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Analytical Mechanics
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"Dynamic Geometries V4"

 
 
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Rigidity in Dynamics and Geometry by Marc Burger and Alessandra Iozzi (Hardcover - Jun 20, 2002)
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Excerpt - page 155: "... weak limits, as s ',, l16, of the probability measures v4 := IIdI (s) 1:(-qd(7.) Dirac(7) -YE I' on F = ..."
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2. 
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Foliations: Geometry and Dynamics by pawel Walczak, Lawrence Conlon, and Remi Langevin (Hardcover - Mar 1, 2002)
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Excerpt - page 9: "... a) the class defined by ul(Vb,17)vJ(Vb)• Particularly when vJ = v4, then we set Bottq(F) = u1(Vb,o-)vl(Vb)q and call it the ..."
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Symplectic Invariants and Hamiltonian Dynamics (Birkhäuser Advanced Texts / Basler Lehrbücher) by Helmut Hofer and Eduard Zehnder (Hardcover - Feb 4, 2004)
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Excerpt - page 96: "... critical value. We deduce a point x* E E satisfying V4)(x*) = 0 and ob(x*) = c((D,.E) > ß > 0, ..."
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4. 
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Graph Dynamics (Pitman Research Notes in Mathematics Series) by Erich Prisner (Hardcover - Nov 22, 1995)
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Excerpt - page 129: "... Whether periods greater than 2 are possible for V4 is unknown. The homological parameters Qi and d2 again behave ..."
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Dynamics of Foliations, Groups and Pseudogroups (Monografie Matematyczne) by Pawel Walczak (Hardcover - Jun 24, 2004)
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Excerpt - page 121: "... Next, take any t > 0 and v E V4,e. If 0 < t < t(6), then t J e ..."
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6. 
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Automated Deduction in Geometry: 6th International Workshop, ADG 2006, Pontevedra, Spain, August 31-September 2, 2006, Revised Papers (Lecture Notes in ... / Lecture Notes in Artificial Intelligence) by Francisco Botana and Tomas Recio (Paperback - Feb 6, 2008)
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Excerpt - page 50: "... html 10. Jackiw, N.: The Geometer's Sketchpad v4.0. In: Emeryville: Key Curriculum Press (2001) 11. Janicié, P.: GCLC ..."
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7. 
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Dynamics and Mission Design Near Libration Points, Vol. IV: Advanced Methods for Triangular Points by Angel Jorba, Carles Simo, Josep Masdemont, and Gerard Gomez (Hardcover - Feb 12, 2001)
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Excerpt - page 159: "... 280407706561D+00+0.959882512228D+00~ v4 = 0.280407706561D+00-0.959882512228D+00v"--l v5 = -0.272022258649D-01+0.000000000000D+00~ v6 = 0.341075278953D-03+0.000000000000D+00-\/----l Table 5.10 ..."
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8. 
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Dynamics on Lorentz Manifolds by Scot Adams (Hardcover - Feb 15, 2002)
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Excerpt - page 37: "... 0 + jç' E 4'. Then kEJ. Letm:=min J. As o+0'V4',we get m>1. Letz/5:=0'+mç5. Then 0,'0 E 4', while V) - ..."
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9. 
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IUTAM Symposium on Geometry and Statistics of Turbulence - Held at the Shonan International Village Center, Hayama (Kanagawa-ken), Japan, November 1--5, 1999 by T. Kambe, T. Nakano, and T. Miyauchi (Hardcover - Jan 31, 2001)
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Excerpt - page 92: "... cor- relation between neighbor- ing cells is calculated kla-2 2^I/2 2^v4 • 1.0e-03 1 10^1 10^2 10^3 10^4 10^s I0 6 ..."
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10. 
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Geometrical Theory of Dynamical Systems and Fluid Flows (Advanced Series in Nonlinear Dynamics) by Tsutomu Kambe (Hardcover - Nov 2004)
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Excerpt - page 223: "... next. 20Sijpposc that the velocity is represented as u = V4 + u' with div u' = 0 and div u ..."
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Chaotic and Fractal Dynamics: An Introduction for Applied Scientists and Engineers by Francis C. Moon (Hardcover - Sep 21, 1992)
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Differentiable and Complex Dynamics of Several Variables (Mathematics and Its Applications) by Pei-Chu Hu and Chung-Chun Yang (Hardcover - Jul 31, 1999)
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Excerpt - page 59: "... x E K, there exists a positive number p = p(V4) (x, n, E) such that n-1 I n ~Qio fk ..."
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13. 
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Heights of Polynomials and Entropy in Algebraic Dynamics (Universitext) by Graham Everest and Thomas Ward (Hardcover - Mar 19, 1999)
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Excerpt - page 99: "... Given any four points with homogeneous coordinates V1, V2, V3, V4, the matrix M = [avi lbv2 lcv3] will, for any ..."
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14. 
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Geometric and Probabilistic Structures in Dynamics (Contemporary Mathematics) by Keith Burns, Dmitry Dolgopyat, and Yakov Pesin, and Yakov Pesin (Paperback - Oct 2, 2008)
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Excerpt - page 83: "... )112 1 Vrt/2-to-J/2r ifa• = Q 2T [t9L/2) and 1 v4 2k 1 (~) (2~ k!F(v+k+l). k=O (c) The measure p ..."
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15. 
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Integrable Hamiltonian Systems: Geometry, Topology, Classification by A. V. Bolsinov and A.T. Fomenko (Hardcover - Feb 25, 2004)
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Excerpt - page 332: "... MOLECULE V4~~ / 0 0 A* B A* B 1/ 0 1/2 ..."
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16. 
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Tensor Calculus and Analytical Dynamics (Engineering Mathematics) by John G. Papastavridis (Hardcover - Dec 18, 1998)
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Excerpt - page 253: "... 0)v4' + (cos 4))v° + (sin 4) sin 0)vw, wy = ..."
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