User contributions
- 05:00, 5 July 2016 (diff | hist) . . (+236) . . N 1990 IMO Problems/Problem 6 (Created page with "6. Prove that there exists a convex <math>1990-gon</math> with the following two properties: (a) All angles are equal. (b) The lengths of the <math>1990</math> sides are the n...")
- 04:57, 5 July 2016 (diff | hist) . . (+12) . . 1990 IMO Problems/Problem 5
- 04:57, 5 July 2016 (diff | hist) . . (+881) . . N 1990 IMO Problems/Problem 5 (Created page with "5. Given an initial integer <math>n_{0}\textgreater1</math>, two players, <math>\mathbb{A}</math> and <math>\mathbb{B}</math>, choose integers <math>n_{1}, n_{2},n_{3}</math>,...")
- 04:51, 5 July 2016 (diff | hist) . . (+12) . . 1990 IMO Problems/Problem 4
- 04:50, 5 July 2016 (diff | hist) . . (+218) . . N 1990 IMO Problems/Problem 4 (Created page with "4. Let <math>\mathbb{Q^+}</math> be the set of positive rational numbers. Construct a function <math>f :\mathbb{Q^+}\rightarrow\mathbb{Q^+}</math> such that <math>f(xf(y)) = \...")
- 04:47, 5 July 2016 (diff | hist) . . (+109) . . N 1990 IMO Problems/Problem 3 (Created page with "3. Determine all integers <math>n\textgreater1</math> such that <math>\frac{2^n+1}{n^2}</math> is an integer.")
- 04:45, 5 July 2016 (diff | hist) . . (+499) . . N 1990 IMO Problems/Problem 2 (Created page with "2. Let <math>n\ge3</math> and consider a set <math>E</math> of <math>2n-1</math> distinct points on a circle. Suppose that exactly <math>k</math> of these points are to be col...")
- 04:42, 5 July 2016 (diff | hist) . . (+205) . . 1990 IMO Problems/Problem 1
- 04:39, 5 July 2016 (diff | hist) . . (+303) . . N 1990 IMO Problems/Problem 1 (Created page with "1. Chords AB and CD of a circle intersect at a point E inside the circle. Let M be an interior point of the segment EB. The tangent line at E to the circle through D, E, and M...")