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

Multiple Choice Questions

1. Where was Mitchell Feigenbaum born?
(a) New York, New York.
(b) Biloxi, Mississippi.
(c) Frankfort, Kentucky.
(d) Hartford, Connecticut.

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

3. What is the atomic number of helium?
(a) 7.
(b) 21.
(c) 14.
(d) 2.

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

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

6. What is a sub-discipline of fluid mechanics that deals with the natural science of fluids (liquids and gases) in motion?
(a) Fractal basin boundaries.
(b) Theoretical physics.
(c) Poincare conjecture.
(d) Fluid dynamics.

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

8. Where was Gustav Mahler born?
(a) Austria.
(b) Canada.
(c) Italy.
(d) France.

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

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

11. In fluid dynamics, what consists of a viscous fluid confined in the gap between two rotating cylinders?
(a) The Taylor-Couette flow.
(b) Turbulent flow.
(c) Bifurcation cascade.
(d) Laminar flow.

12. Where is the Scripps Research Institute headquartered?
(a) La Jolla, California.
(b) Portland, Oregon.
(c) San Francisco, California.
(d) Tacoma, Washington.

13. What book did Michael Barnsley publish in 1988?
(a) Deterministic Nonperiodic Flow.
(b) Physical Review Letters.
(c) The Structure of Scientific Revolutions.
(d) Fractals Everywhere.

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

15. What is a measure of some property of a piece of software or its specifications?
(a) Software metric.
(b) Cosmic arrhythmias.
(c) Software visualization.
(d) Fractal compression.

Short Answer Questions

1. What is defined as a mess of disorder on all scales and is not stable?

2. What occurs at higher velocities where eddies or small packets of fluid particles form leading to lateral mixing?

3. 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?

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 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?

(see the answer keys)

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