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Showing Revision 1 created 11/30/2016 by Zhengqun Koo.

  1. So before we sign off,
  2. a few items of business.
  3. First, course evaluations.
  4. There's a course evaluation form
  5. online, there's a link on the site I think
  6. right below this video,
  7. and we'll also send a link to the forum
  8. out by email.
  9. So, your feedback is very helpful for us,
  10. it will help me improve future versions of
  11. this course, it will help improve other
  12. complexity explorer courses, and the
  13. website in general.
  14. So, thanks in advance for taking the time
  15. to fill that out, and your honest and
  16. constructive feedback. Next, I'd like to
  17. acknowledge the funders for the course,
  18. so the main funding for the Complexity
  19. Explorer project is from a grant
  20. from the John Templeton Foundation
  21. to the Santa Fe Institute,
  22. I'm very grateful to them for their support.
  23. and also, we received funding from
  24. individual donations from Complexity
  25. Explorer users, and so, thank you
  26. to everyone who has made a donation.
  27. Also, thanks to all the students
  28. who participated in this course,
  29. who took the time to watch these videos,
  30. and especially those who contributed
  31. ideas and questions in the forum,
  32. one of the most exciting, interesting
  33. parts for me when I do a course like this,
  34. is the ability to interact from people
  35. from all over the world, and see
  36. not just me interacting with you,
  37. but students interacting among themselves.
  38. So, thank you.
  39. So, this brings us to the end of the course.
  40. Fractals and scaling is a powerful idea,
  41. a powerful set of mathematical tools,
  42. that describe a certain type of regularity,
  43. pattern, maybe even simplicity,
  44. across scales, and across a really diverse
  45. set of phenomena. So, physical fractals,
  46. ferns and mountains and clouds,
  47. and coastlines, statistical distributions,
  48. word frequency, earthquake frequency
  49. and the like, and then most recently
  50. in metabolic scaling and urban scaling.
  51. So there are these certain mathematical
  52. patterns and structures, that to
  53. varying degrees, appear across all of
  54. these interdisciplinary systems.
  55. So, I think these are powerful and useful
  56. ideas for the study of complex systems,
  57. or really, whatever you're interested in,
  58. it's a very useful set of ideas and tools
  59. to have in your toolbox.
  60. I enjoy teaching about these ideas,
  61. and thinking about them, they make me
  62. see phenomena in different ways,
  63. and I hope that's been the case
  64. for you as well.
  65. So, thanks again, take care,
  66. and we'll see you around.