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
Calculating diameters of interval unions is important for understanding the overall size or range of a set of intervals. It allows for better comparison and analysis of data sets, and can help identify patterns or outliers.
The diameter of an interval is simply the difference between the maximum and minimum values of the interval. For example, if an interval is represented as [a, b], the diameter would be b - a.
An interval union is the combination of two or more intervals into one set. This can be useful when working with overlapping or adjacent intervals, as it allows for a more comprehensive view of the data.
When calculating the diameter of an interval union, the result can be a single value if there is no overlap between the intervals, or it can be a range if there is overlap. In some cases, the result may also be infinity if the intervals have no upper or lower bounds.
Calculating diameters of interval unions can be applied in a variety of scientific fields, such as statistics, biology, and physics. It can be used to analyze and compare data sets, identify trends or patterns, and make predictions based on the size of a data range.