Please send solutions to
Department of Mathematics
University of Toronto
Toronto, ON M5S 3G3
no later than December 31, 2001. Please make sure that your
name, email address and complete mailing address are on the
be a set of
distinct real numbers and
be the set of all sums of distinct pairs of them,
What is the smallest possible number of distinct elements that
Prove that the equation
has exactly two real solutions.
be a real number. Solve the
be nonnegative real numbers.
When does equality hold?
The medians of a triangle
Determine all pairs of nonnull vectors
x, y for which the following sequence
is (a) increasing,
(b) decreasing, where