Interval

Interval[min, max] represents the range of values between min and max.

Interval[, , , , ... ] represents the union of the ranges to , to , ....

You can perform arithmetic and other operations on Interval objects.

Example: Interval[1, 6] + Interval[0, 2] .

Min[interval] and Max[interval] give the end points of an interval.

For approximate machine- or arbitrary-precision numbers x, Interval[x] yields an interval reflecting the uncertainty in x.

In operations on intervals that involve approximate numbers, Mathematica always rounds lower limits down and upper limits up.

Interval can be generated by functions such as Limit.

Relational operators such as Equal and Less yield explicit True or False results whenever they are given disjoint intervals.

See The Mathematica Book: Section 3.6.8.

See also: Range.

Further Examples