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

Multiple Choice Questions

1. In what year did Mitchell Feigenbaum complete his doctorate with a thesis on dispersion relations?
(a) 1965.
(b) 1960.
(c) 1970.
(d) 1955.

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

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

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

5. What mathematical term refers to the Euclidean plane and three-dimensional space of Euclidean geometry, as well as the generalizations of these notions to higher dimensions?
(a) Gradient.
(b) Cantor dust.
(c) Euclidean space.
(d) Boundary layer.

6. What refers to the static or animated 2-D or 3-D visual representation of information about software systems based on their structure, size, history or behavior?
(a) Software metric.
(b) Software visualization.
(c) Cosmic arrhythmias.
(d) Fractal compression.

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

8. What is the most abundant element in the universe?
(a) Aluminum.
(b) Rhodium.
(c) Oxygen.
(d) Hydrogen.

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

10. What is a concept in mathematics where a fixed rule describes the time dependence of a point in a geometrical space?
(a) Pattern formation.
(b) Boundary layer.
(c) Oscillation.
(d) Dynamical system.

11. What refers to systems whose behavior is intrinsically non-deterministic?
(a) Oscillation.
(b) Incongruity.
(c) Stochastic.
(d) Fractal.

12. What refers to a rough or fragmented geometric shape that can be split into parts, each of which is a reduced-size copy of the whole?
(a) Revolutions.
(b) Gradient.
(c) Fractal.
(d) Oscillation.

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

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

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

Short Answer 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?

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

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

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

(see the answer keys)

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