Monday, October 25, 2010
6th Swedish Mathematical Society Problems 1966
1. Let {x} denote the fractional part of x = x - [x]. The sequences x1, x2, x3, ... and y1, y2, y3, ... are such that lim {xn} = lim {yn} = 0. Is it true that lim {xn + yn} = 0? lim {xn - yn} = 0? 2. a1 + a2 + ... + an = 0, for some k we have aj ≤ 0 for j ≤ k and aj ≥ 0 for j > k. If ai are not all 0, show that a1 + 2a2 + 3a3 + ..
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 ...
-
Avatar Fortress Fight 2 Infomation: Launch fireballs and more at the other village. Try to take down their dojo by launching weapons. How to...
-
1. p(x) is a quadratic polynomial with non-negative coefficients. Show that p(xy)2 ≤ p(x2)p(y2). 2. A convex polygo...
No comments:
Post a Comment
Note: Only a member of this blog may post a comment.