ivan
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 8 How to prove this inequality $\sqrt{\frac{ab+bc+cd+da+ac+bd}{6}}\geq \sqrt[3]{{\frac{abc+bcd+cda+dab}{4}}}$ 7 Inequality. $\sqrt{\frac{11a}{5a+6b}}+\sqrt{\frac{11b}{5b+6c}}+\sqrt{\frac{11c}{5c+6a}} \leq 3$ 5 How can one prove that $\pi^4 + \pi^5 < e^6$? 4 The definition of “number” 4 Combinatorially equivalent polyhedra?

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### Questions (6)

 8 A difficult symmetric inequality 5 Power means inequality 4 Is this AM/GM refinement correct or not? 3 Ellipse and circles 1 Shortest path to the apex of a cone

### Tags (42)

 48 inequality × 31 4 polyhedra 7 reference-request × 3 4 definition 5 real-analysis × 4 4 terminology 4 calculus × 4 3 number-theory × 2 4 combinatorial-geometry 3 logarithms × 2

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