3 ms·

e^(τi/2) = -1 Didn't think so.

• StefanKarpinski 12y ago
  Yes, which means "a half turn around the unit circle in the complex plane is -1". Try explaining that in words without saying "half" or something equivalent to it.
  • tomp 12y ago
    Opposite of 1 on the unit circle in the complex plane is -1. Pi just means "enough of a turn to get back to the straight line".
    • sukilot 12y ago
      That's ambiguous. Which straight line? Forwards or backwards? It's a half-turn.
    • stouset 12y ago
      You mean a vector in the opposite direction. Clear as mud.
• sebastos 12y ago
  ... e^(τi) = 1 so still better.