|Name: _________________________||Period: ___________________|
This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.
Multiple Choice Questions
1. One of the implications of what theorem is that if a continuous discrete dynamical system on the real line has a periodic point of period 3, then it must have periodic points of every other period?
(a) Stronghorn's theorem.
(b) Stevenson's theorem.
(c) Skawinski's theorem.
(d) Sharkovskii's theorem.
2. What is a description of a system using mathematical concepts and language?
(a) Computer model.
(b) Algorithm model.
(c) Mathematical model.
(d) Fraction model.
3. When was Steven Smale born?
4. Where was Thomas S. Kuhn born?
(a) Cincinnati, Ohio.
(b) Anchorage, Alaska.
(c) Spearfish, South Dakota.
(d) Omaha, Nebraska.
5. What is a natural science that involves the study of matter and its motion through spacetime, along with related concepts such as energy and force?
(a) Fluid dynamics.
Short Answer Questions
1. Who said that calling the study of chaos a nonlinear science was akin to calling zoology "the study of nonelephant animals" in Chapter 3, "Life's Ups and Downs"?
2. Where was Edward Lorenz born?
3. In Chapter 1, "The Butterfly Effect," the author writes, "The Butterfly Effect acquired a technical name: sensitive dependence on _____________"?
4. What is the study of general and fundamental problems, such as those connected with existence, knowledge, values, reason, mind, and language?
5. Who does Gleick quote as saying "It does not say in the Bible that all laws of nature are expressible linearily!" in Chapter 3, "Life's Ups and Downs"?
Short Essay Questions
1. In Chapter 3, "Life's Ups and Downs," one of the biggest questions came to be how different parameters affected the ultimate destiny of a changing population. What was the answer to this?
2. What role do computers and mathematical equations play in ecology and biology as described in Chapter 3, "Life's Ups and Downs"?
3. What were the biggest issues with weather forecasting during Lorenz's time as described in Chapter 1, "The Butterfly Effect"? How is the Butterfly Effect defined?
4. How did the role of chaos theory affect ecologists in the 1970s as described in Chapter 3, "Life's Ups and Downs"?
5. What variable changed the outcome in the experiment described by Thomas S. Kuhn in Chapter 2, "Revolution"?
6. How is James Yorke described in Chapter 3, "Life's Ups and Downs"? What term did he coin?
7. How is a Cantor set described in Chapter 4, "A Geometry of Nature"?
8. Who is quoted discussing nonlinear problems in Chapter 3, "Life's Ups and Downs"?
9. How is Edward Lorenz described in Chapter 1, "The Butterfly Effect"? Where was he working at the time?
10. How is the relationship between meteorologists and computers described in Chapter 1, "The Butterfly Effect"?
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