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This test consists of 15 multiple choice questions and 5 short answer questions.

Multiple Choice Questions

1. How old was Mitchell Feigenbaum when he was offered a post at the Los Alamos National Laboratory?
(a) 22.
(b) 27.
(c) 29.
(d) 35.

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. When was Michael Barnsley's book SuperFractals published?
(a) 2001.
(b) 1998.
(c) 1995.
(d) 2006.

4. Albert Libchaber made the first experimental observation of the _____ that leads to chaos and turbulence in convective Rayleigh-Benard systems.
(a) No-slip condition.
(b) Fractal basin boundaries.
(c) Bifurcation cascade.
(d) Poincare conjecture.

5. What is a measure of the resistance of a fluid which is being deformed by either shear stress or tensile stress?
(a) Gradient.
(b) Cosmic arrhythmias.
(c) Physiology.
(d) Viscosity.

6. When was Mitchell Feigenbaum born?
(a) 1949.
(b) 1959.
(c) 1944.
(d) 1947.

7. 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?
(a) Cantor dust.
(b) Boundary layer.
(c) Gradient.
(d) Euclidean space.

8. In control theory, a system is _____ if any of the roots of its characteristic equation has real part greater than zero.
(a) Unstable.
(b) Changing.
(c) Stable.
(d) Unchanging.

9. Who began to call the global construction of fractals "the chaos game" according to the author in Chapter 8, "Images of Chaos"?
(a) Michael Barnsley.
(b) Albert Libchaber.
(c) Leo Kadanoff.
(d) Conrad Aiken.

10. What refers to the spread of momentum between particles of matter, usually in the liquid state?
(a) Chaos theory.
(b) Theoretical physics.
(c) Momentum diffusion.
(d) Turbulent flow.

11. 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) Harry L. Swinney.
(c) Mitchell Feigenbaum.
(d) Johann Wolfgang von Goethe.

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

13. Through this work on the study of quantum behavior of superfluid helium, Albert Libchaber invented what?
(a) Euclidean space.
(b) Fractal compression.
(c) Helium in a Box.
(d) Thermodynamics.

14. 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?
(a) Gradient.
(b) Euclidean space.
(c) Cantor dust.
(d) Boundary layer.

15. In mathematics, what refers to a map that exhibits some sort of chaotic behavior?
(a) Space-time maps.
(b) Chaotic maps.
(c) Stability maps.
(d) Behavioral maps.

Short Answer Questions

1. Where is Michael Barnsley from?

2. 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?

3. Albert Libchaber graduated with a bachelor degree in mathematics from what institution?

4. According to Gleick, Albert Libchaber had a similar background to who, living as a refugee during World War II?

5. What refers to systems whose behavior is intrinsically non-deterministic?

(see the answer keys)

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