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This test consists of 5 short answer questions, 10 short essay questions, and 1 (of 3) essay topics.
Short Answer Questions
1. In what year did Edward Lorenz create a weather simulator as described in Chapter 1, "The Butterfly Effect"?
2. What mathematical theorem states that every simply connected, closed 3-manifold is homeomorphic to the 3-sphere?
3. Where was Thomas S. Kuhn born?
4. What was the name of the computer manufacturing and retail division of Royal Typewriter which made the early computers RPC 4000 and RPC 9000?
5. What is the study of general and fundamental problems, such as those connected with existence, knowledge, values, reason, mind, and language?
Short Essay Questions
1. What did Benoit Mandelbrot and Hendrik Houthakker agree on about the chart in Chapter 4, "A Geometry of Nature"?
2. What did Edward Lorenz develop in order to assist in working with computer technology in Chapter 1, "The Butterfly Effect"? How did he feel about the future of forecasting?
3. How is Edward Lorenz described in Chapter 1, "The Butterfly Effect"? Where was he working at the time?
4. How is the relationship between meteorologists and computers described in Chapter 1, "The Butterfly Effect"?
5. What role do computers and mathematical equations play in ecology and biology as described in Chapter 3, "Life's Ups and Downs"?
6. In Chapter 2, "Revolution" Gleick refers to the pendulum as being the laboratory mouse of chaos, the new science. What metaphorical examples does Gleick give for other great scientists in this chapter?
7. How is James Yorke described in Chapter 3, "Life's Ups and Downs"? What term did he coin?
8. What variable changed the outcome in the experiment described by Thomas S. Kuhn in Chapter 2, "Revolution"?
9. How is a Cantor set described in Chapter 4, "A Geometry of Nature"?
10. Who is quoted discussing nonlinear problems in Chapter 3, "Life's Ups and Downs"?
Write an essay for ONE of the following topics:
Essay Topic 1
Define and discuss fractals, peano curves, Sierpinski carpets and Sierpinski gaskets. When were Sierpinski carpets first discovered?
Essay Topic 2
Discuss the contributions of Jerry Gollub in nonlinear and non-equilibrium phenomena. How are these terms defined and how are experiments conducted?
Essay Topic 3
Describe Hendrik Houthakker, his work at Harvard University, and his reasons for inviting Benoit Mandelbrot to speak. What did Houthakker teach?
This section contains 890 words
(approx. 3 pages at 300 words per page)