IMO 1983 LL USS72
Prove that for all x1, x2, . . . , xn \inR the following inequality
IMO 1983 LL USS72
Origin: USS
Problem
Prove that for all x1, x2, . . . , xn \inR the following inequality holds: n\geqi>j\geq1 cos2(xi −xj) \geqn(n −2) .
Prove that for all x1, x2, . . . , xn \inR the following inequality
Origin: USS
Prove that for all x1, x2, . . . , xn \inR the following inequality holds: n\geqi>j\geq1 cos2(xi −xj) \geqn(n −2) .