Does any power of two begin with a seven? If so, does any power of two begin with 77?
Dick Termes and his Spheres
My dad's work is like taking your eyeball out of your head, putting it in a building, and when it spins you can see everything from that one point in space.
The Edge of the Universe
What if you, and all the matter that makes up your measuring instruments, shrink as you approach the edge [of the universe], and shrink in such a way that you could put your ruler end to end infinitely many times and still never reach the edge? After all, what evidence do you have that you do not change size as you move about the world?
The Case of the Murdered Mathematician
The clouds rolled in early and darkened the sky. The campus detective didn't know how dark until he answered the call from the frantic housekeeper who worked in the mathematics department. On the phone, she sounded nearly hysterical. He hurried over to the mathematics building and went to the third floor.
Ranking NFL Teams
Keeping in mind that "statistics are for losers" - and the Denver Broncos were the Superbowl Champions this [1998-1999] season while my Minnesota Vikings lost the chance to play in the Superbowl by losing the NFC Championship game in overtime - I personally think that Denver was the better team that year.
Problem Section
S-55.
Proposed by K. M. Seymour, Toronto, Ontario. Determine the area of a triangle ABC given the side a and the two altitutes h_b and h_c.
S-56.
Proposed by E. M. Kaye, Vancouver, B.C. Prove that for all a_i>=1,
N+a_1 a_2 .a_n>=1 + a_1 + a_2 + . + a_n.
S-57.
Proposed by P. Wagner, Chicago, Illinois. Determine the maximum value of (x^n - x^{n+1})/(1 - x^{2n+1}) where n is a positive integer and x>=0.
S-58.
Proposed by the Problem Editor. Evaluate the definite integral from .1 to 10 of {(ln^{10}(x))/(x(1+x^{10}))}
