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• 1976 USAMO Problems/Problem 5
  In general we will show that if <math>m</math> is an integer less than <math>n Let <math>\zeta, \xi, \rho</math> be three distinct primitive fifth [[roots of unity]].
  3 KB (572 words) - 16:14, 16 August 2015
• Telescoping series
  In mathematics, a telescoping series is a series whose partial sums eventually ...or <math>\sum_{k=1}^{n}\left(\frac{1}{k(k+1)}\right)</math>, where <math>n\in \mathbb{Z}^{+}</math>.
  3 KB (558 words) - 15:37, 21 July 2024
• Sharygin Olympiads, the best
  ...ssian Soros Olympiads. After his death, Russia annually hosts the Geometry Olympiad for high school students. It consists of two rounds – correspondence and ...these Olympiads will be published. The numbering contains the year of the Olympiad and the serial number of the problem. Solutions are often different from th
  43 KB (7,478 words) - 14:20, 28 October 2024