IMO 2010 Shortlist A1
Determine all functions f : R ÑR such that the equality fprxsyqfpxqrfpyqs. (1) holds for all x,y PR. Here, by rxs we de...
Category: Algebra
Problem
Determine all functions f : R ÑR such that the equality fprxsyqfpxqrfpyqs. (1) holds for all x,y PR. Here, by rxs we denote the greatest integer not exceeding x. (France)