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Identity involving GIF

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October 12, 2010
inequalities unsolvedinequalities

Problem Statement

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]
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