Jon Marshall wrote: > > Beating a dead horse, not even the accepted inclusive definition of > trapezoid saves us from degenerate cases in the integration rule. If > one or more of the endpoints of a subinterval of the partition is a > zero of the function, you get a triangle or a horizontal line for the > representative area. The benefits of an inclusive definition > generally seem to be for mathematical or organizational elegance, > whereas an exclusive definition can afford quick, concise > communication. Both are worthy goals in their own situations.
And for particularly quick, concise communication one can use words like nondegenerate, nonrectangular, etc., if really needed. After all degenerate cases are often nonproblematic.