Interactive Real Analysis
- part of Examples 7.1.2(b):
What is the norm of a partition of n equally spaced
points in the interval [a, b] ?
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If we want to divide [a, b] into n
subintervals so that each of them has the same width, then we
must choose the width of those subintervals to be
b - a / n. Moreover, the partition would
consist of the following n+1 points:
Backx0 = a = a + 0 . b - a / n
x1 = a + 1 . b - a / n
...
xn-1 = a + (n-1) . b - a / n
xn = a + n . b - a / n = b