Dear Barbara, Attached is an chronological explanation of how APR works. I wrote it in response to a request from Richard Fobes, one of my correspondents on the Electorama website (http://wiki.electorama.com/wiki/Main_Page; election-methods@list.electorama.com). I'd appreciate any feedback when you can find the time, both to the formulation contained in this explanation and to the various proposed titles suggested in red which I've since added to this explanation. Steve