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.

Is the intersection of two star-shaped sets star-shaped?
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?
