Nested intervals
In mathematics, a sequence of nested intervals can be intuitively understood as an ordered collection of intervals I n {\displaystyle I_{n}} on the real number line with natural numbers n = 1 , 2 , 3 , … {\displaystyle n=1,2,3,\dots } as an index. In order for a sequence of intervals to be considered nested intervals, two conditions have to be met: Every interval in the sequence is contained in the previous one ( I n + 1 {\displaystyle I_{n+1}} is always a subset of I n {\displaystyle I_{n}} ).