but they may not be as fast as traditional doctoral programs. Examples of universities that offer accelerated online Ph.D. programs include Atlantic International University, Capella University and Walden University.
A synonym of "function" is "map". We don't use "mapping" or "application" as synonyms. In the preliminary chapters (up to subgroups), the underlying set map U from groups to sets has to be applied explicitly. Thereafter, it can be a coercion. ...