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

Multiple Choice Questions

1. Where did Mitchell Feigenbaum attend for graduate study in electrical engineering but changed his area to physics?
(a) Harvard University.
(b) The University of Illinois.
(c) Princeton University.
(d) The Massachusetts Institute of Technology.

2. Albert Libchaber's results in his work with helium paralleled what equation that relates the pressure, viscosity, velocity, density of a fluid?
(a) The Navier-Stokes equation.
(b) Chaos theory.
(c) Bifurcation theory.
(d) Cosmic arrhythmias.

3. Where did Michael Barnsley earn his Ph.D.?
(a) Johns Hopkins University.
(b) The University of Wisconsin-Madison.
(c) The Massachusetts Institute of Technology.
(d) The University of Paris.

4. Gleick compares the Mandlebrot Set to what set in Chapter 8, "Images of Chaos"?
(a) The Valerie Set.
(b) The Martha Set.
(c) The Karen Set.
(d) The Julia Set.

5. Who is attributed with the following quote in Chapter 5, "Strange Attractors": "Big whorls have little whorls which feed on their velocity, and little whorls have lesser whorls and so on to viscosity"?
(a) Lewis F. Richardson.
(b) Johann Wolfgang von Goethe.
(c) Mitchell Feigenbaum.
(d) Harry L. Swinney.

Short Answer Questions

1. What refers to a closed trajectory in phase space having the property that at least one other trajectory spirals into it either as time approaches infinity or as time approaches negative infinity?

2. In vector calculus, what refers to a vector field that points in the direction of the greatest rate of increase of the scalar field, and whose magnitude is the greatest rate of change?

3. What occurs at higher velocities where eddies or small packets of fluid particles form leading to lateral mixing?

4. In physics and fluid mechanics, what refers to the layer of fluid in the immediate vicinity of a bounding surface where effects of viscosity of the fluid are considered in detail?

5. What is a concept in mathematics where a fixed rule describes the time dependence of a point in a geometrical space?

Short Essay Questions

1. How are the Navier-Stokes equations defined? For whom are they named?

2. How were fractal basin boundaries used in Chapter 8, "Images of Chaos"? What scientists studied the transitions?

3. Where did Mitchell Feigenbaum meet Michael Barnsley in Chapter 8, "Images of Chaos"? What did their discussions lead to?

4. How is the Taylor-Couette flow defined?

5. What is the definition of a bifurcation diagram?

6. What interests in art and culture are described of Mitchell Feigenbaum in Chapter 6, "Universality"?

7. Who is Michael Barnsley? How is his early career described in Chapter 8, "Images of Chaos"?

8. What was Harry Swinney known for in Chapter 5, "Strange Attractors"? Where did his interests lie?

9. How is Mitchell Feigenbaum described? What was his early life like, according to the author?

10. Describe the Julia set. How is it related to the Fatou set?

(see the answer keys)

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