Interactive Real Analysis
- part of Definition 7.1.1: Partition of an Interval
A partition P of the closed interval [a, b] is
a finite set of points
P = { x0, x1, x2, ..., xn}
such that
Context
a = x0 < x1 < x2 < ... < xn-1 < xn = bThe maximum difference between any two consecutive points of the partition is called the norm or mesh of the partition and denoted as | P |, i.e.
| P | = max { xj - xj-1, j = 1 ... n }A refinement of the partition P is another partition P' that contains all the points from P and some additional points, again sorted by order of magnitude.
Context