millenium Million-Dollar Prize Problems • Birch and Swinnerton-Dyer Conjecture • Hodge Conjecture • Navier-Stokes Equations • P vs NP • Poincaré Conjecture • Riemann Hypothesis • Yang-Mills <strong>The</strong>ory
Page 1 and 2: The Butterfly Effect: Myth or Reali
Page 3 and 4: dX dt dY dt dZ dt =− σX + σY =
Page 5 and 6: “The following is the text of a t
Page 7 and 8: “It is proposed that certain form
Page 9 and 10: −5/3 2/3 If Ek ( ) k then τ −
Page 11: Ek ( ) : 3 k − Ek ( ) : 5/3 k −
Page 15 and 16: Navier-Stokes Equations For smooth
Page 17 and 18: Climate Change is the “defining i
Page 19 and 20: Standard Paradigm for a Weather/ Cl
Page 21 and 22: 80-km resolution
Page 23 and 24: The “Real Butterfly Effect” rai

The Butterfly Effect

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