The discussion revolves around calculating the diameters of unions of intervals, specifically focusing on the definitions and implications of diameter in the context of sets of real numbers.
There is an ongoing exploration of the definitions involved, with some participants providing calculations and others questioning the correctness of those calculations. The discussion reflects a mix of interpretations regarding the diameter of unions of intervals.
Participants note the importance of understanding the definition of "diameter of a set of real numbers" as distinct from just the diameter of an interval. There is also mention of subsets affecting the calculations.
You obviously can't do that unless you know the definition of "diameter of a set or real numbers", not just the diameter of an interval. Fortunately, Dick has provided that.julia89 said:I know that the diameter for an interval [a,b] is defined as b-a
but what is
1. Diam of (-1,1]U(2,3)
2.Diam of (1,1/2)U(1/4,1/8)U(1/16,1/32)U...
Thanks