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This quiz consists of 5 multiple choice and 5 short answer questions through Chapters 5-6.

Multiple Choice Questions

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

2. What is a description of a system using mathematical concepts and language?
(a) Algorithm model.
(b) Computer model.
(c) Fraction model.
(d) Mathematical model.

3. What mathematical theorem states that every simply connected, closed 3-manifold is homeomorphic to the 3-sphere?
(a) Information theory.
(b) Fractal compression.
(c) Poincare conjecture.
(d) No-slip condition.

4. In what year did Benoit Mandelbrot recognize the ghost of an idea when he spotted a diagram charted out on the blackboard in Hendrik Houthakker's office?
(a) 1957.
(b) 1960.
(c) 1954.
(d) 1950.

5. What work by Edward Lorenz greatly impacted the thinking of James Yorke, as described in Chapter 3, "Life's Ups and Downs"?
(a) "Fractals Everywhere".
(b) "Physical Review Letters".
(c) "Deterministic Nonperiodic Flow".
(d) "Period Three Implies Chaos".

Short Answer Questions

1. Where was Hendrik Houthakker born?

2. For what company had Benoit Mandelbrot been working in economics, studying distribution of various incomes in the economy when he was invited by Houthakker to speak at Harvard?

3. What can be formed by taking a finite Cartesian product of the Cantor set with itself, making it a Cantor space?

4. Where was Thomas S. Kuhn born?

5. Where was Edward Lorenz born?

(see the answer key)

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