User blog comment:Wythagoras/My well-definedness-grades/@comment-1605058-20141007161544/@comment-1605058-20141007183435

You still didn't answer my first point. Many professionalists use ellipses, and many other "unproffesional" things in definitions, like statements of sort "...and other cases are defined analoguously". Pretty much every mathematical technique can be used by professionalists.