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Name: _________________________ | Period: ___________________ |

This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

## Multiple Choice Questions

**1. What can be formed by taking a finite Cartesian product of the Cantor set with itself, making it a Cantor space?**
**(a)** Cantor dust. **(b)** Fractal. **(c)** Euclidean space. **(d)** Helium in a Box.

**2. For what company had Benoit Mandelbrot been working in economics, studying distribution of various incomes in the economy when he was invited by Houthakker to speak at Harvard?**
**(a)** IBM. **(b)** Iterated Systems Incorporated. **(c)** ProtoLife. **(d)** Xerox.

**3. What is a natural science concerned with the study of life and living organisms, including their structure, function, growth, origin, evolution, distribution, and taxonomy?**
**(a)** Butterfly effect. **(b)** Physics. **(c)** The Navier-Stokes equation. **(d)** Biology.

**4. When was Robert May born?**
**(a)** 1944. **(b)** 1935. **(c)** 1947. **(d)** 1938.

**5. In what year did Edward Lorenz create a weather simulator as described in Chapter 1, "The Butterfly Effect"?**
**(a)** 1960. **(b)** 1966. **(c)** 1948. **(d)** 1951.

## Short Answer Questions

**1.** In mathematics and statistics, a _____ is a quantity that serves to relate functions and variables using a common variable when such a relationship would be difficult to explicate with an equation.

**2.** What is the study of general and fundamental problems, such as those connected with existence, knowledge, values, reason, mind, and language?

**3.** What is a branch of physics which employs mathematical models and abstractions of physics to rationalize, explain and predict natural phenomena?

**4.** What were the subjects allowed to glance at one at a time in the experiment from the 1940s described by Gleick in Chapter 2, "Revolution"?

**5.** James Yorke is credited with creating what term in reference to science?

## Short Essay Questions

**1.** How did Benoit Mandelbrot describe the ideal data source in Chapter 4, "A Geometry of Nature"?

**2.** 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?

**3.** How is Edward Lorenz described in Chapter 1, "The Butterfly Effect"? Where was he working at the time?

**4.** How did Lorenz's work influence James Yorke in Chapter 3, "Life's Ups and Downs"?

**5.** What did Benoit Mandelbrot and Hendrik Houthakker agree on about the chart in Chapter 4, "A Geometry of Nature"?

**6.** Describe the weather simulator discussed in Chapter 1, "The Butterfly Effect." What weather conditions did it create?

**7.** What was the early life of Benoit Mandelbrot like, as described by the author in Chapter 4, "A Geometry of Nature"?

**8.** 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?

**9.** What role do computers and mathematical equations play in ecology and biology as described in Chapter 3, "Life's Ups and Downs"?

**10.** 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?

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