Definition 13.1.1 (Partition).label Let $[a, b] \subset \real$, then a partition of $[a, b]$ is a sequence

\[P = \seqfz{x_j}= [a = x_{0} \le \cdots \le x_{n} = b]\]

The collection $\scp([a, b])$ is the set of all partitions of $[a, b]$.

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