MathDB

5

Part of 1984 IMO Longlists

Problems(1)

Identity involving GIF

Source:

10/12/2010
For a real number xx, let [x][x] denote the greatest integer not exceeding xx. If m≥3m \ge 3, prove that [m(m+1)2(2m−1)]=[m+14]\left[\frac{m(m+1)}{2(2m-1)}\right]=\left[\frac{m+1}{4}\right]
inequalities unsolvedinequalities