Last month, I watched Team USA’s Julia Mancuso earn a bronze medal in the women’s alpine skiing competition at Krasnaya Polyana, a craggy region of the ­Caucasus about 45 minutes east of Sochi. Home to the skiing and snowboarding events of the 2014 Winter Olympics, the mountain cluster saw some of the games’ tightest races, with results often separated by just a few tenths of a second.As a guest of Omega, the official timekeeper of the games, I had an insider’s view of the state-of-the-art technology that determined the winners and the losers. For example, the company introduced a new measurement device to the bobsleigh races this year that consists of speed and acceleration sensors, and a 3-D gyro-sensor, all of which deliver race data to the competitors, judges, and spectators in real time.With brains like these, it’s easy to forget that Omega is also known for its pretty fa