Let a,b with a<b. A partitionPlanetmathPlanetmath of an interval [a,b] is a set of nonempty subintervals {[a,x1),[x1,x2),,[xn-1,b]} for some positive integer n. That is, a<x1<x2<<xn-1<b. Note that n is the number of subintervals in the partition.

Subinterval partitions are useful for defining Riemann integrals.

Note that subinterval partition is a specific case of a partition ( of a set since the subintervals are defined so that they are pairwise disjoint.

Title partition
Canonical name Partition1
Date of creation 2013-03-22 15:57:50
Last modified on 2013-03-22 15:57:50
Owner Wkbj79 (1863)
Last modified by Wkbj79 (1863)
Numerical id 8
Author Wkbj79 (1863)
Entry type Definition
Classification msc 28-00
Classification msc 26A42
Synonym subinterval partition
Related topic Subinterval