I have come across this term fairly often, where full/associate/assistant professors are referred to by the term ‘clinical’. Given that their departments had nothing to do with medicine, I thought the term referred to the second meaning of clinical:


  scientifically detached; strictly objective


Is this interpretation correct? If yes, isn’t such a branding offensive?


Question: Is the intersection of two star-shaped sets star-shaped?
Answer: Intersection of two star shaped domain is again a star shaped domain provided previous two domains are star shaped with respect to same point. Otherwise the result is not true in general.See the counterexample given by Scott.