Monday, October 25, 2010
9th Swedish Mathematical Society Problems 1969
1. Find all integers m, n such that m3 = n3 + n. 2. Show that tan π/3n is irrational for all positive integers n. 3. a1 ≥ a2 ≥ ... ≥ an is a sequence of reals. b1, b2, b3, ... bn is any rearrangement of the sequence B1 ≥ B2 ≥ ... ≥ Bn. Show that ∑ aibi ≤ &sum aiBi. 4. Define g(x) as the largest value of |y2 - xy| for
Subscribe to:
Post Comments (Atom)
Popular Posts
-
Boxhead The Zombie Wars Infomation: Fight an army of zombies using awesome new weapons How to play: WADS Keys to move. Space to shoot. Z to ...
-
Check the flag is a fun and simple puzzle game . In this game your task is to make the enemy flag with the army you have...
-
A1. Show that there are arbitrarily large numbers n such that: (1) all its digits are 2 or more; and (2) the product of any four of ...
No comments:
Post a Comment
Note: Only a member of this blog may post a comment.