Partition of an interval

From AoPSWiki

A partition of an interval is a division of an interval into several disjoint sub-intervals. Partitions of intervals arise in calculus in the context of Riemann integrals.

Definition

Let $[a,b]$ be an interval of real numbers.

A partition $\mathcal{P}$ is defined as the ordered $n$ -tuple of real numbers $\mathcal{P}=(x_0,x_1,\ldots,x_n)$ such that $a=x_0<x_1<\ldots<x_n=b$