18.319, Fall 2005.
Problem Set 2
Instructions: Solve your favourite problems from the list below. Open problems are marked
with ; hard (but feasible) problems are marked with .
1. Let a(P ) denote t
18.319, Fall 2005.
Problem Set 1
Instructions: Solve your favourite problems from the list below. Open problems are marked
with ; hard (but feasible) problems are marked with .
1. Find all planar p o
18.319, Fall 2005.
Problem Set 4
Problems from Matoueks textbook on Discrete Geometry are marked with ; hard (but
s
feasible) problems are marked with .
1. (a) Prove that the maximum length of the Da
18.319, Fall 2005.
Problem Set 3
Instructions: Solve your favourite problems from the list below. Open problems are marked
with ; hard (but feasible) problems are marked with .
1. (Szkely, 1997) For a
18.319, Fall 2005.
Problem Set 6
Open problems are marked with ; hard (but feasible) problems are marked with .
1. (Radon, 1952) Every set of d + 2 points in Rd can be partitioned into two subsets su
18.319, Fall 2005.
Problem Set 5
Open problems are marked with ; hard (but feasible) problems are marked with .
Problems from Matoueks textbook on Discrete Geometry are marked with .
s
1. (Asano et a
BARCELONA, Spain Stephen Curry made six 3-pointers and scored 20 points, leading the U.S. national team into the
quarterfinals of the Basketball World Cup with an 86-63 victory over Mexico on Saturday
SW COMPOUND/REVERSED CURVE
1. A compound curve has the following
data: I1 = 28, I2 = 31, D1 = 3, D2 =
4, and Sta PI = 30+120.5. Find all the
elements of the reversed curve including
2. A compound curv