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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. In fluid dynamics, what condition for viscous fluids states that at a solid boundary, the fluid will have zero velocity relative to the boundary?
(a) Momentum diffusion.
(b) Chaos theory.
(c) No-slip condition.
(d) Period doubling bifurcation.

2. What exists when a reversible reaction ceases to change its ratio of reactants/products, but substances move between the chemicals at an equal rate, meaning there is no net change?
(a) Cantor dust.
(b) Euclidean space.
(c) Energy.
(d) Dynamic equilibrium.

3. From what institution did Harry L. Swinney earn his Ph.D.?
(a) Caltech.
(b) Johns Hopkins University.
(c) The University of Bonn.
(d) The University of Illinois.

4. 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?
(a) Fractal compression.
(b) Fractal basin boundaries.
(c) Limit-cycle.
(d) Period doubling bifurcation.

5. In what year was Mitchell Feigenbaum awarded the Wolf Prize in Physics?
(a) 1986.
(b) 1977.
(c) 1980.
(d) 1983.

Short Answer Questions

1. 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?

2. What is the most abundant element in the universe?

3. What occurs when a fluid flows in parallel layers, with no disruption between the layers?

4. What is a sub-discipline of fluid mechanics that deals with the natural science of fluids (liquids and gases) in motion?

5. From what institution did Heinz-Otto Peitgen earn his Ph.D.?

Short Essay Questions

1. What problems did turbulence cause for physicists and scientists, according to the author in Chapter 5, "Strange Attractors"?

2. Describe the career of Heinz-Otto Peitgen. Where is Peitgen from?

3. How does the author differentiate between theorists and experimentalists in Chapter 5, "Strange Attractors"?

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

5. How is the Taylor-Couette flow defined?

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

7. Whose results did Albert Libchaber inadvertently recreate in Chapter 7, "The Experimenter"?

8. Describe the Mandelbrot set. To what it is closely related?

9. How is turbulence defined in Chapter 5, "Strange Attractors"?

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

(see the answer keys)

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