User contributions

Search for contributions
 
 
      
 
   

  • 11:03, 14 July 2011 (diff | hist) . . (+730). . N 2008 IMO Problems/Problem 1(Created page with "== Problem 1 == An acute-angled triangle <math>ABC</math> has orthocentre <math>H</math>. The circle passing through <math>H</math> with centre the midpoint of <math>BC</math> in...")
  • 10:57, 14 July 2011 (diff | hist) . . (+1). . 2010 IMO
  • 10:56, 14 July 2011 (diff | hist) . . (+495). . N 2009 IMO(Created page with "'''2009 IMO''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. *[[2009 IMO Problems...")
  • 15:46, 24 November 2010 (diff | hist) . . (+2,415). . N 1974 IMO Problems/Problem 1(Created page with '==Problem== Three players <math>A, B</math> and <math>C</math> play the following game: On each of three cards an integer is written. These three numbers <math>p, q, r</math> sa…') (current)
  • 11:51, 24 November 2010 (diff | hist) . . (+3,187). . N 2010 IMO Problems(Created page with 'Problems of the 51st IMO 2010 in Astana, Kazakhstan. == Day I == === Problem 1. === Find all functions <math>f:\mathbb{R}\rightarrow\mathbb{R}</math> such that for all <…')
  • 11:37, 24 November 2010 (diff | hist) . . (+2,245). . N 1975 IMO Problems(Created page with 'Problems of the 17th IMO 1975 in Bulgaria. ==Problem 1== Let <math>x_i, y_i~(i = 1, 2, \ldots, n)</math> be real numbers such that <cmath>x_1 \geq x_2 \geq \cdots \geq x_n…')
  • 11:07, 24 November 2010 (diff | hist) . . (+2,561). . N 1974 IMO Problems(Created page with 'Problems of the 16th IMO 1974 in East Germany. ==Problem 1== Three players <math>A, B</math> and <math>C</math> play the following game: On each of three cards an integer …')
  • 14:53, 23 November 2010 (diff | hist) . . (+3,241). . N 1973 IMO Problems(Created page with 'Problems of the 15th IMO 1973 in USSR. ==Problem 1== Point <math>O</math> lies on line <math>g</math>; <math>\overrightarrow{OP_1}, \overrightarrow{OP_2}, \ldots, \overrig…')
  • 14:16, 23 November 2010 (diff | hist) . . (+1,807). . N 1972 IMO Problems(Created page with 'Problems of the 14th IMO 1972 in Poland. ==Problem 1== Prove that from a set of ten distinct two-digit numbers (in the decimal system), it is possible to select two disjoi…')
  • 14:01, 22 November 2010 (diff | hist) . . (+2,771). . N 1971 IMO Problems(Created page with 'Problems of the 13th IMO 1971 in Czechoslovakia. ==Problem 1== Prove that the following assertion is true for <math>n = 3</math> and <math>n = 5</math>, and that it is fal…')
  • 13:20, 22 November 2010 (diff | hist) . . (+2,465). . N 1969 IMO Problems(Created page with 'Problems of the 11th IMO 1969 in Romania. ==Problem 1== Prove that there are infinitely many natural numbers <math>a</math> with the following property: the number <math>z…')
  • 12:38, 22 November 2010 (diff | hist) . . (+2,260). . N 1968 IMO Problems(Created page with 'Problems of the 10th IMO 1968 in USSR. ==Problem 1== Prove that there is one and only one triangle whose side lengths are consecutive integers, and one of whose angles is …')