Dr. Sarah’s 4710 Problem Set 2 – DUE Tues September 16

Problem 1: Patty p. 9 number 11

Problem 2 (Grad): Patty p. 9 number 18

The taxi-cab metric on R^n measures the distance that a taxi would have to travel between points if the city is laid out on a grid-like structure. It has other real-life applications also – it is useful in ecology for measuring the distance between species.

Problem 3: Patty p. 8 number 2

Problem 4: Prove that SAS does not hold in R^2 with the taxicab metric. Hint: Use the picture below from Sibley’s The Geometric Viewpoint to help you.

Problem 5: Patty p. 14 number 2 (part a everyone, part b Grad)

Problem 6: Patty p. 15 number 10

Problem 7: Patty p. 15 number 11