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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) Fractal.
(b) Viscosity.
(c) Energy.
(d) Turbulence.

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

3. 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) No-slip condition.
(b) Period doubling bifurcation.
(c) Chaos theory.
(d) Momentum diffusion.

4. Where was Heinz-Otto Peitgen born?
(a) Nimbin, Australia.
(b) Nümbrecht, Germany.
(c) Warsaw, Poland.
(d) Johannesburg, South Africa.

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

Short Answer Questions

1. When was Mitchell Feigenbaum offered a post at the Los Alamos National Laboratory in New Mexico to study turbulence in fluids?

2. When did Albert Libchaber join the faculty at The Rockefeller University?

3. 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?

4. 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?

5. What company did Michael Barnsley found in 1987?

Short Essay Questions

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

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

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

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

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

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

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

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

9. How had Albert Libchaber gained fame in his career, according to the author in Chapter 7, "The Experimenter"?

10. What is the definition of a bifurcation diagram?

(see the answer keys)

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