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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. What is defined as a mess of disorder on all scales and is not stable?
(a) Energy.
(b) Turbulence.
(c) Viscosity.
(d) Fractal.

2. What refers to a physical science that studies the effects on material bodies, and on radiation in regions of space, of transfer of heat and of work done on or by the bodies or radiation?
(a) Theoretical physics.
(b) Meteorology.
(c) Neuroscience.
(d) Thermodynamics.

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

4. When was Heinz-Otto Peitgen born?
(a) 1939.
(b) 1942.
(c) 1948.
(d) 1945.

5. What is a lossy compression method for digital images based on fractals?
(a) Cosmic arrhythmias.
(b) Period doubling bifurcation.
(c) Information theory.
(d) Fractal compression.

Short Answer Questions

1. What refers to the spread of momentum between particles of matter, usually in the liquid state?

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. According to the author, "to play the chaos game quickly, you need a computer with a graphics screen and a random number generator, but in principle a sheet of paper and" what will work as well?

4. What is a measure of some property of a piece of software or its specifications?

5. What will drain rapidly from large-scale motions to small-scale motions?

Short Essay Questions

1. What is the Taylor vortex flow and when does it emerge?

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

3. How are Feigenbaum constants defined?

4. What did Mitchell Feigenbaum determine needed to happen in Chapter 6, "Universality"? Where was he working?

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

6. How does the author describe the evolution of chaos in Chapter 8, "Images of Chaos"?

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

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

9. How did Barnsley's approach differ from that of Richter and Peitgen in Chapter 8, "Images of Chaos"?

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

(see the answer keys)

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