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Parallel Homotopy Algorithms to Solve Polynomial Systems Jan Verschelde Department of Math, Stat & CS University of Illinois at Chicago Chicago, IL 60607-7045, USA email: jan@math.uic.edu URL: http://www.math.uic.edu/~jan Interactive

  1. a 4-bar linkage Chebyshev’s straight line mechanism (1875) Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 7 of 39

  2. a 4-bar linkage Chebyshev’s straight line mechanism (1875) Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 7 of 39

  3. a 4-bar linkage Chebyshev’s straight line mechanism (1875) Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 7 of 39

  4. a 4-bar linkage Chebyshev’s straight line mechanism (1875) Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 7 of 39

  5. a 4-bar linkage Chebyshev’s straight line mechanism (1875) Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 7 of 39

  6. a 4-bar linkage Chebyshev’s straight line mechanism (1875) Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 7 of 39

  7. a 4-bar linkage Chebyshev’s straight line mechanism (1875) Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 7 of 39

  8. a 4-bar linkage Chebyshev’s straight line mechanism (1875) Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 7 of 39

  9. a 4-bar linkage Chebyshev’s straight line mechanism (1875) Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 7 of 39

  10. a 4-bar linkage Chebyshev’s straight line mechanism (1875) Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 7 of 39

  11. a 4-bar linkage Chebyshev’s straight line mechanism (1875) Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 7 of 39

  12. a 4-bar linkage Chebyshev’s straight line mechanism (1875) Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 7 of 39

  13. a 4-bar linkage Chebyshev’s straight line mechanism (1875) Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 7 of 39

  14. a 4-bar linkage Chebyshev’s straight line mechanism (1875) Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 7 of 39

  15. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  16. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  17. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  18. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  19. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  20. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  21. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  22. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  23. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  24. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  25. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  26. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  27. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  28. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  29. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  30. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  31. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  32. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  33. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  34. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  35. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  36. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  37. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  38. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  39. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  40. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  41. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  42. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  43. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  44. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  45. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  46. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  47. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  48. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  49. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  50. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  51. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  52. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  53. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  54. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  55. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  56. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  57. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  58. a 4-bar linkage Cognates of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 8 of 39

  59. a 4-bar linkage One Cognate of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 9 of 39

  60. a 4-bar linkage One Cognate of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 9 of 39

  61. a 4-bar linkage One Cognate of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 9 of 39

  62. a 4-bar linkage One Cognate of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 9 of 39

  63. a 4-bar linkage One Cognate of Chebyshev’s mechanism Kenneth J. Waldron and Gary L. Kinzel: Kinematics, Dynamics, and Design of Machinery . Second Edition, John Wiley & Sons, 2003. page 9 of 39

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